From 2b9c2a5964681934000832b7679e411c6a577ab0 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 1 Nov 2021 11:47:27 +0000 Subject: [PATCH 01/39] build based on 4f654b9 --- dev/README_old/index.html | 2 + dev/api/index.html | 15 + dev/assets/documenter.js | 264 + dev/assets/search.js | 251 + dev/assets/themes/documenter-dark.css | 7758 +++++++++++++++++++++++ dev/assets/themes/documenter-light.css | 7817 ++++++++++++++++++++++++ dev/assets/themeswap.js | 66 + dev/assets/warner.js | 49 + dev/index.html | 2 + dev/search/index.html | 2 + dev/search_index.js | 3 + dev/siteinfo.js | 1 + index.html | 2 + versions.js | 5 + 14 files changed, 16237 insertions(+) create mode 100644 dev/README_old/index.html create mode 100644 dev/api/index.html create mode 100644 dev/assets/documenter.js create mode 100644 dev/assets/search.js create mode 100644 dev/assets/themes/documenter-dark.css create mode 100644 dev/assets/themes/documenter-light.css create mode 100644 dev/assets/themeswap.js create mode 100644 dev/assets/warner.js create mode 100644 dev/index.html create mode 100644 dev/search/index.html create mode 100644 dev/search_index.js create mode 100644 dev/siteinfo.js create mode 100644 index.html create mode 100644 versions.js diff --git a/dev/README_old/index.html b/dev/README_old/index.html new file mode 100644 index 0000000..45ad831 --- /dev/null +++ b/dev/README_old/index.html @@ -0,0 +1,2 @@ + +Combinatorics · Combinatorics.jl
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Combinatorics

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A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

Installation

In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

Usage

This library provides the following functions:

  • bellnum(n): returns the n-th Bell number; always returns a BigInt;
  • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
  • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
  • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
  • combinations(a,n): returns all combinations of n elements of indexable object a;
  • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
  • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
  • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
  • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
  • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
  • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
  • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
  • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
  • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
  • legendresymbol(a,p): returns the Legendre symbol (a/p);
  • lucasnum(n): the n-th Lucas number; always returns a BigInt;
  • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
  • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
  • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
  • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
  • powerset(a): returns all subsets of an indexable object a
  • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
  • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
  • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
  • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

Young diagrams

Limited support for working with Young diagrams is provided.

  • partitionsequence(a): computes partition sequence for an integer partition a
  • x = a \ b creates the skew diagram for partitions (tuples) a, b
  • isrimhook(x): checks if skew diagram x is a rim hook
  • leglength(x): computes leg length of rim hook x
  • character(a, b): computes character the partition b in the ath irrep of Sn
diff --git a/dev/api/index.html b/dev/api/index.html new file mode 100644 index 0000000..174373a --- /dev/null +++ b/dev/api/index.html @@ -0,0 +1,15 @@ + +API reference · Combinatorics.jl
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API reference

Combinations

Combinatorics.CoolLexCombinations — Type
CoolLexCombinations

Produce $(n,k)$-combinations in cool-lex order.

Reference

Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

source
Combinatorics.combinations — Method
combinations(a, n)

Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

source
Combinatorics.combinations — Method
combinations(a)

Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

source
Combinatorics.powerset — Function
powerset(a, min=0, max=length(a))

Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

source

Factorials

Combinatorics.derangement — Method
derangement(n)

Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

source

Multinomials

Combinatorics.multiexponents — Method
multiexponents(m, n)

Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

julia> collect(multiexponents(3, 2))
+
+6-element Array{Any,1}:
+ [2, 0, 0]
+ [1, 1, 0]
+ [1, 0, 1]
+ [0, 2, 0]
+ [0, 1, 1]
+ [0, 0, 2]
source

Numbers

Combinatorics.lobbnum — Method
lobbnum(m,n)

Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number

source
Combinatorics.narayana — Method
narayana(n,k)

Compute the Narayana number N(n,k)given by\frac{1}{n}\binom{n}{k}\binom{n}{k-1}` Wikipedia : https://en.wikipedia.org/wiki/Narayana_number

source

Partitions

Combinatorics.integer_partitions — Method
integer_partitions(n)

List the partitions of the integer n.

Note

The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.

source
Combinatorics.partitions — Method
partitions(s::AbstractVector, m::Int)

Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).

source
Combinatorics.partitions — Method
partitions(s::AbstractVector)

Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).

source
Combinatorics.partitions — Method
partitions(n, m)

Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).

source
Combinatorics.partitions — Method
partitions(n)

Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).

source
Combinatorics.prevprod — Method
prevprod(a::Vector{Int}, x)

Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.

For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that

\[i_1^n_1 i_2^n_2 i_3^n_3 \leq x\]

for integers $n_1$, $n_2$, $n_3$.

source

Permutations

Combinatorics.levicivita — Method
levicivita(p)

Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

source
Combinatorics.nthperm — Method
nthperm(p)

Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

source
Combinatorics.parity — Method
parity(p)

Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

source
Combinatorics.permutations — Method
permutations(a)

Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.

source

Young diagrams

Combinatorics.character — Method
character(λ::Partition, μ::Partition)

Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

Implements the Murnaghan-Nakayama algorithm as described in:

Dan Bernstein,
+"The computational complexity of rules for the character table of Sn",
+Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
+doi:10.1016/j.jsc.2003.11.001
source
Combinatorics.isrimhook — Method
isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

Check whether the given skew diagram is a rim hook.

source
Combinatorics.leglength — Method
leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

Compute the leg length for the given skew diagram.

Note

Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

source
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"strict" : "loose"].exec(str), + uri = {}, + i = 14; + + while (i--) uri[o.key[i]] = m[i] || ""; + + uri[o.q.name] = {}; + uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { + if ($1) uri[o.q.name][$1] = $2; + }); + + return uri; + }; + parseUri.options = { + strictMode: false, + key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], + q: { + name: "queryKey", + parser: /(?:^|&)([^&=]*)=?([^&]*)/g + }, + parser: { + strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, + loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ + } + }; + + $("#search-form").submit(function(e) { + e.preventDefault() + }) + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + lunr.stopWordFilter = lunr.generateStopWordFilter([ + 'a', + 'able', + 'about', + 'across', + 'after', + 'almost', + 'also', + 'am', + 'among', + 'an', + 'and', + 'are', + 'as', + 'at', + 'be', + 'because', + 'been', + 'but', + 'by', + 'can', + 'cannot', + 'could', + 'dear', + 'did', + 'does', + 'either', + 'ever', + 'every', + 'from', + 'got', + 'had', + 'has', + 'have', + 'he', + 'her', + 'hers', + 'him', + 'his', + 'how', + 'however', + 'i', + 'if', + 'into', + 'it', + 'its', + 'just', + 'least', + 'like', + 'likely', + 'may', + 'me', + 'might', + 'most', + 'must', + 'my', + 'neither', + 'no', + 'nor', + 'not', + 'of', + 'off', + 'often', + 'on', + 'or', + 'other', + 'our', + 'own', + 'rather', + 'said', + 'say', + 'says', + 'she', + 'should', + 'since', + 'so', + 'some', + 'than', + 'that', + 'the', + 'their', + 'them', + 'then', + 'there', + 'these', + 'they', + 'this', + 'tis', + 'to', + 'too', + 'twas', + 'us', + 'wants', + 'was', + 'we', + 'were', + 'what', + 'when', + 'who', + 'whom', + 'why', + 'will', + 'would', + 'yet', + 'you', + 'your' + ]) + + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" + // would not find anything if searching for "add!", only for the entire qualification + lunr.tokenizer.separator = /[\s\-\.]+/ + + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + lunr.trimmer = function (token) { + return token.update(function (s) { + return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') + }) + } + + lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') + lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') + + var index = lunr(function () { + this.ref('location') + this.field('title',{boost: 100}) + this.field('text') + documenterSearchIndex['docs'].forEach(function(e) { + this.add(e) + }, this) + }) + var store = {} + + documenterSearchIndex['docs'].forEach(function(e) { + store[e.location] = {title: e.title, category: e.category, page: e.page} + }) + + $(function(){ + searchresults = $('#documenter-search-results'); + searchinfo = $('#documenter-search-info'); + searchbox = $('#documenter-search-query'); + function update_search(querystring) { + tokens = lunr.tokenizer(querystring) + results = index.query(function (q) { + tokens.forEach(function (t) { + q.term(t.toString(), { + fields: ["title"], + boost: 100, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["title"], + boost: 10, + usePipeline: true, + editDistance: 2, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["text"], + boost: 1, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + }) + }) + searchinfo.text("Number of results: " + results.length) + searchresults.empty() + results.forEach(function(result) { + data = store[result.ref] + link = $(''+data.title+'') + link.attr('href', documenterBaseURL+'/'+result.ref) + if (data.category != "page"){ + cat = $('('+data.category+', '+data.page+')') + } else { + cat = $('('+data.category+')') + } + li = $('
  • ').append(link).append(" ").append(cat) + searchresults.append(li) + }) + } + + function update_search_box() { + querystring = searchbox.val() + update_search(querystring) + } + + searchbox.keyup(_.debounce(update_search_box, 250)) + searchbox.change(update_search_box) + + search_query_uri = parseUri(window.location).queryKey["q"] + if(search_query_uri !== undefined) { + search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) + searchbox.val(search_query) + } + update_search_box(); + }) +}) + +}) diff --git a/dev/assets/themes/documenter-dark.css b/dev/assets/themes/documenter-dark.css new file mode 100644 index 0000000..65e34e4 --- /dev/null +++ b/dev/assets/themes/documenter-dark.css @@ -0,0 +1,7758 @@ +@charset "UTF-8"; +/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */ +@keyframes spinAround { + from { + transform: rotate(0deg); } + to { + transform: rotate(359deg); } } + +html.theme--documenter-dark .delete, html.theme--documenter-dark .modal-close, .is-unselectable, html.theme--documenter-dark .button, html.theme--documenter-dark .file, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .pagination-previous, +html.theme--documenter-dark .pagination-next, +html.theme--documenter-dark .pagination-link, +html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .tabs { + -webkit-touch-callout: none; + -webkit-user-select: none; + -moz-user-select: none; + -ms-user-select: none; + user-select: none; } + +html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after, html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after { + border: 3px solid transparent; + border-radius: 2px; + border-right: 0; + border-top: 0; + content: " "; + display: block; + height: 0.625em; + margin-top: -0.4375em; + pointer-events: none; + position: absolute; + top: 50%; + transform: rotate(-45deg); + transform-origin: center; + width: 0.625em; } + +html.theme--documenter-dark .box:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .title:not(:last-child), +html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .admonition:not(:last-child) { + margin-bottom: 1.5rem; } + +html.theme--documenter-dark .delete, html.theme--documenter-dark .modal-close { + -moz-appearance: none; + -webkit-appearance: none; + background-color: rgba(10, 10, 10, 0.2); + border: none; + border-radius: 290486px; + cursor: pointer; + pointer-events: auto; + display: inline-block; + flex-grow: 0; + flex-shrink: 0; + font-size: 0; + height: 20px; + max-height: 20px; + max-width: 20px; + min-height: 20px; + min-width: 20px; + outline: none; + position: relative; + vertical-align: top; + width: 20px; } + html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::after, html.theme--documenter-dark .modal-close::after { + background-color: white; + content: ""; + display: block; + left: 50%; + position: absolute; + top: 50%; + transform: translateX(-50%) translateY(-50%) rotate(45deg); + transform-origin: center center; } + html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::before { + height: 2px; + width: 50%; } + html.theme--documenter-dark .delete::after, html.theme--documenter-dark .modal-close::after { + height: 50%; + width: 2px; } + html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:focus, html.theme--documenter-dark .modal-close:focus { + background-color: rgba(10, 10, 10, 0.3); } + html.theme--documenter-dark .delete:active, html.theme--documenter-dark .modal-close:active { + background-color: rgba(10, 10, 10, 0.4); } + html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete, html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close { + height: 16px; + max-height: 16px; + max-width: 16px; + min-height: 16px; + min-width: 16px; + width: 16px; } + html.theme--documenter-dark .is-medium.delete, html.theme--documenter-dark .is-medium.modal-close { + height: 24px; + max-height: 24px; + max-width: 24px; + min-height: 24px; + min-width: 24px; + width: 24px; } + html.theme--documenter-dark .is-large.delete, html.theme--documenter-dark .is-large.modal-close { + height: 32px; + max-height: 32px; + max-width: 32px; + min-height: 32px; + min-width: 32px; + width: 32px; } + +html.theme--documenter-dark .button.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .control.is-loading::after { + animation: spinAround 500ms infinite linear; + border: 2px solid #dbdee0; + border-radius: 290486px; + border-right-color: transparent; + border-top-color: transparent; + content: ""; + display: block; + height: 1em; + position: relative; + width: 1em; } + +.is-overlay, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img, +html.theme--documenter-dark .image.is-square .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img, +html.theme--documenter-dark .image.is-1by1 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img, +html.theme--documenter-dark .image.is-5by4 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img, +html.theme--documenter-dark .image.is-4by3 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img, +html.theme--documenter-dark .image.is-3by2 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img, +html.theme--documenter-dark .image.is-5by3 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img, +html.theme--documenter-dark .image.is-16by9 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img, +html.theme--documenter-dark .image.is-2by1 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img, +html.theme--documenter-dark .image.is-3by1 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img, +html.theme--documenter-dark .image.is-4by5 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img, +html.theme--documenter-dark .image.is-3by4 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img, +html.theme--documenter-dark .image.is-2by3 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img, +html.theme--documenter-dark .image.is-3by5 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img, +html.theme--documenter-dark .image.is-9by16 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img, +html.theme--documenter-dark .image.is-1by2 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img, +html.theme--documenter-dark .image.is-1by3 .has-ratio, +html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, html.theme--documenter-dark .modal, html.theme--documenter-dark .modal-background, html.theme--documenter-dark .hero-video { + bottom: 0; + left: 0; + position: absolute; + right: 0; + top: 0; } + +html.theme--documenter-dark .button, html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .textarea, html.theme--documenter-dark .select select, html.theme--documenter-dark .file-cta, +html.theme--documenter-dark .file-name, html.theme--documenter-dark .pagination-previous, +html.theme--documenter-dark .pagination-next, +html.theme--documenter-dark .pagination-link, +html.theme--documenter-dark .pagination-ellipsis { + -moz-appearance: none; + -webkit-appearance: none; + align-items: center; + border: 1px solid transparent; + border-radius: 0.4em; + box-shadow: none; + display: inline-flex; + font-size: 15px; + height: 2.25em; + justify-content: flex-start; + line-height: 1.5; + padding-bottom: calc(0.375em - 1px); + padding-left: calc(0.625em - 1px); + padding-right: calc(0.625em - 1px); + padding-top: calc(0.375em - 1px); + position: relative; + vertical-align: top; } + html.theme--documenter-dark .button:focus, html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .file-cta:focus, + html.theme--documenter-dark .file-name:focus, html.theme--documenter-dark .pagination-previous:focus, + html.theme--documenter-dark .pagination-next:focus, + html.theme--documenter-dark .pagination-link:focus, + html.theme--documenter-dark .pagination-ellipsis:focus, html.theme--documenter-dark .is-focused.button, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .is-focused.file-cta, + html.theme--documenter-dark .is-focused.file-name, html.theme--documenter-dark .is-focused.pagination-previous, + html.theme--documenter-dark .is-focused.pagination-next, + html.theme--documenter-dark .is-focused.pagination-link, + html.theme--documenter-dark .is-focused.pagination-ellipsis, html.theme--documenter-dark .button:active, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .file-cta:active, + html.theme--documenter-dark .file-name:active, html.theme--documenter-dark .pagination-previous:active, + html.theme--documenter-dark .pagination-next:active, + html.theme--documenter-dark .pagination-link:active, + html.theme--documenter-dark .pagination-ellipsis:active, html.theme--documenter-dark .is-active.button, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .select select.is-active, html.theme--documenter-dark .is-active.file-cta, + html.theme--documenter-dark .is-active.file-name, html.theme--documenter-dark .is-active.pagination-previous, + html.theme--documenter-dark .is-active.pagination-next, + html.theme--documenter-dark .is-active.pagination-link, + html.theme--documenter-dark .is-active.pagination-ellipsis { + outline: none; } + html.theme--documenter-dark .button[disabled], html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .select select[disabled], html.theme--documenter-dark .file-cta[disabled], + html.theme--documenter-dark .file-name[disabled], html.theme--documenter-dark .pagination-previous[disabled], + html.theme--documenter-dark .pagination-next[disabled], + html.theme--documenter-dark .pagination-link[disabled], + html.theme--documenter-dark .pagination-ellipsis[disabled], + fieldset[disabled] html.theme--documenter-dark .button, + html.theme--documenter-dark fieldset[disabled] .button, + fieldset[disabled] html.theme--documenter-dark .input, + html.theme--documenter-dark fieldset[disabled] .input, + fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, + fieldset[disabled] html.theme--documenter-dark .textarea, + html.theme--documenter-dark fieldset[disabled] .textarea, + fieldset[disabled] html.theme--documenter-dark .select select, + html.theme--documenter-dark .select fieldset[disabled] select, + fieldset[disabled] html.theme--documenter-dark .file-cta, + html.theme--documenter-dark fieldset[disabled] .file-cta, + fieldset[disabled] html.theme--documenter-dark .file-name, + html.theme--documenter-dark fieldset[disabled] .file-name, + fieldset[disabled] html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark fieldset[disabled] .pagination-previous, + fieldset[disabled] html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark fieldset[disabled] .pagination-next, + fieldset[disabled] html.theme--documenter-dark .pagination-link, + html.theme--documenter-dark fieldset[disabled] .pagination-link, + fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis, + html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis { + cursor: not-allowed; } + +/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */ +html, +body, +p, +ol, +ul, +li, +dl, +dt, +dd, +blockquote, +figure, +fieldset, +legend, +textarea, +pre, +iframe, +hr, +h1, +h2, +h3, +h4, +h5, +h6 { + margin: 0; + padding: 0; } + +h1, +h2, +h3, +h4, +h5, +h6 { + font-size: 100%; + font-weight: normal; } + +ul { + list-style: none; } + +button, +input, +select, +textarea { + margin: 0; } + +html { + box-sizing: border-box; } + +*, *::before, *::after { + box-sizing: inherit; } + +img, +embed, +iframe, +object, +video { + height: auto; + max-width: 100%; } + +audio { + max-width: 100%; } + +iframe { + border: 0; } + +table { + border-collapse: collapse; + border-spacing: 0; } + +td, +th { + padding: 0; } + td:not([align]), + th:not([align]) { + text-align: left; } + +.is-clearfix::after { + clear: both; + content: " "; + display: table; } + +.is-pulled-left { + float: left !important; } + +.is-pulled-right { + float: right !important; } + +.is-clipped { + overflow: hidden !important; } + +.is-size-1 { + font-size: 3rem !important; } + +.is-size-2 { + font-size: 2.5rem !important; } + +.is-size-3 { + font-size: 2rem !important; } + +.is-size-4 { + font-size: 1.5rem !important; } + +.is-size-5 { + font-size: 1.25rem !important; } + +.is-size-6 { + font-size: 15px !important; } + +.is-size-7, html.theme--documenter-dark .docstring > section > a.docs-sourcelink { + font-size: 0.85em !important; } + +@media screen and (max-width: 768px) { + .is-size-1-mobile { + font-size: 3rem !important; } + .is-size-2-mobile { + font-size: 2.5rem !important; } + .is-size-3-mobile { + font-size: 2rem !important; } + .is-size-4-mobile { + font-size: 1.5rem !important; } + .is-size-5-mobile { + font-size: 1.25rem !important; } + .is-size-6-mobile { + font-size: 15px !important; } + .is-size-7-mobile { + font-size: 0.85em !important; } } + +@media screen and (min-width: 769px), print { + .is-size-1-tablet { + font-size: 3rem !important; } + .is-size-2-tablet { + font-size: 2.5rem !important; } + .is-size-3-tablet { + font-size: 2rem !important; } + .is-size-4-tablet { + font-size: 1.5rem !important; } + .is-size-5-tablet { + font-size: 1.25rem !important; } + .is-size-6-tablet { + font-size: 15px !important; } + .is-size-7-tablet { + font-size: 0.85em !important; } } + +@media screen and (max-width: 1055px) { + .is-size-1-touch { + font-size: 3rem !important; } + .is-size-2-touch { + font-size: 2.5rem !important; } + .is-size-3-touch { + font-size: 2rem !important; } + .is-size-4-touch { + font-size: 1.5rem !important; } + .is-size-5-touch { + font-size: 1.25rem !important; } + .is-size-6-touch { + font-size: 15px !important; } + .is-size-7-touch { + font-size: 0.85em !important; } } + +@media screen and (min-width: 1056px) { + .is-size-1-desktop { + font-size: 3rem !important; } + .is-size-2-desktop { + font-size: 2.5rem !important; } + .is-size-3-desktop { + font-size: 2rem !important; } + .is-size-4-desktop { + font-size: 1.5rem !important; } + .is-size-5-desktop { + font-size: 1.25rem !important; } + .is-size-6-desktop { + font-size: 15px !important; } + .is-size-7-desktop { + font-size: 0.85em !important; } } + +@media screen and (min-width: 1216px) { + .is-size-1-widescreen { + font-size: 3rem !important; } + .is-size-2-widescreen { + font-size: 2.5rem !important; } + .is-size-3-widescreen { + font-size: 2rem !important; } + .is-size-4-widescreen { + font-size: 1.5rem !important; } + .is-size-5-widescreen { + font-size: 1.25rem !important; } + .is-size-6-widescreen { + font-size: 15px !important; } + .is-size-7-widescreen { + font-size: 0.85em !important; } } + +@media screen and (min-width: 1408px) { + .is-size-1-fullhd { + font-size: 3rem !important; } + .is-size-2-fullhd { + font-size: 2.5rem !important; } + .is-size-3-fullhd { + font-size: 2rem !important; } + .is-size-4-fullhd { + font-size: 1.5rem !important; } + .is-size-5-fullhd { + font-size: 1.25rem !important; } + .is-size-6-fullhd { + font-size: 15px !important; } + .is-size-7-fullhd { + font-size: 0.85em !important; } } + +.has-text-centered { + text-align: center !important; } + +.has-text-justified { + text-align: justify !important; } + +.has-text-left { + text-align: left !important; } + +.has-text-right { + text-align: right !important; } + +@media screen and (max-width: 768px) { + .has-text-centered-mobile { + text-align: center !important; } } + +@media screen and (min-width: 769px), print { + .has-text-centered-tablet { + text-align: center !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-centered-tablet-only { + text-align: center !important; } } + +@media screen and (max-width: 1055px) { + .has-text-centered-touch { + text-align: center !important; } } + +@media screen and (min-width: 1056px) { + .has-text-centered-desktop { + text-align: center !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-centered-desktop-only { + text-align: center !important; } } + +@media screen and (min-width: 1216px) { + .has-text-centered-widescreen { + text-align: center !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-centered-widescreen-only { + text-align: center !important; } } + +@media screen and (min-width: 1408px) { + .has-text-centered-fullhd { + text-align: center !important; } } + +@media screen and (max-width: 768px) { + .has-text-justified-mobile { + text-align: justify !important; } } + +@media screen and (min-width: 769px), print { + .has-text-justified-tablet { + text-align: justify !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-justified-tablet-only { + text-align: justify !important; } } + +@media screen and (max-width: 1055px) { + .has-text-justified-touch { + text-align: justify !important; } } + +@media screen and (min-width: 1056px) { + .has-text-justified-desktop { + text-align: justify !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-justified-desktop-only { + text-align: justify !important; } } + +@media screen and (min-width: 1216px) { + .has-text-justified-widescreen { + text-align: justify !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-justified-widescreen-only { + text-align: justify !important; } } + +@media screen and (min-width: 1408px) { + .has-text-justified-fullhd { + text-align: justify !important; } } + +@media screen and (max-width: 768px) { + .has-text-left-mobile { + text-align: left !important; } } + +@media screen and (min-width: 769px), print { + .has-text-left-tablet { + text-align: left !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-left-tablet-only { + text-align: left !important; } } + +@media screen and (max-width: 1055px) { + .has-text-left-touch { + text-align: left !important; } } + +@media screen and (min-width: 1056px) { + .has-text-left-desktop { + text-align: left !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-left-desktop-only { + text-align: left !important; } } + +@media screen and (min-width: 1216px) { + .has-text-left-widescreen { + text-align: left !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-left-widescreen-only { + text-align: left !important; } } + +@media screen and (min-width: 1408px) { + .has-text-left-fullhd { + text-align: left !important; } } + +@media screen and (max-width: 768px) { + .has-text-right-mobile { + text-align: right !important; } } + +@media screen and (min-width: 769px), print { + .has-text-right-tablet { + text-align: right !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-right-tablet-only { + text-align: right !important; } } + +@media screen and (max-width: 1055px) { + .has-text-right-touch { + text-align: right !important; } } + +@media screen and (min-width: 1056px) { + .has-text-right-desktop { + text-align: right !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-right-desktop-only { + text-align: right !important; } } + +@media screen and (min-width: 1216px) { + .has-text-right-widescreen { + text-align: right !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-right-widescreen-only { + text-align: right !important; } } + +@media screen and (min-width: 1408px) { + .has-text-right-fullhd { + text-align: right !important; } } + +.is-capitalized { + text-transform: capitalize !important; } + +.is-lowercase { + text-transform: lowercase !important; } + +.is-uppercase { + text-transform: uppercase !important; } + +.is-italic { + font-style: italic !important; } + +.has-text-white { + color: white !important; } + +a.has-text-white:hover, a.has-text-white:focus { + color: #e6e6e6 !important; } + +.has-background-white { + background-color: white !important; } + +.has-text-black { + color: #0a0a0a !important; } + +a.has-text-black:hover, a.has-text-black:focus { + color: black !important; } + +.has-background-black { + background-color: #0a0a0a !important; } + +.has-text-light { + color: #ecf0f1 !important; } + +a.has-text-light:hover, a.has-text-light:focus { + color: #cfd9db !important; } + +.has-background-light { + background-color: #ecf0f1 !important; } + +.has-text-dark { + color: #282f2f !important; } + +a.has-text-dark:hover, a.has-text-dark:focus { + color: #111414 !important; } + +.has-background-dark { + background-color: #282f2f !important; } + +.has-text-primary { + color: #375a7f !important; } + +a.has-text-primary:hover, a.has-text-primary:focus { + color: #28415b !important; } + +.has-background-primary { + background-color: #375a7f !important; } + +.has-text-link { + color: #1abc9c !important; } + +a.has-text-link:hover, a.has-text-link:focus { + color: #148f77 !important; } + +.has-background-link { + background-color: #1abc9c !important; } + +.has-text-info { + color: #024c7d !important; } + +a.has-text-info:hover, a.has-text-info:focus { + color: #012d4b !important; } + +.has-background-info { + background-color: #024c7d !important; } + +.has-text-success { + color: #008438 !important; } + +a.has-text-success:hover, a.has-text-success:focus { + color: #005122 !important; } + +.has-background-success { + background-color: #008438 !important; } + +.has-text-warning { + color: #ad8100 !important; } + +a.has-text-warning:hover, a.has-text-warning:focus { + color: #7a5b00 !important; } + +.has-background-warning { + background-color: #ad8100 !important; } + +.has-text-danger { + color: #9e1b0d !important; } + +a.has-text-danger:hover, a.has-text-danger:focus { + color: #6f1309 !important; } + +.has-background-danger { + background-color: #9e1b0d !important; } + +.has-text-black-bis { + color: #121212 !important; } + +.has-background-black-bis { + background-color: #121212 !important; } + +.has-text-black-ter { + color: #242424 !important; } + +.has-background-black-ter { + background-color: #242424 !important; } + +.has-text-grey-darker { + color: #282f2f !important; } + +.has-background-grey-darker { + background-color: #282f2f !important; } + +.has-text-grey-dark { + color: #343c3d !important; } + +.has-background-grey-dark { + background-color: #343c3d !important; } + +.has-text-grey { + color: #5e6d6f !important; } + +.has-background-grey { + background-color: #5e6d6f !important; } + +.has-text-grey-light { + color: #8c9b9d !important; } + +.has-background-grey-light { + background-color: #8c9b9d !important; } + +.has-text-grey-lighter { + color: #dbdee0 !important; } + +.has-background-grey-lighter { + background-color: #dbdee0 !important; } + +.has-text-white-ter { + color: #ecf0f1 !important; } + +.has-background-white-ter { + background-color: #ecf0f1 !important; } + +.has-text-white-bis { + color: #fafafa !important; } + +.has-background-white-bis { + background-color: #fafafa !important; } + +.has-text-weight-light { + font-weight: 300 !important; } + +.has-text-weight-normal { + font-weight: 400 !important; } + +.has-text-weight-medium { + font-weight: 500 !important; } + +.has-text-weight-semibold { + font-weight: 600 !important; } + +.has-text-weight-bold { + font-weight: 700 !important; } + +.is-family-primary { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-secondary { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-sans-serif { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-monospace { + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } + +.is-family-code { + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } + +.is-block { + display: block !important; } + +@media screen and (max-width: 768px) { + .is-block-mobile { + display: block !important; } } + +@media screen and (min-width: 769px), print { + .is-block-tablet { + display: block !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-block-tablet-only { + display: block !important; } } + +@media screen and (max-width: 1055px) { + .is-block-touch { + display: block !important; } } + +@media screen and (min-width: 1056px) { + .is-block-desktop { + display: block !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-block-desktop-only { + display: block !important; } } + +@media screen and (min-width: 1216px) { + .is-block-widescreen { + display: block !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-block-widescreen-only { + display: block !important; } } + +@media screen and (min-width: 1408px) { + .is-block-fullhd { + display: block !important; } } + +.is-flex { + display: flex !important; } + +@media screen and (max-width: 768px) { + .is-flex-mobile { + display: flex !important; } } + +@media screen and (min-width: 769px), print { + .is-flex-tablet { + display: flex !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-flex-tablet-only { + display: flex !important; } } + +@media screen and (max-width: 1055px) { + .is-flex-touch { + display: flex !important; } } + +@media screen and (min-width: 1056px) { + .is-flex-desktop { + display: flex !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-flex-desktop-only { + display: flex !important; } } + +@media screen and (min-width: 1216px) { + .is-flex-widescreen { + display: flex !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-flex-widescreen-only { + display: flex !important; } } + +@media screen and (min-width: 1408px) { + .is-flex-fullhd { + display: flex !important; } } + +.is-inline { + display: inline !important; } + +@media screen and (max-width: 768px) { + .is-inline-mobile { + display: inline !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-tablet { + display: inline !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-tablet-only { + display: inline !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-touch { + display: inline !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-desktop { + display: inline !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-desktop-only { + display: inline !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-widescreen { + display: inline !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-widescreen-only { + display: inline !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-fullhd { + display: inline !important; } } + +.is-inline-block { + display: inline-block !important; } + +@media screen and (max-width: 768px) { + .is-inline-block-mobile { + display: inline-block !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-block-tablet { + display: inline-block !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-block-tablet-only { + display: inline-block !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-block-touch { + display: inline-block !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-block-desktop { + display: inline-block !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-block-desktop-only { + display: inline-block !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-block-widescreen { + display: inline-block !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-block-widescreen-only { + display: inline-block !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-block-fullhd { + display: inline-block !important; } } + +.is-inline-flex { + display: inline-flex !important; } + +@media screen and (max-width: 768px) { + .is-inline-flex-mobile { + display: inline-flex !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-flex-tablet { + display: inline-flex !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-flex-tablet-only { + display: inline-flex !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-flex-touch { + display: inline-flex !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-flex-desktop { + display: inline-flex !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-flex-desktop-only { + display: inline-flex !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-flex-widescreen { + display: inline-flex !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-flex-widescreen-only { + display: inline-flex !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-flex-fullhd { + display: inline-flex !important; } } + +.is-hidden { + display: none !important; } + +.is-sr-only { + border: none !important; + clip: rect(0, 0, 0, 0) !important; + height: 0.01em !important; + overflow: hidden !important; + padding: 0 !important; + position: absolute !important; + white-space: nowrap !important; + width: 0.01em !important; } + +@media screen and (max-width: 768px) { + .is-hidden-mobile { + display: none !important; } } + +@media screen and (min-width: 769px), print { + .is-hidden-tablet { + display: none !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-hidden-tablet-only { + display: none !important; } } + +@media screen and (max-width: 1055px) { + .is-hidden-touch { + display: none !important; } } + +@media screen and (min-width: 1056px) { + .is-hidden-desktop { + display: none !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-hidden-desktop-only { + display: none !important; } } + +@media screen and (min-width: 1216px) { + .is-hidden-widescreen { + display: none !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-hidden-widescreen-only { + display: none !important; } } + +@media screen and (min-width: 1408px) { + .is-hidden-fullhd { + display: none !important; } } + +.is-invisible { + visibility: hidden !important; } + +@media screen and (max-width: 768px) { + .is-invisible-mobile { + visibility: hidden !important; } } + +@media screen and (min-width: 769px), print { + .is-invisible-tablet { + visibility: hidden !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-invisible-tablet-only { + visibility: hidden !important; } } + +@media screen and (max-width: 1055px) { + .is-invisible-touch { + visibility: hidden !important; } } + +@media screen and (min-width: 1056px) { + .is-invisible-desktop { + visibility: hidden !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-invisible-desktop-only { + visibility: hidden !important; } } + +@media screen and (min-width: 1216px) { + .is-invisible-widescreen { + visibility: hidden !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-invisible-widescreen-only { + visibility: hidden !important; } } + +@media screen and (min-width: 1408px) { + .is-invisible-fullhd { + visibility: hidden !important; } } + +.is-marginless { + margin: 0 !important; } + +.is-paddingless { + padding: 0 !important; } + +.is-radiusless { + border-radius: 0 !important; } + +.is-shadowless { + box-shadow: none !important; } + +.is-relative { + position: relative !important; } + +html.theme--documenter-dark { + /* This file contain the overall layout. + * + * The main container is
    that is identified by id #documenter. + */ + /*! + Theme: a11y-dark + Author: @ericwbailey + Maintainer: @ericwbailey + + Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css +*/ + /* Comment */ + /* Red */ + /* Orange */ + /* Yellow */ + /* Green */ + /* Blue */ + /* Purple */ } + html.theme--documenter-dark html { + background-color: #1f2424; + font-size: 16px; + -moz-osx-font-smoothing: grayscale; + -webkit-font-smoothing: antialiased; + min-width: 300px; + overflow-x: auto; + overflow-y: scroll; + text-rendering: optimizeLegibility; + text-size-adjust: 100%; } + html.theme--documenter-dark article, + html.theme--documenter-dark aside, + html.theme--documenter-dark figure, + html.theme--documenter-dark footer, + html.theme--documenter-dark header, + html.theme--documenter-dark hgroup, + html.theme--documenter-dark section { + display: block; } + html.theme--documenter-dark body, + html.theme--documenter-dark button, + html.theme--documenter-dark input, + html.theme--documenter-dark select, + html.theme--documenter-dark textarea { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif; } + html.theme--documenter-dark code, + html.theme--documenter-dark pre { + -moz-osx-font-smoothing: auto; + -webkit-font-smoothing: auto; + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace; } + html.theme--documenter-dark body { + color: #fff; + font-size: 1em; + font-weight: 400; + line-height: 1.5; } + html.theme--documenter-dark a { + color: #1abc9c; + cursor: pointer; + text-decoration: none; } + html.theme--documenter-dark a strong { + color: currentColor; } + html.theme--documenter-dark a:hover { + color: #1dd2af; } + html.theme--documenter-dark code { + background-color: rgba(255, 255, 255, 0.05); + color: #ececec; + font-size: 0.875em; + font-weight: normal; + padding: 0.1em; } + html.theme--documenter-dark hr { + background-color: #282f2f; + border: none; + display: block; + height: 2px; + margin: 1.5rem 0; } + html.theme--documenter-dark img { + height: auto; + max-width: 100%; } + html.theme--documenter-dark input[type="checkbox"], + html.theme--documenter-dark input[type="radio"] { + vertical-align: baseline; } + html.theme--documenter-dark small { + font-size: 0.875em; } + html.theme--documenter-dark span { + font-style: inherit; + font-weight: inherit; } + html.theme--documenter-dark strong { + color: #f2f2f2; + font-weight: 700; } + html.theme--documenter-dark fieldset { + border: none; } + html.theme--documenter-dark pre { + -webkit-overflow-scrolling: touch; + background-color: #282f2f; + color: #fff; + font-size: 0.875em; + overflow-x: auto; + padding: 1.25rem 1.5rem; + white-space: pre; + word-wrap: normal; } + html.theme--documenter-dark pre code { + background-color: transparent; + color: currentColor; + font-size: 1em; + padding: 0; } + html.theme--documenter-dark table td, + html.theme--documenter-dark table th { + vertical-align: top; } + html.theme--documenter-dark table td:not([align]), + html.theme--documenter-dark table th:not([align]) { + text-align: left; } + html.theme--documenter-dark table th { + color: #f2f2f2; } + html.theme--documenter-dark .box { + background-color: #343c3d; + border-radius: 8px; + box-shadow: none; + color: #fff; + display: block; + padding: 1.25rem; } + html.theme--documenter-dark a.box:hover, html.theme--documenter-dark a.box:focus { + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #1abc9c; } + html.theme--documenter-dark a.box:active { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #1abc9c; } + html.theme--documenter-dark .button { + background-color: #282f2f; + border-color: #4c5759; + border-width: 1px; + color: #375a7f; + cursor: pointer; + justify-content: center; + padding-bottom: calc(0.375em - 1px); + padding-left: 0.75em; + padding-right: 0.75em; + padding-top: calc(0.375em - 1px); + text-align: center; + white-space: nowrap; } + html.theme--documenter-dark .button strong { + color: inherit; } + html.theme--documenter-dark .button .icon, html.theme--documenter-dark .button .icon.is-small, html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search > input.icon, html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search > input.icon, html.theme--documenter-dark .button .icon.is-medium, html.theme--documenter-dark .button .icon.is-large { + height: 1.5em; + width: 1.5em; } + html.theme--documenter-dark .button .icon:first-child:not(:last-child) { + margin-left: calc(-0.375em - 1px); + margin-right: 0.1875em; } + html.theme--documenter-dark .button .icon:last-child:not(:first-child) { + margin-left: 0.1875em; + margin-right: calc(-0.375em - 1px); } + html.theme--documenter-dark .button .icon:first-child:last-child { + margin-left: calc(-0.375em - 1px); + margin-right: calc(-0.375em - 1px); } + html.theme--documenter-dark .button:hover, html.theme--documenter-dark .button.is-hovered { + border-color: #8c9b9d; + color: #f2f2f2; } + html.theme--documenter-dark .button:focus, html.theme--documenter-dark .button.is-focused { + border-color: #8c9b9d; + color: #17a689; } + html.theme--documenter-dark .button:focus:not(:active), html.theme--documenter-dark .button.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .button:active, html.theme--documenter-dark .button.is-active { + border-color: #343c3d; + color: #f2f2f2; } + html.theme--documenter-dark .button.is-text { + background-color: transparent; + border-color: transparent; + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .button.is-text:hover, html.theme--documenter-dark .button.is-text.is-hovered, html.theme--documenter-dark .button.is-text:focus, html.theme--documenter-dark .button.is-text.is-focused { + background-color: #282f2f; + color: #f2f2f2; } + html.theme--documenter-dark .button.is-text:active, html.theme--documenter-dark .button.is-text.is-active { + background-color: #1d2122; + color: #f2f2f2; } + html.theme--documenter-dark .button.is-text[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-text { + background-color: transparent; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-white { + background-color: white; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white:hover, html.theme--documenter-dark .button.is-white.is-hovered { + background-color: #f9f9f9; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white:focus, html.theme--documenter-dark .button.is-white.is-focused { + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white:focus:not(:active), html.theme--documenter-dark .button.is-white.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white.is-active { + background-color: #f2f2f2; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-white { + background-color: white; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-white.is-inverted { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .button.is-white.is-inverted:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-hovered { + background-color: black; } + html.theme--documenter-dark .button.is-white.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted { + background-color: #0a0a0a; + border-color: transparent; + box-shadow: none; + color: white; } + html.theme--documenter-dark .button.is-white.is-loading::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + html.theme--documenter-dark .button.is-white.is-outlined { + background-color: transparent; + border-color: white; + color: white; } + html.theme--documenter-dark .button.is-white.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-outlined.is-focused { + background-color: white; + border-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after { + border-color: transparent transparent white white !important; } + html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + html.theme--documenter-dark .button.is-white.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined { + background-color: transparent; + border-color: white; + box-shadow: none; + color: white; } + html.theme--documenter-dark .button.is-white.is-inverted.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent white white !important; } + html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + box-shadow: none; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black { + background-color: #0a0a0a; + border-color: transparent; + color: white; } + html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered { + background-color: #040404; + border-color: transparent; + color: white; } + html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused { + border-color: transparent; + color: white; } + html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active { + background-color: black; + border-color: transparent; + color: white; } + html.theme--documenter-dark .button.is-black[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-black { + background-color: #0a0a0a; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-black.is-inverted { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-black.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted { + background-color: white; + border-color: transparent; + box-shadow: none; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-loading::after { + border-color: transparent transparent white white !important; } + html.theme--documenter-dark .button.is-black.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent white white !important; } + html.theme--documenter-dark .button.is-black.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + box-shadow: none; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-inverted.is-outlined { + background-color: transparent; + border-color: white; + color: white; } + html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined { + background-color: transparent; + border-color: white; + box-shadow: none; + color: white; } + html.theme--documenter-dark .button.is-light { + background-color: #ecf0f1; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered { + background-color: #e5eaec; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused { + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } + html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active { + background-color: #dde4e6; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .button.is-light[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-light { + background-color: #ecf0f1; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-light.is-inverted { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered { + background-color: #1d2122; } + html.theme--documenter-dark .button.is-light.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted { + background-color: #282f2f; + border-color: transparent; + box-shadow: none; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-loading::after { + border-color: transparent transparent #282f2f #282f2f !important; } + html.theme--documenter-dark .button.is-light.is-outlined { + background-color: transparent; + border-color: #ecf0f1; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused { + background-color: #ecf0f1; + border-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after { + border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } + html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #282f2f #282f2f !important; } + html.theme--documenter-dark .button.is-light.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined { + background-color: transparent; + border-color: #ecf0f1; + box-shadow: none; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-inverted.is-outlined { + background-color: transparent; + border-color: #282f2f; + color: #282f2f; } + html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } + html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined { + background-color: transparent; + border-color: #282f2f; + box-shadow: none; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button { + background-color: #282f2f; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered { + background-color: #232829; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused { + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } + html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active { + background-color: #1d2122; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-dark, + fieldset[disabled] html.theme--documenter-dark .content kbd.button { + background-color: #282f2f; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered { + background-color: #dde4e6; } + html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, + fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted { + background-color: #ecf0f1; + border-color: transparent; + box-shadow: none; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after { + border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } + html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined { + background-color: transparent; + border-color: #282f2f; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused { + background-color: #282f2f; + border-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after { + border-color: transparent transparent #282f2f #282f2f !important; } + html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } + html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, + fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined { + background-color: transparent; + border-color: #282f2f; + box-shadow: none; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined { + background-color: transparent; + border-color: #ecf0f1; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #282f2f #282f2f !important; } + html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, + fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined { + background-color: transparent; + border-color: #ecf0f1; + box-shadow: none; + color: #ecf0f1; } + html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink { + background-color: #375a7f; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink { + background-color: #335476; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) { + box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } + html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink { + background-color: #2f4d6d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-primary, + fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink { + background-color: #375a7f; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink { + background-color: #fff; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, + fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #375a7f; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink { + background-color: #375a7f; + border-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after { + border-color: transparent transparent #375a7f #375a7f !important; } + html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, + fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #375a7f; + box-shadow: none; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink { + background-color: #fff; + color: #375a7f; } + html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after { + border-color: transparent transparent #375a7f #375a7f !important; } + html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, + fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-link { + background-color: #1abc9c; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered { + background-color: #18b193; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active { + background-color: #17a689; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-link[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-link { + background-color: #1abc9c; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-link.is-inverted { + background-color: #fff; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-link.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-link.is-outlined { + background-color: transparent; + border-color: #1abc9c; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused { + background-color: #1abc9c; + border-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after { + border-color: transparent transparent #1abc9c #1abc9c !important; } + html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-link.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined { + background-color: transparent; + border-color: #1abc9c; + box-shadow: none; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #1abc9c; } + html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #1abc9c #1abc9c !important; } + html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-info { + background-color: #024c7d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered { + background-color: #024470; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } + html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active { + background-color: #023d64; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-info[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-info { + background-color: #024c7d; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-info.is-inverted { + background-color: #fff; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-info.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-info.is-outlined { + background-color: transparent; + border-color: #024c7d; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused { + background-color: #024c7d; + border-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after { + border-color: transparent transparent #024c7d #024c7d !important; } + html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-info.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined { + background-color: transparent; + border-color: #024c7d; + box-shadow: none; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #024c7d; } + html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #024c7d #024c7d !important; } + html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-success { + background-color: #008438; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered { + background-color: #007733; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } + html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active { + background-color: #006b2d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-success[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-success { + background-color: #008438; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-success.is-inverted { + background-color: #fff; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-success.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-success.is-outlined { + background-color: transparent; + border-color: #008438; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused { + background-color: #008438; + border-color: #008438; + color: #fff; } + html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after { + border-color: transparent transparent #008438 #008438 !important; } + html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-success.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined { + background-color: transparent; + border-color: #008438; + box-shadow: none; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #008438; } + html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #008438 #008438 !important; } + html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-warning { + background-color: #ad8100; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered { + background-color: #a07700; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } + html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active { + background-color: #946e00; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-warning[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-warning { + background-color: #ad8100; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-warning.is-inverted { + background-color: #fff; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-warning.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-warning.is-outlined { + background-color: transparent; + border-color: #ad8100; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused { + background-color: #ad8100; + border-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after { + border-color: transparent transparent #ad8100 #ad8100 !important; } + html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-warning.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined { + background-color: transparent; + border-color: #ad8100; + box-shadow: none; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #ad8100; } + html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #ad8100 #ad8100 !important; } + html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-danger { + background-color: #9e1b0d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered { + background-color: #92190c; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused { + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } + html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active { + background-color: #86170b; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .button.is-danger[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-danger { + background-color: #9e1b0d; + border-color: transparent; + box-shadow: none; } + html.theme--documenter-dark .button.is-danger.is-inverted { + background-color: #fff; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered { + background-color: #f2f2f2; } + html.theme--documenter-dark .button.is-danger.is-inverted[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-danger.is-outlined { + background-color: transparent; + border-color: #9e1b0d; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused { + background-color: #9e1b0d; + border-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after { + border-color: transparent transparent #9e1b0d #9e1b0d !important; } + html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + html.theme--documenter-dark .button.is-danger.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined { + background-color: transparent; + border-color: #9e1b0d; + box-shadow: none; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #9e1b0d; } + html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #9e1b0d #9e1b0d !important; } + html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], + fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button { + border-radius: 3px; + font-size: 0.85em; } + html.theme--documenter-dark .button.is-normal { + font-size: 15px; } + html.theme--documenter-dark .button.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .button.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .button[disabled], + fieldset[disabled] html.theme--documenter-dark .button { + background-color: #8c9b9d; + border-color: #dbdee0; + box-shadow: none; + opacity: 0.5; } + html.theme--documenter-dark .button.is-fullwidth { + display: flex; + width: 100%; } + html.theme--documenter-dark .button.is-loading { + color: transparent !important; + pointer-events: none; } + html.theme--documenter-dark .button.is-loading::after { + position: absolute; + left: calc(50% - (1em / 2)); + top: calc(50% - (1em / 2)); + position: absolute !important; } + html.theme--documenter-dark .button.is-static { + background-color: #282f2f; + border-color: #5e6d6f; + color: #dbdee0; + box-shadow: none; + pointer-events: none; } + html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button { + border-radius: 290486px; + padding-left: 1em; + padding-right: 1em; } + html.theme--documenter-dark .buttons { + align-items: center; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + html.theme--documenter-dark .buttons .button { + margin-bottom: 0.5rem; } + html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) { + margin-right: 0.5rem; } + html.theme--documenter-dark .buttons:last-child { + margin-bottom: -0.5rem; } + html.theme--documenter-dark .buttons:not(:last-child) { + margin-bottom: 1rem; } + html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) { + border-radius: 3px; + font-size: 0.85em; } + html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) { + font-size: 1.25rem; } + html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) { + font-size: 1.5rem; } + html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) { + border-bottom-right-radius: 0; + border-top-right-radius: 0; + margin-right: -1px; } + html.theme--documenter-dark .buttons.has-addons .button:last-child { + margin-right: 0; } + html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered { + z-index: 2; } + html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected { + z-index: 3; } + html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover { + z-index: 4; } + html.theme--documenter-dark .buttons.has-addons .button.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .buttons.is-centered { + justify-content: center; } + html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) { + margin-left: 0.25rem; + margin-right: 0.25rem; } + html.theme--documenter-dark .buttons.is-right { + justify-content: flex-end; } + html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) { + margin-left: 0.25rem; + margin-right: 0.25rem; } + html.theme--documenter-dark .container { + flex-grow: 1; + margin: 0 auto; + position: relative; + width: auto; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .container { + max-width: 992px; } + html.theme--documenter-dark .container.is-fluid { + margin-left: 32px; + margin-right: 32px; + max-width: none; } } + @media screen and (max-width: 1215px) { + html.theme--documenter-dark .container.is-widescreen { + max-width: 1152px; } } + @media screen and (max-width: 1407px) { + html.theme--documenter-dark .container.is-fullhd { + max-width: 1344px; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .container { + max-width: 1152px; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .container { + max-width: 1344px; } } + html.theme--documenter-dark .content li + li { + margin-top: 0.25em; } + html.theme--documenter-dark .content p:not(:last-child), + html.theme--documenter-dark .content dl:not(:last-child), + html.theme--documenter-dark .content ol:not(:last-child), + html.theme--documenter-dark .content ul:not(:last-child), + html.theme--documenter-dark .content blockquote:not(:last-child), + html.theme--documenter-dark .content pre:not(:last-child), + html.theme--documenter-dark .content table:not(:last-child) { + margin-bottom: 1em; } + html.theme--documenter-dark .content h1, + html.theme--documenter-dark .content h2, + html.theme--documenter-dark .content h3, + html.theme--documenter-dark .content h4, + html.theme--documenter-dark .content h5, + html.theme--documenter-dark .content h6 { + color: #f2f2f2; + font-weight: 600; + line-height: 1.125; } + html.theme--documenter-dark .content h1 { + font-size: 2em; + margin-bottom: 0.5em; } + html.theme--documenter-dark .content h1:not(:first-child) { + margin-top: 1em; } + html.theme--documenter-dark .content h2 { + font-size: 1.75em; + margin-bottom: 0.5714em; } + html.theme--documenter-dark .content h2:not(:first-child) { + margin-top: 1.1428em; } + html.theme--documenter-dark .content h3 { + font-size: 1.5em; + margin-bottom: 0.6666em; } + html.theme--documenter-dark .content h3:not(:first-child) { + margin-top: 1.3333em; } + html.theme--documenter-dark .content h4 { + font-size: 1.25em; + margin-bottom: 0.8em; } + html.theme--documenter-dark .content h5 { + font-size: 1.125em; + margin-bottom: 0.8888em; } + html.theme--documenter-dark .content h6 { + font-size: 1em; + margin-bottom: 1em; } + html.theme--documenter-dark .content blockquote { + background-color: #282f2f; + border-left: 5px solid #5e6d6f; + padding: 1.25em 1.5em; } + html.theme--documenter-dark .content ol { + list-style-position: outside; + margin-left: 2em; + margin-top: 1em; } + html.theme--documenter-dark .content ol:not([type]) { + list-style-type: decimal; } + html.theme--documenter-dark .content ol:not([type]).is-lower-alpha { + list-style-type: lower-alpha; } + html.theme--documenter-dark .content ol:not([type]).is-lower-roman { + list-style-type: lower-roman; } + html.theme--documenter-dark .content ol:not([type]).is-upper-alpha { + list-style-type: upper-alpha; } + html.theme--documenter-dark .content ol:not([type]).is-upper-roman { + list-style-type: upper-roman; } + html.theme--documenter-dark .content ul { + list-style: disc outside; + margin-left: 2em; + margin-top: 1em; } + html.theme--documenter-dark .content ul ul { + list-style-type: circle; + margin-top: 0.5em; } + html.theme--documenter-dark .content ul ul ul { + list-style-type: square; } + html.theme--documenter-dark .content dd { + margin-left: 2em; } + html.theme--documenter-dark .content figure { + margin-left: 2em; + margin-right: 2em; + text-align: center; } + html.theme--documenter-dark .content figure:not(:first-child) { + margin-top: 2em; } + html.theme--documenter-dark .content figure:not(:last-child) { + margin-bottom: 2em; } + html.theme--documenter-dark .content figure img { + display: inline-block; } + html.theme--documenter-dark .content figure figcaption { + font-style: italic; } + html.theme--documenter-dark .content pre { + -webkit-overflow-scrolling: touch; + overflow-x: auto; + padding: 0.7rem 0.5rem; + white-space: pre; + word-wrap: normal; } + html.theme--documenter-dark .content sup, + html.theme--documenter-dark .content sub { + font-size: 75%; } + html.theme--documenter-dark .content table { + width: 100%; } + html.theme--documenter-dark .content table td, + html.theme--documenter-dark .content table th { + border: 1px solid #5e6d6f; + border-width: 0 0 1px; + padding: 0.5em 0.75em; + vertical-align: top; } + html.theme--documenter-dark .content table th { + color: #f2f2f2; } + html.theme--documenter-dark .content table th:not([align]) { + text-align: left; } + html.theme--documenter-dark .content table thead td, + html.theme--documenter-dark .content table thead th { + border-width: 0 0 2px; + color: #f2f2f2; } + html.theme--documenter-dark .content table tfoot td, + html.theme--documenter-dark .content table tfoot th { + border-width: 2px 0 0; + color: #f2f2f2; } + html.theme--documenter-dark .content table tbody tr:last-child td, + html.theme--documenter-dark .content table tbody tr:last-child th { + border-bottom-width: 0; } + html.theme--documenter-dark .content .tabs li + li { + margin-top: 0; } + html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content { + font-size: 0.85em; } + html.theme--documenter-dark .content.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .content.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .icon { + align-items: center; + display: inline-flex; + justify-content: center; + height: 1.5rem; + width: 1.5rem; } + html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon { + height: 1rem; + width: 1rem; } + html.theme--documenter-dark .icon.is-medium { + height: 2rem; + width: 2rem; } + html.theme--documenter-dark .icon.is-large { + height: 3rem; + width: 3rem; } + html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img { + display: block; + position: relative; } + html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img { + display: block; + height: auto; + width: 100%; } + html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded { + border-radius: 290486px; } + html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img, + html.theme--documenter-dark .image.is-square .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img, + html.theme--documenter-dark .image.is-1by1 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img, + html.theme--documenter-dark .image.is-5by4 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img, + html.theme--documenter-dark .image.is-4by3 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img, + html.theme--documenter-dark .image.is-3by2 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img, + html.theme--documenter-dark .image.is-5by3 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img, + html.theme--documenter-dark .image.is-16by9 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img, + html.theme--documenter-dark .image.is-2by1 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img, + html.theme--documenter-dark .image.is-3by1 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img, + html.theme--documenter-dark .image.is-4by5 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img, + html.theme--documenter-dark .image.is-3by4 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img, + html.theme--documenter-dark .image.is-2by3 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img, + html.theme--documenter-dark .image.is-3by5 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img, + html.theme--documenter-dark .image.is-9by16 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img, + html.theme--documenter-dark .image.is-1by2 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img, + html.theme--documenter-dark .image.is-1by3 .has-ratio, + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio { + height: 100%; + width: 100%; } + html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 { + padding-top: 100%; } + html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 { + padding-top: 80%; } + html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 { + padding-top: 75%; } + html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 { + padding-top: 66.6666%; } + html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 { + padding-top: 60%; } + html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 { + padding-top: 56.25%; } + html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 { + padding-top: 50%; } + html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 { + padding-top: 33.3333%; } + html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 { + padding-top: 125%; } + html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 { + padding-top: 133.3333%; } + html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 { + padding-top: 150%; } + html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 { + padding-top: 166.6666%; } + html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 { + padding-top: 177.7777%; } + html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 { + padding-top: 200%; } + html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 { + padding-top: 300%; } + html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 { + height: 16px; + width: 16px; } + html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 { + height: 24px; + width: 24px; } + html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 { + height: 32px; + width: 32px; } + html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 { + height: 48px; + width: 48px; } + html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 { + height: 64px; + width: 64px; } + html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 { + height: 96px; + width: 96px; } + html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 { + height: 128px; + width: 128px; } + html.theme--documenter-dark .notification { + background-color: #282f2f; + border-radius: 0.4em; + padding: 1.25rem 2.5rem 1.25rem 1.5rem; + position: relative; } + html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) { + color: currentColor; + text-decoration: underline; } + html.theme--documenter-dark .notification strong { + color: currentColor; } + html.theme--documenter-dark .notification code, + html.theme--documenter-dark .notification pre { + background: white; } + html.theme--documenter-dark .notification pre code { + background: transparent; } + html.theme--documenter-dark .notification > .delete { + position: absolute; + right: 0.5rem; + top: 0.5rem; } + html.theme--documenter-dark .notification .title, + html.theme--documenter-dark .notification .subtitle, + html.theme--documenter-dark .notification .content { + color: currentColor; } + html.theme--documenter-dark .notification.is-white { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .notification.is-black { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .notification.is-light { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .notification.is-link { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .notification.is-info { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .notification.is-success { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .notification.is-warning { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .notification.is-danger { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .progress { + -moz-appearance: none; + -webkit-appearance: none; + border: none; + border-radius: 290486px; + display: block; + height: 15px; + overflow: hidden; + padding: 0; + width: 100%; } + html.theme--documenter-dark .progress::-webkit-progress-bar { + background-color: #5e6d6f; } + html.theme--documenter-dark .progress::-webkit-progress-value { + background-color: #dbdee0; } + html.theme--documenter-dark .progress::-moz-progress-bar { + background-color: #dbdee0; } + html.theme--documenter-dark .progress::-ms-fill { + background-color: #dbdee0; + border: none; } + html.theme--documenter-dark .progress.is-white::-webkit-progress-value { + background-color: white; } + html.theme--documenter-dark .progress.is-white::-moz-progress-bar { + background-color: white; } + html.theme--documenter-dark .progress.is-white::-ms-fill { + background-color: white; } + html.theme--documenter-dark .progress.is-white:indeterminate { + background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-black::-webkit-progress-value { + background-color: #0a0a0a; } + html.theme--documenter-dark .progress.is-black::-moz-progress-bar { + background-color: #0a0a0a; } + html.theme--documenter-dark .progress.is-black::-ms-fill { + background-color: #0a0a0a; } + html.theme--documenter-dark .progress.is-black:indeterminate { + background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-light::-webkit-progress-value { + background-color: #ecf0f1; } + html.theme--documenter-dark .progress.is-light::-moz-progress-bar { + background-color: #ecf0f1; } + html.theme--documenter-dark .progress.is-light::-ms-fill { + background-color: #ecf0f1; } + html.theme--documenter-dark .progress.is-light:indeterminate { + background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value { + background-color: #282f2f; } + html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar { + background-color: #282f2f; } + html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill { + background-color: #282f2f; } + html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate { + background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value { + background-color: #375a7f; } + html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar { + background-color: #375a7f; } + html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill { + background-color: #375a7f; } + html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate { + background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-link::-webkit-progress-value { + background-color: #1abc9c; } + html.theme--documenter-dark .progress.is-link::-moz-progress-bar { + background-color: #1abc9c; } + html.theme--documenter-dark .progress.is-link::-ms-fill { + background-color: #1abc9c; } + html.theme--documenter-dark .progress.is-link:indeterminate { + background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-info::-webkit-progress-value { + background-color: #024c7d; } + html.theme--documenter-dark .progress.is-info::-moz-progress-bar { + background-color: #024c7d; } + html.theme--documenter-dark .progress.is-info::-ms-fill { + background-color: #024c7d; } + html.theme--documenter-dark .progress.is-info:indeterminate { + background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-success::-webkit-progress-value { + background-color: #008438; } + html.theme--documenter-dark .progress.is-success::-moz-progress-bar { + background-color: #008438; } + html.theme--documenter-dark .progress.is-success::-ms-fill { + background-color: #008438; } + html.theme--documenter-dark .progress.is-success:indeterminate { + background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-warning::-webkit-progress-value { + background-color: #ad8100; } + html.theme--documenter-dark .progress.is-warning::-moz-progress-bar { + background-color: #ad8100; } + html.theme--documenter-dark .progress.is-warning::-ms-fill { + background-color: #ad8100; } + html.theme--documenter-dark .progress.is-warning:indeterminate { + background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress.is-danger::-webkit-progress-value { + background-color: #9e1b0d; } + html.theme--documenter-dark .progress.is-danger::-moz-progress-bar { + background-color: #9e1b0d; } + html.theme--documenter-dark .progress.is-danger::-ms-fill { + background-color: #9e1b0d; } + html.theme--documenter-dark .progress.is-danger:indeterminate { + background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); } + html.theme--documenter-dark .progress:indeterminate { + animation-duration: 1.5s; + animation-iteration-count: infinite; + animation-name: moveIndeterminate; + animation-timing-function: linear; + background-color: #5e6d6f; + background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%); + background-position: top left; + background-repeat: no-repeat; + background-size: 150% 150%; } + html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar { + background-color: transparent; } + html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar { + background-color: transparent; } + html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress { + height: 0.85em; } + html.theme--documenter-dark .progress.is-medium { + height: 1.25rem; } + html.theme--documenter-dark .progress.is-large { + height: 1.5rem; } + +@keyframes moveIndeterminate { + from { + background-position: 200% 0; } + to { + background-position: -200% 0; } } + html.theme--documenter-dark .table { + background-color: #343c3d; + color: #fff; } + html.theme--documenter-dark .table td, + html.theme--documenter-dark .table th { + border: 1px solid #5e6d6f; + border-width: 0 0 1px; + padding: 0.5em 0.75em; + vertical-align: top; } + html.theme--documenter-dark .table td.is-white, + html.theme--documenter-dark .table th.is-white { + background-color: white; + border-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .table td.is-black, + html.theme--documenter-dark .table th.is-black { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .table td.is-light, + html.theme--documenter-dark .table th.is-light { + background-color: #ecf0f1; + border-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .table td.is-dark, + html.theme--documenter-dark .table th.is-dark { + background-color: #282f2f; + border-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .table td.is-primary, + html.theme--documenter-dark .table th.is-primary { + background-color: #375a7f; + border-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .table td.is-link, + html.theme--documenter-dark .table th.is-link { + background-color: #1abc9c; + border-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .table td.is-info, + html.theme--documenter-dark .table th.is-info { + background-color: #024c7d; + border-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .table td.is-success, + html.theme--documenter-dark .table th.is-success { + background-color: #008438; + border-color: #008438; + color: #fff; } + html.theme--documenter-dark .table td.is-warning, + html.theme--documenter-dark .table th.is-warning { + background-color: #ad8100; + border-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .table td.is-danger, + html.theme--documenter-dark .table th.is-danger { + background-color: #9e1b0d; + border-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .table td.is-narrow, + html.theme--documenter-dark .table th.is-narrow { + white-space: nowrap; + width: 1%; } + html.theme--documenter-dark .table td.is-selected, + html.theme--documenter-dark .table th.is-selected { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .table td.is-selected a, + html.theme--documenter-dark .table td.is-selected strong, + html.theme--documenter-dark .table th.is-selected a, + html.theme--documenter-dark .table th.is-selected strong { + color: currentColor; } + html.theme--documenter-dark .table th { + color: #f2f2f2; } + html.theme--documenter-dark .table th:not([align]) { + text-align: left; } + html.theme--documenter-dark .table tr.is-selected { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .table tr.is-selected a, + html.theme--documenter-dark .table tr.is-selected strong { + color: currentColor; } + html.theme--documenter-dark .table tr.is-selected td, + html.theme--documenter-dark .table tr.is-selected th { + border-color: #fff; + color: currentColor; } + html.theme--documenter-dark .table thead { + background-color: transparent; } + html.theme--documenter-dark .table thead td, + html.theme--documenter-dark .table thead th { + border-width: 0 0 2px; + color: #f2f2f2; } + html.theme--documenter-dark .table tfoot { + background-color: transparent; } + html.theme--documenter-dark .table tfoot td, + html.theme--documenter-dark .table tfoot th { + border-width: 2px 0 0; + color: #f2f2f2; } + html.theme--documenter-dark .table tbody { + background-color: transparent; } + html.theme--documenter-dark .table tbody tr:last-child td, + html.theme--documenter-dark .table tbody tr:last-child th { + border-bottom-width: 0; } + html.theme--documenter-dark .table.is-bordered td, + html.theme--documenter-dark .table.is-bordered th { + border-width: 1px; } + html.theme--documenter-dark .table.is-bordered tr:last-child td, + html.theme--documenter-dark .table.is-bordered tr:last-child th { + border-bottom-width: 1px; } + html.theme--documenter-dark .table.is-fullwidth { + width: 100%; } + html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover { + background-color: #282f2f; } + html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover { + background-color: #282f2f; } + html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) { + background-color: #2d3435; } + html.theme--documenter-dark .table.is-narrow td, + html.theme--documenter-dark .table.is-narrow th { + padding: 0.25em 0.5em; } + html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) { + background-color: #282f2f; } + html.theme--documenter-dark .table-container { + -webkit-overflow-scrolling: touch; + overflow: auto; + overflow-y: hidden; + max-width: 100%; } + html.theme--documenter-dark .tags { + align-items: center; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd { + margin-bottom: 0.5rem; } + html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child) { + margin-right: 0.5rem; } + html.theme--documenter-dark .tags:last-child { + margin-bottom: -0.5rem; } + html.theme--documenter-dark .tags:not(:last-child) { + margin-bottom: 1rem; } + html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large) { + font-size: 15px; } + html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium) { + font-size: 1.25rem; } + html.theme--documenter-dark .tags.is-centered { + justify-content: center; } + html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd { + margin-right: 0.25rem; + margin-left: 0.25rem; } + html.theme--documenter-dark .tags.is-right { + justify-content: flex-end; } + html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child) { + margin-left: 0.5rem; } + html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child) { + margin-right: 0; } + html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd { + margin-right: 0; } + html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child) { + margin-left: 0; + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child) { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body), html.theme--documenter-dark .content kbd:not(body) { + align-items: center; + background-color: #282f2f; + border-radius: 0.4em; + color: #fff; + display: inline-flex; + font-size: 0.85em; + height: 2em; + justify-content: center; + line-height: 1.5; + padding-left: 0.75em; + padding-right: 0.75em; + white-space: nowrap; } + html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete { + margin-left: 0.25rem; + margin-right: -0.375rem; } + html.theme--documenter-dark .tag:not(body).is-white, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-white, html.theme--documenter-dark .content kbd:not(body).is-white { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .tag:not(body).is-black, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-black, html.theme--documenter-dark .content kbd:not(body).is-black { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .tag:not(body).is-light, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-light, html.theme--documenter-dark .content kbd:not(body).is-light { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .tag:not(body).is-dark, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-dark, html.theme--documenter-dark .content kbd:not(body) { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .tag:not(body).is-primary, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body), html.theme--documenter-dark .content kbd:not(body).is-primary { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .tag:not(body).is-link, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-link, html.theme--documenter-dark .content kbd:not(body).is-link { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .tag:not(body).is-info, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-info, html.theme--documenter-dark .content kbd:not(body).is-info { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .tag:not(body).is-success, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-success, html.theme--documenter-dark .content kbd:not(body).is-success { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .tag:not(body).is-warning, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-warning, html.theme--documenter-dark .content kbd:not(body).is-warning { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .tag:not(body).is-danger, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-danger, html.theme--documenter-dark .content kbd:not(body).is-danger { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .tag:not(body).is-normal, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-normal, html.theme--documenter-dark .content kbd:not(body).is-normal { + font-size: 0.85em; } + html.theme--documenter-dark .tag:not(body).is-medium, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-medium, html.theme--documenter-dark .content kbd:not(body).is-medium { + font-size: 15px; } + html.theme--documenter-dark .tag:not(body).is-large, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-large, html.theme--documenter-dark .content kbd:not(body).is-large { + font-size: 1.25rem; } + html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child) { + margin-left: -0.375em; + margin-right: 0.1875em; } + html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child) { + margin-left: 0.1875em; + margin-right: -0.375em; } + html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child { + margin-left: -0.375em; + margin-right: -0.375em; } + html.theme--documenter-dark .tag:not(body).is-delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete, html.theme--documenter-dark .content kbd:not(body).is-delete { + margin-left: 1px; + padding: 0; + position: relative; + width: 2em; } + html.theme--documenter-dark .tag:not(body).is-delete::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::before, html.theme--documenter-dark .content kbd:not(body).is-delete::before, html.theme--documenter-dark .tag:not(body).is-delete::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::after, html.theme--documenter-dark .content kbd:not(body).is-delete::after { + background-color: currentColor; + content: ""; + display: block; + left: 50%; + position: absolute; + top: 50%; + transform: translateX(-50%) translateY(-50%) rotate(45deg); + transform-origin: center center; } + html.theme--documenter-dark .tag:not(body).is-delete::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::before, html.theme--documenter-dark .content kbd:not(body).is-delete::before { + height: 1px; + width: 50%; } + html.theme--documenter-dark .tag:not(body).is-delete::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::after, html.theme--documenter-dark .content kbd:not(body).is-delete::after { + height: 50%; + width: 1px; } + html.theme--documenter-dark .tag:not(body).is-delete:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:hover, html.theme--documenter-dark .content kbd:not(body).is-delete:hover, html.theme--documenter-dark .tag:not(body).is-delete:focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:focus, html.theme--documenter-dark .content kbd:not(body).is-delete:focus { + background-color: #1d2122; } + html.theme--documenter-dark .tag:not(body).is-delete:active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:active, html.theme--documenter-dark .content kbd:not(body).is-delete:active { + background-color: #111414; } + html.theme--documenter-dark .tag:not(body).is-rounded, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-rounded, html.theme--documenter-dark .content kbd:not(body).is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tag:not(body) { + border-radius: 290486px; } + html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover { + text-decoration: underline; } + html.theme--documenter-dark .title, + html.theme--documenter-dark .subtitle { + word-break: break-word; } + html.theme--documenter-dark .title em, + html.theme--documenter-dark .title span, + html.theme--documenter-dark .subtitle em, + html.theme--documenter-dark .subtitle span { + font-weight: inherit; } + html.theme--documenter-dark .title sub, + html.theme--documenter-dark .subtitle sub { + font-size: 0.75em; } + html.theme--documenter-dark .title sup, + html.theme--documenter-dark .subtitle sup { + font-size: 0.75em; } + html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, + html.theme--documenter-dark .subtitle .tag, + html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink, + html.theme--documenter-dark .subtitle .content kbd, + html.theme--documenter-dark .content .subtitle kbd { + vertical-align: middle; } + html.theme--documenter-dark .title { + color: #fff; + font-size: 2rem; + font-weight: 500; + line-height: 1.125; } + html.theme--documenter-dark .title strong { + color: inherit; + font-weight: inherit; } + html.theme--documenter-dark .title + .highlight { + margin-top: -0.75rem; } + html.theme--documenter-dark .title:not(.is-spaced) + .subtitle { + margin-top: -1.25rem; } + html.theme--documenter-dark .title.is-1 { + font-size: 3rem; } + html.theme--documenter-dark .title.is-2 { + font-size: 2.5rem; } + html.theme--documenter-dark .title.is-3 { + font-size: 2rem; } + html.theme--documenter-dark .title.is-4 { + font-size: 1.5rem; } + html.theme--documenter-dark .title.is-5 { + font-size: 1.25rem; } + html.theme--documenter-dark .title.is-6 { + font-size: 15px; } + html.theme--documenter-dark .title.is-7 { + font-size: 0.85em; } + html.theme--documenter-dark .subtitle { + color: #8c9b9d; + font-size: 1.25rem; + font-weight: 400; + line-height: 1.25; } + html.theme--documenter-dark .subtitle strong { + color: #8c9b9d; + font-weight: 600; } + html.theme--documenter-dark .subtitle:not(.is-spaced) + .title { + margin-top: -1.25rem; } + html.theme--documenter-dark .subtitle.is-1 { + font-size: 3rem; } + html.theme--documenter-dark .subtitle.is-2 { + font-size: 2.5rem; } + html.theme--documenter-dark .subtitle.is-3 { + font-size: 2rem; } + html.theme--documenter-dark .subtitle.is-4 { + font-size: 1.5rem; } + html.theme--documenter-dark .subtitle.is-5 { + font-size: 1.25rem; } + html.theme--documenter-dark .subtitle.is-6 { + font-size: 15px; } + html.theme--documenter-dark .subtitle.is-7 { + font-size: 0.85em; } + html.theme--documenter-dark .heading { + display: block; + font-size: 11px; + letter-spacing: 1px; + margin-bottom: 5px; + text-transform: uppercase; } + html.theme--documenter-dark .highlight { + font-weight: 400; + max-width: 100%; + overflow: hidden; + padding: 0; } + html.theme--documenter-dark .highlight pre { + overflow: auto; + max-width: 100%; } + html.theme--documenter-dark .number { + align-items: center; + background-color: #282f2f; + border-radius: 290486px; + display: inline-flex; + font-size: 1.25rem; + height: 2em; + justify-content: center; + margin-right: 1.5rem; + min-width: 2.5em; + padding: 0.25rem 0.5rem; + text-align: center; + vertical-align: top; } + html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .textarea, html.theme--documenter-dark .select select { + background-color: #1f2424; + border-color: #5e6d6f; + border-radius: 0.4em; + color: #dbdee0; } + html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .select select::-moz-placeholder { + color: rgba(219, 222, 224, 0.3); } + html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .select select::-webkit-input-placeholder { + color: rgba(219, 222, 224, 0.3); } + html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .select select:-moz-placeholder { + color: rgba(219, 222, 224, 0.3); } + html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .select select:-ms-input-placeholder { + color: rgba(219, 222, 224, 0.3); } + html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .select select.is-hovered { + border-color: #8c9b9d; } + html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .select select.is-active { + border-color: #1abc9c; + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .select select[disabled], + fieldset[disabled] html.theme--documenter-dark .input, + fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, + fieldset[disabled] html.theme--documenter-dark .textarea, + fieldset[disabled] html.theme--documenter-dark .select select { + background-color: #8c9b9d; + border-color: #282f2f; + box-shadow: none; + color: white; } + html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .select select[disabled]::-moz-placeholder, + fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, + fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, + fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, + fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder { + color: rgba(255, 255, 255, 0.3); } + html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, + fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, + fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, + fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, + fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder { + color: rgba(255, 255, 255, 0.3); } + html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .select select[disabled]:-moz-placeholder, + fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, + fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, + fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, + fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder { + color: rgba(255, 255, 255, 0.3); } + html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, + fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, + fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, + fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, + fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder { + color: rgba(255, 255, 255, 0.3); } + html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .textarea { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1); + max-width: 100%; + width: 100%; } + html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly], html.theme--documenter-dark .textarea[readonly] { + box-shadow: none; } + html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white, html.theme--documenter-dark .is-white.textarea { + border-color: white; } + html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white.is-focused, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white.is-active, html.theme--documenter-dark .is-white.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black, html.theme--documenter-dark .is-black.textarea { + border-color: #0a0a0a; } + html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black.is-focused, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black.is-active, html.theme--documenter-dark .is-black.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light, html.theme--documenter-dark .is-light.textarea { + border-color: #ecf0f1; } + html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light.is-focused, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light.is-active, html.theme--documenter-dark .is-light.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } + html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark .content kbd.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea { + border-color: #282f2f; } + html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark.is-focused, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark.is-active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } + html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink { + border-color: #375a7f; } + html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary.is-focused, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary.is-active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink { + box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } + html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link, html.theme--documenter-dark .is-link.textarea { + border-color: #1abc9c; } + html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link.is-focused, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link.is-active, html.theme--documenter-dark .is-link.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info, html.theme--documenter-dark .is-info.textarea { + border-color: #024c7d; } + html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info.is-focused, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info.is-active, html.theme--documenter-dark .is-info.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } + html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success, html.theme--documenter-dark .is-success.textarea { + border-color: #008438; } + html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success.is-focused, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success.is-active, html.theme--documenter-dark .is-success.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } + html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning, html.theme--documenter-dark .is-warning.textarea { + border-color: #ad8100; } + html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning.is-focused, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning.is-active, html.theme--documenter-dark .is-warning.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } + html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger, html.theme--documenter-dark .is-danger.textarea { + border-color: #9e1b0d; } + html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger.is-focused, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger.is-active, html.theme--documenter-dark .is-danger.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } + html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .is-small.textarea { + border-radius: 3px; + font-size: 0.85em; } + html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium, html.theme--documenter-dark .is-medium.textarea { + font-size: 1.25rem; } + html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large, html.theme--documenter-dark .is-large.textarea { + font-size: 1.5rem; } + html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth, html.theme--documenter-dark .is-fullwidth.textarea { + display: block; + width: 100%; } + html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline, html.theme--documenter-dark .is-inline.textarea { + display: inline; + width: auto; } + html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { + border-radius: 290486px; + padding-left: 1em; + padding-right: 1em; } + html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static { + background-color: transparent; + border-color: transparent; + box-shadow: none; + padding-left: 0; + padding-right: 0; } + html.theme--documenter-dark .textarea { + display: block; + max-width: 100%; + min-width: 100%; + padding: 0.625em; + resize: vertical; } + html.theme--documenter-dark .textarea:not([rows]) { + max-height: 600px; + min-height: 120px; } + html.theme--documenter-dark .textarea[rows] { + height: initial; } + html.theme--documenter-dark .textarea.has-fixed-size { + resize: none; } + html.theme--documenter-dark .checkbox, html.theme--documenter-dark .radio { + cursor: pointer; + display: inline-block; + line-height: 1.25; + position: relative; } + html.theme--documenter-dark .checkbox input, html.theme--documenter-dark .radio input { + cursor: pointer; } + html.theme--documenter-dark .checkbox:hover, html.theme--documenter-dark .radio:hover { + color: #8c9b9d; } + html.theme--documenter-dark .checkbox[disabled], html.theme--documenter-dark .radio[disabled], + fieldset[disabled] html.theme--documenter-dark .checkbox, + fieldset[disabled] html.theme--documenter-dark .radio { + color: white; + cursor: not-allowed; } + html.theme--documenter-dark .radio + .radio { + margin-left: 0.5em; } + html.theme--documenter-dark .select { + display: inline-block; + max-width: 100%; + position: relative; + vertical-align: top; } + html.theme--documenter-dark .select:not(.is-multiple) { + height: 2.25em; } + html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after { + border-color: #1abc9c; + right: 1.125em; + z-index: 4; } + html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select { + border-radius: 290486px; + padding-left: 1em; } + html.theme--documenter-dark .select select { + cursor: pointer; + display: block; + font-size: 1em; + max-width: 100%; + outline: none; } + html.theme--documenter-dark .select select::-ms-expand { + display: none; } + html.theme--documenter-dark .select select[disabled]:hover, + fieldset[disabled] html.theme--documenter-dark .select select:hover { + border-color: #282f2f; } + html.theme--documenter-dark .select select:not([multiple]) { + padding-right: 2.5em; } + html.theme--documenter-dark .select select[multiple] { + height: auto; + padding: 0; } + html.theme--documenter-dark .select select[multiple] option { + padding: 0.5em 1em; } + html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after { + border-color: #8c9b9d; } + html.theme--documenter-dark .select.is-white:not(:hover)::after { + border-color: white; } + html.theme--documenter-dark .select.is-white select { + border-color: white; } + html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered { + border-color: #f2f2f2; } + html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + html.theme--documenter-dark .select.is-black:not(:hover)::after { + border-color: #0a0a0a; } + html.theme--documenter-dark .select.is-black select { + border-color: #0a0a0a; } + html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered { + border-color: black; } + html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + html.theme--documenter-dark .select.is-light:not(:hover)::after { + border-color: #ecf0f1; } + html.theme--documenter-dark .select.is-light select { + border-color: #ecf0f1; } + html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered { + border-color: #dde4e6; } + html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active { + box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } + html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after { + border-color: #282f2f; } + html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select { + border-color: #282f2f; } + html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered { + border-color: #1d2122; } + html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active { + box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } + html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after { + border-color: #375a7f; } + html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select { + border-color: #375a7f; } + html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered { + border-color: #2f4d6d; } + html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active { + box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } + html.theme--documenter-dark .select.is-link:not(:hover)::after { + border-color: #1abc9c; } + html.theme--documenter-dark .select.is-link select { + border-color: #1abc9c; } + html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered { + border-color: #17a689; } + html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active { + box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } + html.theme--documenter-dark .select.is-info:not(:hover)::after { + border-color: #024c7d; } + html.theme--documenter-dark .select.is-info select { + border-color: #024c7d; } + html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered { + border-color: #023d64; } + html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active { + box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } + html.theme--documenter-dark .select.is-success:not(:hover)::after { + border-color: #008438; } + html.theme--documenter-dark .select.is-success select { + border-color: #008438; } + html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered { + border-color: #006b2d; } + html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active { + box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } + html.theme--documenter-dark .select.is-warning:not(:hover)::after { + border-color: #ad8100; } + html.theme--documenter-dark .select.is-warning select { + border-color: #ad8100; } + html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered { + border-color: #946e00; } + html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active { + box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } + html.theme--documenter-dark .select.is-danger:not(:hover)::after { + border-color: #9e1b0d; } + html.theme--documenter-dark .select.is-danger select { + border-color: #9e1b0d; } + html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered { + border-color: #86170b; } + html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active { + box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } + html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select { + border-radius: 3px; + font-size: 0.85em; } + html.theme--documenter-dark .select.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .select.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .select.is-disabled::after { + border-color: white; } + html.theme--documenter-dark .select.is-fullwidth { + width: 100%; } + html.theme--documenter-dark .select.is-fullwidth select { + width: 100%; } + html.theme--documenter-dark .select.is-loading::after { + margin-top: 0; + position: absolute; + right: 0.625em; + top: 0.625em; + transform: none; } + html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select.is-loading:after { + font-size: 0.85em; } + html.theme--documenter-dark .select.is-loading.is-medium:after { + font-size: 1.25rem; } + html.theme--documenter-dark .select.is-loading.is-large:after { + font-size: 1.5rem; } + html.theme--documenter-dark .file { + align-items: stretch; + display: flex; + justify-content: flex-start; + position: relative; } + html.theme--documenter-dark .file.is-white .file-cta { + background-color: white; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta { + background-color: #f9f9f9; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25); + color: #0a0a0a; } + html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta { + background-color: #f2f2f2; + border-color: transparent; + color: #0a0a0a; } + html.theme--documenter-dark .file.is-black .file-cta { + background-color: #0a0a0a; + border-color: transparent; + color: white; } + html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta { + background-color: #040404; + border-color: transparent; + color: white; } + html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25); + color: white; } + html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta { + background-color: black; + border-color: transparent; + color: white; } + html.theme--documenter-dark .file.is-light .file-cta { + background-color: #ecf0f1; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta { + background-color: #e5eaec; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25); + color: #282f2f; } + html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta { + background-color: #dde4e6; + border-color: transparent; + color: #282f2f; } + html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta { + background-color: #282f2f; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta { + background-color: #232829; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25); + color: #ecf0f1; } + html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta { + background-color: #1d2122; + border-color: transparent; + color: #ecf0f1; } + html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta { + background-color: #375a7f; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta { + background-color: #335476; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta { + background-color: #2f4d6d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-link .file-cta { + background-color: #1abc9c; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta { + background-color: #18b193; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta { + background-color: #17a689; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-info .file-cta { + background-color: #024c7d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta { + background-color: #024470; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta { + background-color: #023d64; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-success .file-cta { + background-color: #008438; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta { + background-color: #007733; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta { + background-color: #006b2d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-warning .file-cta { + background-color: #ad8100; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta { + background-color: #a07700; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta { + background-color: #946e00; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-danger .file-cta { + background-color: #9e1b0d; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta { + background-color: #92190c; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25); + color: #fff; } + html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta { + background-color: #86170b; + border-color: transparent; + color: #fff; } + html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file { + font-size: 0.85em; } + html.theme--documenter-dark .file.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .file.is-medium .file-icon .fa { + font-size: 21px; } + html.theme--documenter-dark .file.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .file.is-large .file-icon .fa { + font-size: 28px; } + html.theme--documenter-dark .file.has-name .file-cta { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + html.theme--documenter-dark .file.has-name .file-name { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + html.theme--documenter-dark .file.has-name.is-empty .file-cta { + border-radius: 0.4em; } + html.theme--documenter-dark .file.has-name.is-empty .file-name { + display: none; } + html.theme--documenter-dark .file.is-boxed .file-label { + flex-direction: column; } + html.theme--documenter-dark .file.is-boxed .file-cta { + flex-direction: column; + height: auto; + padding: 1em 3em; } + html.theme--documenter-dark .file.is-boxed .file-name { + border-width: 0 1px 1px; } + html.theme--documenter-dark .file.is-boxed .file-icon { + height: 1.5em; + width: 1.5em; } + html.theme--documenter-dark .file.is-boxed .file-icon .fa { + font-size: 21px; } + html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file.is-boxed .file-icon .fa { + font-size: 14px; } + html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa { + font-size: 28px; } + html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa { + font-size: 35px; } + html.theme--documenter-dark .file.is-boxed.has-name .file-cta { + border-radius: 0.4em 0.4em 0 0; } + html.theme--documenter-dark .file.is-boxed.has-name .file-name { + border-radius: 0 0 0.4em 0.4em; + border-width: 0 1px 1px; } + html.theme--documenter-dark .file.is-centered { + justify-content: center; } + html.theme--documenter-dark .file.is-fullwidth .file-label { + width: 100%; } + html.theme--documenter-dark .file.is-fullwidth .file-name { + flex-grow: 1; + max-width: none; } + html.theme--documenter-dark .file.is-right { + justify-content: flex-end; } + html.theme--documenter-dark .file.is-right .file-cta { + border-radius: 0 0.4em 0.4em 0; } + html.theme--documenter-dark .file.is-right .file-name { + border-radius: 0.4em 0 0 0.4em; + border-width: 1px 0 1px 1px; + order: -1; } + html.theme--documenter-dark .file-label { + align-items: stretch; + display: flex; + cursor: pointer; + justify-content: flex-start; + overflow: hidden; + position: relative; } + html.theme--documenter-dark .file-label:hover .file-cta { + background-color: #e5eaec; + color: #282f2f; } + html.theme--documenter-dark .file-label:hover .file-name { + border-color: #596668; } + html.theme--documenter-dark .file-label:active .file-cta { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .file-label:active .file-name { + border-color: #535f61; } + html.theme--documenter-dark .file-input { + height: 100%; + left: 0; + opacity: 0; + outline: none; + position: absolute; + top: 0; + width: 100%; } + html.theme--documenter-dark .file-cta, + html.theme--documenter-dark .file-name { + border-color: #5e6d6f; + border-radius: 0.4em; + font-size: 1em; + padding-left: 1em; + padding-right: 1em; + white-space: nowrap; } + html.theme--documenter-dark .file-cta { + background-color: #ecf0f1; + color: #343c3d; } + html.theme--documenter-dark .file-name { + border-color: #5e6d6f; + border-style: solid; + border-width: 1px 1px 1px 0; + display: block; + max-width: 16em; + overflow: hidden; + text-align: left; + text-overflow: ellipsis; } + html.theme--documenter-dark .file-icon { + align-items: center; + display: flex; + height: 1em; + justify-content: center; + margin-right: 0.5em; + width: 1em; } + html.theme--documenter-dark .file-icon .fa { + font-size: 14px; } + html.theme--documenter-dark .label { + color: #282f2f; + display: block; + font-size: 15px; + font-weight: 700; } + html.theme--documenter-dark .label:not(:last-child) { + margin-bottom: 0.5em; } + html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label { + font-size: 0.85em; } + html.theme--documenter-dark .label.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .label.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .help { + display: block; + font-size: 0.85em; + margin-top: 0.25rem; } + html.theme--documenter-dark .help.is-white { + color: white; } + html.theme--documenter-dark .help.is-black { + color: #0a0a0a; } + html.theme--documenter-dark .help.is-light { + color: #ecf0f1; } + html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help { + color: #282f2f; } + html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink { + color: #375a7f; } + html.theme--documenter-dark .help.is-link { + color: #1abc9c; } + html.theme--documenter-dark .help.is-info { + color: #024c7d; } + html.theme--documenter-dark .help.is-success { + color: #008438; } + html.theme--documenter-dark .help.is-warning { + color: #ad8100; } + html.theme--documenter-dark .help.is-danger { + color: #9e1b0d; } + html.theme--documenter-dark .field:not(:last-child) { + margin-bottom: 0.75rem; } + html.theme--documenter-dark .field.has-addons { + display: flex; + justify-content: flex-start; } + html.theme--documenter-dark .field.has-addons .control:not(:last-child) { + margin-right: -1px; } + html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button, + html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input, + html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input, + html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select { + border-radius: 0; } + html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button, + html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input, + html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input, + html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button, + html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input, + html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input, + html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-hovered, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-hovered, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-hovered, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-hovered, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-hovered { + z-index: 2; } + html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-focused, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-active, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-focused, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-active, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-focused, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-active { + z-index: 3; } + html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-focused:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-active:hover, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-focused:hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused:hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused:hover, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover, + html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-active:hover, + html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active:hover, + html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active:hover, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-focused:hover, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover, + html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-active:hover { + z-index: 4; } + html.theme--documenter-dark .field.has-addons .control.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .field.has-addons.has-addons-centered { + justify-content: center; } + html.theme--documenter-dark .field.has-addons.has-addons-right { + justify-content: flex-end; } + html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control { + flex-grow: 1; + flex-shrink: 0; } + html.theme--documenter-dark .field.is-grouped { + display: flex; + justify-content: flex-start; } + html.theme--documenter-dark .field.is-grouped > .control { + flex-shrink: 0; } + html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) { + margin-bottom: 0; + margin-right: 0.75rem; } + html.theme--documenter-dark .field.is-grouped > .control.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .field.is-grouped.is-grouped-centered { + justify-content: center; } + html.theme--documenter-dark .field.is-grouped.is-grouped-right { + justify-content: flex-end; } + html.theme--documenter-dark .field.is-grouped.is-grouped-multiline { + flex-wrap: wrap; } + html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) { + margin-bottom: 0.75rem; } + html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child { + margin-bottom: -0.75rem; } + html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) { + margin-bottom: 0; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .field.is-horizontal { + display: flex; } } + html.theme--documenter-dark .field-label .label { + font-size: inherit; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .field-label { + margin-bottom: 0.5rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .field-label { + flex-basis: 0; + flex-grow: 1; + flex-shrink: 0; + margin-right: 1.5rem; + text-align: right; } + html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label { + font-size: 0.85em; + padding-top: 0.375em; } + html.theme--documenter-dark .field-label.is-normal { + padding-top: 0.375em; } + html.theme--documenter-dark .field-label.is-medium { + font-size: 1.25rem; + padding-top: 0.375em; } + html.theme--documenter-dark .field-label.is-large { + font-size: 1.5rem; + padding-top: 0.375em; } } + html.theme--documenter-dark .field-body .field .field { + margin-bottom: 0; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .field-body { + display: flex; + flex-basis: 0; + flex-grow: 5; + flex-shrink: 1; } + html.theme--documenter-dark .field-body .field { + margin-bottom: 0; } + html.theme--documenter-dark .field-body > .field { + flex-shrink: 1; } + html.theme--documenter-dark .field-body > .field:not(.is-narrow) { + flex-grow: 1; } + html.theme--documenter-dark .field-body > .field:not(:last-child) { + margin-right: 0.75rem; } } + html.theme--documenter-dark .control { + box-sizing: border-box; + clear: both; + font-size: 15px; + position: relative; + text-align: left; } + html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon, + html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon, + html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon { + color: #5e6d6f; } + html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon, + html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, + html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.select ~ .icon, + html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.select ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon, + html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon, + html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.select ~ .icon, + html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.select ~ .icon { + font-size: 0.85em; } + html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon, + html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon, + html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon { + font-size: 1.25rem; } + html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon, + html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon, + html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon { + font-size: 1.5rem; } + html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon { + color: #dbdee0; + height: 2.25em; + pointer-events: none; + position: absolute; + top: 0; + width: 2.25em; + z-index: 4; } + html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input, + html.theme--documenter-dark .control.has-icons-left .select select { + padding-left: 2.25em; } + html.theme--documenter-dark .control.has-icons-left .icon.is-left { + left: 0; } + html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input, + html.theme--documenter-dark .control.has-icons-right .select select { + padding-right: 2.25em; } + html.theme--documenter-dark .control.has-icons-right .icon.is-right { + right: 0; } + html.theme--documenter-dark .control.is-loading::after { + position: absolute !important; + right: 0.625em; + top: 0.625em; + z-index: 4; } + html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.control.is-loading:after { + font-size: 0.85em; } + html.theme--documenter-dark .control.is-loading.is-medium:after { + font-size: 1.25rem; } + html.theme--documenter-dark .control.is-loading.is-large:after { + font-size: 1.5rem; } + html.theme--documenter-dark .breadcrumb { + font-size: 15px; + white-space: nowrap; } + html.theme--documenter-dark .breadcrumb a { + align-items: center; + color: #1abc9c; + display: flex; + justify-content: center; + padding: 0 0.75em; } + html.theme--documenter-dark .breadcrumb a:hover { + color: #1dd2af; } + html.theme--documenter-dark .breadcrumb li { + align-items: center; + display: flex; } + html.theme--documenter-dark .breadcrumb li:first-child a { + padding-left: 0; } + html.theme--documenter-dark .breadcrumb li.is-active a { + color: #f2f2f2; + cursor: default; + pointer-events: none; } + html.theme--documenter-dark .breadcrumb li + li::before { + color: #8c9b9d; + content: "\0002f"; } + html.theme--documenter-dark .breadcrumb ul, + html.theme--documenter-dark .breadcrumb ol { + align-items: flex-start; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + html.theme--documenter-dark .breadcrumb .icon:first-child { + margin-right: 0.5em; } + html.theme--documenter-dark .breadcrumb .icon:last-child { + margin-left: 0.5em; } + html.theme--documenter-dark .breadcrumb.is-centered ol, + html.theme--documenter-dark .breadcrumb.is-centered ul { + justify-content: center; } + html.theme--documenter-dark .breadcrumb.is-right ol, + html.theme--documenter-dark .breadcrumb.is-right ul { + justify-content: flex-end; } + html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb { + font-size: 0.85em; } + html.theme--documenter-dark .breadcrumb.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .breadcrumb.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before { + content: "\02192"; } + html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before { + content: "\02022"; } + html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before { + content: "\000b7"; } + html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before { + content: "\0227B"; } + html.theme--documenter-dark .card { + background-color: white; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + color: #fff; + max-width: 100%; + position: relative; } + html.theme--documenter-dark .card-header { + background-color: transparent; + align-items: stretch; + box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); + display: flex; } + html.theme--documenter-dark .card-header-title { + align-items: center; + color: #f2f2f2; + display: flex; + flex-grow: 1; + font-weight: 700; + padding: 0.75rem; } + html.theme--documenter-dark .card-header-title.is-centered { + justify-content: center; } + html.theme--documenter-dark .card-header-icon { + align-items: center; + cursor: pointer; + display: flex; + justify-content: center; + padding: 0.75rem; } + html.theme--documenter-dark .card-image { + display: block; + position: relative; } + html.theme--documenter-dark .card-content { + background-color: transparent; + padding: 1rem 1.25rem; } + html.theme--documenter-dark .card-footer { + background-color: transparent; + border-top: 1px solid #5e6d6f; + align-items: stretch; + display: flex; } + html.theme--documenter-dark .card-footer-item { + align-items: center; + display: flex; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 0; + justify-content: center; + padding: 0.75rem; } + html.theme--documenter-dark .card-footer-item:not(:last-child) { + border-right: 1px solid #5e6d6f; } + html.theme--documenter-dark .card .media:not(:last-child) { + margin-bottom: 1.5rem; } + html.theme--documenter-dark .dropdown { + display: inline-flex; + position: relative; + vertical-align: top; } + html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu { + display: block; } + html.theme--documenter-dark .dropdown.is-right .dropdown-menu { + left: auto; + right: 0; } + html.theme--documenter-dark .dropdown.is-up .dropdown-menu { + bottom: 100%; + padding-bottom: 4px; + padding-top: initial; + top: auto; } + html.theme--documenter-dark .dropdown-menu { + display: none; + left: 0; + min-width: 12rem; + padding-top: 4px; + position: absolute; + top: 100%; + z-index: 20; } + html.theme--documenter-dark .dropdown-content { + background-color: #282f2f; + border-radius: 0.4em; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + padding-bottom: 0.5rem; + padding-top: 0.5rem; } + html.theme--documenter-dark .dropdown-item { + color: #fff; + display: block; + font-size: 0.875rem; + line-height: 1.5; + padding: 0.375rem 1rem; + position: relative; } + html.theme--documenter-dark a.dropdown-item, + html.theme--documenter-dark button.dropdown-item { + padding-right: 3rem; + text-align: left; + white-space: nowrap; + width: 100%; } + html.theme--documenter-dark a.dropdown-item:hover, + html.theme--documenter-dark button.dropdown-item:hover { + background-color: #282f2f; + color: #0a0a0a; } + html.theme--documenter-dark a.dropdown-item.is-active, + html.theme--documenter-dark button.dropdown-item.is-active { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .dropdown-divider { + background-color: #5e6d6f; + border: none; + display: block; + height: 1px; + margin: 0.5rem 0; } + html.theme--documenter-dark .level { + align-items: center; + justify-content: space-between; } + html.theme--documenter-dark .level code { + border-radius: 0.4em; } + html.theme--documenter-dark .level img { + display: inline-block; + vertical-align: top; } + html.theme--documenter-dark .level.is-mobile { + display: flex; } + html.theme--documenter-dark .level.is-mobile .level-left, + html.theme--documenter-dark .level.is-mobile .level-right { + display: flex; } + html.theme--documenter-dark .level.is-mobile .level-left + .level-right { + margin-top: 0; } + html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) { + margin-bottom: 0; + margin-right: 0.75rem; } + html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) { + flex-grow: 1; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .level { + display: flex; } + html.theme--documenter-dark .level > .level-item:not(.is-narrow) { + flex-grow: 1; } } + html.theme--documenter-dark .level-item { + align-items: center; + display: flex; + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; + justify-content: center; } + html.theme--documenter-dark .level-item .title, + html.theme--documenter-dark .level-item .subtitle { + margin-bottom: 0; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .level-item:not(:last-child) { + margin-bottom: 0.75rem; } } + html.theme--documenter-dark .level-left, + html.theme--documenter-dark .level-right { + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; } + html.theme--documenter-dark .level-left .level-item.is-flexible, + html.theme--documenter-dark .level-right .level-item.is-flexible { + flex-grow: 1; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .level-left .level-item:not(:last-child), + html.theme--documenter-dark .level-right .level-item:not(:last-child) { + margin-right: 0.75rem; } } + html.theme--documenter-dark .level-left { + align-items: center; + justify-content: flex-start; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .level-left + .level-right { + margin-top: 1.5rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .level-left { + display: flex; } } + html.theme--documenter-dark .level-right { + align-items: center; + justify-content: flex-end; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .level-right { + display: flex; } } + html.theme--documenter-dark .list { + background-color: white; + border-radius: 0.4em; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .list-item { + display: block; + padding: 0.5em 1em; } + html.theme--documenter-dark .list-item:not(a) { + color: #fff; } + html.theme--documenter-dark .list-item:first-child { + border-top-left-radius: 0.4em; + border-top-right-radius: 0.4em; } + html.theme--documenter-dark .list-item:last-child { + border-bottom-left-radius: 0.4em; + border-bottom-right-radius: 0.4em; } + html.theme--documenter-dark .list-item:not(:last-child) { + border-bottom: 1px solid #5e6d6f; } + html.theme--documenter-dark .list-item.is-active { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark a.list-item { + background-color: #282f2f; + cursor: pointer; } + html.theme--documenter-dark .media { + align-items: flex-start; + display: flex; + text-align: left; } + html.theme--documenter-dark .media .content:not(:last-child) { + margin-bottom: 0.75rem; } + html.theme--documenter-dark .media .media { + border-top: 1px solid rgba(94, 109, 111, 0.5); + display: flex; + padding-top: 0.75rem; } + html.theme--documenter-dark .media .media .content:not(:last-child), + html.theme--documenter-dark .media .media .control:not(:last-child) { + margin-bottom: 0.5rem; } + html.theme--documenter-dark .media .media .media { + padding-top: 0.5rem; } + html.theme--documenter-dark .media .media .media + .media { + margin-top: 0.5rem; } + html.theme--documenter-dark .media + .media { + border-top: 1px solid rgba(94, 109, 111, 0.5); + margin-top: 1rem; + padding-top: 1rem; } + html.theme--documenter-dark .media.is-large + .media { + margin-top: 1.5rem; + padding-top: 1.5rem; } + html.theme--documenter-dark .media-left, + html.theme--documenter-dark .media-right { + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; } + html.theme--documenter-dark .media-left { + margin-right: 1rem; } + html.theme--documenter-dark .media-right { + margin-left: 1rem; } + html.theme--documenter-dark .media-content { + flex-basis: auto; + flex-grow: 1; + flex-shrink: 1; + text-align: left; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .media-content { + overflow-x: auto; } } + html.theme--documenter-dark .menu { + font-size: 15px; } + html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu { + font-size: 0.85em; } + html.theme--documenter-dark .menu.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .menu.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .menu-list { + line-height: 1.25; } + html.theme--documenter-dark .menu-list a { + border-radius: 3px; + color: #fff; + display: block; + padding: 0.5em 0.75em; } + html.theme--documenter-dark .menu-list a:hover { + background-color: #282f2f; + color: #f2f2f2; } + html.theme--documenter-dark .menu-list a.is-active { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .menu-list li ul { + border-left: 1px solid #5e6d6f; + margin: 0.75em; + padding-left: 0.75em; } + html.theme--documenter-dark .menu-label { + color: white; + font-size: 0.75em; + letter-spacing: 0.1em; + text-transform: uppercase; } + html.theme--documenter-dark .menu-label:not(:first-child) { + margin-top: 1em; } + html.theme--documenter-dark .menu-label:not(:last-child) { + margin-bottom: 1em; } + html.theme--documenter-dark .message { + background-color: #282f2f; + border-radius: 0.4em; + font-size: 15px; } + html.theme--documenter-dark .message strong { + color: currentColor; } + html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) { + color: currentColor; + text-decoration: underline; } + html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message { + font-size: 0.85em; } + html.theme--documenter-dark .message.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .message.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .message.is-white { + background-color: white; } + html.theme--documenter-dark .message.is-white .message-header { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .message.is-white .message-body { + border-color: white; + color: #4d4d4d; } + html.theme--documenter-dark .message.is-black { + background-color: #fafafa; } + html.theme--documenter-dark .message.is-black .message-header { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .message.is-black .message-body { + border-color: #0a0a0a; + color: #090909; } + html.theme--documenter-dark .message.is-light { + background-color: #f9fafb; } + html.theme--documenter-dark .message.is-light .message-header { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .message.is-light .message-body { + border-color: #ecf0f1; + color: #505050; } + html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message { + background-color: #f9fafa; } + html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body { + border-color: #282f2f; + color: #212526; } + html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink { + background-color: #f8fafc; } + html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body { + border-color: #375a7f; + color: #2b4159; } + html.theme--documenter-dark .message.is-link { + background-color: #f6fefc; } + html.theme--documenter-dark .message.is-link .message-header { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .message.is-link .message-body { + border-color: #1abc9c; + color: #0b2f28; } + html.theme--documenter-dark .message.is-info { + background-color: #f5fbff; } + html.theme--documenter-dark .message.is-info .message-header { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .message.is-info .message-body { + border-color: #024c7d; + color: #033659; } + html.theme--documenter-dark .message.is-success { + background-color: #f5fff9; } + html.theme--documenter-dark .message.is-success .message-header { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .message.is-success .message-body { + border-color: #008438; + color: #023518; } + html.theme--documenter-dark .message.is-warning { + background-color: #fffcf5; } + html.theme--documenter-dark .message.is-warning .message-header { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .message.is-warning .message-body { + border-color: #ad8100; + color: #3d2e03; } + html.theme--documenter-dark .message.is-danger { + background-color: #fef6f6; } + html.theme--documenter-dark .message.is-danger .message-header { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .message.is-danger .message-body { + border-color: #9e1b0d; + color: #7a170c; } + html.theme--documenter-dark .message-header { + align-items: center; + background-color: #fff; + border-radius: 0.4em 0.4em 0 0; + color: rgba(0, 0, 0, 0.7); + display: flex; + font-weight: 700; + justify-content: space-between; + line-height: 1.25; + padding: 0.75em; + position: relative; } + html.theme--documenter-dark .message-header .delete { + flex-grow: 0; + flex-shrink: 0; + margin-left: 0.75em; } + html.theme--documenter-dark .message-header + .message-body { + border-width: 0; + border-top-left-radius: 0; + border-top-right-radius: 0; } + html.theme--documenter-dark .message-body { + border-color: #5e6d6f; + border-radius: 0.4em; + border-style: solid; + border-width: 0 0 0 4px; + color: #fff; + padding: 1em 1.25em; } + html.theme--documenter-dark .message-body code, + html.theme--documenter-dark .message-body pre { + background-color: white; } + html.theme--documenter-dark .message-body pre code { + background-color: transparent; } + html.theme--documenter-dark .modal { + align-items: center; + display: none; + flex-direction: column; + justify-content: center; + overflow: hidden; + position: fixed; + z-index: 40; } + html.theme--documenter-dark .modal.is-active { + display: flex; } + html.theme--documenter-dark .modal-background { + background-color: rgba(10, 10, 10, 0.86); } + html.theme--documenter-dark .modal-content, + html.theme--documenter-dark .modal-card { + margin: 0 20px; + max-height: calc(100vh - 160px); + overflow: auto; + position: relative; + width: 100%; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .modal-content, + html.theme--documenter-dark .modal-card { + margin: 0 auto; + max-height: calc(100vh - 40px); + width: 640px; } } + html.theme--documenter-dark .modal-close { + background: none; + height: 40px; + position: fixed; + right: 20px; + top: 20px; + width: 40px; } + html.theme--documenter-dark .modal-card { + display: flex; + flex-direction: column; + max-height: calc(100vh - 40px); + overflow: hidden; + -ms-overflow-y: visible; } + html.theme--documenter-dark .modal-card-head, + html.theme--documenter-dark .modal-card-foot { + align-items: center; + background-color: #282f2f; + display: flex; + flex-shrink: 0; + justify-content: flex-start; + padding: 20px; + position: relative; } + html.theme--documenter-dark .modal-card-head { + border-bottom: 1px solid #5e6d6f; + border-top-left-radius: 8px; + border-top-right-radius: 8px; } + html.theme--documenter-dark .modal-card-title { + color: #f2f2f2; + flex-grow: 1; + flex-shrink: 0; + font-size: 1.5rem; + line-height: 1; } + html.theme--documenter-dark .modal-card-foot { + border-bottom-left-radius: 8px; + border-bottom-right-radius: 8px; + border-top: 1px solid #5e6d6f; } + html.theme--documenter-dark .modal-card-foot .button:not(:last-child) { + margin-right: 0.5em; } + html.theme--documenter-dark .modal-card-body { + -webkit-overflow-scrolling: touch; + background-color: white; + flex-grow: 1; + flex-shrink: 1; + overflow: auto; + padding: 20px; } + html.theme--documenter-dark .navbar { + background-color: #375a7f; + min-height: 4rem; + position: relative; + z-index: 30; } + html.theme--documenter-dark .navbar.is-white { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link { + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after { + border-color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-burger { + color: #0a0a0a; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link { + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after { + border-color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #f2f2f2; + color: #0a0a0a; } + html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active { + background-color: white; + color: #0a0a0a; } } + html.theme--documenter-dark .navbar.is-black { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link { + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active { + background-color: black; + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after { + border-color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-burger { + color: white; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link { + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active { + background-color: black; + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after { + border-color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link { + background-color: black; + color: white; } + html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active { + background-color: #0a0a0a; + color: white; } } + html.theme--documenter-dark .navbar.is-light { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link { + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after { + border-color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-burger { + color: #282f2f; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link { + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after { + border-color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active { + background-color: #ecf0f1; + color: #282f2f; } } + html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link { + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active, + html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active { + background-color: #1d2122; + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after { + border-color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger { + color: #ecf0f1; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item, + html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link { + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus, + html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover, + html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active { + background-color: #1d2122; + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after, + html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after { + border-color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link, + html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #1d2122; + color: #ecf0f1; } + html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active { + background-color: #282f2f; + color: #ecf0f1; } } + html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active { + background-color: #2f4d6d; + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active { + background-color: #2f4d6d; + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link, + html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #2f4d6d; + color: #fff; } + html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { + background-color: #375a7f; + color: #fff; } } + html.theme--documenter-dark .navbar.is-link { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active { + background-color: #17a689; + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active { + background-color: #17a689; + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #17a689; + color: #fff; } + html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active { + background-color: #1abc9c; + color: #fff; } } + html.theme--documenter-dark .navbar.is-info { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active { + background-color: #023d64; + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active { + background-color: #023d64; + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #023d64; + color: #fff; } + html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active { + background-color: #024c7d; + color: #fff; } } + html.theme--documenter-dark .navbar.is-success { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active { + background-color: #006b2d; + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active { + background-color: #006b2d; + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #006b2d; + color: #fff; } + html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active { + background-color: #008438; + color: #fff; } } + html.theme--documenter-dark .navbar.is-warning { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active { + background-color: #946e00; + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active { + background-color: #946e00; + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #946e00; + color: #fff; } + html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active { + background-color: #ad8100; + color: #fff; } } + html.theme--documenter-dark .navbar.is-danger { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item, + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus, + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover, + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active { + background-color: #86170b; + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item, + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link, + html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link { + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus, + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover, + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active, + html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus, + html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover, + html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active { + background-color: #86170b; + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after, + html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after { + border-color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link, + html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link, + html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #86170b; + color: #fff; } + html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active { + background-color: #9e1b0d; + color: #fff; } } + html.theme--documenter-dark .navbar > .container { + align-items: stretch; + display: flex; + min-height: 4rem; + width: 100%; } + html.theme--documenter-dark .navbar.has-shadow { + box-shadow: 0 2px 0 0 #282f2f; } + html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + html.theme--documenter-dark .navbar.is-fixed-bottom { + bottom: 0; } + html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow { + box-shadow: 0 -2px 0 0 #282f2f; } + html.theme--documenter-dark .navbar.is-fixed-top { + top: 0; } + html.theme--documenter-dark html.has-navbar-fixed-top, + html.theme--documenter-dark body.has-navbar-fixed-top { + padding-top: 4rem; } + html.theme--documenter-dark html.has-navbar-fixed-bottom, + html.theme--documenter-dark body.has-navbar-fixed-bottom { + padding-bottom: 4rem; } + html.theme--documenter-dark .navbar-brand, + html.theme--documenter-dark .navbar-tabs { + align-items: stretch; + display: flex; + flex-shrink: 0; + min-height: 4rem; } + html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .navbar-tabs { + -webkit-overflow-scrolling: touch; + max-width: 100vw; + overflow-x: auto; + overflow-y: hidden; } + html.theme--documenter-dark .navbar-burger { + color: #fff; + cursor: pointer; + display: block; + height: 4rem; + position: relative; + width: 4rem; + margin-left: auto; } + html.theme--documenter-dark .navbar-burger span { + background-color: currentColor; + display: block; + height: 1px; + left: calc(50% - 8px); + position: absolute; + transform-origin: center; + transition-duration: 86ms; + transition-property: background-color, opacity, transform; + transition-timing-function: ease-out; + width: 16px; } + html.theme--documenter-dark .navbar-burger span:nth-child(1) { + top: calc(50% - 6px); } + html.theme--documenter-dark .navbar-burger span:nth-child(2) { + top: calc(50% - 1px); } + html.theme--documenter-dark .navbar-burger span:nth-child(3) { + top: calc(50% + 4px); } + html.theme--documenter-dark .navbar-burger:hover { + background-color: rgba(0, 0, 0, 0.05); } + html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) { + transform: translateY(5px) rotate(45deg); } + html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) { + opacity: 0; } + html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) { + transform: translateY(-5px) rotate(-45deg); } + html.theme--documenter-dark .navbar-menu { + display: none; } + html.theme--documenter-dark .navbar-item, + html.theme--documenter-dark .navbar-link { + color: #fff; + display: block; + line-height: 1.5; + padding: 0.5rem 0.75rem; + position: relative; } + html.theme--documenter-dark .navbar-item .icon:only-child, + html.theme--documenter-dark .navbar-link .icon:only-child { + margin-left: -0.25rem; + margin-right: -0.25rem; } + html.theme--documenter-dark a.navbar-item, + html.theme--documenter-dark .navbar-link { + cursor: pointer; } + html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active, + html.theme--documenter-dark .navbar-link:focus, + html.theme--documenter-dark .navbar-link:focus-within, + html.theme--documenter-dark .navbar-link:hover, + html.theme--documenter-dark .navbar-link.is-active { + background-color: transparent; + color: #1abc9c; } + html.theme--documenter-dark .navbar-item { + display: block; + flex-grow: 0; + flex-shrink: 0; } + html.theme--documenter-dark .navbar-item img { + max-height: 1.75rem; } + html.theme--documenter-dark .navbar-item.has-dropdown { + padding: 0; } + html.theme--documenter-dark .navbar-item.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .navbar-item.is-tab { + border-bottom: 1px solid transparent; + min-height: 4rem; + padding-bottom: calc(0.5rem - 1px); } + html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover { + background-color: transparent; + border-bottom-color: #1abc9c; } + html.theme--documenter-dark .navbar-item.is-tab.is-active { + background-color: transparent; + border-bottom-color: #1abc9c; + border-bottom-style: solid; + border-bottom-width: 3px; + color: #1abc9c; + padding-bottom: calc(0.5rem - 3px); } + html.theme--documenter-dark .navbar-content { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .navbar-link:not(.is-arrowless) { + padding-right: 2.5em; } + html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after { + border-color: #fff; + margin-top: -0.375em; + right: 1.125em; } + html.theme--documenter-dark .navbar-dropdown { + font-size: 0.875rem; + padding-bottom: 0.5rem; + padding-top: 0.5rem; } + html.theme--documenter-dark .navbar-dropdown .navbar-item { + padding-left: 1.5rem; + padding-right: 1.5rem; } + html.theme--documenter-dark .navbar-divider { + background-color: rgba(0, 0, 0, 0.2); + border: none; + display: none; + height: 2px; + margin: 0.5rem 0; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .navbar > .container { + display: block; } + html.theme--documenter-dark .navbar-brand .navbar-item, + html.theme--documenter-dark .navbar-tabs .navbar-item { + align-items: center; + display: flex; } + html.theme--documenter-dark .navbar-link::after { + display: none; } + html.theme--documenter-dark .navbar-menu { + background-color: #375a7f; + box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1); + padding: 0.5rem 0; } + html.theme--documenter-dark .navbar-menu.is-active { + display: block; } + html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + html.theme--documenter-dark .navbar.is-fixed-bottom-touch { + bottom: 0; } + html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow { + box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .navbar.is-fixed-top-touch { + top: 0; } + html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu { + -webkit-overflow-scrolling: touch; + max-height: calc(100vh - 4rem); + overflow: auto; } + html.theme--documenter-dark html.has-navbar-fixed-top-touch, + html.theme--documenter-dark body.has-navbar-fixed-top-touch { + padding-top: 4rem; } + html.theme--documenter-dark html.has-navbar-fixed-bottom-touch, + html.theme--documenter-dark body.has-navbar-fixed-bottom-touch { + padding-bottom: 4rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .navbar, + html.theme--documenter-dark .navbar-menu, + html.theme--documenter-dark .navbar-start, + html.theme--documenter-dark .navbar-end { + align-items: stretch; + display: flex; } + html.theme--documenter-dark .navbar { + min-height: 4rem; } + html.theme--documenter-dark .navbar.is-spaced { + padding: 1rem 2rem; } + html.theme--documenter-dark .navbar.is-spaced .navbar-start, + html.theme--documenter-dark .navbar.is-spaced .navbar-end { + align-items: center; } + html.theme--documenter-dark .navbar.is-spaced a.navbar-item, + html.theme--documenter-dark .navbar.is-spaced .navbar-link { + border-radius: 0.4em; } + html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active, + html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus, + html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover, + html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active { + background-color: transparent !important; } + html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link { + background-color: transparent !important; } + html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover { + background-color: transparent; + color: #dbdee0; } + html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active { + background-color: transparent; + color: #1abc9c; } + html.theme--documenter-dark .navbar-burger { + display: none; } + html.theme--documenter-dark .navbar-item, + html.theme--documenter-dark .navbar-link { + align-items: center; + display: flex; } + html.theme--documenter-dark .navbar-item { + display: flex; } + html.theme--documenter-dark .navbar-item.has-dropdown { + align-items: stretch; } + html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after { + transform: rotate(135deg) translate(0.25em, -0.25em); } + html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown { + border-bottom: 1px solid rgba(0, 0, 0, 0.2); + border-radius: 8px 8px 0 0; + border-top: none; + bottom: 100%; + box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1); + top: auto; } + html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown { + display: block; } + .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed { + opacity: 1; + pointer-events: auto; + transform: translateY(0); } + html.theme--documenter-dark .navbar-menu { + flex-grow: 1; + flex-shrink: 0; } + html.theme--documenter-dark .navbar-start { + justify-content: flex-start; + margin-right: auto; } + html.theme--documenter-dark .navbar-end { + justify-content: flex-end; + margin-left: auto; } + html.theme--documenter-dark .navbar-dropdown { + background-color: #375a7f; + border-bottom-left-radius: 8px; + border-bottom-right-radius: 8px; + border-top: 1px solid rgba(0, 0, 0, 0.2); + box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1); + display: none; + font-size: 0.875rem; + left: 0; + min-width: 100%; + position: absolute; + top: 100%; + z-index: 20; } + html.theme--documenter-dark .navbar-dropdown .navbar-item { + padding: 0.375rem 1rem; + white-space: nowrap; } + html.theme--documenter-dark .navbar-dropdown a.navbar-item { + padding-right: 3rem; } + html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover { + background-color: transparent; + color: #dbdee0; } + html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active { + background-color: transparent; + color: #1abc9c; } + .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed { + border-radius: 8px; + border-top: none; + box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + display: block; + opacity: 0; + pointer-events: none; + top: calc(100% + (-4px)); + transform: translateY(-5px); + transition-duration: 86ms; + transition-property: opacity, transform; } + html.theme--documenter-dark .navbar-dropdown.is-right { + left: auto; + right: 0; } + html.theme--documenter-dark .navbar-divider { + display: block; } + html.theme--documenter-dark .navbar > .container .navbar-brand, + html.theme--documenter-dark .container > .navbar .navbar-brand { + margin-left: -.75rem; } + html.theme--documenter-dark .navbar > .container .navbar-menu, + html.theme--documenter-dark .container > .navbar .navbar-menu { + margin-right: -.75rem; } + html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + html.theme--documenter-dark .navbar.is-fixed-bottom-desktop { + bottom: 0; } + html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow { + box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .navbar.is-fixed-top-desktop { + top: 0; } + html.theme--documenter-dark html.has-navbar-fixed-top-desktop, + html.theme--documenter-dark body.has-navbar-fixed-top-desktop { + padding-top: 4rem; } + html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop, + html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop { + padding-bottom: 4rem; } + html.theme--documenter-dark html.has-spaced-navbar-fixed-top, + html.theme--documenter-dark body.has-spaced-navbar-fixed-top { + padding-top: 6rem; } + html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom, + html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom { + padding-bottom: 6rem; } + html.theme--documenter-dark a.navbar-item.is-active, + html.theme--documenter-dark .navbar-link.is-active { + color: #1abc9c; } + html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover), + html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) { + background-color: transparent; } + html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link { + background-color: transparent; } } + html.theme--documenter-dark .hero.is-fullheight-with-navbar { + min-height: calc(100vh - 4rem); } + html.theme--documenter-dark .pagination { + font-size: 15px; + margin: -0.25rem; } + html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination { + font-size: 0.85em; } + html.theme--documenter-dark .pagination.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .pagination.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous, + html.theme--documenter-dark .pagination.is-rounded .pagination-next, + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next { + padding-left: 1em; + padding-right: 1em; + border-radius: 290486px; } + html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link { + border-radius: 290486px; } + html.theme--documenter-dark .pagination, + html.theme--documenter-dark .pagination-list { + align-items: center; + display: flex; + justify-content: center; + text-align: center; } + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark .pagination-link, + html.theme--documenter-dark .pagination-ellipsis { + font-size: 1em; + justify-content: center; + margin: 0.25rem; + padding-left: 0.5em; + padding-right: 0.5em; + text-align: center; } + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark .pagination-link { + border-color: #5e6d6f; + color: #1abc9c; + min-width: 2.25em; } + html.theme--documenter-dark .pagination-previous:hover, + html.theme--documenter-dark .pagination-next:hover, + html.theme--documenter-dark .pagination-link:hover { + border-color: #8c9b9d; + color: #1dd2af; } + html.theme--documenter-dark .pagination-previous:focus, + html.theme--documenter-dark .pagination-next:focus, + html.theme--documenter-dark .pagination-link:focus { + border-color: #8c9b9d; } + html.theme--documenter-dark .pagination-previous:active, + html.theme--documenter-dark .pagination-next:active, + html.theme--documenter-dark .pagination-link:active { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); } + html.theme--documenter-dark .pagination-previous[disabled], + html.theme--documenter-dark .pagination-next[disabled], + html.theme--documenter-dark .pagination-link[disabled] { + background-color: #dbdee0; + border-color: #dbdee0; + box-shadow: none; + color: #5e6d6f; + opacity: 0.5; } + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .pagination-next { + padding-left: 0.75em; + padding-right: 0.75em; + white-space: nowrap; } + html.theme--documenter-dark .pagination-link.is-current { + background-color: #1abc9c; + border-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .pagination-ellipsis { + color: #8c9b9d; + pointer-events: none; } + html.theme--documenter-dark .pagination-list { + flex-wrap: wrap; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .pagination { + flex-wrap: wrap; } + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .pagination-next { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .pagination-list li { + flex-grow: 1; + flex-shrink: 1; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .pagination-list { + flex-grow: 1; + flex-shrink: 1; + justify-content: flex-start; + order: 1; } + html.theme--documenter-dark .pagination-previous { + order: 2; } + html.theme--documenter-dark .pagination-next { + order: 3; } + html.theme--documenter-dark .pagination { + justify-content: space-between; } + html.theme--documenter-dark .pagination.is-centered .pagination-previous { + order: 1; } + html.theme--documenter-dark .pagination.is-centered .pagination-list { + justify-content: center; + order: 2; } + html.theme--documenter-dark .pagination.is-centered .pagination-next { + order: 3; } + html.theme--documenter-dark .pagination.is-right .pagination-previous { + order: 1; } + html.theme--documenter-dark .pagination.is-right .pagination-next { + order: 2; } + html.theme--documenter-dark .pagination.is-right .pagination-list { + justify-content: flex-end; + order: 3; } } + html.theme--documenter-dark .panel { + font-size: 15px; } + html.theme--documenter-dark .panel:not(:last-child) { + margin-bottom: 1.5rem; } + html.theme--documenter-dark .panel-heading, + html.theme--documenter-dark .panel-tabs, + html.theme--documenter-dark .panel-block { + border-bottom: 1px solid #5e6d6f; + border-left: 1px solid #5e6d6f; + border-right: 1px solid #5e6d6f; } + html.theme--documenter-dark .panel-heading:first-child, + html.theme--documenter-dark .panel-tabs:first-child, + html.theme--documenter-dark .panel-block:first-child { + border-top: 1px solid #5e6d6f; } + html.theme--documenter-dark .panel-heading { + background-color: #282f2f; + border-radius: 0.4em 0.4em 0 0; + color: #f2f2f2; + font-size: 1.25em; + font-weight: 300; + line-height: 1.25; + padding: 0.5em 0.75em; } + html.theme--documenter-dark .panel-tabs { + align-items: flex-end; + display: flex; + font-size: 0.875em; + justify-content: center; } + html.theme--documenter-dark .panel-tabs a { + border-bottom: 1px solid #5e6d6f; + margin-bottom: -1px; + padding: 0.5em; } + html.theme--documenter-dark .panel-tabs a.is-active { + border-bottom-color: #343c3d; + color: #17a689; } + html.theme--documenter-dark .panel-list a { + color: #fff; } + html.theme--documenter-dark .panel-list a:hover { + color: #1abc9c; } + html.theme--documenter-dark .panel-block { + align-items: center; + color: #f2f2f2; + display: flex; + justify-content: flex-start; + padding: 0.5em 0.75em; } + html.theme--documenter-dark .panel-block input[type="checkbox"] { + margin-right: 0.75em; } + html.theme--documenter-dark .panel-block > .control { + flex-grow: 1; + flex-shrink: 1; + width: 100%; } + html.theme--documenter-dark .panel-block.is-wrapped { + flex-wrap: wrap; } + html.theme--documenter-dark .panel-block.is-active { + border-left-color: #1abc9c; + color: #17a689; } + html.theme--documenter-dark .panel-block.is-active .panel-icon { + color: #1abc9c; } + html.theme--documenter-dark a.panel-block, + html.theme--documenter-dark label.panel-block { + cursor: pointer; } + html.theme--documenter-dark a.panel-block:hover, + html.theme--documenter-dark label.panel-block:hover { + background-color: #282f2f; } + html.theme--documenter-dark .panel-icon { + display: inline-block; + font-size: 14px; + height: 1em; + line-height: 1em; + text-align: center; + vertical-align: top; + width: 1em; + color: white; + margin-right: 0.75em; } + html.theme--documenter-dark .panel-icon .fa { + font-size: inherit; + line-height: inherit; } + html.theme--documenter-dark .tabs { + -webkit-overflow-scrolling: touch; + align-items: stretch; + display: flex; + font-size: 15px; + justify-content: space-between; + overflow: hidden; + overflow-x: auto; + white-space: nowrap; } + html.theme--documenter-dark .tabs a { + align-items: center; + border-bottom-color: #5e6d6f; + border-bottom-style: solid; + border-bottom-width: 1px; + color: #fff; + display: flex; + justify-content: center; + margin-bottom: -1px; + padding: 0.5em 1em; + vertical-align: top; } + html.theme--documenter-dark .tabs a:hover { + border-bottom-color: #f2f2f2; + color: #f2f2f2; } + html.theme--documenter-dark .tabs li { + display: block; } + html.theme--documenter-dark .tabs li.is-active a { + border-bottom-color: #1abc9c; + color: #1abc9c; } + html.theme--documenter-dark .tabs ul { + align-items: center; + border-bottom-color: #5e6d6f; + border-bottom-style: solid; + border-bottom-width: 1px; + display: flex; + flex-grow: 1; + flex-shrink: 0; + justify-content: flex-start; } + html.theme--documenter-dark .tabs ul.is-left { + padding-right: 0.75em; } + html.theme--documenter-dark .tabs ul.is-center { + flex: none; + justify-content: center; + padding-left: 0.75em; + padding-right: 0.75em; } + html.theme--documenter-dark .tabs ul.is-right { + justify-content: flex-end; + padding-left: 0.75em; } + html.theme--documenter-dark .tabs .icon:first-child { + margin-right: 0.5em; } + html.theme--documenter-dark .tabs .icon:last-child { + margin-left: 0.5em; } + html.theme--documenter-dark .tabs.is-centered ul { + justify-content: center; } + html.theme--documenter-dark .tabs.is-right ul { + justify-content: flex-end; } + html.theme--documenter-dark .tabs.is-boxed a { + border: 1px solid transparent; + border-radius: 0.4em 0.4em 0 0; } + html.theme--documenter-dark .tabs.is-boxed a:hover { + background-color: #282f2f; + border-bottom-color: #5e6d6f; } + html.theme--documenter-dark .tabs.is-boxed li.is-active a { + background-color: white; + border-color: #5e6d6f; + border-bottom-color: transparent !important; } + html.theme--documenter-dark .tabs.is-fullwidth li { + flex-grow: 1; + flex-shrink: 0; } + html.theme--documenter-dark .tabs.is-toggle a { + border-color: #5e6d6f; + border-style: solid; + border-width: 1px; + margin-bottom: 0; + position: relative; } + html.theme--documenter-dark .tabs.is-toggle a:hover { + background-color: #282f2f; + border-color: #8c9b9d; + z-index: 2; } + html.theme--documenter-dark .tabs.is-toggle li + li { + margin-left: -1px; } + html.theme--documenter-dark .tabs.is-toggle li:first-child a { + border-radius: 0.4em 0 0 0.4em; } + html.theme--documenter-dark .tabs.is-toggle li:last-child a { + border-radius: 0 0.4em 0.4em 0; } + html.theme--documenter-dark .tabs.is-toggle li.is-active a { + background-color: #1abc9c; + border-color: #1abc9c; + color: #fff; + z-index: 1; } + html.theme--documenter-dark .tabs.is-toggle ul { + border-bottom: none; } + html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a { + border-bottom-left-radius: 290486px; + border-top-left-radius: 290486px; + padding-left: 1.25em; } + html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a { + border-bottom-right-radius: 290486px; + border-top-right-radius: 290486px; + padding-right: 1.25em; } + html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs { + font-size: 0.85em; } + html.theme--documenter-dark .tabs.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .tabs.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .column { + display: block; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 1; + padding: 0.75rem; } + .columns.is-mobile > html.theme--documenter-dark .column.is-narrow { + flex: none; } + .columns.is-mobile > html.theme--documenter-dark .column.is-full { + flex: none; + width: 100%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters { + flex: none; + width: 75%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds { + flex: none; + width: 66.6666%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-half { + flex: none; + width: 50%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-one-third { + flex: none; + width: 33.3333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter { + flex: none; + width: 25%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth { + flex: none; + width: 20%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths { + flex: none; + width: 40%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths { + flex: none; + width: 60%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths { + flex: none; + width: 80%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters { + margin-left: 75%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds { + margin-left: 66.6666%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half { + margin-left: 50%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third { + margin-left: 33.3333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter { + margin-left: 25%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth { + margin-left: 20%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths { + margin-left: 40%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths { + margin-left: 60%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths { + margin-left: 80%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-0 { + flex: none; + width: 0%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 { + margin-left: 0%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-1 { + flex: none; + width: 8.33333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 { + margin-left: 8.33333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-2 { + flex: none; + width: 16.66667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 { + margin-left: 16.66667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-3 { + flex: none; + width: 25%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 { + margin-left: 25%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-4 { + flex: none; + width: 33.33333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 { + margin-left: 33.33333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-5 { + flex: none; + width: 41.66667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 { + margin-left: 41.66667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-6 { + flex: none; + width: 50%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 { + margin-left: 50%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-7 { + flex: none; + width: 58.33333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 { + margin-left: 58.33333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-8 { + flex: none; + width: 66.66667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 { + margin-left: 66.66667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-9 { + flex: none; + width: 75%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 { + margin-left: 75%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-10 { + flex: none; + width: 83.33333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 { + margin-left: 83.33333%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-11 { + flex: none; + width: 91.66667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 { + margin-left: 91.66667%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-12 { + flex: none; + width: 100%; } + .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 { + margin-left: 100%; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .column.is-narrow-mobile { + flex: none; } + html.theme--documenter-dark .column.is-full-mobile { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-mobile { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-mobile { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-mobile { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-mobile { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-mobile { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-mobile { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-mobile { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-mobile { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-mobile { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-mobile { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-mobile { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-mobile { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-mobile { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-mobile { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-mobile { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-mobile { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-mobile { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-mobile { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-mobile { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-mobile { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-mobile { + flex: none; + width: 8.33333%; } + html.theme--documenter-dark .column.is-offset-1-mobile { + margin-left: 8.33333%; } + html.theme--documenter-dark .column.is-2-mobile { + flex: none; + width: 16.66667%; } + html.theme--documenter-dark .column.is-offset-2-mobile { + margin-left: 16.66667%; } + html.theme--documenter-dark .column.is-3-mobile { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-mobile { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-mobile { + flex: none; + width: 33.33333%; } + html.theme--documenter-dark .column.is-offset-4-mobile { + margin-left: 33.33333%; } + html.theme--documenter-dark .column.is-5-mobile { + flex: none; + width: 41.66667%; } + html.theme--documenter-dark .column.is-offset-5-mobile { + margin-left: 41.66667%; } + html.theme--documenter-dark .column.is-6-mobile { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-mobile { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-mobile { + flex: none; + width: 58.33333%; } + html.theme--documenter-dark .column.is-offset-7-mobile { + margin-left: 58.33333%; } + html.theme--documenter-dark .column.is-8-mobile { + flex: none; + width: 66.66667%; } + html.theme--documenter-dark .column.is-offset-8-mobile { + margin-left: 66.66667%; } + html.theme--documenter-dark .column.is-9-mobile { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-mobile { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-mobile { + flex: none; + width: 83.33333%; } + html.theme--documenter-dark .column.is-offset-10-mobile { + margin-left: 83.33333%; } + html.theme--documenter-dark .column.is-11-mobile { + flex: none; + width: 91.66667%; } + html.theme--documenter-dark .column.is-offset-11-mobile { + margin-left: 91.66667%; } + html.theme--documenter-dark .column.is-12-mobile { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-mobile { + margin-left: 100%; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet { + flex: none; } + html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet { + flex: none; + width: 8.33333%; } + html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet { + margin-left: 8.33333%; } + html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet { + flex: none; + width: 16.66667%; } + html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet { + margin-left: 16.66667%; } + html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet { + flex: none; + width: 33.33333%; } + html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet { + margin-left: 33.33333%; } + html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet { + flex: none; + width: 41.66667%; } + html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet { + margin-left: 41.66667%; } + html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet { + flex: none; + width: 58.33333%; } + html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet { + margin-left: 58.33333%; } + html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet { + flex: none; + width: 66.66667%; } + html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet { + margin-left: 66.66667%; } + html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet { + flex: none; + width: 83.33333%; } + html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet { + margin-left: 83.33333%; } + html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet { + flex: none; + width: 91.66667%; } + html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet { + margin-left: 91.66667%; } + html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet { + margin-left: 100%; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .column.is-narrow-touch { + flex: none; } + html.theme--documenter-dark .column.is-full-touch { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-touch { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-touch { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-touch { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-touch { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-touch { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-touch { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-touch { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-touch { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-touch { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-touch { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-touch { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-touch { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-touch { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-touch { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-touch { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-touch { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-touch { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-touch { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-touch { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-touch { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-touch { + flex: none; + width: 8.33333%; } + html.theme--documenter-dark .column.is-offset-1-touch { + margin-left: 8.33333%; } + html.theme--documenter-dark .column.is-2-touch { + flex: none; + width: 16.66667%; } + html.theme--documenter-dark .column.is-offset-2-touch { + margin-left: 16.66667%; } + html.theme--documenter-dark .column.is-3-touch { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-touch { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-touch { + flex: none; + width: 33.33333%; } + html.theme--documenter-dark .column.is-offset-4-touch { + margin-left: 33.33333%; } + html.theme--documenter-dark .column.is-5-touch { + flex: none; + width: 41.66667%; } + html.theme--documenter-dark .column.is-offset-5-touch { + margin-left: 41.66667%; } + html.theme--documenter-dark .column.is-6-touch { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-touch { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-touch { + flex: none; + width: 58.33333%; } + html.theme--documenter-dark .column.is-offset-7-touch { + margin-left: 58.33333%; } + html.theme--documenter-dark .column.is-8-touch { + flex: none; + width: 66.66667%; } + html.theme--documenter-dark .column.is-offset-8-touch { + margin-left: 66.66667%; } + html.theme--documenter-dark .column.is-9-touch { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-touch { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-touch { + flex: none; + width: 83.33333%; } + html.theme--documenter-dark .column.is-offset-10-touch { + margin-left: 83.33333%; } + html.theme--documenter-dark .column.is-11-touch { + flex: none; + width: 91.66667%; } + html.theme--documenter-dark .column.is-offset-11-touch { + margin-left: 91.66667%; } + html.theme--documenter-dark .column.is-12-touch { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-touch { + margin-left: 100%; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .column.is-narrow-desktop { + flex: none; } + html.theme--documenter-dark .column.is-full-desktop { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-desktop { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-desktop { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-desktop { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-desktop { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-desktop { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-desktop { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-desktop { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-desktop { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-desktop { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-desktop { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-desktop { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-desktop { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-desktop { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-desktop { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-desktop { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-desktop { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-desktop { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-desktop { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-desktop { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-desktop { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-desktop { + flex: none; + width: 8.33333%; } + html.theme--documenter-dark .column.is-offset-1-desktop { + margin-left: 8.33333%; } + html.theme--documenter-dark .column.is-2-desktop { + flex: none; + width: 16.66667%; } + html.theme--documenter-dark .column.is-offset-2-desktop { + margin-left: 16.66667%; } + html.theme--documenter-dark .column.is-3-desktop { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-desktop { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-desktop { + flex: none; + width: 33.33333%; } + html.theme--documenter-dark .column.is-offset-4-desktop { + margin-left: 33.33333%; } + html.theme--documenter-dark .column.is-5-desktop { + flex: none; + width: 41.66667%; } + html.theme--documenter-dark .column.is-offset-5-desktop { + margin-left: 41.66667%; } + html.theme--documenter-dark .column.is-6-desktop { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-desktop { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-desktop { + flex: none; + width: 58.33333%; } + html.theme--documenter-dark .column.is-offset-7-desktop { + margin-left: 58.33333%; } + html.theme--documenter-dark .column.is-8-desktop { + flex: none; + width: 66.66667%; } + html.theme--documenter-dark .column.is-offset-8-desktop { + margin-left: 66.66667%; } + html.theme--documenter-dark .column.is-9-desktop { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-desktop { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-desktop { + flex: none; + width: 83.33333%; } + html.theme--documenter-dark .column.is-offset-10-desktop { + margin-left: 83.33333%; } + html.theme--documenter-dark .column.is-11-desktop { + flex: none; + width: 91.66667%; } + html.theme--documenter-dark .column.is-offset-11-desktop { + margin-left: 91.66667%; } + html.theme--documenter-dark .column.is-12-desktop { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-desktop { + margin-left: 100%; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .column.is-narrow-widescreen { + flex: none; } + html.theme--documenter-dark .column.is-full-widescreen { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-widescreen { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-widescreen { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-widescreen { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-widescreen { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-widescreen { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-widescreen { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-widescreen { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-widescreen { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-widescreen { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-widescreen { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-widescreen { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-widescreen { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-widescreen { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-widescreen { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-widescreen { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-widescreen { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-widescreen { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-widescreen { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-widescreen { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-widescreen { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-widescreen { + flex: none; + width: 8.33333%; } + html.theme--documenter-dark .column.is-offset-1-widescreen { + margin-left: 8.33333%; } + html.theme--documenter-dark .column.is-2-widescreen { + flex: none; + width: 16.66667%; } + html.theme--documenter-dark .column.is-offset-2-widescreen { + margin-left: 16.66667%; } + html.theme--documenter-dark .column.is-3-widescreen { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-widescreen { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-widescreen { + flex: none; + width: 33.33333%; } + html.theme--documenter-dark .column.is-offset-4-widescreen { + margin-left: 33.33333%; } + html.theme--documenter-dark .column.is-5-widescreen { + flex: none; + width: 41.66667%; } + html.theme--documenter-dark .column.is-offset-5-widescreen { + margin-left: 41.66667%; } + html.theme--documenter-dark .column.is-6-widescreen { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-widescreen { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-widescreen { + flex: none; + width: 58.33333%; } + html.theme--documenter-dark .column.is-offset-7-widescreen { + margin-left: 58.33333%; } + html.theme--documenter-dark .column.is-8-widescreen { + flex: none; + width: 66.66667%; } + html.theme--documenter-dark .column.is-offset-8-widescreen { + margin-left: 66.66667%; } + html.theme--documenter-dark .column.is-9-widescreen { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-widescreen { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-widescreen { + flex: none; + width: 83.33333%; } + html.theme--documenter-dark .column.is-offset-10-widescreen { + margin-left: 83.33333%; } + html.theme--documenter-dark .column.is-11-widescreen { + flex: none; + width: 91.66667%; } + html.theme--documenter-dark .column.is-offset-11-widescreen { + margin-left: 91.66667%; } + html.theme--documenter-dark .column.is-12-widescreen { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-widescreen { + margin-left: 100%; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .column.is-narrow-fullhd { + flex: none; } + html.theme--documenter-dark .column.is-full-fullhd { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-three-quarters-fullhd { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-two-thirds-fullhd { + flex: none; + width: 66.6666%; } + html.theme--documenter-dark .column.is-half-fullhd { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-one-third-fullhd { + flex: none; + width: 33.3333%; } + html.theme--documenter-dark .column.is-one-quarter-fullhd { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-one-fifth-fullhd { + flex: none; + width: 20%; } + html.theme--documenter-dark .column.is-two-fifths-fullhd { + flex: none; + width: 40%; } + html.theme--documenter-dark .column.is-three-fifths-fullhd { + flex: none; + width: 60%; } + html.theme--documenter-dark .column.is-four-fifths-fullhd { + flex: none; + width: 80%; } + html.theme--documenter-dark .column.is-offset-three-quarters-fullhd { + margin-left: 75%; } + html.theme--documenter-dark .column.is-offset-two-thirds-fullhd { + margin-left: 66.6666%; } + html.theme--documenter-dark .column.is-offset-half-fullhd { + margin-left: 50%; } + html.theme--documenter-dark .column.is-offset-one-third-fullhd { + margin-left: 33.3333%; } + html.theme--documenter-dark .column.is-offset-one-quarter-fullhd { + margin-left: 25%; } + html.theme--documenter-dark .column.is-offset-one-fifth-fullhd { + margin-left: 20%; } + html.theme--documenter-dark .column.is-offset-two-fifths-fullhd { + margin-left: 40%; } + html.theme--documenter-dark .column.is-offset-three-fifths-fullhd { + margin-left: 60%; } + html.theme--documenter-dark .column.is-offset-four-fifths-fullhd { + margin-left: 80%; } + html.theme--documenter-dark .column.is-0-fullhd { + flex: none; + width: 0%; } + html.theme--documenter-dark .column.is-offset-0-fullhd { + margin-left: 0%; } + html.theme--documenter-dark .column.is-1-fullhd { + flex: none; + width: 8.33333%; } + html.theme--documenter-dark .column.is-offset-1-fullhd { + margin-left: 8.33333%; } + html.theme--documenter-dark .column.is-2-fullhd { + flex: none; + width: 16.66667%; } + html.theme--documenter-dark .column.is-offset-2-fullhd { + margin-left: 16.66667%; } + html.theme--documenter-dark .column.is-3-fullhd { + flex: none; + width: 25%; } + html.theme--documenter-dark .column.is-offset-3-fullhd { + margin-left: 25%; } + html.theme--documenter-dark .column.is-4-fullhd { + flex: none; + width: 33.33333%; } + html.theme--documenter-dark .column.is-offset-4-fullhd { + margin-left: 33.33333%; } + html.theme--documenter-dark .column.is-5-fullhd { + flex: none; + width: 41.66667%; } + html.theme--documenter-dark .column.is-offset-5-fullhd { + margin-left: 41.66667%; } + html.theme--documenter-dark .column.is-6-fullhd { + flex: none; + width: 50%; } + html.theme--documenter-dark .column.is-offset-6-fullhd { + margin-left: 50%; } + html.theme--documenter-dark .column.is-7-fullhd { + flex: none; + width: 58.33333%; } + html.theme--documenter-dark .column.is-offset-7-fullhd { + margin-left: 58.33333%; } + html.theme--documenter-dark .column.is-8-fullhd { + flex: none; + width: 66.66667%; } + html.theme--documenter-dark .column.is-offset-8-fullhd { + margin-left: 66.66667%; } + html.theme--documenter-dark .column.is-9-fullhd { + flex: none; + width: 75%; } + html.theme--documenter-dark .column.is-offset-9-fullhd { + margin-left: 75%; } + html.theme--documenter-dark .column.is-10-fullhd { + flex: none; + width: 83.33333%; } + html.theme--documenter-dark .column.is-offset-10-fullhd { + margin-left: 83.33333%; } + html.theme--documenter-dark .column.is-11-fullhd { + flex: none; + width: 91.66667%; } + html.theme--documenter-dark .column.is-offset-11-fullhd { + margin-left: 91.66667%; } + html.theme--documenter-dark .column.is-12-fullhd { + flex: none; + width: 100%; } + html.theme--documenter-dark .column.is-offset-12-fullhd { + margin-left: 100%; } } + html.theme--documenter-dark .columns { + margin-left: -0.75rem; + margin-right: -0.75rem; + margin-top: -0.75rem; } + html.theme--documenter-dark .columns:last-child { + margin-bottom: -0.75rem; } + html.theme--documenter-dark .columns:not(:last-child) { + margin-bottom: calc(1.5rem - 0.75rem); } + html.theme--documenter-dark .columns.is-centered { + justify-content: center; } + html.theme--documenter-dark .columns.is-gapless { + margin-left: 0; + margin-right: 0; + margin-top: 0; } + html.theme--documenter-dark .columns.is-gapless > .column { + margin: 0; + padding: 0 !important; } + html.theme--documenter-dark .columns.is-gapless:not(:last-child) { + margin-bottom: 1.5rem; } + html.theme--documenter-dark .columns.is-gapless:last-child { + margin-bottom: 0; } + html.theme--documenter-dark .columns.is-mobile { + display: flex; } + html.theme--documenter-dark .columns.is-multiline { + flex-wrap: wrap; } + html.theme--documenter-dark .columns.is-vcentered { + align-items: center; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns:not(.is-desktop) { + display: flex; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-desktop { + display: flex; } } + html.theme--documenter-dark .columns.is-variable { + --columnGap: 0.75rem; + margin-left: calc(-1 * var(--columnGap)); + margin-right: calc(-1 * var(--columnGap)); } + html.theme--documenter-dark .columns.is-variable .column { + padding-left: var(--columnGap); + padding-right: var(--columnGap); } + html.theme--documenter-dark .columns.is-variable.is-0 { + --columnGap: 0rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-0-mobile { + --columnGap: 0rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-0-tablet { + --columnGap: 0rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-0-tablet-only { + --columnGap: 0rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-0-touch { + --columnGap: 0rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-0-desktop { + --columnGap: 0rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-0-desktop-only { + --columnGap: 0rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-0-widescreen { + --columnGap: 0rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only { + --columnGap: 0rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-0-fullhd { + --columnGap: 0rem; } } + html.theme--documenter-dark .columns.is-variable.is-1 { + --columnGap: 0.25rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-1-mobile { + --columnGap: 0.25rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-1-tablet { + --columnGap: 0.25rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-1-tablet-only { + --columnGap: 0.25rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-1-touch { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-1-desktop { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-1-desktop-only { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-1-widescreen { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-1-fullhd { + --columnGap: 0.25rem; } } + html.theme--documenter-dark .columns.is-variable.is-2 { + --columnGap: 0.5rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-2-mobile { + --columnGap: 0.5rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-2-tablet { + --columnGap: 0.5rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-2-tablet-only { + --columnGap: 0.5rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-2-touch { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-2-desktop { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-2-desktop-only { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-2-widescreen { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-2-fullhd { + --columnGap: 0.5rem; } } + html.theme--documenter-dark .columns.is-variable.is-3 { + --columnGap: 0.75rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-3-mobile { + --columnGap: 0.75rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-3-tablet { + --columnGap: 0.75rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-3-tablet-only { + --columnGap: 0.75rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-3-touch { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-3-desktop { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-3-desktop-only { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-3-widescreen { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-3-fullhd { + --columnGap: 0.75rem; } } + html.theme--documenter-dark .columns.is-variable.is-4 { + --columnGap: 1rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-4-mobile { + --columnGap: 1rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-4-tablet { + --columnGap: 1rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-4-tablet-only { + --columnGap: 1rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-4-touch { + --columnGap: 1rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-4-desktop { + --columnGap: 1rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-4-desktop-only { + --columnGap: 1rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-4-widescreen { + --columnGap: 1rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only { + --columnGap: 1rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-4-fullhd { + --columnGap: 1rem; } } + html.theme--documenter-dark .columns.is-variable.is-5 { + --columnGap: 1.25rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-5-mobile { + --columnGap: 1.25rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-5-tablet { + --columnGap: 1.25rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-5-tablet-only { + --columnGap: 1.25rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-5-touch { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-5-desktop { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-5-desktop-only { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-5-widescreen { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-5-fullhd { + --columnGap: 1.25rem; } } + html.theme--documenter-dark .columns.is-variable.is-6 { + --columnGap: 1.5rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-6-mobile { + --columnGap: 1.5rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-6-tablet { + --columnGap: 1.5rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-6-tablet-only { + --columnGap: 1.5rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-6-touch { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-6-desktop { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-6-desktop-only { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-6-widescreen { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-6-fullhd { + --columnGap: 1.5rem; } } + html.theme--documenter-dark .columns.is-variable.is-7 { + --columnGap: 1.75rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-7-mobile { + --columnGap: 1.75rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-7-tablet { + --columnGap: 1.75rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-7-tablet-only { + --columnGap: 1.75rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-7-touch { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-7-desktop { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-7-desktop-only { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-7-widescreen { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-7-fullhd { + --columnGap: 1.75rem; } } + html.theme--documenter-dark .columns.is-variable.is-8 { + --columnGap: 2rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .columns.is-variable.is-8-mobile { + --columnGap: 2rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .columns.is-variable.is-8-tablet { + --columnGap: 2rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-8-tablet-only { + --columnGap: 2rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .columns.is-variable.is-8-touch { + --columnGap: 2rem; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .columns.is-variable.is-8-desktop { + --columnGap: 2rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + html.theme--documenter-dark .columns.is-variable.is-8-desktop-only { + --columnGap: 2rem; } } + @media screen and (min-width: 1216px) { + html.theme--documenter-dark .columns.is-variable.is-8-widescreen { + --columnGap: 2rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only { + --columnGap: 2rem; } } + @media screen and (min-width: 1408px) { + html.theme--documenter-dark .columns.is-variable.is-8-fullhd { + --columnGap: 2rem; } } + html.theme--documenter-dark .tile { + align-items: stretch; + display: block; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 1; + min-height: min-content; } + html.theme--documenter-dark .tile.is-ancestor { + margin-left: -0.75rem; + margin-right: -0.75rem; + margin-top: -0.75rem; } + html.theme--documenter-dark .tile.is-ancestor:last-child { + margin-bottom: -0.75rem; } + html.theme--documenter-dark .tile.is-ancestor:not(:last-child) { + margin-bottom: 0.75rem; } + html.theme--documenter-dark .tile.is-child { + margin: 0 !important; } + html.theme--documenter-dark .tile.is-parent { + padding: 0.75rem; } + html.theme--documenter-dark .tile.is-vertical { + flex-direction: column; } + html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) { + margin-bottom: 1.5rem !important; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .tile:not(.is-child) { + display: flex; } + html.theme--documenter-dark .tile.is-1 { + flex: none; + width: 8.33333%; } + html.theme--documenter-dark .tile.is-2 { + flex: none; + width: 16.66667%; } + html.theme--documenter-dark .tile.is-3 { + flex: none; + width: 25%; } + html.theme--documenter-dark .tile.is-4 { + flex: none; + width: 33.33333%; } + html.theme--documenter-dark .tile.is-5 { + flex: none; + width: 41.66667%; } + html.theme--documenter-dark .tile.is-6 { + flex: none; + width: 50%; } + html.theme--documenter-dark .tile.is-7 { + flex: none; + width: 58.33333%; } + html.theme--documenter-dark .tile.is-8 { + flex: none; + width: 66.66667%; } + html.theme--documenter-dark .tile.is-9 { + flex: none; + width: 75%; } + html.theme--documenter-dark .tile.is-10 { + flex: none; + width: 83.33333%; } + html.theme--documenter-dark .tile.is-11 { + flex: none; + width: 91.66667%; } + html.theme--documenter-dark .tile.is-12 { + flex: none; + width: 100%; } } + html.theme--documenter-dark .hero { + align-items: stretch; + display: flex; + flex-direction: column; + justify-content: space-between; } + html.theme--documenter-dark .hero .navbar { + background: none; } + html.theme--documenter-dark .hero .tabs ul { + border-bottom: none; } + html.theme--documenter-dark .hero.is-white { + background-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-white strong { + color: inherit; } + html.theme--documenter-dark .hero.is-white .title { + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-white .subtitle { + color: rgba(10, 10, 10, 0.9); } + html.theme--documenter-dark .hero.is-white .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-white .subtitle strong { + color: #0a0a0a; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-white .navbar-menu { + background-color: white; } } + html.theme--documenter-dark .hero.is-white .navbar-item, + html.theme--documenter-dark .hero.is-white .navbar-link { + color: rgba(10, 10, 10, 0.7); } + html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-white .navbar-link:hover, + html.theme--documenter-dark .hero.is-white .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-white .tabs a { + color: #0a0a0a; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-white .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-white .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a { + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .hero.is-white.is-bold { + background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } } + html.theme--documenter-dark .hero.is-black { + background-color: #0a0a0a; + color: white; } + html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-black strong { + color: inherit; } + html.theme--documenter-dark .hero.is-black .title { + color: white; } + html.theme--documenter-dark .hero.is-black .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-black .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-black .subtitle strong { + color: white; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-black .navbar-menu { + background-color: #0a0a0a; } } + html.theme--documenter-dark .hero.is-black .navbar-item, + html.theme--documenter-dark .hero.is-black .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-black .navbar-link:hover, + html.theme--documenter-dark .hero.is-black .navbar-link.is-active { + background-color: black; + color: white; } + html.theme--documenter-dark .hero.is-black .tabs a { + color: white; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-black .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-black .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a { + color: white; } + html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover { + background-color: white; + border-color: white; + color: #0a0a0a; } + html.theme--documenter-dark .hero.is-black.is-bold { + background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu { + background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } } + html.theme--documenter-dark .hero.is-light { + background-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-light strong { + color: inherit; } + html.theme--documenter-dark .hero.is-light .title { + color: #282f2f; } + html.theme--documenter-dark .hero.is-light .subtitle { + color: rgba(40, 47, 47, 0.9); } + html.theme--documenter-dark .hero.is-light .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-light .subtitle strong { + color: #282f2f; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-light .navbar-menu { + background-color: #ecf0f1; } } + html.theme--documenter-dark .hero.is-light .navbar-item, + html.theme--documenter-dark .hero.is-light .navbar-link { + color: rgba(40, 47, 47, 0.7); } + html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-light .navbar-link:hover, + html.theme--documenter-dark .hero.is-light .navbar-link.is-active { + background-color: #dde4e6; + color: #282f2f; } + html.theme--documenter-dark .hero.is-light .tabs a { + color: #282f2f; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-light .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-light .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a { + color: #282f2f; } + html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover { + background-color: #282f2f; + border-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-light.is-bold { + background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } } + html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero { + background-color: #282f2f; + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-dark strong, + html.theme--documenter-dark .content kbd.hero strong { + color: inherit; } + html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title { + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle { + color: rgba(236, 240, 241, 0.9); } + html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-dark .subtitle strong, + html.theme--documenter-dark .content kbd.hero .subtitle strong { + color: #ecf0f1; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu { + background-color: #282f2f; } } + html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item, + html.theme--documenter-dark .hero.is-dark .navbar-link, + html.theme--documenter-dark .content kbd.hero .navbar-link { + color: rgba(236, 240, 241, 0.7); } + html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-dark .navbar-link:hover, + html.theme--documenter-dark .content kbd.hero .navbar-link:hover, + html.theme--documenter-dark .hero.is-dark .navbar-link.is-active, + html.theme--documenter-dark .content kbd.hero .navbar-link.is-active { + background-color: #1d2122; + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a { + color: #ecf0f1; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a { + color: #ecf0f1; } + html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a:hover { + background-color: #ecf0f1; + border-color: #ecf0f1; + color: #282f2f; } + html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold { + background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } } + html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink { + background-color: #375a7f; + color: #fff; } + html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-primary strong, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong { + color: inherit; } + html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title { + color: #fff; } + html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-primary .subtitle strong, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu { + background-color: #375a7f; } } + html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item, + html.theme--documenter-dark .hero.is-primary .navbar-link, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-primary .navbar-link:hover, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover, + html.theme--documenter-dark .hero.is-primary .navbar-link.is-active, + html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active { + background-color: #2f4d6d; + color: #fff; } + html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #375a7f; } + html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink { + background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu { + background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } } + html.theme--documenter-dark .hero.is-link { + background-color: #1abc9c; + color: #fff; } + html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-link strong { + color: inherit; } + html.theme--documenter-dark .hero.is-link .title { + color: #fff; } + html.theme--documenter-dark .hero.is-link .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-link .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-link .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-link .navbar-menu { + background-color: #1abc9c; } } + html.theme--documenter-dark .hero.is-link .navbar-item, + html.theme--documenter-dark .hero.is-link .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-link .navbar-link:hover, + html.theme--documenter-dark .hero.is-link .navbar-link.is-active { + background-color: #17a689; + color: #fff; } + html.theme--documenter-dark .hero.is-link .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-link .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-link .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #1abc9c; } + html.theme--documenter-dark .hero.is-link.is-bold { + background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } } + html.theme--documenter-dark .hero.is-info { + background-color: #024c7d; + color: #fff; } + html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-info strong { + color: inherit; } + html.theme--documenter-dark .hero.is-info .title { + color: #fff; } + html.theme--documenter-dark .hero.is-info .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-info .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-info .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-info .navbar-menu { + background-color: #024c7d; } } + html.theme--documenter-dark .hero.is-info .navbar-item, + html.theme--documenter-dark .hero.is-info .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-info .navbar-link:hover, + html.theme--documenter-dark .hero.is-info .navbar-link.is-active { + background-color: #023d64; + color: #fff; } + html.theme--documenter-dark .hero.is-info .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-info .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-info .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #024c7d; } + html.theme--documenter-dark .hero.is-info.is-bold { + background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } } + html.theme--documenter-dark .hero.is-success { + background-color: #008438; + color: #fff; } + html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-success strong { + color: inherit; } + html.theme--documenter-dark .hero.is-success .title { + color: #fff; } + html.theme--documenter-dark .hero.is-success .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-success .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-success .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-success .navbar-menu { + background-color: #008438; } } + html.theme--documenter-dark .hero.is-success .navbar-item, + html.theme--documenter-dark .hero.is-success .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-success .navbar-link:hover, + html.theme--documenter-dark .hero.is-success .navbar-link.is-active { + background-color: #006b2d; + color: #fff; } + html.theme--documenter-dark .hero.is-success .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-success .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-success .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #008438; } + html.theme--documenter-dark .hero.is-success.is-bold { + background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } } + html.theme--documenter-dark .hero.is-warning { + background-color: #ad8100; + color: #fff; } + html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-warning strong { + color: inherit; } + html.theme--documenter-dark .hero.is-warning .title { + color: #fff; } + html.theme--documenter-dark .hero.is-warning .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-warning .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-warning .navbar-menu { + background-color: #ad8100; } } + html.theme--documenter-dark .hero.is-warning .navbar-item, + html.theme--documenter-dark .hero.is-warning .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-warning .navbar-link:hover, + html.theme--documenter-dark .hero.is-warning .navbar-link.is-active { + background-color: #946e00; + color: #fff; } + html.theme--documenter-dark .hero.is-warning .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-warning .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-warning .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #ad8100; } + html.theme--documenter-dark .hero.is-warning.is-bold { + background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } } + html.theme--documenter-dark .hero.is-danger { + background-color: #9e1b0d; + color: #fff; } + html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + html.theme--documenter-dark .hero.is-danger strong { + color: inherit; } + html.theme--documenter-dark .hero.is-danger .title { + color: #fff; } + html.theme--documenter-dark .hero.is-danger .subtitle { + color: rgba(255, 255, 255, 0.9); } + html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button), + html.theme--documenter-dark .hero.is-danger .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .hero.is-danger .navbar-menu { + background-color: #9e1b0d; } } + html.theme--documenter-dark .hero.is-danger .navbar-item, + html.theme--documenter-dark .hero.is-danger .navbar-link { + color: rgba(255, 255, 255, 0.7); } + html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active, + html.theme--documenter-dark .hero.is-danger .navbar-link:hover, + html.theme--documenter-dark .hero.is-danger .navbar-link.is-active { + background-color: #86170b; + color: #fff; } + html.theme--documenter-dark .hero.is-danger .tabs a { + color: #fff; + opacity: 0.9; } + html.theme--documenter-dark .hero.is-danger .tabs a:hover { + opacity: 1; } + html.theme--documenter-dark .hero.is-danger .tabs li.is-active a { + opacity: 1; } + html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a { + color: #fff; } + html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #9e1b0d; } + html.theme--documenter-dark .hero.is-danger.is-bold { + background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } } + html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body { + padding-bottom: 1.5rem; + padding-top: 1.5rem; } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .hero.is-medium .hero-body { + padding-bottom: 9rem; + padding-top: 9rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .hero.is-large .hero-body { + padding-bottom: 18rem; + padding-top: 18rem; } } + html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body { + align-items: center; + display: flex; } + html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container { + flex-grow: 1; + flex-shrink: 1; } + html.theme--documenter-dark .hero.is-halfheight { + min-height: 50vh; } + html.theme--documenter-dark .hero.is-fullheight { + min-height: 100vh; } + html.theme--documenter-dark .hero-video { + overflow: hidden; } + html.theme--documenter-dark .hero-video video { + left: 50%; + min-height: 100%; + min-width: 100%; + position: absolute; + top: 50%; + transform: translate3d(-50%, -50%, 0); } + html.theme--documenter-dark .hero-video.is-transparent { + opacity: 0.3; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero-video { + display: none; } } + html.theme--documenter-dark .hero-buttons { + margin-top: 1.5rem; } + @media screen and (max-width: 768px) { + html.theme--documenter-dark .hero-buttons .button { + display: flex; } + html.theme--documenter-dark .hero-buttons .button:not(:last-child) { + margin-bottom: 0.75rem; } } + @media screen and (min-width: 769px), print { + html.theme--documenter-dark .hero-buttons { + display: flex; + justify-content: center; } + html.theme--documenter-dark .hero-buttons .button:not(:last-child) { + margin-right: 1.5rem; } } + html.theme--documenter-dark .hero-head, + html.theme--documenter-dark .hero-foot { + flex-grow: 0; + flex-shrink: 0; } + html.theme--documenter-dark .hero-body { + flex-grow: 1; + flex-shrink: 0; + padding: 3rem 1.5rem; } + html.theme--documenter-dark .section { + padding: 3rem 1.5rem; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark .section.is-medium { + padding: 9rem 1.5rem; } + html.theme--documenter-dark .section.is-large { + padding: 18rem 1.5rem; } } + html.theme--documenter-dark .footer { + background-color: #282f2f; + padding: 3rem 1.5rem 6rem; } + html.theme--documenter-dark hr { + height: 1px; } + html.theme--documenter-dark h6 { + text-transform: uppercase; + letter-spacing: 0.5px; } + html.theme--documenter-dark .hero { + background-color: #343c3d; } + html.theme--documenter-dark a { + transition: all 200ms ease; } + html.theme--documenter-dark .button { + transition: all 200ms ease; + border-width: 1px; + color: white; } + html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus { + box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); } + html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover { + background-color: white; } + html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus { + border-color: white; + box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); } + html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover { + background-color: #1d1d1d; } + html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus { + border-color: #0a0a0a; + box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); } + html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover { + background-color: white; } + html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus { + border-color: #ecf0f1; + box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); } + html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover { + background-color: #3a4344; } + html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus { + border-color: #282f2f; + box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); } + html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover { + background-color: #436d9a; } + html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus { + border-color: #375a7f; + box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); } + html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover { + background-color: #1fdeb8; } + html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus { + border-color: #1abc9c; + box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); } + html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover { + background-color: #0363a3; } + html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus { + border-color: #024c7d; + box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); } + html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover { + background-color: #00aa48; } + html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus { + border-color: #008438; + box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); } + html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover { + background-color: #d39e00; } + html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus { + border-color: #ad8100; + box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); } + html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover { + background-color: #c12110; } + html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus { + border-color: #9e1b0d; + box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); } + html.theme--documenter-dark .label { + color: #dbdee0; } + html.theme--documenter-dark .button, + html.theme--documenter-dark .control.has-icons-left .icon, + html.theme--documenter-dark .control.has-icons-right .icon, + html.theme--documenter-dark .input, + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark .pagination-ellipsis, + html.theme--documenter-dark .pagination-link, + html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark .pagination-previous, + html.theme--documenter-dark .select, + html.theme--documenter-dark .select select, + html.theme--documenter-dark .textarea { + height: 2.5em; } + + html.theme--documenter-dark .input, + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark .textarea { + transition: all 200ms ease; + box-shadow: none; + border-width: 1px; + padding-left: 1em; + padding-right: 1em; } + html.theme--documenter-dark .select:after, + html.theme--documenter-dark .select select { + border-width: 1px; } + html.theme--documenter-dark .control.has-addons .button, + html.theme--documenter-dark .control.has-addons .input, + html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input, + html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input, + html.theme--documenter-dark .control.has-addons .select { + margin-right: -1px; } + html.theme--documenter-dark .notification { + background-color: #343c3d; } + html.theme--documenter-dark .card { + box-shadow: none; + border: 1px solid #343c3d; + background-color: #282f2f; + border-radius: 0.4em; } + html.theme--documenter-dark .card .card-image img { + border-radius: 0.4em 0.4em 0 0; } + html.theme--documenter-dark .card .card-header { + box-shadow: none; + background-color: rgba(18, 18, 18, 0.2); + border-radius: 0.4em 0.4em 0 0; } + html.theme--documenter-dark .card .card-footer { + background-color: rgba(18, 18, 18, 0.2); } + html.theme--documenter-dark .card .card-footer, + html.theme--documenter-dark .card .card-footer-item { + border-width: 1px; + border-color: #343c3d; } + html.theme--documenter-dark .notification.is-white a:not(.button) { + color: #0a0a0a; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-black a:not(.button) { + color: white; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-light a:not(.button) { + color: #282f2f; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) { + color: #ecf0f1; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-link a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-info a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-success a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-warning a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .notification.is-danger a:not(.button) { + color: #fff; + text-decoration: underline; } + html.theme--documenter-dark .tag, html.theme--documenter-dark .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .content kbd { + border-radius: 0.4em; } + html.theme--documenter-dark .menu-list a { + transition: all 300ms ease; } + html.theme--documenter-dark .modal-card-body { + background-color: #282f2f; } + html.theme--documenter-dark .modal-card-foot, + html.theme--documenter-dark .modal-card-head { + border-color: #343c3d; } + html.theme--documenter-dark .message-header { + font-weight: 700; + background-color: #343c3d; + color: white; } + html.theme--documenter-dark .message-body { + border-width: 1px; + border-color: #343c3d; } + html.theme--documenter-dark .navbar { + border-radius: 0.4em; } + html.theme--documenter-dark .navbar.is-transparent { + background: none; } + html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { + background-color: #1abc9c; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark .navbar .navbar-menu { + background-color: #375a7f; + border-radius: 0 0 0.4em 0.4em; } } + html.theme--documenter-dark .hero .navbar, + html.theme--documenter-dark body > .navbar { + border-radius: 0; } + html.theme--documenter-dark .pagination-link, + html.theme--documenter-dark .pagination-next, + html.theme--documenter-dark .pagination-previous { + border-width: 1px; } + html.theme--documenter-dark .panel-block, + html.theme--documenter-dark .panel-heading, + html.theme--documenter-dark .panel-tabs { + border-width: 1px; } + html.theme--documenter-dark .panel-block:first-child, + html.theme--documenter-dark .panel-heading:first-child, + html.theme--documenter-dark .panel-tabs:first-child { + border-top-width: 1px; } + html.theme--documenter-dark .panel-heading { + font-weight: 700; } + html.theme--documenter-dark .panel-tabs a { + border-width: 1px; + margin-bottom: -1px; } + html.theme--documenter-dark .panel-tabs a.is-active { + border-bottom-color: #17a689; } + html.theme--documenter-dark .panel-block:hover { + color: #1dd2af; } + html.theme--documenter-dark .panel-block:hover .panel-icon { + color: #1dd2af; } + html.theme--documenter-dark .panel-block.is-active .panel-icon { + color: #17a689; } + html.theme--documenter-dark .tabs a { + border-bottom-width: 1px; + margin-bottom: -1px; } + html.theme--documenter-dark .tabs ul { + border-bottom-width: 1px; } + html.theme--documenter-dark .tabs.is-boxed a { + border-width: 1px; } + html.theme--documenter-dark .tabs.is-boxed li.is-active a { + background-color: #1f2424; } + html.theme--documenter-dark .tabs.is-toggle li a { + border-width: 1px; + margin-bottom: 0; } + html.theme--documenter-dark .tabs.is-toggle li + li { + margin-left: -1px; } + html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover { + background-color: transparent; } + html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited { + color: #f2f2f2; } + html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink { + visibility: hidden; + vertical-align: middle; + margin-left: 0.5em; + font-size: 0.7rem; } + html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + content: "\f0c1"; } + html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink { + visibility: visible; } + html.theme--documenter-dark .docs-light-only { + display: none !important; } + html.theme--documenter-dark .admonition { + background-color: #282f2f; + border-style: solid; + border-width: 1px; + border-color: #5e6d6f; + border-radius: 0.4em; + font-size: 15px; } + html.theme--documenter-dark .admonition strong { + color: currentColor; } + html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition { + font-size: 0.85em; } + html.theme--documenter-dark .admonition.is-medium { + font-size: 1.25rem; } + html.theme--documenter-dark .admonition.is-large { + font-size: 1.5rem; } + html.theme--documenter-dark .admonition.is-default { + background-color: #282f2f; + border-color: #5e6d6f; } + html.theme--documenter-dark .admonition.is-default > .admonition-header { + background-color: #5e6d6f; } + html.theme--documenter-dark .admonition.is-info { + background-color: #282f2f; + border-color: #024c7d; } + html.theme--documenter-dark .admonition.is-info > .admonition-header { + background-color: #024c7d; } + html.theme--documenter-dark .admonition.is-success { + background-color: #282f2f; + border-color: #008438; } + html.theme--documenter-dark .admonition.is-success > .admonition-header { + background-color: #008438; } + html.theme--documenter-dark .admonition.is-warning { + background-color: #282f2f; + border-color: #ad8100; } + html.theme--documenter-dark .admonition.is-warning > .admonition-header { + background-color: #ad8100; } + html.theme--documenter-dark .admonition.is-danger { + background-color: #282f2f; + border-color: #9e1b0d; } + html.theme--documenter-dark .admonition.is-danger > .admonition-header { + background-color: #9e1b0d; } + html.theme--documenter-dark .admonition.is-compat { + background-color: #282f2f; + border-color: #137886; } + html.theme--documenter-dark .admonition.is-compat > .admonition-header { + background-color: #137886; } + html.theme--documenter-dark .admonition-header { + background-color: #5e6d6f; + align-items: center; + font-weight: 700; + justify-content: space-between; + line-height: 1.25; + padding: 0.75em; + position: relative; } + html.theme--documenter-dark .admonition-header:before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + margin-right: 0.75em; + content: "\f06a"; } + html.theme--documenter-dark .admonition-body { + color: #fff; + padding: 1em 1.25em; } + html.theme--documenter-dark .admonition-body pre { + background-color: #282f2f; } + html.theme--documenter-dark .admonition-body code { + background-color: rgba(255, 255, 255, 0.05); } + html.theme--documenter-dark .docstring { + margin-bottom: 1em; + background-color: transparent; + border: 1px solid #5e6d6f; + box-shadow: none; + max-width: 100%; } + html.theme--documenter-dark .docstring > header { + display: flex; + flex-grow: 1; + align-items: stretch; + padding: 0.75rem; + background-color: #282f2f; + box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); + box-shadow: none; + border-bottom: 1px solid #5e6d6f; } + html.theme--documenter-dark .docstring > header code { + background-color: transparent; } + html.theme--documenter-dark .docstring > header .docstring-binding { + margin-right: 0.3em; } + html.theme--documenter-dark .docstring > header .docstring-category { + margin-left: 0.3em; } + html.theme--documenter-dark .docstring > section { + position: relative; + padding: 1rem 1.25rem; + border-bottom: 1px solid #5e6d6f; } + html.theme--documenter-dark .docstring > section:last-child { + border-bottom: none; } + html.theme--documenter-dark .docstring > section > a.docs-sourcelink { + transition: opacity 0.3s; + opacity: 0; + position: absolute; + right: 0.625rem; + bottom: 0.5rem; } + html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus { + opacity: 1 !important; } + html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink { + opacity: 0.2; } + html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink { + opacity: 0.2; } + html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink { + opacity: 1; } + html.theme--documenter-dark .documenter-example-output { + background-color: #1f2424; } + html.theme--documenter-dark .outdated-warning-overlay { + position: fixed; + top: 0; + left: 0; + right: 0; + box-shadow: 0 0 10px rgba(0, 0, 0, 0.3); + z-index: 999; + background-color: #282f2f; + border-bottom: 3px solid #9e1b0d; + padding: 10px 35px; + text-align: center; + font-size: 15px; } + html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer { + position: absolute; + top: calc(50% - 10px); + right: 18px; + cursor: pointer; + width: 12px; } + html.theme--documenter-dark .outdated-warning-overlay a { + color: #1abc9c; } + html.theme--documenter-dark .outdated-warning-overlay a:hover { + color: #1dd2af; } + html.theme--documenter-dark .content pre { + border: 1px solid #5e6d6f; } + html.theme--documenter-dark .content code { + font-weight: inherit; } + html.theme--documenter-dark .content a code { + color: #1abc9c; } + html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code { + color: #f2f2f2; } + html.theme--documenter-dark .content table { + display: block; + width: initial; + max-width: 100%; + overflow-x: auto; } + html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child { + margin-top: 0; } + html.theme--documenter-dark pre, html.theme--documenter-dark code { + font-variant-ligatures: no-contextual; } + html.theme--documenter-dark .breadcrumb a.is-disabled { + cursor: default; + pointer-events: none; } + html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover { + color: #f2f2f2; } + html.theme--documenter-dark .hljs { + background: initial !important; + padding: initial !important; } + html.theme--documenter-dark .katex .katex-mathml { + top: 0; + right: 0; } + html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display { + margin: 0.5em 0 !important; } + html.theme--documenter-dark html { + -moz-osx-font-smoothing: auto; + -webkit-font-smoothing: auto; } + html.theme--documenter-dark li.no-marker { + list-style: none; } + html.theme--documenter-dark #documenter .docs-main > article { + overflow-wrap: break-word; } + html.theme--documenter-dark #documenter .docs-main > article .math-container { + overflow-x: auto; + overflow-y: hidden; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark #documenter .docs-main { + max-width: 52rem; + margin-left: 20rem; + padding-right: 1rem; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark #documenter .docs-main { + width: 100%; } + html.theme--documenter-dark #documenter .docs-main > article { + max-width: 52rem; + margin-left: auto; + margin-right: auto; + margin-bottom: 1rem; + padding: 0 1rem; } + html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav { + max-width: 100%; + width: 100%; + margin: 0; } } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar { + background-color: #1f2424; + border-bottom: 1px solid #5e6d6f; + z-index: 2; + min-height: 4rem; + margin-bottom: 1rem; + display: flex; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb { + flex-grow: 1; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right { + display: flex; + white-space: nowrap; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { + display: inline-block; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label { + padding: 0; + margin-left: 0.3em; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button { + margin: auto 0 auto 1rem; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { + font-size: 1.5rem; + margin: auto 0 auto 1rem; } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * { + margin: auto 0; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark #documenter .docs-main header.docs-navbar { + position: sticky; + top: 0; + padding: 0 1rem; + /* For Headroom.js */ + transition-property: top, box-shadow; + -webkit-transition-property: top, box-shadow; + /* Safari */ + transition-duration: 0.3s; + -webkit-transition-duration: 0.3s; + /* Safari */ } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top { + box-shadow: 0.2rem 0rem 0.4rem #171717; + transition-duration: 0.7s; + -webkit-transition-duration: 0.7s; + /* Safari */ } + html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom { + top: -4.5rem; + transition-duration: 0.7s; + -webkit-transition-duration: 0.7s; + /* Safari */ } } + html.theme--documenter-dark #documenter .docs-main section.footnotes { + border-top: 1px solid #5e6d6f; } + html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child { + margin-right: 1em; + margin-bottom: 0.4em; } + html.theme--documenter-dark #documenter .docs-main .docs-footer { + display: flex; + flex-wrap: wrap; + margin-left: 0; + margin-right: 0; + border-top: 1px solid #5e6d6f; + padding-top: 1rem; + padding-bottom: 1rem; } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark #documenter .docs-main .docs-footer { + padding-left: 1rem; + padding-right: 1rem; } } + html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage { + flex-grow: 1; } + html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage { + text-align: right; } + html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break { + flex-basis: 100%; + height: 0; } + html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message { + font-size: 0.8em; + margin: 0.5em auto 0 auto; + text-align: center; } + html.theme--documenter-dark #documenter .docs-sidebar { + display: flex; + flex-direction: column; + color: #fff; + background-color: #282f2f; + border-right: 1px solid #5e6d6f; + padding: 0; + flex: 0 0 18rem; + z-index: 5; + font-size: 15px; + position: fixed; + left: -18rem; + width: 18rem; + height: 100%; + transition: left 0.3s; + /* Setting up a nicer theme style for the scrollbar */ } + html.theme--documenter-dark #documenter .docs-sidebar.visible { + left: 0; + box-shadow: 0.4rem 0rem 0.8rem #171717; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark #documenter .docs-sidebar.visible { + box-shadow: none; } } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark #documenter .docs-sidebar { + left: 0; + top: 0; } } + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo { + margin-top: 1rem; + padding: 0 1rem; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img { + max-height: 6rem; + margin: auto; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name { + flex-shrink: 0; + font-size: 1.5rem; + font-weight: 700; + text-align: center; + white-space: nowrap; + overflow: hidden; + padding: 0.5rem 0; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit { + max-width: 16.2rem; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover { + color: #fff; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector { + border-top: 1px solid #5e6d6f; + display: none; + padding: 0.5rem; } + html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible { + display: flex; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu { + flex-grow: 1; + user-select: none; + border-top: 1px solid #5e6d6f; + padding-bottom: 1.5rem; + /* Managing collapsible submenus */ } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem { + font-weight: bold; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li { + font-size: 14.25px; + margin-left: 1em; + border-left: 1px solid #5e6d6f; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle { + display: none; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed { + display: none; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed { + display: block; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem { + display: flex; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label { + flex-grow: 2; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron { + display: inline-block; + font-style: normal; + font-variant: normal; + text-rendering: auto; + line-height: 1; + font-size: 11.25px; + margin-left: 1rem; + margin-top: auto; + margin-bottom: auto; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + content: "\f054"; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before { + content: "\f078"; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem { + display: block; + padding: 0.5rem 0.5rem; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover { + color: #fff; + background: #282f2f; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover { + color: #fff; + background-color: #32393a; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active { + border-top: 1px solid #5e6d6f; + border-bottom: 1px solid #5e6d6f; + background-color: #1f2424; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover { + background-color: #1f2424; + color: #fff; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover { + background-color: #32393a; + color: #fff; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child { + border-top: none; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal { + margin: 0 0.5rem 0.5rem; + border-top: 1px solid #5e6d6f; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li { + font-size: 12.75px; + border-left: none; + margin-left: 0; + margin-top: 0.5rem; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem { + width: 100%; + padding: 0; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before { + content: "⚬"; + margin-right: 0.4em; } + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search { + margin: auto; + margin-top: 0.5rem; + margin-bottom: 0.5rem; } + html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { + width: 14.4rem; } + @media screen and (min-width: 1056px) { + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu { + overflow-y: auto; + -webkit-overflow-scroll: touch; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar { + width: .3rem; + background: none; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb { + border-radius: 5px 0px 0px 5px; + background: #3b4445; } + html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover { + background: #4e5a5c; } } + @media screen and (max-width: 1055px) { + html.theme--documenter-dark #documenter .docs-sidebar { + overflow-y: auto; + -webkit-overflow-scroll: touch; } + html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar { + width: .3rem; + background: none; } + html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb { + border-radius: 5px 0px 0px 5px; + background: #3b4445; } + html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover { + background: #4e5a5c; } } + html.theme--documenter-dark #documenter .docs-main #documenter-search-info { + margin-bottom: 1rem; } + html.theme--documenter-dark #documenter .docs-main #documenter-search-results { + list-style-type: circle; + list-style-position: outside; } + html.theme--documenter-dark #documenter .docs-main #documenter-search-results li { + margin-left: 2rem; } + html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight { + background-color: yellow; } + html.theme--documenter-dark { + background-color: #1f2424; + font-size: 16px; + min-width: 300px; + overflow-x: auto; + overflow-y: scroll; + text-rendering: optimizeLegibility; + text-size-adjust: 100%; } + html.theme--documenter-dark .ansi span.sgr1 { + font-weight: bolder; } + html.theme--documenter-dark .ansi span.sgr2 { + font-weight: lighter; } + html.theme--documenter-dark .ansi span.sgr3 { + font-style: italic; } + html.theme--documenter-dark .ansi span.sgr4 { + text-decoration: underline; } + html.theme--documenter-dark .ansi span.sgr7 { + color: #1f2424; + background-color: #fff; } + html.theme--documenter-dark .ansi span.sgr8 { + color: transparent; } + html.theme--documenter-dark .ansi span.sgr8 span { + color: transparent; } + html.theme--documenter-dark .ansi span.sgr9 { + text-decoration: line-through; } + html.theme--documenter-dark .ansi span.sgr30 { + color: #242424; } + html.theme--documenter-dark .ansi span.sgr31 { + color: #f6705f; } + html.theme--documenter-dark .ansi span.sgr32 { + color: #4fb43a; } + html.theme--documenter-dark .ansi span.sgr33 { + color: #f4c72f; } + html.theme--documenter-dark .ansi span.sgr34 { + color: #7587f0; } + html.theme--documenter-dark .ansi span.sgr35 { + color: #bc89d3; } + html.theme--documenter-dark .ansi span.sgr36 { + color: #49b6ca; } + html.theme--documenter-dark .ansi span.sgr37 { + color: #b3bdbe; } + html.theme--documenter-dark .ansi span.sgr40 { + background-color: #242424; } + html.theme--documenter-dark .ansi span.sgr41 { + background-color: #f6705f; } + html.theme--documenter-dark .ansi span.sgr42 { + background-color: #4fb43a; } + html.theme--documenter-dark .ansi span.sgr43 { + background-color: #f4c72f; } + html.theme--documenter-dark .ansi span.sgr44 { + background-color: #7587f0; } + html.theme--documenter-dark .ansi span.sgr45 { + background-color: #bc89d3; } + html.theme--documenter-dark .ansi span.sgr46 { + background-color: #49b6ca; } + html.theme--documenter-dark .ansi span.sgr47 { + background-color: #b3bdbe; } + html.theme--documenter-dark .ansi span.sgr90 { + color: #92a0a2; } + html.theme--documenter-dark .ansi span.sgr91 { + color: #ff8674; } + html.theme--documenter-dark .ansi span.sgr92 { + color: #79d462; } + html.theme--documenter-dark .ansi span.sgr93 { + color: #ffe76b; } + html.theme--documenter-dark .ansi span.sgr94 { + color: #8a98ff; } + html.theme--documenter-dark .ansi span.sgr95 { + color: #d2a4e6; } + html.theme--documenter-dark .ansi span.sgr96 { + color: #6bc8db; } + html.theme--documenter-dark .ansi span.sgr97 { + color: #ecf0f1; } + html.theme--documenter-dark .ansi span.sgr100 { + background-color: #92a0a2; } + html.theme--documenter-dark .ansi span.sgr101 { + background-color: #ff8674; } + html.theme--documenter-dark .ansi span.sgr102 { + background-color: #79d462; } + html.theme--documenter-dark .ansi span.sgr103 { + background-color: #ffe76b; } + html.theme--documenter-dark .ansi span.sgr104 { + background-color: #8a98ff; } + html.theme--documenter-dark .ansi span.sgr105 { + background-color: #d2a4e6; } + html.theme--documenter-dark .ansi span.sgr106 { + background-color: #6bc8db; } + html.theme--documenter-dark .ansi span.sgr107 { + background-color: #ecf0f1; } + html.theme--documenter-dark code.language-julia-repl > span.hljs-meta { + color: #4fb43a; + font-weight: bolder; } + html.theme--documenter-dark .hljs { + background: #2b2b2b; + color: #f8f8f2; } + html.theme--documenter-dark .hljs-comment, + html.theme--documenter-dark .hljs-quote { + color: #d4d0ab; } + html.theme--documenter-dark .hljs-variable, + html.theme--documenter-dark .hljs-template-variable, + html.theme--documenter-dark .hljs-tag, + html.theme--documenter-dark .hljs-name, + html.theme--documenter-dark .hljs-selector-id, + html.theme--documenter-dark .hljs-selector-class, + html.theme--documenter-dark .hljs-regexp, + html.theme--documenter-dark .hljs-deletion { + color: #ffa07a; } + html.theme--documenter-dark .hljs-number, + html.theme--documenter-dark .hljs-built_in, + html.theme--documenter-dark .hljs-literal, + html.theme--documenter-dark .hljs-type, + html.theme--documenter-dark .hljs-params, + html.theme--documenter-dark .hljs-meta, + html.theme--documenter-dark .hljs-link { + color: #f5ab35; } + html.theme--documenter-dark .hljs-attribute { + color: #ffd700; } + html.theme--documenter-dark .hljs-string, + html.theme--documenter-dark .hljs-symbol, + html.theme--documenter-dark .hljs-bullet, + html.theme--documenter-dark .hljs-addition { + color: #abe338; } + html.theme--documenter-dark .hljs-title, + html.theme--documenter-dark .hljs-section { + color: #00e0e0; } + html.theme--documenter-dark .hljs-keyword, + html.theme--documenter-dark .hljs-selector-tag { + color: #dcc6e0; } + html.theme--documenter-dark .hljs-emphasis { + font-style: italic; } + html.theme--documenter-dark .hljs-strong { + font-weight: bold; } + @media screen and (-ms-high-contrast: active) { + html.theme--documenter-dark .hljs-addition, + html.theme--documenter-dark .hljs-attribute, + html.theme--documenter-dark .hljs-built_in, + html.theme--documenter-dark .hljs-bullet, + html.theme--documenter-dark .hljs-comment, + html.theme--documenter-dark .hljs-link, + html.theme--documenter-dark .hljs-literal, + html.theme--documenter-dark .hljs-meta, + html.theme--documenter-dark .hljs-number, + html.theme--documenter-dark .hljs-params, + html.theme--documenter-dark .hljs-string, + html.theme--documenter-dark .hljs-symbol, + html.theme--documenter-dark .hljs-type, + html.theme--documenter-dark .hljs-quote { + color: highlight; } + html.theme--documenter-dark .hljs-keyword, + html.theme--documenter-dark .hljs-selector-tag { + font-weight: bold; } } + html.theme--documenter-dark .hljs-subst { + color: #f8f8f2; } diff --git a/dev/assets/themes/documenter-light.css b/dev/assets/themes/documenter-light.css new file mode 100644 index 0000000..14f6a0e --- /dev/null +++ b/dev/assets/themes/documenter-light.css @@ -0,0 +1,7817 @@ +@charset "UTF-8"; +/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */ +@keyframes spinAround { + from { + transform: rotate(0deg); } + to { + transform: rotate(359deg); } } + +.delete, .modal-close, .is-unselectable, .button, .file, .breadcrumb, .pagination-previous, +.pagination-next, +.pagination-link, +.pagination-ellipsis, .tabs { + -webkit-touch-callout: none; + -webkit-user-select: none; + -moz-user-select: none; + -ms-user-select: none; + user-select: none; } + +.select:not(.is-multiple):not(.is-loading)::after, .navbar-link:not(.is-arrowless)::after { + border: 3px solid transparent; + border-radius: 2px; + border-right: 0; + border-top: 0; + content: " "; + display: block; + height: 0.625em; + margin-top: -0.4375em; + pointer-events: none; + position: absolute; + top: 50%; + transform: rotate(-45deg); + transform-origin: center; + width: 0.625em; } + +.box:not(:last-child), .content:not(:last-child), .notification:not(:last-child), .progress:not(:last-child), .table:not(:last-child), .table-container:not(:last-child), .title:not(:last-child), +.subtitle:not(:last-child), .block:not(:last-child), .highlight:not(:last-child), .breadcrumb:not(:last-child), .level:not(:last-child), .list:not(:last-child), .message:not(:last-child), .tabs:not(:last-child), .admonition:not(:last-child) { + margin-bottom: 1.5rem; } + +.delete, .modal-close { + -moz-appearance: none; + -webkit-appearance: none; + background-color: rgba(10, 10, 10, 0.2); + border: none; + border-radius: 290486px; + cursor: pointer; + pointer-events: auto; + display: inline-block; + flex-grow: 0; + flex-shrink: 0; + font-size: 0; + height: 20px; + max-height: 20px; + max-width: 20px; + min-height: 20px; + min-width: 20px; + outline: none; + position: relative; + vertical-align: top; + width: 20px; } + .delete::before, .modal-close::before, .delete::after, .modal-close::after { + background-color: white; + content: ""; + display: block; + left: 50%; + position: absolute; + top: 50%; + transform: translateX(-50%) translateY(-50%) rotate(45deg); + transform-origin: center center; } + .delete::before, .modal-close::before { + height: 2px; + width: 50%; } + .delete::after, .modal-close::after { + height: 50%; + width: 2px; } + .delete:hover, .modal-close:hover, .delete:focus, .modal-close:focus { + background-color: rgba(10, 10, 10, 0.3); } + .delete:active, .modal-close:active { + background-color: rgba(10, 10, 10, 0.4); } + .is-small.delete, #documenter .docs-sidebar form.docs-search > input.delete, .is-small.modal-close, #documenter .docs-sidebar form.docs-search > input.modal-close { + height: 16px; + max-height: 16px; + max-width: 16px; + min-height: 16px; + min-width: 16px; + width: 16px; } + .is-medium.delete, .is-medium.modal-close { + height: 24px; + max-height: 24px; + max-width: 24px; + min-height: 24px; + min-width: 24px; + width: 24px; } + .is-large.delete, .is-large.modal-close { + height: 32px; + max-height: 32px; + max-width: 32px; + min-height: 32px; + min-width: 32px; + width: 32px; } + +.button.is-loading::after, .loader, .select.is-loading::after, .control.is-loading::after { + animation: spinAround 500ms infinite linear; + border: 2px solid #dbdbdb; + border-radius: 290486px; + border-right-color: transparent; + border-top-color: transparent; + content: ""; + display: block; + height: 1em; + position: relative; + width: 1em; } + +.is-overlay, .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img, +.image.is-square .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img, +.image.is-1by1 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img, +.image.is-5by4 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img, +.image.is-4by3 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img, +.image.is-3by2 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img, +.image.is-5by3 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img, +.image.is-16by9 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img, +.image.is-2by1 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img, +.image.is-3by1 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img, +.image.is-4by5 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img, +.image.is-3by4 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img, +.image.is-2by3 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img, +.image.is-3by5 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img, +.image.is-9by16 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img, +.image.is-1by2 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img, +.image.is-1by3 .has-ratio, +#documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio, .modal, .modal-background, .hero-video { + bottom: 0; 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} + .button[disabled], .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .textarea[disabled], .select select[disabled], .file-cta[disabled], + .file-name[disabled], .pagination-previous[disabled], + .pagination-next[disabled], + .pagination-link[disabled], + .pagination-ellipsis[disabled], + fieldset[disabled] .button, + fieldset[disabled] .input, + fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, + #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, + fieldset[disabled] .textarea, + fieldset[disabled] .select select, + .select fieldset[disabled] select, + fieldset[disabled] .file-cta, + fieldset[disabled] .file-name, + fieldset[disabled] .pagination-previous, + fieldset[disabled] .pagination-next, + fieldset[disabled] .pagination-link, + fieldset[disabled] .pagination-ellipsis { + cursor: not-allowed; } + +/*! minireset.css v0.0.4 | MIT License | github.com/jgthms/minireset.css */ +html, +body, +p, +ol, +ul, +li, +dl, +dt, +dd, +blockquote, +figure, +fieldset, +legend, +textarea, +pre, +iframe, +hr, +h1, +h2, +h3, +h4, +h5, +h6 { + margin: 0; 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} } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-centered-tablet-only { + text-align: center !important; } } + +@media screen and (max-width: 1055px) { + .has-text-centered-touch { + text-align: center !important; } } + +@media screen and (min-width: 1056px) { + .has-text-centered-desktop { + text-align: center !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-centered-desktop-only { + text-align: center !important; } } + +@media screen and (min-width: 1216px) { + .has-text-centered-widescreen { + text-align: center !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-centered-widescreen-only { + text-align: center !important; } } + +@media screen and (min-width: 1408px) { + .has-text-centered-fullhd { + text-align: center !important; } } + +@media screen and (max-width: 768px) { + .has-text-justified-mobile { + text-align: justify !important; } } + +@media screen and (min-width: 769px), print { + .has-text-justified-tablet { + text-align: justify !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-justified-tablet-only { + text-align: justify !important; } } + +@media screen and (max-width: 1055px) { + .has-text-justified-touch { + text-align: justify !important; } } + +@media screen and (min-width: 1056px) { + .has-text-justified-desktop { + text-align: justify !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-justified-desktop-only { + text-align: justify !important; } } + +@media screen and (min-width: 1216px) { + .has-text-justified-widescreen { + text-align: justify !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-justified-widescreen-only { + text-align: justify !important; } } + +@media screen and (min-width: 1408px) { + .has-text-justified-fullhd { + text-align: justify !important; } } + +@media screen and (max-width: 768px) { + .has-text-left-mobile { + text-align: left !important; } } + +@media screen and (min-width: 769px), print { + .has-text-left-tablet { + text-align: left !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-left-tablet-only { + text-align: left !important; } } + +@media screen and (max-width: 1055px) { + .has-text-left-touch { + text-align: left !important; } } + +@media screen and (min-width: 1056px) { + .has-text-left-desktop { + text-align: left !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-left-desktop-only { + text-align: left !important; } } + +@media screen and (min-width: 1216px) { + .has-text-left-widescreen { + text-align: left !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-left-widescreen-only { + text-align: left !important; } } + +@media screen and (min-width: 1408px) { + .has-text-left-fullhd { + text-align: left !important; } } + +@media screen and (max-width: 768px) { + .has-text-right-mobile { + text-align: right !important; } } + +@media screen and (min-width: 769px), print { + .has-text-right-tablet { + text-align: right !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .has-text-right-tablet-only { + text-align: right !important; } } + +@media screen and (max-width: 1055px) { + .has-text-right-touch { + text-align: right !important; } } + +@media screen and (min-width: 1056px) { + .has-text-right-desktop { + text-align: right !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .has-text-right-desktop-only { + text-align: right !important; } } + +@media screen and (min-width: 1216px) { + .has-text-right-widescreen { + text-align: right !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .has-text-right-widescreen-only { + text-align: right !important; } } + +@media screen and (min-width: 1408px) { + .has-text-right-fullhd { + text-align: right !important; } } + +.is-capitalized { + text-transform: capitalize !important; } + +.is-lowercase { + text-transform: lowercase !important; } + +.is-uppercase { + text-transform: uppercase !important; } + +.is-italic { + font-style: italic !important; } + +.has-text-white { + color: white !important; } + +a.has-text-white:hover, a.has-text-white:focus { + color: #e6e6e6 !important; } + +.has-background-white { + background-color: white !important; } + +.has-text-black { + color: #0a0a0a !important; } + +a.has-text-black:hover, a.has-text-black:focus { + color: black !important; } + +.has-background-black { + background-color: #0a0a0a !important; } + +.has-text-light { + color: whitesmoke !important; } + +a.has-text-light:hover, a.has-text-light:focus { + color: #dbdbdb !important; } + +.has-background-light { + background-color: whitesmoke !important; } + +.has-text-dark { + color: #363636 !important; } + +a.has-text-dark:hover, a.has-text-dark:focus { + color: #1c1c1c !important; } + +.has-background-dark { + background-color: #363636 !important; } + +.has-text-primary { + color: #4eb5de !important; } + +a.has-text-primary:hover, a.has-text-primary:focus { + color: #27a1d2 !important; } + +.has-background-primary { + background-color: #4eb5de !important; } + +.has-text-link { + color: #2e63b8 !important; } + +a.has-text-link:hover, a.has-text-link:focus { + color: #244d8f !important; } + +.has-background-link { + background-color: #2e63b8 !important; } + +.has-text-info { + color: #209cee !important; } + +a.has-text-info:hover, a.has-text-info:focus { + color: #1081cb !important; } + +.has-background-info { + background-color: #209cee !important; } + +.has-text-success { + color: #22c35b !important; } + +a.has-text-success:hover, a.has-text-success:focus { + color: #1a9847 !important; } + +.has-background-success { + background-color: #22c35b !important; } + +.has-text-warning { + color: #ffdd57 !important; } + +a.has-text-warning:hover, a.has-text-warning:focus { + color: #ffd324 !important; } + +.has-background-warning { + background-color: #ffdd57 !important; } + +.has-text-danger { + color: #da0b00 !important; } + +a.has-text-danger:hover, a.has-text-danger:focus { + color: #a70800 !important; } + +.has-background-danger { + background-color: #da0b00 !important; } + +.has-text-black-bis { + color: #121212 !important; } + +.has-background-black-bis { + background-color: #121212 !important; } + +.has-text-black-ter { + color: #242424 !important; } + +.has-background-black-ter { + background-color: #242424 !important; } + +.has-text-grey-darker { + color: #363636 !important; } + +.has-background-grey-darker { + background-color: #363636 !important; } + +.has-text-grey-dark { + color: #4a4a4a !important; } + +.has-background-grey-dark { + background-color: #4a4a4a !important; } + +.has-text-grey { + color: #6b6b6b !important; } + +.has-background-grey { + background-color: #6b6b6b !important; } + +.has-text-grey-light { + color: #b5b5b5 !important; } + +.has-background-grey-light { + background-color: #b5b5b5 !important; } + +.has-text-grey-lighter { + color: #dbdbdb !important; } + +.has-background-grey-lighter { + background-color: #dbdbdb !important; } + +.has-text-white-ter { + color: whitesmoke !important; } + +.has-background-white-ter { + background-color: whitesmoke !important; } + +.has-text-white-bis { + color: #fafafa !important; } + +.has-background-white-bis { + background-color: #fafafa !important; } + +.has-text-weight-light { + font-weight: 300 !important; } + +.has-text-weight-normal { + font-weight: 400 !important; } + +.has-text-weight-medium { + font-weight: 500 !important; } + +.has-text-weight-semibold { + font-weight: 600 !important; } + +.has-text-weight-bold { + font-weight: 700 !important; } + +.is-family-primary { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-secondary { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-sans-serif { + font-family: "Lato Medium", -apple-system, BlinkMacSystemFont, "Segoe UI", "Helvetica Neue", "Helvetica", "Arial", sans-serif !important; } + +.is-family-monospace { + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } + +.is-family-code { + font-family: "JuliaMono", "SFMono-Regular", "Menlo", "Consolas", "Liberation Mono", "DejaVu Sans Mono", monospace !important; } + +.is-block { + display: block !important; } + +@media screen and (max-width: 768px) { + .is-block-mobile { + display: block !important; } } + +@media screen and (min-width: 769px), print { + .is-block-tablet { + display: block !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-block-tablet-only { + display: block !important; } } + +@media screen and (max-width: 1055px) { + .is-block-touch { + display: block !important; } } + +@media screen and (min-width: 1056px) { + .is-block-desktop { + display: block !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-block-desktop-only { + display: block !important; } } + +@media screen and (min-width: 1216px) { + .is-block-widescreen { + display: block !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-block-widescreen-only { + display: block !important; } } + +@media screen and (min-width: 1408px) { + .is-block-fullhd { + display: block !important; } } + +.is-flex { + display: flex !important; } + +@media screen and (max-width: 768px) { + .is-flex-mobile { + display: flex !important; } } + +@media screen and (min-width: 769px), print { + .is-flex-tablet { + display: flex !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-flex-tablet-only { + display: flex !important; } } + +@media screen and (max-width: 1055px) { + .is-flex-touch { + display: flex !important; } } + +@media screen and (min-width: 1056px) { + .is-flex-desktop { + display: flex !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-flex-desktop-only { + display: flex !important; } } + +@media screen and (min-width: 1216px) { + .is-flex-widescreen { + display: flex !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-flex-widescreen-only { + display: flex !important; } } + +@media screen and (min-width: 1408px) { + .is-flex-fullhd { + display: flex !important; } } + +.is-inline { + display: inline !important; } + +@media screen and (max-width: 768px) { + .is-inline-mobile { + display: inline !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-tablet { + display: inline !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-tablet-only { + display: inline !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-touch { + display: inline !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-desktop { + display: inline !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-desktop-only { + display: inline !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-widescreen { + display: inline !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-widescreen-only { + display: inline !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-fullhd { + display: inline !important; } } + +.is-inline-block { + display: inline-block !important; } + +@media screen and (max-width: 768px) { + .is-inline-block-mobile { + display: inline-block !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-block-tablet { + display: inline-block !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-block-tablet-only { + display: inline-block !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-block-touch { + display: inline-block !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-block-desktop { + display: inline-block !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-block-desktop-only { + display: inline-block !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-block-widescreen { + display: inline-block !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-block-widescreen-only { + display: inline-block !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-block-fullhd { + display: inline-block !important; } } + +.is-inline-flex { + display: inline-flex !important; } + +@media screen and (max-width: 768px) { + .is-inline-flex-mobile { + display: inline-flex !important; } } + +@media screen and (min-width: 769px), print { + .is-inline-flex-tablet { + display: inline-flex !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-inline-flex-tablet-only { + display: inline-flex !important; } } + +@media screen and (max-width: 1055px) { + .is-inline-flex-touch { + display: inline-flex !important; } } + +@media screen and (min-width: 1056px) { + .is-inline-flex-desktop { + display: inline-flex !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-inline-flex-desktop-only { + display: inline-flex !important; } } + +@media screen and (min-width: 1216px) { + .is-inline-flex-widescreen { + display: inline-flex !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-inline-flex-widescreen-only { + display: inline-flex !important; } } + +@media screen and (min-width: 1408px) { + .is-inline-flex-fullhd { + display: inline-flex !important; } } + +.is-hidden { + display: none !important; } + +.is-sr-only { + border: none !important; + clip: rect(0, 0, 0, 0) !important; + height: 0.01em !important; + overflow: hidden !important; + padding: 0 !important; + position: absolute !important; + white-space: nowrap !important; + width: 0.01em !important; } + +@media screen and (max-width: 768px) { + .is-hidden-mobile { + display: none !important; } } + +@media screen and (min-width: 769px), print { + .is-hidden-tablet { + display: none !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-hidden-tablet-only { + display: none !important; } } + +@media screen and (max-width: 1055px) { + .is-hidden-touch { + display: none !important; } } + +@media screen and (min-width: 1056px) { + .is-hidden-desktop { + display: none !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-hidden-desktop-only { + display: none !important; } } + +@media screen and (min-width: 1216px) { + .is-hidden-widescreen { + display: none !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-hidden-widescreen-only { + display: none !important; } } + +@media screen and (min-width: 1408px) { + .is-hidden-fullhd { + display: none !important; } } + +.is-invisible { + visibility: hidden !important; } + +@media screen and (max-width: 768px) { + .is-invisible-mobile { + visibility: hidden !important; } } + +@media screen and (min-width: 769px), print { + .is-invisible-tablet { + visibility: hidden !important; } } + +@media screen and (min-width: 769px) and (max-width: 1055px) { + .is-invisible-tablet-only { + visibility: hidden !important; } } + +@media screen and (max-width: 1055px) { + .is-invisible-touch { + visibility: hidden !important; } } + +@media screen and (min-width: 1056px) { + .is-invisible-desktop { + visibility: hidden !important; } } + +@media screen and (min-width: 1056px) and (max-width: 1215px) { + .is-invisible-desktop-only { + visibility: hidden !important; } } + +@media screen and (min-width: 1216px) { + .is-invisible-widescreen { + visibility: hidden !important; } } + +@media screen and (min-width: 1216px) and (max-width: 1407px) { + .is-invisible-widescreen-only { + visibility: hidden !important; } } + +@media screen and (min-width: 1408px) { + .is-invisible-fullhd { + visibility: hidden !important; } } + +.is-marginless { + margin: 0 !important; } + +.is-paddingless { + padding: 0 !important; } + +.is-radiusless { + border-radius: 0 !important; } + +.is-shadowless { + box-shadow: none !important; } + +.is-relative { + position: relative !important; } + +.box { + background-color: white; + border-radius: 6px; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + color: #222222; + display: block; + padding: 1.25rem; } + +a.box:hover, a.box:focus { + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; } + +a.box:active { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; } + +.button { + background-color: white; + border-color: #dbdbdb; + border-width: 1px; + color: #363636; + cursor: pointer; + justify-content: center; + padding-bottom: calc(0.375em - 1px); + padding-left: 0.75em; + padding-right: 0.75em; + padding-top: calc(0.375em - 1px); + text-align: center; + white-space: nowrap; } + .button strong { + color: inherit; } + .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large { + height: 1.5em; + width: 1.5em; } + .button .icon:first-child:not(:last-child) { + margin-left: calc(-0.375em - 1px); + margin-right: 0.1875em; } + .button .icon:last-child:not(:first-child) { + margin-left: 0.1875em; + margin-right: calc(-0.375em - 1px); } + .button .icon:first-child:last-child { + margin-left: calc(-0.375em - 1px); + margin-right: calc(-0.375em - 1px); } + .button:hover, .button.is-hovered { + border-color: #b5b5b5; + color: #363636; } + .button:focus, .button.is-focused { + border-color: #3c5dcd; + color: #363636; } + .button:focus:not(:active), .button.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .button:active, .button.is-active { + border-color: #4a4a4a; + color: #363636; } + .button.is-text { + background-color: transparent; + border-color: transparent; + color: #222222; + text-decoration: underline; } + .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused { + background-color: whitesmoke; + color: #222222; } + .button.is-text:active, .button.is-text.is-active { + background-color: #e8e8e8; + color: #222222; } + .button.is-text[disabled], + fieldset[disabled] .button.is-text { + background-color: transparent; + border-color: transparent; + box-shadow: none; } + .button.is-white { + background-color: white; + border-color: transparent; + color: #0a0a0a; } + .button.is-white:hover, .button.is-white.is-hovered { + background-color: #f9f9f9; + border-color: transparent; + color: #0a0a0a; } + .button.is-white:focus, .button.is-white.is-focused { + border-color: transparent; + color: #0a0a0a; } + .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + .button.is-white:active, .button.is-white.is-active { + background-color: #f2f2f2; + border-color: transparent; + color: #0a0a0a; } + .button.is-white[disabled], + fieldset[disabled] .button.is-white { + background-color: white; + border-color: transparent; + box-shadow: none; } + .button.is-white.is-inverted { + background-color: #0a0a0a; + color: white; } + .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered { + background-color: black; } + .button.is-white.is-inverted[disabled], + fieldset[disabled] .button.is-white.is-inverted { + background-color: #0a0a0a; + border-color: transparent; + box-shadow: none; + color: white; } + .button.is-white.is-loading::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + .button.is-white.is-outlined { + background-color: transparent; + border-color: white; + color: white; } + .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused { + background-color: white; + border-color: white; + color: #0a0a0a; } + .button.is-white.is-outlined.is-loading::after { + border-color: transparent transparent white white !important; } + .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + .button.is-white.is-outlined[disabled], + fieldset[disabled] .button.is-white.is-outlined { + background-color: transparent; + border-color: white; + box-shadow: none; + color: white; } + .button.is-white.is-inverted.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + color: #0a0a0a; } + .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused { + background-color: #0a0a0a; + color: white; } + .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent white white !important; } + .button.is-white.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-white.is-inverted.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + box-shadow: none; + color: #0a0a0a; } + .button.is-black { + background-color: #0a0a0a; + border-color: transparent; + color: white; } + .button.is-black:hover, .button.is-black.is-hovered { + background-color: #040404; + border-color: transparent; + color: white; } + .button.is-black:focus, .button.is-black.is-focused { + border-color: transparent; + color: white; } + .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + .button.is-black:active, .button.is-black.is-active { + background-color: black; + border-color: transparent; + color: white; } + .button.is-black[disabled], + fieldset[disabled] .button.is-black { + background-color: #0a0a0a; + border-color: transparent; + box-shadow: none; } + .button.is-black.is-inverted { + background-color: white; + color: #0a0a0a; } + .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-black.is-inverted[disabled], + fieldset[disabled] .button.is-black.is-inverted { + background-color: white; + border-color: transparent; + box-shadow: none; + color: #0a0a0a; } + .button.is-black.is-loading::after { + border-color: transparent transparent white white !important; } + .button.is-black.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + color: #0a0a0a; } + .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + .button.is-black.is-outlined.is-loading::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent white white !important; } + .button.is-black.is-outlined[disabled], + fieldset[disabled] .button.is-black.is-outlined { + background-color: transparent; + border-color: #0a0a0a; + box-shadow: none; + color: #0a0a0a; } + .button.is-black.is-inverted.is-outlined { + background-color: transparent; + border-color: white; + color: white; } + .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused { + background-color: white; + color: #0a0a0a; } + .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #0a0a0a #0a0a0a !important; } + .button.is-black.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-black.is-inverted.is-outlined { + background-color: transparent; + border-color: white; + box-shadow: none; + color: white; } + .button.is-light { + background-color: whitesmoke; + border-color: transparent; + color: #363636; } + .button.is-light:hover, .button.is-light.is-hovered { + background-color: #eeeeee; + border-color: transparent; + color: #363636; } + .button.is-light:focus, .button.is-light.is-focused { + border-color: transparent; + color: #363636; } + .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } + .button.is-light:active, .button.is-light.is-active { + background-color: #e8e8e8; + border-color: transparent; + color: #363636; } + .button.is-light[disabled], + fieldset[disabled] .button.is-light { + background-color: whitesmoke; + border-color: transparent; + box-shadow: none; } + .button.is-light.is-inverted { + background-color: #363636; + color: whitesmoke; } + .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered { + background-color: #292929; } + .button.is-light.is-inverted[disabled], + fieldset[disabled] .button.is-light.is-inverted { + background-color: #363636; + border-color: transparent; + box-shadow: none; + color: whitesmoke; } + .button.is-light.is-loading::after { + border-color: transparent transparent #363636 #363636 !important; } + .button.is-light.is-outlined { + background-color: transparent; + border-color: whitesmoke; + color: whitesmoke; } + .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused { + background-color: whitesmoke; + border-color: whitesmoke; + color: #363636; } + .button.is-light.is-outlined.is-loading::after { + border-color: transparent transparent whitesmoke whitesmoke !important; } + .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #363636 #363636 !important; } + .button.is-light.is-outlined[disabled], + fieldset[disabled] .button.is-light.is-outlined { + background-color: transparent; + border-color: whitesmoke; + box-shadow: none; + color: whitesmoke; } + .button.is-light.is-inverted.is-outlined { + background-color: transparent; + border-color: #363636; + color: #363636; } + .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused { + background-color: #363636; + color: whitesmoke; } + .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent whitesmoke whitesmoke !important; } + .button.is-light.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-light.is-inverted.is-outlined { + background-color: transparent; + border-color: #363636; + box-shadow: none; + color: #363636; } + .button.is-dark, .content kbd.button { + background-color: #363636; + border-color: transparent; + color: whitesmoke; } + .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered { + background-color: #2f2f2f; + border-color: transparent; + color: whitesmoke; } + .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused { + border-color: transparent; + color: whitesmoke; } + .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } + .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active { + background-color: #292929; + border-color: transparent; + color: whitesmoke; } + .button.is-dark[disabled], .content kbd.button[disabled], + fieldset[disabled] .button.is-dark, + fieldset[disabled] .content kbd.button, + .content fieldset[disabled] kbd.button { + background-color: #363636; + border-color: transparent; + box-shadow: none; } + .button.is-dark.is-inverted, .content kbd.button.is-inverted { + background-color: whitesmoke; + color: #363636; } + .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered { + background-color: #e8e8e8; } + .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], + fieldset[disabled] .button.is-dark.is-inverted, + fieldset[disabled] .content kbd.button.is-inverted, + .content fieldset[disabled] kbd.button.is-inverted { + background-color: whitesmoke; + border-color: transparent; + box-shadow: none; + color: #363636; } + .button.is-dark.is-loading::after, .content kbd.button.is-loading::after { + border-color: transparent transparent whitesmoke whitesmoke !important; } + .button.is-dark.is-outlined, .content kbd.button.is-outlined { + background-color: transparent; + border-color: #363636; + color: #363636; } + .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused { + background-color: #363636; + border-color: #363636; + color: whitesmoke; } + .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after { + border-color: transparent transparent #363636 #363636 !important; } + .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent whitesmoke whitesmoke !important; } + .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], + fieldset[disabled] .button.is-dark.is-outlined, + fieldset[disabled] .content kbd.button.is-outlined, + .content fieldset[disabled] kbd.button.is-outlined { + background-color: transparent; + border-color: #363636; + box-shadow: none; + color: #363636; } + .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined { + background-color: transparent; + border-color: whitesmoke; + color: whitesmoke; } + .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused { + background-color: whitesmoke; + color: #363636; } + .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #363636 #363636 !important; } + .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-dark.is-inverted.is-outlined, + fieldset[disabled] .content kbd.button.is-inverted.is-outlined, + .content fieldset[disabled] kbd.button.is-inverted.is-outlined { + background-color: transparent; + border-color: whitesmoke; + box-shadow: none; + color: whitesmoke; } + .button.is-primary, .docstring > section > a.button.docs-sourcelink { + background-color: #4eb5de; + border-color: transparent; + color: #fff; } + .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink { + background-color: #43b1dc; + border-color: transparent; + color: #fff; } + .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink { + border-color: transparent; + color: #fff; } + .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) { + box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } + .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink { + background-color: #39acda; + border-color: transparent; + color: #fff; } + .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], + fieldset[disabled] .button.is-primary, + fieldset[disabled] .docstring > section > a.button.docs-sourcelink { + background-color: #4eb5de; + border-color: transparent; + box-shadow: none; } + .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink { + background-color: #fff; + color: #4eb5de; } + .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink { + background-color: #f2f2f2; } + .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], + fieldset[disabled] .button.is-primary.is-inverted, + fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #4eb5de; } + .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #4eb5de; + color: #4eb5de; } + .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink { + background-color: #4eb5de; + border-color: #4eb5de; + color: #fff; } + .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after { + border-color: transparent transparent #4eb5de #4eb5de !important; } + .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], + fieldset[disabled] .button.is-primary.is-outlined, + fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #4eb5de; + box-shadow: none; + color: #4eb5de; } + .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink { + background-color: #fff; + color: #4eb5de; } + .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after { + border-color: transparent transparent #4eb5de #4eb5de !important; } + .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], + fieldset[disabled] .button.is-primary.is-inverted.is-outlined, + fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-link { + background-color: #2e63b8; + border-color: transparent; + color: #fff; } + .button.is-link:hover, .button.is-link.is-hovered { + background-color: #2b5eae; + border-color: transparent; + color: #fff; } + .button.is-link:focus, .button.is-link.is-focused { + border-color: transparent; + color: #fff; } + .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .button.is-link:active, .button.is-link.is-active { + background-color: #2958a4; + border-color: transparent; + color: #fff; } + .button.is-link[disabled], + fieldset[disabled] .button.is-link { + background-color: #2e63b8; + border-color: transparent; + box-shadow: none; } + .button.is-link.is-inverted { + background-color: #fff; + color: #2e63b8; } + .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-link.is-inverted[disabled], + fieldset[disabled] .button.is-link.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #2e63b8; } + .button.is-link.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-link.is-outlined { + background-color: transparent; + border-color: #2e63b8; + color: #2e63b8; } + .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused { + background-color: #2e63b8; + border-color: #2e63b8; + color: #fff; } + .button.is-link.is-outlined.is-loading::after { + border-color: transparent transparent #2e63b8 #2e63b8 !important; } + .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-link.is-outlined[disabled], + fieldset[disabled] .button.is-link.is-outlined { + background-color: transparent; + border-color: #2e63b8; + box-shadow: none; + color: #2e63b8; } + .button.is-link.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #2e63b8; } + .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #2e63b8 #2e63b8 !important; } + .button.is-link.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-link.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-info { + background-color: #209cee; + border-color: transparent; + color: #fff; } + .button.is-info:hover, .button.is-info.is-hovered { + background-color: #1497ed; + border-color: transparent; + color: #fff; } + .button.is-info:focus, .button.is-info.is-focused { + border-color: transparent; + color: #fff; } + .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } + .button.is-info:active, .button.is-info.is-active { + background-color: #1190e3; + border-color: transparent; + color: #fff; } + .button.is-info[disabled], + fieldset[disabled] .button.is-info { + background-color: #209cee; + border-color: transparent; + box-shadow: none; } + .button.is-info.is-inverted { + background-color: #fff; + color: #209cee; } + .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-info.is-inverted[disabled], + fieldset[disabled] .button.is-info.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #209cee; } + .button.is-info.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-info.is-outlined { + background-color: transparent; + border-color: #209cee; + color: #209cee; } + .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused { + background-color: #209cee; + border-color: #209cee; + color: #fff; } + .button.is-info.is-outlined.is-loading::after { + border-color: transparent transparent #209cee #209cee !important; } + .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-info.is-outlined[disabled], + fieldset[disabled] .button.is-info.is-outlined { + background-color: transparent; + border-color: #209cee; + box-shadow: none; + color: #209cee; } + .button.is-info.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #209cee; } + .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #209cee #209cee !important; } + .button.is-info.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-info.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-success { + background-color: #22c35b; + border-color: transparent; + color: #fff; } + .button.is-success:hover, .button.is-success.is-hovered { + background-color: #20b856; + border-color: transparent; + color: #fff; } + .button.is-success:focus, .button.is-success.is-focused { + border-color: transparent; + color: #fff; } + .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } + .button.is-success:active, .button.is-success.is-active { + background-color: #1ead51; + border-color: transparent; + color: #fff; } + .button.is-success[disabled], + fieldset[disabled] .button.is-success { + background-color: #22c35b; + border-color: transparent; + box-shadow: none; } + .button.is-success.is-inverted { + background-color: #fff; + color: #22c35b; } + .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-success.is-inverted[disabled], + fieldset[disabled] .button.is-success.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #22c35b; } + .button.is-success.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-success.is-outlined { + background-color: transparent; + border-color: #22c35b; + color: #22c35b; } + .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused { + background-color: #22c35b; + border-color: #22c35b; + color: #fff; } + .button.is-success.is-outlined.is-loading::after { + border-color: transparent transparent #22c35b #22c35b !important; } + .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-success.is-outlined[disabled], + fieldset[disabled] .button.is-success.is-outlined { + background-color: transparent; + border-color: #22c35b; + box-shadow: none; + color: #22c35b; } + .button.is-success.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #22c35b; } + .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #22c35b #22c35b !important; } + .button.is-success.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-success.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-warning { + background-color: #ffdd57; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning:hover, .button.is-warning.is-hovered { + background-color: #ffda4a; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning:focus, .button.is-warning.is-focused { + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } + .button.is-warning:active, .button.is-warning.is-active { + background-color: #ffd83e; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning[disabled], + fieldset[disabled] .button.is-warning { + background-color: #ffdd57; + border-color: transparent; + box-shadow: none; } + .button.is-warning.is-inverted { + background-color: rgba(0, 0, 0, 0.7); + color: #ffdd57; } + .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered { + background-color: rgba(0, 0, 0, 0.7); } + .button.is-warning.is-inverted[disabled], + fieldset[disabled] .button.is-warning.is-inverted { + background-color: rgba(0, 0, 0, 0.7); + border-color: transparent; + box-shadow: none; + color: #ffdd57; } + .button.is-warning.is-loading::after { + border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; } + .button.is-warning.is-outlined { + background-color: transparent; + border-color: #ffdd57; + color: #ffdd57; } + .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused { + background-color: #ffdd57; + border-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .button.is-warning.is-outlined.is-loading::after { + border-color: transparent transparent #ffdd57 #ffdd57 !important; } + .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; } + .button.is-warning.is-outlined[disabled], + fieldset[disabled] .button.is-warning.is-outlined { + background-color: transparent; + border-color: #ffdd57; + box-shadow: none; + color: #ffdd57; } + .button.is-warning.is-inverted.is-outlined { + background-color: transparent; + border-color: rgba(0, 0, 0, 0.7); + color: rgba(0, 0, 0, 0.7); } + .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused { + background-color: rgba(0, 0, 0, 0.7); + color: #ffdd57; } + .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #ffdd57 #ffdd57 !important; } + .button.is-warning.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-warning.is-inverted.is-outlined { + background-color: transparent; + border-color: rgba(0, 0, 0, 0.7); + box-shadow: none; + color: rgba(0, 0, 0, 0.7); } + .button.is-danger { + background-color: #da0b00; + border-color: transparent; + color: #fff; } + .button.is-danger:hover, .button.is-danger.is-hovered { + background-color: #cd0a00; + border-color: transparent; + color: #fff; } + .button.is-danger:focus, .button.is-danger.is-focused { + border-color: transparent; + color: #fff; } + .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) { + box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } + .button.is-danger:active, .button.is-danger.is-active { + background-color: #c10a00; + border-color: transparent; + color: #fff; } + .button.is-danger[disabled], + fieldset[disabled] .button.is-danger { + background-color: #da0b00; + border-color: transparent; + box-shadow: none; } + .button.is-danger.is-inverted { + background-color: #fff; + color: #da0b00; } + .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered { + background-color: #f2f2f2; } + .button.is-danger.is-inverted[disabled], + fieldset[disabled] .button.is-danger.is-inverted { + background-color: #fff; + border-color: transparent; + box-shadow: none; + color: #da0b00; } + .button.is-danger.is-loading::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-danger.is-outlined { + background-color: transparent; + border-color: #da0b00; + color: #da0b00; } + .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused { + background-color: #da0b00; + border-color: #da0b00; + color: #fff; } + .button.is-danger.is-outlined.is-loading::after { + border-color: transparent transparent #da0b00 #da0b00 !important; } + .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #fff #fff !important; } + .button.is-danger.is-outlined[disabled], + fieldset[disabled] .button.is-danger.is-outlined { + background-color: transparent; + border-color: #da0b00; + box-shadow: none; + color: #da0b00; } + .button.is-danger.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + color: #fff; } + .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused { + background-color: #fff; + color: #da0b00; } + .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after { + border-color: transparent transparent #da0b00 #da0b00 !important; } + .button.is-danger.is-inverted.is-outlined[disabled], + fieldset[disabled] .button.is-danger.is-inverted.is-outlined { + background-color: transparent; + border-color: #fff; + box-shadow: none; + color: #fff; } + .button.is-small, #documenter .docs-sidebar form.docs-search > input.button { + border-radius: 2px; + font-size: 0.75rem; } + .button.is-normal { + font-size: 1rem; } + .button.is-medium { + font-size: 1.25rem; } + .button.is-large { + font-size: 1.5rem; } + .button[disabled], + fieldset[disabled] .button { + background-color: white; + border-color: #dbdbdb; + box-shadow: none; + opacity: 0.5; } + .button.is-fullwidth { + display: flex; + width: 100%; } + .button.is-loading { + color: transparent !important; + pointer-events: none; } + .button.is-loading::after { + position: absolute; + left: calc(50% - (1em / 2)); + top: calc(50% - (1em / 2)); + position: absolute !important; } + .button.is-static { + background-color: whitesmoke; + border-color: #dbdbdb; + color: #6b6b6b; + box-shadow: none; + pointer-events: none; } + .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button { + border-radius: 290486px; + padding-left: 1em; + padding-right: 1em; } + +.buttons { + align-items: center; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + .buttons .button { + margin-bottom: 0.5rem; } + .buttons .button:not(:last-child):not(.is-fullwidth) { + margin-right: 0.5rem; } + .buttons:last-child { + margin-bottom: -0.5rem; } + .buttons:not(:last-child) { + margin-bottom: 1rem; } + .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) { + border-radius: 2px; + font-size: 0.75rem; } + .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) { + font-size: 1.25rem; } + .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) { + font-size: 1.5rem; } + .buttons.has-addons .button:not(:first-child) { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + .buttons.has-addons .button:not(:last-child) { + border-bottom-right-radius: 0; + border-top-right-radius: 0; + margin-right: -1px; } + .buttons.has-addons .button:last-child { + margin-right: 0; } + .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered { + z-index: 2; } + .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected { + z-index: 3; } + .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover { + z-index: 4; } + .buttons.has-addons .button.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + .buttons.is-centered { + justify-content: center; } + .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) { + margin-left: 0.25rem; + margin-right: 0.25rem; } + .buttons.is-right { + justify-content: flex-end; } + .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) { + margin-left: 0.25rem; + margin-right: 0.25rem; } + +.container { + flex-grow: 1; + margin: 0 auto; + position: relative; + width: auto; } + @media screen and (min-width: 1056px) { + .container { + max-width: 992px; } + .container.is-fluid { + margin-left: 32px; + margin-right: 32px; + max-width: none; } } + @media screen and (max-width: 1215px) { + .container.is-widescreen { + max-width: 1152px; } } + @media screen and (max-width: 1407px) { + .container.is-fullhd { + max-width: 1344px; } } + @media screen and (min-width: 1216px) { + .container { + max-width: 1152px; } } + @media screen and (min-width: 1408px) { + .container { + max-width: 1344px; } } + +.content li + li { + margin-top: 0.25em; } + +.content p:not(:last-child), +.content dl:not(:last-child), +.content ol:not(:last-child), +.content ul:not(:last-child), +.content blockquote:not(:last-child), +.content pre:not(:last-child), +.content table:not(:last-child) { + margin-bottom: 1em; } + +.content h1, +.content h2, +.content h3, +.content h4, +.content h5, +.content h6 { + color: #222222; + font-weight: 600; + line-height: 1.125; } + +.content h1 { + font-size: 2em; + margin-bottom: 0.5em; } + .content h1:not(:first-child) { + margin-top: 1em; } + +.content h2 { + font-size: 1.75em; + margin-bottom: 0.5714em; } + .content h2:not(:first-child) { + margin-top: 1.1428em; } + +.content h3 { + font-size: 1.5em; + margin-bottom: 0.6666em; } + .content h3:not(:first-child) { + margin-top: 1.3333em; } + +.content h4 { + font-size: 1.25em; + margin-bottom: 0.8em; } + +.content h5 { + font-size: 1.125em; + margin-bottom: 0.8888em; } + +.content h6 { + font-size: 1em; + margin-bottom: 1em; } + +.content blockquote { + background-color: whitesmoke; + border-left: 5px solid #dbdbdb; + padding: 1.25em 1.5em; } + +.content ol { + list-style-position: outside; + margin-left: 2em; + margin-top: 1em; } + .content ol:not([type]) { + list-style-type: decimal; } + .content ol:not([type]).is-lower-alpha { + list-style-type: lower-alpha; } + .content ol:not([type]).is-lower-roman { + list-style-type: lower-roman; } + .content ol:not([type]).is-upper-alpha { + list-style-type: upper-alpha; } + .content ol:not([type]).is-upper-roman { + list-style-type: upper-roman; } + +.content ul { + list-style: disc outside; + margin-left: 2em; + margin-top: 1em; } + .content ul ul { + list-style-type: circle; + margin-top: 0.5em; } + .content ul ul ul { + list-style-type: square; } + +.content dd { + margin-left: 2em; } + +.content figure { + margin-left: 2em; + margin-right: 2em; + text-align: center; } + .content figure:not(:first-child) { + margin-top: 2em; } + .content figure:not(:last-child) { + margin-bottom: 2em; } + .content figure img { + display: inline-block; } + .content figure figcaption { + font-style: italic; } + +.content pre { + -webkit-overflow-scrolling: touch; + overflow-x: auto; + padding: 0.7rem 0.5rem; + white-space: pre; + word-wrap: normal; } + +.content sup, +.content sub { + font-size: 75%; } + +.content table { + width: 100%; } + .content table td, + .content table th { + border: 1px solid #dbdbdb; + border-width: 0 0 1px; + padding: 0.5em 0.75em; + vertical-align: top; } + .content table th { + color: #222222; } + .content table th:not([align]) { + text-align: left; } + .content table thead td, + .content table thead th { + border-width: 0 0 2px; + color: #222222; } + .content table tfoot td, + .content table tfoot th { + border-width: 2px 0 0; + color: #222222; } + .content table tbody tr:last-child td, + .content table tbody tr:last-child th { + border-bottom-width: 0; } + +.content .tabs li + li { + margin-top: 0; } + +.content.is-small, #documenter .docs-sidebar form.docs-search > input.content { + font-size: 0.75rem; } + +.content.is-medium { + font-size: 1.25rem; } + +.content.is-large { + font-size: 1.5rem; } + +.icon { + align-items: center; + display: inline-flex; + justify-content: center; + height: 1.5rem; + width: 1.5rem; } + .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon { + height: 1rem; + width: 1rem; } + .icon.is-medium { + height: 2rem; + width: 2rem; } + .icon.is-large { + height: 3rem; + width: 3rem; } + +.image, #documenter .docs-sidebar .docs-logo > img { + display: block; + position: relative; } + .image img, #documenter .docs-sidebar .docs-logo > img img { + display: block; + height: auto; + width: 100%; } + .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded { + border-radius: 290486px; } + .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img, + .image.is-square .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img, + .image.is-1by1 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img, + .image.is-5by4 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img, + .image.is-4by3 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img, + .image.is-3by2 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img, + .image.is-5by3 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img, + .image.is-16by9 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img, + .image.is-2by1 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img, + .image.is-3by1 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img, + .image.is-4by5 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img, + .image.is-3by4 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img, + .image.is-2by3 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img, + .image.is-3by5 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img, + .image.is-9by16 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img, + .image.is-1by2 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img, + .image.is-1by3 .has-ratio, + #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio { + height: 100%; + width: 100%; } + .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 { + padding-top: 100%; } + .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 { + padding-top: 80%; } + .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 { + padding-top: 75%; } + .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 { + padding-top: 66.6666%; } + .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 { + padding-top: 60%; } + .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 { + padding-top: 56.25%; } + .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 { + padding-top: 50%; } + .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 { + padding-top: 33.3333%; } + .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 { + padding-top: 125%; } + .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 { + padding-top: 133.3333%; } + .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 { + padding-top: 150%; } + .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 { + padding-top: 166.6666%; } + .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 { + padding-top: 177.7777%; } + .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 { + padding-top: 200%; } + .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 { + padding-top: 300%; } + .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 { + height: 16px; + width: 16px; } + .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 { + height: 24px; + width: 24px; } + .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 { + height: 32px; + width: 32px; } + .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 { + height: 48px; + width: 48px; } + .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 { + height: 64px; + width: 64px; } + .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 { + height: 96px; + width: 96px; } + .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 { + height: 128px; + width: 128px; } + +.notification { + background-color: whitesmoke; + border-radius: 4px; + padding: 1.25rem 2.5rem 1.25rem 1.5rem; + position: relative; } + .notification a:not(.button):not(.dropdown-item) { + color: currentColor; + text-decoration: underline; } + .notification strong { + color: currentColor; } + .notification code, + .notification pre { + background: white; } + .notification pre code { + background: transparent; } + .notification > .delete { + position: absolute; + right: 0.5rem; + top: 0.5rem; } + .notification .title, + .notification .subtitle, + .notification .content { + color: currentColor; } + .notification.is-white { + background-color: white; + color: #0a0a0a; } + .notification.is-black { + background-color: #0a0a0a; + color: white; } + .notification.is-light { + background-color: whitesmoke; + color: #363636; } + .notification.is-dark, .content kbd.notification { + background-color: #363636; + color: whitesmoke; } + .notification.is-primary, .docstring > section > a.notification.docs-sourcelink { + background-color: #4eb5de; + color: #fff; } + .notification.is-link { + background-color: #2e63b8; + color: #fff; } + .notification.is-info { + background-color: #209cee; + color: #fff; } + .notification.is-success { + background-color: #22c35b; + color: #fff; } + .notification.is-warning { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .notification.is-danger { + background-color: #da0b00; + color: #fff; } + +.progress { + -moz-appearance: none; + -webkit-appearance: none; + border: none; + border-radius: 290486px; + display: block; + height: 1rem; + overflow: hidden; + padding: 0; + width: 100%; } + .progress::-webkit-progress-bar { + background-color: #dbdbdb; } + .progress::-webkit-progress-value { + background-color: #222222; } + .progress::-moz-progress-bar { + background-color: #222222; } + .progress::-ms-fill { + background-color: #222222; + border: none; } + .progress.is-white::-webkit-progress-value { + background-color: white; } + .progress.is-white::-moz-progress-bar { + background-color: white; } + .progress.is-white::-ms-fill { + background-color: white; } + .progress.is-white:indeterminate { + background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); } + .progress.is-black::-webkit-progress-value { + background-color: #0a0a0a; } + .progress.is-black::-moz-progress-bar { + background-color: #0a0a0a; } + .progress.is-black::-ms-fill { + background-color: #0a0a0a; } + .progress.is-black:indeterminate { + background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); } + .progress.is-light::-webkit-progress-value { + background-color: whitesmoke; } + .progress.is-light::-moz-progress-bar { + background-color: whitesmoke; } + .progress.is-light::-ms-fill { + background-color: whitesmoke; } + .progress.is-light:indeterminate { + background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); } + .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value { + background-color: #363636; } + .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar { + background-color: #363636; } + .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill { + background-color: #363636; } + .progress.is-dark:indeterminate, .content kbd.progress:indeterminate { + background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); } + .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value { + background-color: #4eb5de; } + .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar { + background-color: #4eb5de; } + .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill { + background-color: #4eb5de; } + .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate { + background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); } + .progress.is-link::-webkit-progress-value { + background-color: #2e63b8; } + .progress.is-link::-moz-progress-bar { + background-color: #2e63b8; } + .progress.is-link::-ms-fill { + background-color: #2e63b8; } + .progress.is-link:indeterminate { + background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); } + .progress.is-info::-webkit-progress-value { + background-color: #209cee; } + .progress.is-info::-moz-progress-bar { + background-color: #209cee; } + .progress.is-info::-ms-fill { + background-color: #209cee; } + .progress.is-info:indeterminate { + background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); } + .progress.is-success::-webkit-progress-value { + background-color: #22c35b; } + .progress.is-success::-moz-progress-bar { + background-color: #22c35b; } + .progress.is-success::-ms-fill { + background-color: #22c35b; } + .progress.is-success:indeterminate { + background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); } + .progress.is-warning::-webkit-progress-value { + background-color: #ffdd57; } + .progress.is-warning::-moz-progress-bar { + background-color: #ffdd57; } + .progress.is-warning::-ms-fill { + background-color: #ffdd57; } + .progress.is-warning:indeterminate { + background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); } + .progress.is-danger::-webkit-progress-value { + background-color: #da0b00; } + .progress.is-danger::-moz-progress-bar { + background-color: #da0b00; } + .progress.is-danger::-ms-fill { + background-color: #da0b00; } + .progress.is-danger:indeterminate { + background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); } + .progress:indeterminate { + animation-duration: 1.5s; + animation-iteration-count: infinite; + animation-name: moveIndeterminate; + animation-timing-function: linear; + background-color: #dbdbdb; + background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%); + background-position: top left; + background-repeat: no-repeat; + background-size: 150% 150%; } + .progress:indeterminate::-webkit-progress-bar { + background-color: transparent; } + .progress:indeterminate::-moz-progress-bar { + background-color: transparent; } + .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress { + height: 0.75rem; } + .progress.is-medium { + height: 1.25rem; } + .progress.is-large { + height: 1.5rem; } + +@keyframes moveIndeterminate { + from { + background-position: 200% 0; } + to { + background-position: -200% 0; } } + +.table { + background-color: white; + color: #363636; } + .table td, + .table th { + border: 1px solid #dbdbdb; + border-width: 0 0 1px; + padding: 0.5em 0.75em; + vertical-align: top; } + .table td.is-white, + .table th.is-white { + background-color: white; + border-color: white; + color: #0a0a0a; } + .table td.is-black, + .table th.is-black { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + .table td.is-light, + .table th.is-light { + background-color: whitesmoke; + border-color: whitesmoke; + color: #363636; } + .table td.is-dark, + .table th.is-dark { + background-color: #363636; + border-color: #363636; + color: whitesmoke; } + .table td.is-primary, + .table th.is-primary { + background-color: #4eb5de; + border-color: #4eb5de; + color: #fff; } + .table td.is-link, + .table th.is-link { + background-color: #2e63b8; + border-color: #2e63b8; + color: #fff; } + .table td.is-info, + .table th.is-info { + background-color: #209cee; + border-color: #209cee; + color: #fff; } + .table td.is-success, + .table th.is-success { + background-color: #22c35b; + border-color: #22c35b; + color: #fff; } + .table td.is-warning, + .table th.is-warning { + background-color: #ffdd57; + border-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .table td.is-danger, + .table th.is-danger { + background-color: #da0b00; + border-color: #da0b00; + color: #fff; } + .table td.is-narrow, + .table th.is-narrow { + white-space: nowrap; + width: 1%; } + .table td.is-selected, + .table th.is-selected { + background-color: #4eb5de; + color: #fff; } + .table td.is-selected a, + .table td.is-selected strong, + .table th.is-selected a, + .table th.is-selected strong { + color: currentColor; } + .table th { + color: #222222; } + .table th:not([align]) { + text-align: left; } + .table tr.is-selected { + background-color: #4eb5de; + color: #fff; } + .table tr.is-selected a, + .table tr.is-selected strong { + color: currentColor; } + .table tr.is-selected td, + .table tr.is-selected th { + border-color: #fff; + color: currentColor; } + .table thead { + background-color: transparent; } + .table thead td, + .table thead th { + border-width: 0 0 2px; + color: #222222; } + .table tfoot { + background-color: transparent; } + .table tfoot td, + .table tfoot th { + border-width: 2px 0 0; + color: #222222; } + .table tbody { + background-color: transparent; } + .table tbody tr:last-child td, + .table tbody tr:last-child th { + border-bottom-width: 0; } + .table.is-bordered td, + .table.is-bordered th { + border-width: 1px; } + .table.is-bordered tr:last-child td, + .table.is-bordered tr:last-child th { + border-bottom-width: 1px; } + .table.is-fullwidth { + width: 100%; } + .table.is-hoverable tbody tr:not(.is-selected):hover { + background-color: #fafafa; } + .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover { + background-color: #fafafa; } + .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) { + background-color: whitesmoke; } + .table.is-narrow td, + .table.is-narrow th { + padding: 0.25em 0.5em; } + .table.is-striped tbody tr:not(.is-selected):nth-child(even) { + background-color: #fafafa; } + +.table-container { + -webkit-overflow-scrolling: touch; + overflow: auto; + overflow-y: hidden; + max-width: 100%; } + +.tags { + align-items: center; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + .tags .tag, .tags .docstring > section > a.docs-sourcelink, .tags .content kbd, .content .tags kbd { + margin-bottom: 0.5rem; } + .tags .tag:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child) { + margin-right: 0.5rem; } + .tags:last-child { + margin-bottom: -0.5rem; } + .tags:not(:last-child) { + margin-bottom: 1rem; } + .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large) { + font-size: 1rem; } + .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium) { + font-size: 1.25rem; } + .tags.is-centered { + justify-content: center; } + .tags.is-centered .tag, .tags.is-centered .docstring > section > a.docs-sourcelink, .tags.is-centered .content kbd, .content .tags.is-centered kbd { + margin-right: 0.25rem; + margin-left: 0.25rem; } + .tags.is-right { + justify-content: flex-end; } + .tags.is-right .tag:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child) { + margin-left: 0.5rem; } + .tags.is-right .tag:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child) { + margin-right: 0; } + .tags.has-addons .tag, .tags.has-addons .docstring > section > a.docs-sourcelink, .tags.has-addons .content kbd, .content .tags.has-addons kbd { + margin-right: 0; } + .tags.has-addons .tag:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child) { + margin-left: 0; + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + .tags.has-addons .tag:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child) { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + +.tag:not(body), .docstring > section > a.docs-sourcelink:not(body), .content kbd:not(body) { + align-items: center; + background-color: whitesmoke; + border-radius: 4px; + color: #222222; + display: inline-flex; + font-size: 0.75rem; + height: 2em; + justify-content: center; + line-height: 1.5; + padding-left: 0.75em; + padding-right: 0.75em; + white-space: nowrap; } + .tag:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete, .content kbd:not(body) .delete { + margin-left: 0.25rem; + margin-right: -0.375rem; } + .tag:not(body).is-white, .docstring > section > a.docs-sourcelink:not(body).is-white, .content kbd:not(body).is-white { + background-color: white; + color: #0a0a0a; } + .tag:not(body).is-black, .docstring > section > a.docs-sourcelink:not(body).is-black, .content kbd:not(body).is-black { + background-color: #0a0a0a; + color: white; } + .tag:not(body).is-light, .docstring > section > a.docs-sourcelink:not(body).is-light, .content kbd:not(body).is-light { + background-color: whitesmoke; + color: #363636; } + .tag:not(body).is-dark, .docstring > section > a.docs-sourcelink:not(body).is-dark, .content kbd:not(body) { + background-color: #363636; + color: whitesmoke; } + .tag:not(body).is-primary, .docstring > section > a.docs-sourcelink:not(body), .content kbd:not(body).is-primary { + background-color: #4eb5de; + color: #fff; } + .tag:not(body).is-link, .docstring > section > a.docs-sourcelink:not(body).is-link, .content kbd:not(body).is-link { + background-color: #2e63b8; + color: #fff; } + .tag:not(body).is-info, .docstring > section > a.docs-sourcelink:not(body).is-info, .content kbd:not(body).is-info { + background-color: #209cee; + color: #fff; } + .tag:not(body).is-success, .docstring > section > a.docs-sourcelink:not(body).is-success, .content kbd:not(body).is-success { + background-color: #22c35b; + color: #fff; } + .tag:not(body).is-warning, .docstring > section > a.docs-sourcelink:not(body).is-warning, .content kbd:not(body).is-warning { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .tag:not(body).is-danger, .docstring > section > a.docs-sourcelink:not(body).is-danger, .content kbd:not(body).is-danger { + background-color: #da0b00; + color: #fff; } + .tag:not(body).is-normal, .docstring > section > a.docs-sourcelink:not(body).is-normal, .content kbd:not(body).is-normal { + font-size: 0.75rem; } + .tag:not(body).is-medium, .docstring > section > a.docs-sourcelink:not(body).is-medium, .content kbd:not(body).is-medium { + font-size: 1rem; } + .tag:not(body).is-large, .docstring > section > a.docs-sourcelink:not(body).is-large, .content kbd:not(body).is-large { + font-size: 1.25rem; } + .tag:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child) { + margin-left: -0.375em; + margin-right: 0.1875em; } + .tag:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child) { + margin-left: 0.1875em; + margin-right: -0.375em; } + .tag:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child { + margin-left: -0.375em; + margin-right: -0.375em; } + .tag:not(body).is-delete, .docstring > section > a.docs-sourcelink:not(body).is-delete, .content kbd:not(body).is-delete { + margin-left: 1px; + padding: 0; + position: relative; + width: 2em; } + .tag:not(body).is-delete::before, .docstring > section > a.docs-sourcelink:not(body).is-delete::before, .content kbd:not(body).is-delete::before, .tag:not(body).is-delete::after, .docstring > section > a.docs-sourcelink:not(body).is-delete::after, .content kbd:not(body).is-delete::after { + background-color: currentColor; + content: ""; + display: block; + left: 50%; + position: absolute; + top: 50%; + transform: translateX(-50%) translateY(-50%) rotate(45deg); + transform-origin: center center; } + .tag:not(body).is-delete::before, .docstring > section > a.docs-sourcelink:not(body).is-delete::before, .content kbd:not(body).is-delete::before { + height: 1px; + width: 50%; } + .tag:not(body).is-delete::after, .docstring > section > a.docs-sourcelink:not(body).is-delete::after, .content kbd:not(body).is-delete::after { + height: 50%; + width: 1px; } + .tag:not(body).is-delete:hover, .docstring > section > a.docs-sourcelink:not(body).is-delete:hover, .content kbd:not(body).is-delete:hover, .tag:not(body).is-delete:focus, .docstring > section > a.docs-sourcelink:not(body).is-delete:focus, .content kbd:not(body).is-delete:focus { + background-color: #e8e8e8; } + .tag:not(body).is-delete:active, .docstring > section > a.docs-sourcelink:not(body).is-delete:active, .content kbd:not(body).is-delete:active { + background-color: #dbdbdb; } + .tag:not(body).is-rounded, .docstring > section > a.docs-sourcelink:not(body).is-rounded, .content kbd:not(body).is-rounded, #documenter .docs-sidebar form.docs-search > input.tag:not(body) { + border-radius: 290486px; } + +a.tag:hover, .docstring > section > a.docs-sourcelink:hover { + text-decoration: underline; } + +.title, +.subtitle { + word-break: break-word; } + .title em, + .title span, + .subtitle em, + .subtitle span { + font-weight: inherit; } + .title sub, + .subtitle sub { + font-size: 0.75em; } + .title sup, + .subtitle sup { + font-size: 0.75em; } + .title .tag, .title .docstring > section > a.docs-sourcelink, .title .content kbd, .content .title kbd, + .subtitle .tag, + .subtitle .docstring > section > a.docs-sourcelink, + .subtitle .content kbd, + .content .subtitle kbd { + vertical-align: middle; } + +.title { + color: #363636; + font-size: 2rem; + font-weight: 600; + line-height: 1.125; } + .title strong { + color: inherit; + font-weight: inherit; } + .title + .highlight { + margin-top: -0.75rem; } + .title:not(.is-spaced) + .subtitle { + margin-top: -1.25rem; } + .title.is-1 { + font-size: 3rem; } + .title.is-2 { + font-size: 2.5rem; } + .title.is-3 { + font-size: 2rem; } + .title.is-4 { + font-size: 1.5rem; } + .title.is-5 { + font-size: 1.25rem; } + .title.is-6 { + font-size: 1rem; } + .title.is-7 { + font-size: 0.75rem; } + +.subtitle { + color: #4a4a4a; + font-size: 1.25rem; + font-weight: 400; + line-height: 1.25; } + .subtitle strong { + color: #363636; + font-weight: 600; } + .subtitle:not(.is-spaced) + .title { + margin-top: -1.25rem; } + .subtitle.is-1 { + font-size: 3rem; } + .subtitle.is-2 { + font-size: 2.5rem; } + .subtitle.is-3 { + font-size: 2rem; } + .subtitle.is-4 { + font-size: 1.5rem; } + .subtitle.is-5 { + font-size: 1.25rem; } + .subtitle.is-6 { + font-size: 1rem; } + .subtitle.is-7 { + font-size: 0.75rem; } + +.heading { + display: block; + font-size: 11px; + letter-spacing: 1px; + margin-bottom: 5px; + text-transform: uppercase; } + +.highlight { + font-weight: 400; + max-width: 100%; + overflow: hidden; + padding: 0; } + .highlight pre { + overflow: auto; + max-width: 100%; } + +.number { + align-items: center; + background-color: whitesmoke; + border-radius: 290486px; + display: inline-flex; + font-size: 1.25rem; + height: 2em; + justify-content: center; + margin-right: 1.5rem; + min-width: 2.5em; + padding: 0.25rem 0.5rem; + text-align: center; + vertical-align: top; } + +.input, #documenter .docs-sidebar form.docs-search > input, .textarea, .select select { + background-color: white; + border-color: #dbdbdb; + border-radius: 4px; + color: #363636; } + .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, .textarea::-moz-placeholder, .select select::-moz-placeholder { + color: rgba(54, 54, 54, 0.3); } + .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .select select::-webkit-input-placeholder { + color: rgba(54, 54, 54, 0.3); } + .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, .textarea:-moz-placeholder, .select select:-moz-placeholder { + color: rgba(54, 54, 54, 0.3); } + .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, .textarea:-ms-input-placeholder, .select select:-ms-input-placeholder { + color: rgba(54, 54, 54, 0.3); } + .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .textarea:hover, .select select:hover, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered, .is-hovered.textarea, .select select.is-hovered { + border-color: #b5b5b5; } + .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .textarea:focus, .select select:focus, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.textarea, .select select.is-focused, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .textarea:active, .select select:active, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.textarea, .select select.is-active { + border-color: #2e63b8; + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .textarea[disabled], .select select[disabled], + fieldset[disabled] .input, + fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, + #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, + fieldset[disabled] .textarea, + fieldset[disabled] .select select, + .select fieldset[disabled] select { + background-color: whitesmoke; + border-color: whitesmoke; + box-shadow: none; + color: #6b6b6b; } + .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .select select[disabled]::-moz-placeholder, + fieldset[disabled] .input::-moz-placeholder, + fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, + #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder, + fieldset[disabled] .textarea::-moz-placeholder, + fieldset[disabled] .select select::-moz-placeholder, + .select fieldset[disabled] select::-moz-placeholder { + color: rgba(107, 107, 107, 0.3); } + .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .select select[disabled]::-webkit-input-placeholder, + fieldset[disabled] .input::-webkit-input-placeholder, + fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, + #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder, + fieldset[disabled] .textarea::-webkit-input-placeholder, + fieldset[disabled] .select select::-webkit-input-placeholder, + .select fieldset[disabled] select::-webkit-input-placeholder { + color: rgba(107, 107, 107, 0.3); } + .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .select select[disabled]:-moz-placeholder, + fieldset[disabled] .input:-moz-placeholder, + fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, + #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder, + fieldset[disabled] .textarea:-moz-placeholder, + fieldset[disabled] .select select:-moz-placeholder, + .select fieldset[disabled] select:-moz-placeholder { + color: rgba(107, 107, 107, 0.3); } + .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .select select[disabled]:-ms-input-placeholder, + fieldset[disabled] .input:-ms-input-placeholder, + fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, + #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder, + fieldset[disabled] .textarea:-ms-input-placeholder, + fieldset[disabled] .select select:-ms-input-placeholder, + .select fieldset[disabled] select:-ms-input-placeholder { + color: rgba(107, 107, 107, 0.3); } + +.input, #documenter .docs-sidebar form.docs-search > input, .textarea { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1); + max-width: 100%; + width: 100%; } + .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly], .textarea[readonly] { + box-shadow: none; } + .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white, .is-white.textarea { + border-color: white; } + .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.textarea:focus, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-white.is-focused, .is-white.is-focused.textarea, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.textarea:active, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-white.is-active, .is-white.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black, .is-black.textarea { + border-color: #0a0a0a; } + .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.textarea:focus, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-black.is-focused, .is-black.is-focused.textarea, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.textarea:active, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-black.is-active, .is-black.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light, .is-light.textarea { + border-color: whitesmoke; } + .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.textarea:focus, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-light.is-focused, .is-light.is-focused.textarea, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.textarea:active, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-light.is-active, .is-light.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } + .is-dark.input, .content kbd.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .is-dark.textarea, .content kbd.textarea { + border-color: #363636; } + .is-dark.input:focus, .content kbd.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.is-focused.input, .content kbd.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-dark.is-focused, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.input:active, .content kbd.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.is-active.input, .content kbd.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-dark.is-active, .is-dark.is-active.textarea, .content kbd.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } + .is-primary.input, .docstring > section > a.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary, .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink { + border-color: #4eb5de; } + .is-primary.input:focus, .docstring > section > a.input.docs-sourcelink:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.is-focused.input, .docstring > section > a.is-focused.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary.is-focused, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.input:active, .docstring > section > a.input.docs-sourcelink:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.is-active.input, .docstring > section > a.is-active.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary.is-active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink { + box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } + .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link, .is-link.textarea { + border-color: #2e63b8; } + .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.textarea:focus, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-link.is-focused, .is-link.is-focused.textarea, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.textarea:active, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-link.is-active, .is-link.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info, .is-info.textarea { + border-color: #209cee; } + .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.textarea:focus, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-info.is-focused, .is-info.is-focused.textarea, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.textarea:active, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-info.is-active, .is-info.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } + .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success, .is-success.textarea { + border-color: #22c35b; } + .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.textarea:focus, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-success.is-focused, .is-success.is-focused.textarea, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.textarea:active, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-success.is-active, .is-success.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } + .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning, .is-warning.textarea { + border-color: #ffdd57; } + .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.textarea:focus, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-warning.is-focused, .is-warning.is-focused.textarea, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.textarea:active, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-warning.is-active, .is-warning.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } + .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger, .is-danger.textarea { + border-color: #da0b00; } + .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.textarea:focus, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-danger.is-focused, .is-danger.is-focused.textarea, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.textarea:active, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-danger.is-active, .is-danger.is-active.textarea { + box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } + .is-small.input, #documenter .docs-sidebar form.docs-search > input, .is-small.textarea { + border-radius: 2px; + font-size: 0.75rem; } + .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium, .is-medium.textarea { + font-size: 1.25rem; } + .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large, .is-large.textarea { + font-size: 1.5rem; } + .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth, .is-fullwidth.textarea { + display: block; + width: 100%; } + .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline, .is-inline.textarea { + display: inline; + width: auto; } + +.input.is-rounded, #documenter .docs-sidebar form.docs-search > input { + border-radius: 290486px; + padding-left: 1em; + padding-right: 1em; } + +.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static { + background-color: transparent; + border-color: transparent; + box-shadow: none; + padding-left: 0; + padding-right: 0; } + +.textarea { + display: block; + max-width: 100%; + min-width: 100%; + padding: 0.625em; + resize: vertical; } + .textarea:not([rows]) { + max-height: 600px; + min-height: 120px; } + .textarea[rows] { + height: initial; } + .textarea.has-fixed-size { + resize: none; } + +.checkbox, .radio { + cursor: pointer; + display: inline-block; + line-height: 1.25; + position: relative; } + .checkbox input, .radio input { + cursor: pointer; } + .checkbox:hover, .radio:hover { + color: #363636; } + .checkbox[disabled], .radio[disabled], + fieldset[disabled] .checkbox, + fieldset[disabled] .radio { + color: #6b6b6b; + cursor: not-allowed; } + +.radio + .radio { + margin-left: 0.5em; } + +.select { + display: inline-block; + max-width: 100%; + position: relative; + vertical-align: top; } + .select:not(.is-multiple) { + height: 2.25em; } + .select:not(.is-multiple):not(.is-loading)::after { + border-color: #2e63b8; + right: 1.125em; + z-index: 4; } + .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select { + border-radius: 290486px; + padding-left: 1em; } + .select select { + cursor: pointer; + display: block; + font-size: 1em; + max-width: 100%; + outline: none; } + .select select::-ms-expand { + display: none; } + .select select[disabled]:hover, + fieldset[disabled] .select select:hover { + border-color: whitesmoke; } + .select select:not([multiple]) { + padding-right: 2.5em; } + .select select[multiple] { + height: auto; + padding: 0; } + .select select[multiple] option { + padding: 0.5em 1em; } + .select:not(.is-multiple):not(.is-loading):hover::after { + border-color: #363636; } + .select.is-white:not(:hover)::after { + border-color: white; } + .select.is-white select { + border-color: white; } + .select.is-white select:hover, .select.is-white select.is-hovered { + border-color: #f2f2f2; } + .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } + .select.is-black:not(:hover)::after { + border-color: #0a0a0a; } + .select.is-black select { + border-color: #0a0a0a; } + .select.is-black select:hover, .select.is-black select.is-hovered { + border-color: black; } + .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active { + box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } + .select.is-light:not(:hover)::after { + border-color: whitesmoke; } + .select.is-light select { + border-color: whitesmoke; } + .select.is-light select:hover, .select.is-light select.is-hovered { + border-color: #e8e8e8; } + .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active { + box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } + .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after { + border-color: #363636; } + .select.is-dark select, .content kbd.select select { + border-color: #363636; } + .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered { + border-color: #292929; } + .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active { + box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } + .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after { + border-color: #4eb5de; } + .select.is-primary select, .docstring > section > a.select.docs-sourcelink select { + border-color: #4eb5de; } + .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered { + border-color: #39acda; } + .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active { + box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } + .select.is-link:not(:hover)::after { + border-color: #2e63b8; } + .select.is-link select { + border-color: #2e63b8; } + .select.is-link select:hover, .select.is-link select.is-hovered { + border-color: #2958a4; } + .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active { + box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } + .select.is-info:not(:hover)::after { + border-color: #209cee; } + .select.is-info select { + border-color: #209cee; } + .select.is-info select:hover, .select.is-info select.is-hovered { + border-color: #1190e3; } + .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active { + box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } + .select.is-success:not(:hover)::after { + border-color: #22c35b; } + .select.is-success select { + border-color: #22c35b; } + .select.is-success select:hover, .select.is-success select.is-hovered { + border-color: #1ead51; } + .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active { + box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } + .select.is-warning:not(:hover)::after { + border-color: #ffdd57; } + .select.is-warning select { + border-color: #ffdd57; } + .select.is-warning select:hover, .select.is-warning select.is-hovered { + border-color: #ffd83e; } + .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active { + box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } + .select.is-danger:not(:hover)::after { + border-color: #da0b00; } + .select.is-danger select { + border-color: #da0b00; } + .select.is-danger select:hover, .select.is-danger select.is-hovered { + border-color: #c10a00; } + .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active { + box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } + .select.is-small, #documenter .docs-sidebar form.docs-search > input.select { + border-radius: 2px; + font-size: 0.75rem; } + .select.is-medium { + font-size: 1.25rem; } + .select.is-large { + font-size: 1.5rem; } + .select.is-disabled::after { + border-color: #6b6b6b; } + .select.is-fullwidth { + width: 100%; } + .select.is-fullwidth select { + width: 100%; } + .select.is-loading::after { + margin-top: 0; + position: absolute; + right: 0.625em; + top: 0.625em; + transform: none; } + .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.select.is-loading:after { + font-size: 0.75rem; } + .select.is-loading.is-medium:after { + font-size: 1.25rem; } + .select.is-loading.is-large:after { + font-size: 1.5rem; } + +.file { + align-items: stretch; + display: flex; + justify-content: flex-start; + position: relative; } + .file.is-white .file-cta { + background-color: white; + border-color: transparent; + color: #0a0a0a; } + .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta { + background-color: #f9f9f9; + border-color: transparent; + color: #0a0a0a; } + .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25); + color: #0a0a0a; } + .file.is-white:active .file-cta, .file.is-white.is-active .file-cta { + background-color: #f2f2f2; + border-color: transparent; + color: #0a0a0a; } + .file.is-black .file-cta { + background-color: #0a0a0a; + border-color: transparent; + color: white; } + .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta { + background-color: #040404; + border-color: transparent; + color: white; } + .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25); + color: white; } + .file.is-black:active .file-cta, .file.is-black.is-active .file-cta { + background-color: black; + border-color: transparent; + color: white; } + .file.is-light .file-cta { + background-color: whitesmoke; + border-color: transparent; + color: #363636; } + .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta { + background-color: #eeeeee; + border-color: transparent; + color: #363636; } + .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25); + color: #363636; } + .file.is-light:active .file-cta, .file.is-light.is-active .file-cta { + background-color: #e8e8e8; + border-color: transparent; + color: #363636; } + .file.is-dark .file-cta, .content kbd.file .file-cta { + background-color: #363636; + border-color: transparent; + color: whitesmoke; } + .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta { + background-color: #2f2f2f; + border-color: transparent; + color: whitesmoke; } + .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25); + color: whitesmoke; } + .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta { + background-color: #292929; + border-color: transparent; + color: whitesmoke; } + .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta { + background-color: #4eb5de; + border-color: transparent; + color: #fff; } + .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta { + background-color: #43b1dc; + border-color: transparent; + color: #fff; } + .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25); + color: #fff; } + .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta { + background-color: #39acda; + border-color: transparent; + color: #fff; } + .file.is-link .file-cta { + background-color: #2e63b8; + border-color: transparent; + color: #fff; } + .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta { + background-color: #2b5eae; + border-color: transparent; + color: #fff; } + .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25); + color: #fff; } + .file.is-link:active .file-cta, .file.is-link.is-active .file-cta { + background-color: #2958a4; + border-color: transparent; + color: #fff; } + .file.is-info .file-cta { + background-color: #209cee; + border-color: transparent; + color: #fff; } + .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta { + background-color: #1497ed; + border-color: transparent; + color: #fff; } + .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25); + color: #fff; } + .file.is-info:active .file-cta, .file.is-info.is-active .file-cta { + background-color: #1190e3; + border-color: transparent; + color: #fff; } + .file.is-success .file-cta { + background-color: #22c35b; + border-color: transparent; + color: #fff; } + .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta { + background-color: #20b856; + border-color: transparent; + color: #fff; } + .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25); + color: #fff; } + .file.is-success:active .file-cta, .file.is-success.is-active .file-cta { + background-color: #1ead51; + border-color: transparent; + color: #fff; } + .file.is-warning .file-cta { + background-color: #ffdd57; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta { + background-color: #ffda4a; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25); + color: rgba(0, 0, 0, 0.7); } + .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta { + background-color: #ffd83e; + border-color: transparent; + color: rgba(0, 0, 0, 0.7); } + .file.is-danger .file-cta { + background-color: #da0b00; + border-color: transparent; + color: #fff; } + .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta { + background-color: #cd0a00; + border-color: transparent; + color: #fff; } + .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta { + border-color: transparent; + box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25); + color: #fff; } + .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta { + background-color: #c10a00; + border-color: transparent; + color: #fff; } + .file.is-small, #documenter .docs-sidebar form.docs-search > input.file { + font-size: 0.75rem; } + .file.is-medium { + font-size: 1.25rem; } + .file.is-medium .file-icon .fa { + font-size: 21px; } + .file.is-large { + font-size: 1.5rem; } + .file.is-large .file-icon .fa { + font-size: 28px; } + .file.has-name .file-cta { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + .file.has-name .file-name { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + .file.has-name.is-empty .file-cta { + border-radius: 4px; } + .file.has-name.is-empty .file-name { + display: none; } + .file.is-boxed .file-label { + flex-direction: column; } + .file.is-boxed .file-cta { + flex-direction: column; + height: auto; + padding: 1em 3em; } + .file.is-boxed .file-name { + border-width: 0 1px 1px; } + .file.is-boxed .file-icon { + height: 1.5em; + width: 1.5em; } + .file.is-boxed .file-icon .fa { + font-size: 21px; } + .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.file.is-boxed .file-icon .fa { + font-size: 14px; } + .file.is-boxed.is-medium .file-icon .fa { + font-size: 28px; } + .file.is-boxed.is-large .file-icon .fa { + font-size: 35px; } + .file.is-boxed.has-name .file-cta { + border-radius: 4px 4px 0 0; } + .file.is-boxed.has-name .file-name { + border-radius: 0 0 4px 4px; + border-width: 0 1px 1px; } + .file.is-centered { + justify-content: center; } + .file.is-fullwidth .file-label { + width: 100%; } + .file.is-fullwidth .file-name { + flex-grow: 1; + max-width: none; } + .file.is-right { + justify-content: flex-end; } + .file.is-right .file-cta { + border-radius: 0 4px 4px 0; } + .file.is-right .file-name { + border-radius: 4px 0 0 4px; + border-width: 1px 0 1px 1px; + order: -1; } + +.file-label { + align-items: stretch; + display: flex; + cursor: pointer; + justify-content: flex-start; + overflow: hidden; + position: relative; } + .file-label:hover .file-cta { + background-color: #eeeeee; + color: #363636; } + .file-label:hover .file-name { + border-color: #d5d5d5; } + .file-label:active .file-cta { + background-color: #e8e8e8; + color: #363636; } + .file-label:active .file-name { + border-color: #cfcfcf; } + +.file-input { + height: 100%; + left: 0; + opacity: 0; + outline: none; + position: absolute; + top: 0; + width: 100%; } + +.file-cta, +.file-name { + border-color: #dbdbdb; + border-radius: 4px; + font-size: 1em; + padding-left: 1em; + padding-right: 1em; + white-space: nowrap; } + +.file-cta { + background-color: whitesmoke; + color: #4a4a4a; } + +.file-name { + border-color: #dbdbdb; + border-style: solid; + border-width: 1px 1px 1px 0; + display: block; + max-width: 16em; + overflow: hidden; + text-align: left; + text-overflow: ellipsis; } + +.file-icon { + align-items: center; + display: flex; + height: 1em; + justify-content: center; + margin-right: 0.5em; + width: 1em; } + .file-icon .fa { + font-size: 14px; } + +.label { + color: #363636; + display: block; + font-size: 1rem; + font-weight: 700; } + .label:not(:last-child) { + margin-bottom: 0.5em; } + .label.is-small, #documenter .docs-sidebar form.docs-search > input.label { + font-size: 0.75rem; } + .label.is-medium { + font-size: 1.25rem; } + .label.is-large { + font-size: 1.5rem; } + +.help { + display: block; + font-size: 0.75rem; + margin-top: 0.25rem; } + .help.is-white { + color: white; } + .help.is-black { + color: #0a0a0a; } + .help.is-light { + color: whitesmoke; } + .help.is-dark, .content kbd.help { + color: #363636; } + .help.is-primary, .docstring > section > a.help.docs-sourcelink { + color: #4eb5de; } + .help.is-link { + color: #2e63b8; } + .help.is-info { + color: #209cee; } + .help.is-success { + color: #22c35b; } + .help.is-warning { + color: #ffdd57; } + .help.is-danger { + color: #da0b00; } + +.field:not(:last-child) { + margin-bottom: 0.75rem; } + +.field.has-addons { + display: flex; + justify-content: flex-start; } + .field.has-addons .control:not(:last-child) { + margin-right: -1px; } + .field.has-addons .control:not(:first-child):not(:last-child) .button, + .field.has-addons .control:not(:first-child):not(:last-child) .input, + .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input, + #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input, + .field.has-addons .control:not(:first-child):not(:last-child) .select select { + border-radius: 0; } + .field.has-addons .control:first-child:not(:only-child) .button, + .field.has-addons .control:first-child:not(:only-child) .input, + .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, + #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input, + .field.has-addons .control:first-child:not(:only-child) .select select { + border-bottom-right-radius: 0; + border-top-right-radius: 0; } + .field.has-addons .control:last-child:not(:only-child) .button, + .field.has-addons .control:last-child:not(:only-child) .input, + .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, + #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input, + .field.has-addons .control:last-child:not(:only-child) .select select { + border-bottom-left-radius: 0; + border-top-left-radius: 0; } + .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button:not([disabled]).is-hovered, + .field.has-addons .control .input:not([disabled]):hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover, + .field.has-addons .control .input:not([disabled]).is-hovered, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-hovered, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-hovered, + .field.has-addons .control .select select:not([disabled]):hover, + .field.has-addons .control .select select:not([disabled]).is-hovered { + z-index: 2; } + .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button:not([disabled]).is-focused, .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button:not([disabled]).is-active, + .field.has-addons .control .input:not([disabled]):focus, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus, + .field.has-addons .control .input:not([disabled]).is-focused, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused, + .field.has-addons .control .input:not([disabled]):active, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active, + .field.has-addons .control .input:not([disabled]).is-active, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active, + .field.has-addons .control .select select:not([disabled]):focus, + .field.has-addons .control .select select:not([disabled]).is-focused, + .field.has-addons .control .select select:not([disabled]):active, + .field.has-addons .control .select select:not([disabled]).is-active { + z-index: 3; } + .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button:not([disabled]).is-focused:hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button:not([disabled]).is-active:hover, + .field.has-addons .control .input:not([disabled]):focus:hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover, + .field.has-addons .control .input:not([disabled]).is-focused:hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused:hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused:hover, + .field.has-addons .control .input:not([disabled]):active:hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover, + .field.has-addons .control .input:not([disabled]).is-active:hover, + .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active:hover, + #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active:hover, + .field.has-addons .control .select select:not([disabled]):focus:hover, + .field.has-addons .control .select select:not([disabled]).is-focused:hover, + .field.has-addons .control .select select:not([disabled]):active:hover, + .field.has-addons .control .select select:not([disabled]).is-active:hover { + z-index: 4; } + .field.has-addons .control.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + .field.has-addons.has-addons-centered { + justify-content: center; } + .field.has-addons.has-addons-right { + justify-content: flex-end; } + .field.has-addons.has-addons-fullwidth .control { + flex-grow: 1; + flex-shrink: 0; } + +.field.is-grouped { + display: flex; + justify-content: flex-start; } + .field.is-grouped > .control { + flex-shrink: 0; } + .field.is-grouped > .control:not(:last-child) { + margin-bottom: 0; + margin-right: 0.75rem; } + .field.is-grouped > .control.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + .field.is-grouped.is-grouped-centered { + justify-content: center; } + .field.is-grouped.is-grouped-right { + justify-content: flex-end; } + .field.is-grouped.is-grouped-multiline { + flex-wrap: wrap; } + .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) { + margin-bottom: 0.75rem; } + .field.is-grouped.is-grouped-multiline:last-child { + margin-bottom: -0.75rem; } + .field.is-grouped.is-grouped-multiline:not(:last-child) { + margin-bottom: 0; } + +@media screen and (min-width: 769px), print { + .field.is-horizontal { + display: flex; } } + +.field-label .label { + font-size: inherit; } + +@media screen and (max-width: 768px) { + .field-label { + margin-bottom: 0.5rem; } } + +@media screen and (min-width: 769px), print { + .field-label { + flex-basis: 0; + flex-grow: 1; + flex-shrink: 0; + margin-right: 1.5rem; + text-align: right; } + .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label { + font-size: 0.75rem; + padding-top: 0.375em; } + .field-label.is-normal { + padding-top: 0.375em; } + .field-label.is-medium { + font-size: 1.25rem; + padding-top: 0.375em; } + .field-label.is-large { + font-size: 1.5rem; + padding-top: 0.375em; } } + +.field-body .field .field { + margin-bottom: 0; } + +@media screen and (min-width: 769px), print { + .field-body { + display: flex; + flex-basis: 0; + flex-grow: 5; + flex-shrink: 1; } + .field-body .field { + margin-bottom: 0; } + .field-body > .field { + flex-shrink: 1; } + .field-body > .field:not(.is-narrow) { + flex-grow: 1; } + .field-body > .field:not(:last-child) { + margin-right: 0.75rem; } } + +.control { + box-sizing: border-box; + clear: both; + font-size: 1rem; + position: relative; + text-align: left; } + .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon, + .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon, + .control.has-icons-right .select:focus ~ .icon { + color: #6b6b6b; } + .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon, + .control.has-icons-left .select.is-small ~ .icon, + .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.select ~ .icon, + #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.select ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon, + .control.has-icons-right .select.is-small ~ .icon, + .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.select ~ .icon, + #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.select ~ .icon { + font-size: 0.75rem; } + .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon, + .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon, + .control.has-icons-right .select.is-medium ~ .icon { + font-size: 1.25rem; } + .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon, + .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon, + .control.has-icons-right .select.is-large ~ .icon { + font-size: 1.5rem; } + .control.has-icons-left .icon, .control.has-icons-right .icon { + color: #dbdbdb; + height: 2.25em; + pointer-events: none; + position: absolute; + top: 0; + width: 2.25em; + z-index: 4; } + .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input, + .control.has-icons-left .select select { + padding-left: 2.25em; } + .control.has-icons-left .icon.is-left { + left: 0; } + .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input, + .control.has-icons-right .select select { + padding-right: 2.25em; } + .control.has-icons-right .icon.is-right { + right: 0; } + .control.is-loading::after { + position: absolute !important; + right: 0.625em; + top: 0.625em; + z-index: 4; } + .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.control.is-loading:after { + font-size: 0.75rem; } + .control.is-loading.is-medium:after { + font-size: 1.25rem; } + .control.is-loading.is-large:after { + font-size: 1.5rem; } + +.breadcrumb { + font-size: 1rem; + white-space: nowrap; } + .breadcrumb a { + align-items: center; + color: #2e63b8; + display: flex; + justify-content: center; + padding: 0 0.75em; } + .breadcrumb a:hover { + color: #363636; } + .breadcrumb li { + align-items: center; + display: flex; } + .breadcrumb li:first-child a { + padding-left: 0; } + .breadcrumb li.is-active a { + color: #222222; + cursor: default; + pointer-events: none; } + .breadcrumb li + li::before { + color: #b5b5b5; + content: "\0002f"; } + .breadcrumb ul, + .breadcrumb ol { + align-items: flex-start; + display: flex; + flex-wrap: wrap; + justify-content: flex-start; } + .breadcrumb .icon:first-child { + margin-right: 0.5em; } + .breadcrumb .icon:last-child { + margin-left: 0.5em; } + .breadcrumb.is-centered ol, + .breadcrumb.is-centered ul { + justify-content: center; } + .breadcrumb.is-right ol, + .breadcrumb.is-right ul { + justify-content: flex-end; } + .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb { + font-size: 0.75rem; } + .breadcrumb.is-medium { + font-size: 1.25rem; } + .breadcrumb.is-large { + font-size: 1.5rem; } + .breadcrumb.has-arrow-separator li + li::before { + content: "\02192"; } + .breadcrumb.has-bullet-separator li + li::before { + content: "\02022"; } + .breadcrumb.has-dot-separator li + li::before { + content: "\000b7"; } + .breadcrumb.has-succeeds-separator li + li::before { + content: "\0227B"; } + +.card { + background-color: white; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + color: #222222; + max-width: 100%; + position: relative; } + +.card-header { + background-color: transparent; + align-items: stretch; + box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); + display: flex; } + +.card-header-title { + align-items: center; + color: #222222; + display: flex; + flex-grow: 1; + font-weight: 700; + padding: 0.75rem; } + .card-header-title.is-centered { + justify-content: center; } + +.card-header-icon { + align-items: center; + cursor: pointer; + display: flex; + justify-content: center; + padding: 0.75rem; } + +.card-image { + display: block; + position: relative; } + +.card-content { + background-color: transparent; + padding: 1rem 1.25rem; } + +.card-footer { + background-color: transparent; + border-top: 1px solid #dbdbdb; + align-items: stretch; + display: flex; } + +.card-footer-item { + align-items: center; + display: flex; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 0; + justify-content: center; + padding: 0.75rem; } + .card-footer-item:not(:last-child) { + border-right: 1px solid #dbdbdb; } + +.card .media:not(:last-child) { + margin-bottom: 1.5rem; } + +.dropdown { + display: inline-flex; + position: relative; + vertical-align: top; } + .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu { + display: block; } + .dropdown.is-right .dropdown-menu { + left: auto; + right: 0; } + .dropdown.is-up .dropdown-menu { + bottom: 100%; + padding-bottom: 4px; + padding-top: initial; + top: auto; } + +.dropdown-menu { + display: none; + left: 0; + min-width: 12rem; + padding-top: 4px; + position: absolute; + top: 100%; + z-index: 20; } + +.dropdown-content { + background-color: white; + border-radius: 4px; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + padding-bottom: 0.5rem; + padding-top: 0.5rem; } + +.dropdown-item { + color: #4a4a4a; + display: block; + font-size: 0.875rem; + line-height: 1.5; + padding: 0.375rem 1rem; + position: relative; } + +a.dropdown-item, +button.dropdown-item { + padding-right: 3rem; + text-align: left; + white-space: nowrap; + width: 100%; } + a.dropdown-item:hover, + button.dropdown-item:hover { + background-color: whitesmoke; + color: #0a0a0a; } + a.dropdown-item.is-active, + button.dropdown-item.is-active { + background-color: #2e63b8; + color: #fff; } + +.dropdown-divider { + background-color: #dbdbdb; + border: none; + display: block; + height: 1px; + margin: 0.5rem 0; } + +.level { + align-items: center; + justify-content: space-between; } + .level code { + border-radius: 4px; } + .level img { + display: inline-block; + vertical-align: top; } + .level.is-mobile { + display: flex; } + .level.is-mobile .level-left, + .level.is-mobile .level-right { + display: flex; } + .level.is-mobile .level-left + .level-right { + margin-top: 0; } + .level.is-mobile .level-item:not(:last-child) { + margin-bottom: 0; + margin-right: 0.75rem; } + .level.is-mobile .level-item:not(.is-narrow) { + flex-grow: 1; } + @media screen and (min-width: 769px), print { + .level { + display: flex; } + .level > .level-item:not(.is-narrow) { + flex-grow: 1; } } + +.level-item { + align-items: center; + display: flex; + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; + justify-content: center; } + .level-item .title, + .level-item .subtitle { + margin-bottom: 0; } + @media screen and (max-width: 768px) { + .level-item:not(:last-child) { + margin-bottom: 0.75rem; } } + +.level-left, +.level-right { + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; } + .level-left .level-item.is-flexible, + .level-right .level-item.is-flexible { + flex-grow: 1; } + @media screen and (min-width: 769px), print { + .level-left .level-item:not(:last-child), + .level-right .level-item:not(:last-child) { + margin-right: 0.75rem; } } + +.level-left { + align-items: center; + justify-content: flex-start; } + @media screen and (max-width: 768px) { + .level-left + .level-right { + margin-top: 1.5rem; } } + @media screen and (min-width: 769px), print { + .level-left { + display: flex; } } + +.level-right { + align-items: center; + justify-content: flex-end; } + @media screen and (min-width: 769px), print { + .level-right { + display: flex; } } + +.list { + background-color: white; + border-radius: 4px; + box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); } + +.list-item { + display: block; + padding: 0.5em 1em; } + .list-item:not(a) { + color: #222222; } + .list-item:first-child { + border-top-left-radius: 4px; + border-top-right-radius: 4px; } + .list-item:last-child { + border-bottom-left-radius: 4px; + border-bottom-right-radius: 4px; } + .list-item:not(:last-child) { + border-bottom: 1px solid #dbdbdb; } + .list-item.is-active { + background-color: #2e63b8; + color: #fff; } + +a.list-item { + background-color: whitesmoke; + cursor: pointer; } + +.media { + align-items: flex-start; + display: flex; + text-align: left; } + .media .content:not(:last-child) { + margin-bottom: 0.75rem; } + .media .media { + border-top: 1px solid rgba(219, 219, 219, 0.5); + display: flex; + padding-top: 0.75rem; } + .media .media .content:not(:last-child), + .media .media .control:not(:last-child) { + margin-bottom: 0.5rem; } + .media .media .media { + padding-top: 0.5rem; } + .media .media .media + .media { + margin-top: 0.5rem; } + .media + .media { + border-top: 1px solid rgba(219, 219, 219, 0.5); + margin-top: 1rem; + padding-top: 1rem; } + .media.is-large + .media { + margin-top: 1.5rem; + padding-top: 1.5rem; } + +.media-left, +.media-right { + flex-basis: auto; + flex-grow: 0; + flex-shrink: 0; } + +.media-left { + margin-right: 1rem; } + +.media-right { + margin-left: 1rem; } + +.media-content { + flex-basis: auto; + flex-grow: 1; + flex-shrink: 1; + text-align: left; } + +@media screen and (max-width: 768px) { + .media-content { + overflow-x: auto; } } + +.menu { + font-size: 1rem; } + .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu { + font-size: 0.75rem; } + .menu.is-medium { + font-size: 1.25rem; } + .menu.is-large { + font-size: 1.5rem; } + +.menu-list { + line-height: 1.25; } + .menu-list a { + border-radius: 2px; + color: #222222; + display: block; + padding: 0.5em 0.75em; } + .menu-list a:hover { + background-color: whitesmoke; + color: #222222; } + .menu-list a.is-active { + background-color: #2e63b8; + color: #fff; } + .menu-list li ul { + border-left: 1px solid #dbdbdb; + margin: 0.75em; + padding-left: 0.75em; } + +.menu-label { + color: #6b6b6b; + font-size: 0.75em; + letter-spacing: 0.1em; + text-transform: uppercase; } + .menu-label:not(:first-child) { + margin-top: 1em; } + .menu-label:not(:last-child) { + margin-bottom: 1em; } + +.message { + background-color: whitesmoke; + border-radius: 4px; + font-size: 1rem; } + .message strong { + color: currentColor; } + .message a:not(.button):not(.tag):not(.dropdown-item) { + color: currentColor; + text-decoration: underline; } + .message.is-small, #documenter .docs-sidebar form.docs-search > input.message { + font-size: 0.75rem; } + .message.is-medium { + font-size: 1.25rem; } + .message.is-large { + font-size: 1.5rem; } + .message.is-white { + background-color: white; } + .message.is-white .message-header { + background-color: white; + color: #0a0a0a; } + .message.is-white .message-body { + border-color: white; + color: #4d4d4d; } + .message.is-black { + background-color: #fafafa; } + .message.is-black .message-header { + background-color: #0a0a0a; + color: white; } + .message.is-black .message-body { + border-color: #0a0a0a; + color: #090909; } + .message.is-light { + background-color: #fafafa; } + .message.is-light .message-header { + background-color: whitesmoke; + color: #363636; } + .message.is-light .message-body { + border-color: whitesmoke; + color: #505050; } + .message.is-dark, .content kbd.message { + background-color: #fafafa; } + .message.is-dark .message-header, .content kbd.message .message-header { + background-color: #363636; + color: whitesmoke; } + .message.is-dark .message-body, .content kbd.message .message-body { + border-color: #363636; + color: #2a2a2a; } + .message.is-primary, .docstring > section > a.message.docs-sourcelink { + background-color: #f6fbfd; } + .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header { + background-color: #4eb5de; + color: #fff; } + .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body { + border-color: #4eb5de; + color: #1f556a; } + .message.is-link { + background-color: #f7f9fd; } + .message.is-link .message-header { + background-color: #2e63b8; + color: #fff; } + .message.is-link .message-body { + border-color: #2e63b8; + color: #264981; } + .message.is-info { + background-color: #f6fbfe; } + .message.is-info .message-header { + background-color: #209cee; + color: #fff; } + .message.is-info .message-body { + border-color: #209cee; + color: #12537d; } + .message.is-success { + background-color: #f6fdf9; } + .message.is-success .message-header { + background-color: #22c35b; + color: #fff; } + .message.is-success .message-body { + border-color: #22c35b; + color: #0f361d; } + .message.is-warning { + background-color: #fffdf5; } + .message.is-warning .message-header { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .message.is-warning .message-body { + border-color: #ffdd57; + color: #3c3108; } + .message.is-danger { + background-color: #fff5f5; } + .message.is-danger .message-header { + background-color: #da0b00; + color: #fff; } + .message.is-danger .message-body { + border-color: #da0b00; + color: #9b0c04; } + +.message-header { + align-items: center; + background-color: #222222; + border-radius: 4px 4px 0 0; + color: #fff; + display: flex; + font-weight: 700; + justify-content: space-between; + line-height: 1.25; + padding: 0.75em; + position: relative; } + .message-header .delete { + flex-grow: 0; + flex-shrink: 0; + margin-left: 0.75em; } + .message-header + .message-body { + border-width: 0; + border-top-left-radius: 0; + border-top-right-radius: 0; } + +.message-body { + border-color: #dbdbdb; + border-radius: 4px; + border-style: solid; + border-width: 0 0 0 4px; + color: #222222; + padding: 1em 1.25em; } + .message-body code, + .message-body pre { + background-color: white; } + .message-body pre code { + background-color: transparent; } + +.modal { + align-items: center; + display: none; + flex-direction: column; + justify-content: center; + overflow: hidden; + position: fixed; + z-index: 40; } + .modal.is-active { + display: flex; } + +.modal-background { + background-color: rgba(10, 10, 10, 0.86); } + +.modal-content, +.modal-card { + margin: 0 20px; + max-height: calc(100vh - 160px); + overflow: auto; + position: relative; + width: 100%; } + @media screen and (min-width: 769px), print { + .modal-content, + .modal-card { + margin: 0 auto; + max-height: calc(100vh - 40px); + width: 640px; } } + +.modal-close { + background: none; + height: 40px; + position: fixed; + right: 20px; + top: 20px; + width: 40px; } + +.modal-card { + display: flex; + flex-direction: column; + max-height: calc(100vh - 40px); + overflow: hidden; + -ms-overflow-y: visible; } + +.modal-card-head, +.modal-card-foot { + align-items: center; + background-color: whitesmoke; + display: flex; + flex-shrink: 0; + justify-content: flex-start; + padding: 20px; + position: relative; } + +.modal-card-head { + border-bottom: 1px solid #dbdbdb; + border-top-left-radius: 6px; + border-top-right-radius: 6px; } + +.modal-card-title { + color: #222222; + flex-grow: 1; + flex-shrink: 0; + font-size: 1.5rem; + line-height: 1; } + +.modal-card-foot { + border-bottom-left-radius: 6px; + border-bottom-right-radius: 6px; + border-top: 1px solid #dbdbdb; } + .modal-card-foot .button:not(:last-child) { + margin-right: 0.5em; } + +.modal-card-body { + -webkit-overflow-scrolling: touch; + background-color: white; + flex-grow: 1; + flex-shrink: 1; + overflow: auto; + padding: 20px; } + +.navbar { + background-color: white; + min-height: 3.25rem; + position: relative; + z-index: 30; } + .navbar.is-white { + background-color: white; + color: #0a0a0a; } + .navbar.is-white .navbar-brand > .navbar-item, + .navbar.is-white .navbar-brand .navbar-link { + color: #0a0a0a; } + .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active, + .navbar.is-white .navbar-brand .navbar-link:focus, + .navbar.is-white .navbar-brand .navbar-link:hover, + .navbar.is-white .navbar-brand .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + .navbar.is-white .navbar-brand .navbar-link::after { + border-color: #0a0a0a; } + .navbar.is-white .navbar-burger { + color: #0a0a0a; } + @media screen and (min-width: 1056px) { + .navbar.is-white .navbar-start > .navbar-item, + .navbar.is-white .navbar-start .navbar-link, + .navbar.is-white .navbar-end > .navbar-item, + .navbar.is-white .navbar-end .navbar-link { + color: #0a0a0a; } + .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active, + .navbar.is-white .navbar-start .navbar-link:focus, + .navbar.is-white .navbar-start .navbar-link:hover, + .navbar.is-white .navbar-start .navbar-link.is-active, + .navbar.is-white .navbar-end > a.navbar-item:focus, + .navbar.is-white .navbar-end > a.navbar-item:hover, + .navbar.is-white .navbar-end > a.navbar-item.is-active, + .navbar.is-white .navbar-end .navbar-link:focus, + .navbar.is-white .navbar-end .navbar-link:hover, + .navbar.is-white .navbar-end .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + .navbar.is-white .navbar-start .navbar-link::after, + .navbar.is-white .navbar-end .navbar-link::after { + border-color: #0a0a0a; } + .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #f2f2f2; + color: #0a0a0a; } + .navbar.is-white .navbar-dropdown a.navbar-item.is-active { + background-color: white; + color: #0a0a0a; } } + .navbar.is-black { + background-color: #0a0a0a; + color: white; } + .navbar.is-black .navbar-brand > .navbar-item, + .navbar.is-black .navbar-brand .navbar-link { + color: white; } + .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active, + .navbar.is-black .navbar-brand .navbar-link:focus, + .navbar.is-black .navbar-brand .navbar-link:hover, + .navbar.is-black .navbar-brand .navbar-link.is-active { + background-color: black; + color: white; } + .navbar.is-black .navbar-brand .navbar-link::after { + border-color: white; } + .navbar.is-black .navbar-burger { + color: white; } + @media screen and (min-width: 1056px) { + .navbar.is-black .navbar-start > .navbar-item, + .navbar.is-black .navbar-start .navbar-link, + .navbar.is-black .navbar-end > .navbar-item, + .navbar.is-black .navbar-end .navbar-link { + color: white; } + .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active, + .navbar.is-black .navbar-start .navbar-link:focus, + .navbar.is-black .navbar-start .navbar-link:hover, + .navbar.is-black .navbar-start .navbar-link.is-active, + .navbar.is-black .navbar-end > a.navbar-item:focus, + .navbar.is-black .navbar-end > a.navbar-item:hover, + .navbar.is-black .navbar-end > a.navbar-item.is-active, + .navbar.is-black .navbar-end .navbar-link:focus, + .navbar.is-black .navbar-end .navbar-link:hover, + .navbar.is-black .navbar-end .navbar-link.is-active { + background-color: black; + color: white; } + .navbar.is-black .navbar-start .navbar-link::after, + .navbar.is-black .navbar-end .navbar-link::after { + border-color: white; } + .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link { + background-color: black; + color: white; } + .navbar.is-black .navbar-dropdown a.navbar-item.is-active { + background-color: #0a0a0a; + color: white; } } + .navbar.is-light { + background-color: whitesmoke; + color: #363636; } + .navbar.is-light .navbar-brand > .navbar-item, + .navbar.is-light .navbar-brand .navbar-link { + color: #363636; } + .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active, + .navbar.is-light .navbar-brand .navbar-link:focus, + .navbar.is-light .navbar-brand .navbar-link:hover, + .navbar.is-light .navbar-brand .navbar-link.is-active { + background-color: #e8e8e8; + color: #363636; } + .navbar.is-light .navbar-brand .navbar-link::after { + border-color: #363636; } + .navbar.is-light .navbar-burger { + color: #363636; } + @media screen and (min-width: 1056px) { + .navbar.is-light .navbar-start > .navbar-item, + .navbar.is-light .navbar-start .navbar-link, + .navbar.is-light .navbar-end > .navbar-item, + .navbar.is-light .navbar-end .navbar-link { + color: #363636; } + .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active, + .navbar.is-light .navbar-start .navbar-link:focus, + .navbar.is-light .navbar-start .navbar-link:hover, + .navbar.is-light .navbar-start .navbar-link.is-active, + .navbar.is-light .navbar-end > a.navbar-item:focus, + .navbar.is-light .navbar-end > a.navbar-item:hover, + .navbar.is-light .navbar-end > a.navbar-item.is-active, + .navbar.is-light .navbar-end .navbar-link:focus, + .navbar.is-light .navbar-end .navbar-link:hover, + .navbar.is-light .navbar-end .navbar-link.is-active { + background-color: #e8e8e8; + color: #363636; } + .navbar.is-light .navbar-start .navbar-link::after, + .navbar.is-light .navbar-end .navbar-link::after { + border-color: #363636; } + .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #e8e8e8; + color: #363636; } + .navbar.is-light .navbar-dropdown a.navbar-item.is-active { + background-color: whitesmoke; + color: #363636; } } + .navbar.is-dark, .content kbd.navbar { + background-color: #363636; + color: whitesmoke; } + .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item, + .navbar.is-dark .navbar-brand .navbar-link, + .content kbd.navbar .navbar-brand .navbar-link { + color: whitesmoke; } + .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active, + .navbar.is-dark .navbar-brand .navbar-link:focus, + .content kbd.navbar .navbar-brand .navbar-link:focus, + .navbar.is-dark .navbar-brand .navbar-link:hover, + .content kbd.navbar .navbar-brand .navbar-link:hover, + .navbar.is-dark .navbar-brand .navbar-link.is-active, + .content kbd.navbar .navbar-brand .navbar-link.is-active { + background-color: #292929; + color: whitesmoke; } + .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after { + border-color: whitesmoke; } + .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger { + color: whitesmoke; } + @media screen and (min-width: 1056px) { + .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item, + .navbar.is-dark .navbar-start .navbar-link, + .content kbd.navbar .navbar-start .navbar-link, + .navbar.is-dark .navbar-end > .navbar-item, + .content kbd.navbar .navbar-end > .navbar-item, + .navbar.is-dark .navbar-end .navbar-link, + .content kbd.navbar .navbar-end .navbar-link { + color: whitesmoke; } + .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active, + .navbar.is-dark .navbar-start .navbar-link:focus, + .content kbd.navbar .navbar-start .navbar-link:focus, + .navbar.is-dark .navbar-start .navbar-link:hover, + .content kbd.navbar .navbar-start .navbar-link:hover, + .navbar.is-dark .navbar-start .navbar-link.is-active, + .content kbd.navbar .navbar-start .navbar-link.is-active, + .navbar.is-dark .navbar-end > a.navbar-item:focus, + .content kbd.navbar .navbar-end > a.navbar-item:focus, + .navbar.is-dark .navbar-end > a.navbar-item:hover, + .content kbd.navbar .navbar-end > a.navbar-item:hover, + .navbar.is-dark .navbar-end > a.navbar-item.is-active, + .content kbd.navbar .navbar-end > a.navbar-item.is-active, + .navbar.is-dark .navbar-end .navbar-link:focus, + .content kbd.navbar .navbar-end .navbar-link:focus, + .navbar.is-dark .navbar-end .navbar-link:hover, + .content kbd.navbar .navbar-end .navbar-link:hover, + .navbar.is-dark .navbar-end .navbar-link.is-active, + .content kbd.navbar .navbar-end .navbar-link.is-active { + background-color: #292929; + color: whitesmoke; } + .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after, + .navbar.is-dark .navbar-end .navbar-link::after, + .content kbd.navbar .navbar-end .navbar-link::after { + border-color: whitesmoke; } + .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link, + .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link, + .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #292929; + color: whitesmoke; } + .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active { + background-color: #363636; + color: whitesmoke; } } + .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink { + background-color: #4eb5de; + color: #fff; } + .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item, + .navbar.is-primary .navbar-brand .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active, + .navbar.is-primary .navbar-brand .navbar-link:focus, + .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus, + .navbar.is-primary .navbar-brand .navbar-link:hover, + .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover, + .navbar.is-primary .navbar-brand .navbar-link.is-active, + .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active { + background-color: #39acda; + color: #fff; } + .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item, + .navbar.is-primary .navbar-start .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link, + .navbar.is-primary .navbar-end > .navbar-item, + .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item, + .navbar.is-primary .navbar-end .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link { + color: #fff; } + .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active, + .navbar.is-primary .navbar-start .navbar-link:focus, + .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus, + .navbar.is-primary .navbar-start .navbar-link:hover, + .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover, + .navbar.is-primary .navbar-start .navbar-link.is-active, + .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active, + .navbar.is-primary .navbar-end > a.navbar-item:focus, + .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus, + .navbar.is-primary .navbar-end > a.navbar-item:hover, + .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover, + .navbar.is-primary .navbar-end > a.navbar-item.is-active, + .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active, + .navbar.is-primary .navbar-end .navbar-link:focus, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus, + .navbar.is-primary .navbar-end .navbar-link:hover, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover, + .navbar.is-primary .navbar-end .navbar-link.is-active, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active { + background-color: #39acda; + color: #fff; } + .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after, + .navbar.is-primary .navbar-end .navbar-link::after, + .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link, + .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #39acda; + color: #fff; } + .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { + background-color: #4eb5de; + color: #fff; } } + .navbar.is-link { + background-color: #2e63b8; + color: #fff; } + .navbar.is-link .navbar-brand > .navbar-item, + .navbar.is-link .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active, + .navbar.is-link .navbar-brand .navbar-link:focus, + .navbar.is-link .navbar-brand .navbar-link:hover, + .navbar.is-link .navbar-brand .navbar-link.is-active { + background-color: #2958a4; + color: #fff; } + .navbar.is-link .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-link .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-link .navbar-start > .navbar-item, + .navbar.is-link .navbar-start .navbar-link, + .navbar.is-link .navbar-end > .navbar-item, + .navbar.is-link .navbar-end .navbar-link { + color: #fff; } + .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active, + .navbar.is-link .navbar-start .navbar-link:focus, + .navbar.is-link .navbar-start .navbar-link:hover, + .navbar.is-link .navbar-start .navbar-link.is-active, + .navbar.is-link .navbar-end > a.navbar-item:focus, + .navbar.is-link .navbar-end > a.navbar-item:hover, + .navbar.is-link .navbar-end > a.navbar-item.is-active, + .navbar.is-link .navbar-end .navbar-link:focus, + .navbar.is-link .navbar-end .navbar-link:hover, + .navbar.is-link .navbar-end .navbar-link.is-active { + background-color: #2958a4; + color: #fff; } + .navbar.is-link .navbar-start .navbar-link::after, + .navbar.is-link .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #2958a4; + color: #fff; } + .navbar.is-link .navbar-dropdown a.navbar-item.is-active { + background-color: #2e63b8; + color: #fff; } } + .navbar.is-info { + background-color: #209cee; + color: #fff; } + .navbar.is-info .navbar-brand > .navbar-item, + .navbar.is-info .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active, + .navbar.is-info .navbar-brand .navbar-link:focus, + .navbar.is-info .navbar-brand .navbar-link:hover, + .navbar.is-info .navbar-brand .navbar-link.is-active { + background-color: #1190e3; + color: #fff; } + .navbar.is-info .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-info .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-info .navbar-start > .navbar-item, + .navbar.is-info .navbar-start .navbar-link, + .navbar.is-info .navbar-end > .navbar-item, + .navbar.is-info .navbar-end .navbar-link { + color: #fff; } + .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active, + .navbar.is-info .navbar-start .navbar-link:focus, + .navbar.is-info .navbar-start .navbar-link:hover, + .navbar.is-info .navbar-start .navbar-link.is-active, + .navbar.is-info .navbar-end > a.navbar-item:focus, + .navbar.is-info .navbar-end > a.navbar-item:hover, + .navbar.is-info .navbar-end > a.navbar-item.is-active, + .navbar.is-info .navbar-end .navbar-link:focus, + .navbar.is-info .navbar-end .navbar-link:hover, + .navbar.is-info .navbar-end .navbar-link.is-active { + background-color: #1190e3; + color: #fff; } + .navbar.is-info .navbar-start .navbar-link::after, + .navbar.is-info .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #1190e3; + color: #fff; } + .navbar.is-info .navbar-dropdown a.navbar-item.is-active { + background-color: #209cee; + color: #fff; } } + .navbar.is-success { + background-color: #22c35b; + color: #fff; } + .navbar.is-success .navbar-brand > .navbar-item, + .navbar.is-success .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active, + .navbar.is-success .navbar-brand .navbar-link:focus, + .navbar.is-success .navbar-brand .navbar-link:hover, + .navbar.is-success .navbar-brand .navbar-link.is-active { + background-color: #1ead51; + color: #fff; } + .navbar.is-success .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-success .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-success .navbar-start > .navbar-item, + .navbar.is-success .navbar-start .navbar-link, + .navbar.is-success .navbar-end > .navbar-item, + .navbar.is-success .navbar-end .navbar-link { + color: #fff; } + .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active, + .navbar.is-success .navbar-start .navbar-link:focus, + .navbar.is-success .navbar-start .navbar-link:hover, + .navbar.is-success .navbar-start .navbar-link.is-active, + .navbar.is-success .navbar-end > a.navbar-item:focus, + .navbar.is-success .navbar-end > a.navbar-item:hover, + .navbar.is-success .navbar-end > a.navbar-item.is-active, + .navbar.is-success .navbar-end .navbar-link:focus, + .navbar.is-success .navbar-end .navbar-link:hover, + .navbar.is-success .navbar-end .navbar-link.is-active { + background-color: #1ead51; + color: #fff; } + .navbar.is-success .navbar-start .navbar-link::after, + .navbar.is-success .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #1ead51; + color: #fff; } + .navbar.is-success .navbar-dropdown a.navbar-item.is-active { + background-color: #22c35b; + color: #fff; } } + .navbar.is-warning { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-brand > .navbar-item, + .navbar.is-warning .navbar-brand .navbar-link { + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active, + .navbar.is-warning .navbar-brand .navbar-link:focus, + .navbar.is-warning .navbar-brand .navbar-link:hover, + .navbar.is-warning .navbar-brand .navbar-link.is-active { + background-color: #ffd83e; + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-brand .navbar-link::after { + border-color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-burger { + color: rgba(0, 0, 0, 0.7); } + @media screen and (min-width: 1056px) { + .navbar.is-warning .navbar-start > .navbar-item, + .navbar.is-warning .navbar-start .navbar-link, + .navbar.is-warning .navbar-end > .navbar-item, + .navbar.is-warning .navbar-end .navbar-link { + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active, + .navbar.is-warning .navbar-start .navbar-link:focus, + .navbar.is-warning .navbar-start .navbar-link:hover, + .navbar.is-warning .navbar-start .navbar-link.is-active, + .navbar.is-warning .navbar-end > a.navbar-item:focus, + .navbar.is-warning .navbar-end > a.navbar-item:hover, + .navbar.is-warning .navbar-end > a.navbar-item.is-active, + .navbar.is-warning .navbar-end .navbar-link:focus, + .navbar.is-warning .navbar-end .navbar-link:hover, + .navbar.is-warning .navbar-end .navbar-link.is-active { + background-color: #ffd83e; + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-start .navbar-link::after, + .navbar.is-warning .navbar-end .navbar-link::after { + border-color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #ffd83e; + color: rgba(0, 0, 0, 0.7); } + .navbar.is-warning .navbar-dropdown a.navbar-item.is-active { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } } + .navbar.is-danger { + background-color: #da0b00; + color: #fff; } + .navbar.is-danger .navbar-brand > .navbar-item, + .navbar.is-danger .navbar-brand .navbar-link { + color: #fff; } + .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active, + .navbar.is-danger .navbar-brand .navbar-link:focus, + .navbar.is-danger .navbar-brand .navbar-link:hover, + .navbar.is-danger .navbar-brand .navbar-link.is-active { + background-color: #c10a00; + color: #fff; } + .navbar.is-danger .navbar-brand .navbar-link::after { + border-color: #fff; } + .navbar.is-danger .navbar-burger { + color: #fff; } + @media screen and (min-width: 1056px) { + .navbar.is-danger .navbar-start > .navbar-item, + .navbar.is-danger .navbar-start .navbar-link, + .navbar.is-danger .navbar-end > .navbar-item, + .navbar.is-danger .navbar-end .navbar-link { + color: #fff; } + .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active, + .navbar.is-danger .navbar-start .navbar-link:focus, + .navbar.is-danger .navbar-start .navbar-link:hover, + .navbar.is-danger .navbar-start .navbar-link.is-active, + .navbar.is-danger .navbar-end > a.navbar-item:focus, + .navbar.is-danger .navbar-end > a.navbar-item:hover, + .navbar.is-danger .navbar-end > a.navbar-item.is-active, + .navbar.is-danger .navbar-end .navbar-link:focus, + .navbar.is-danger .navbar-end .navbar-link:hover, + .navbar.is-danger .navbar-end .navbar-link.is-active { + background-color: #c10a00; + color: #fff; } + .navbar.is-danger .navbar-start .navbar-link::after, + .navbar.is-danger .navbar-end .navbar-link::after { + border-color: #fff; } + .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link, + .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link, + .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #c10a00; + color: #fff; } + .navbar.is-danger .navbar-dropdown a.navbar-item.is-active { + background-color: #da0b00; + color: #fff; } } + .navbar > .container { + align-items: stretch; + display: flex; + min-height: 3.25rem; + width: 100%; } + .navbar.has-shadow { + box-shadow: 0 2px 0 0 whitesmoke; } + .navbar.is-fixed-bottom, .navbar.is-fixed-top { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + .navbar.is-fixed-bottom { + bottom: 0; } + .navbar.is-fixed-bottom.has-shadow { + box-shadow: 0 -2px 0 0 whitesmoke; } + .navbar.is-fixed-top { + top: 0; } + +html.has-navbar-fixed-top, +body.has-navbar-fixed-top { + padding-top: 3.25rem; } + +html.has-navbar-fixed-bottom, +body.has-navbar-fixed-bottom { + padding-bottom: 3.25rem; } + +.navbar-brand, +.navbar-tabs { + align-items: stretch; + display: flex; + flex-shrink: 0; + min-height: 3.25rem; } + +.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover { + background-color: transparent; } + +.navbar-tabs { + -webkit-overflow-scrolling: touch; + max-width: 100vw; + overflow-x: auto; + overflow-y: hidden; } + +.navbar-burger { + color: #4a4a4a; + cursor: pointer; + display: block; + height: 3.25rem; + position: relative; + width: 3.25rem; + margin-left: auto; } + .navbar-burger span { + background-color: currentColor; + display: block; + height: 1px; + left: calc(50% - 8px); + position: absolute; + transform-origin: center; + transition-duration: 86ms; + transition-property: background-color, opacity, transform; + transition-timing-function: ease-out; + width: 16px; } + .navbar-burger span:nth-child(1) { + top: calc(50% - 6px); } + .navbar-burger span:nth-child(2) { + top: calc(50% - 1px); } + .navbar-burger span:nth-child(3) { + top: calc(50% + 4px); } + .navbar-burger:hover { + background-color: rgba(0, 0, 0, 0.05); } + .navbar-burger.is-active span:nth-child(1) { + transform: translateY(5px) rotate(45deg); } + .navbar-burger.is-active span:nth-child(2) { + opacity: 0; } + .navbar-burger.is-active span:nth-child(3) { + transform: translateY(-5px) rotate(-45deg); } + +.navbar-menu { + display: none; } + +.navbar-item, +.navbar-link { + color: #4a4a4a; + display: block; + line-height: 1.5; + padding: 0.5rem 0.75rem; + position: relative; } + .navbar-item .icon:only-child, + .navbar-link .icon:only-child { + margin-left: -0.25rem; + margin-right: -0.25rem; } + +a.navbar-item, +.navbar-link { + cursor: pointer; } + a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active, + .navbar-link:focus, + .navbar-link:focus-within, + .navbar-link:hover, + .navbar-link.is-active { + background-color: #fafafa; + color: #2e63b8; } + +.navbar-item { + display: block; + flex-grow: 0; + flex-shrink: 0; } + .navbar-item img { + max-height: 1.75rem; } + .navbar-item.has-dropdown { + padding: 0; } + .navbar-item.is-expanded { + flex-grow: 1; + flex-shrink: 1; } + .navbar-item.is-tab { + border-bottom: 1px solid transparent; + min-height: 3.25rem; + padding-bottom: calc(0.5rem - 1px); } + .navbar-item.is-tab:focus, .navbar-item.is-tab:hover { + background-color: transparent; + border-bottom-color: #2e63b8; } + .navbar-item.is-tab.is-active { + background-color: transparent; + border-bottom-color: #2e63b8; + border-bottom-style: solid; + border-bottom-width: 3px; + color: #2e63b8; + padding-bottom: calc(0.5rem - 3px); } + +.navbar-content { + flex-grow: 1; + flex-shrink: 1; } + +.navbar-link:not(.is-arrowless) { + padding-right: 2.5em; } + .navbar-link:not(.is-arrowless)::after { + border-color: #2e63b8; + margin-top: -0.375em; + right: 1.125em; } + +.navbar-dropdown { + font-size: 0.875rem; + padding-bottom: 0.5rem; + padding-top: 0.5rem; } + .navbar-dropdown .navbar-item { + padding-left: 1.5rem; + padding-right: 1.5rem; } + +.navbar-divider { + background-color: whitesmoke; + border: none; + display: none; + height: 2px; + margin: 0.5rem 0; } + +@media screen and (max-width: 1055px) { + .navbar > .container { + display: block; } + .navbar-brand .navbar-item, + .navbar-tabs .navbar-item { + align-items: center; + display: flex; } + .navbar-link::after { + display: none; } + .navbar-menu { + background-color: white; + box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1); + padding: 0.5rem 0; } + .navbar-menu.is-active { + display: block; } + .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + .navbar.is-fixed-bottom-touch { + bottom: 0; } + .navbar.is-fixed-bottom-touch.has-shadow { + box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } + .navbar.is-fixed-top-touch { + top: 0; } + .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu { + -webkit-overflow-scrolling: touch; + max-height: calc(100vh - 3.25rem); + overflow: auto; } + html.has-navbar-fixed-top-touch, + body.has-navbar-fixed-top-touch { + padding-top: 3.25rem; } + html.has-navbar-fixed-bottom-touch, + body.has-navbar-fixed-bottom-touch { + padding-bottom: 3.25rem; } } + +@media screen and (min-width: 1056px) { + .navbar, + .navbar-menu, + .navbar-start, + .navbar-end { + align-items: stretch; + display: flex; } + .navbar { + min-height: 3.25rem; } + .navbar.is-spaced { + padding: 1rem 2rem; } + .navbar.is-spaced .navbar-start, + .navbar.is-spaced .navbar-end { + align-items: center; } + .navbar.is-spaced a.navbar-item, + .navbar.is-spaced .navbar-link { + border-radius: 4px; } + .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active, + .navbar.is-transparent .navbar-link:focus, + .navbar.is-transparent .navbar-link:hover, + .navbar.is-transparent .navbar-link.is-active { + background-color: transparent !important; } + .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link { + background-color: transparent !important; } + .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover { + background-color: whitesmoke; + color: #0a0a0a; } + .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active { + background-color: whitesmoke; + color: #2e63b8; } + .navbar-burger { + display: none; } + .navbar-item, + .navbar-link { + align-items: center; + display: flex; } + .navbar-item { + display: flex; } + .navbar-item.has-dropdown { + align-items: stretch; } + .navbar-item.has-dropdown-up .navbar-link::after { + transform: rotate(135deg) translate(0.25em, -0.25em); } + .navbar-item.has-dropdown-up .navbar-dropdown { + border-bottom: 2px solid #dbdbdb; + border-radius: 6px 6px 0 0; + border-top: none; + bottom: 100%; + box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1); + top: auto; } + .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown { + display: block; } + .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed { + opacity: 1; + pointer-events: auto; + transform: translateY(0); } + .navbar-menu { + flex-grow: 1; + flex-shrink: 0; } + .navbar-start { + justify-content: flex-start; + margin-right: auto; } + .navbar-end { + justify-content: flex-end; + margin-left: auto; } + .navbar-dropdown { + background-color: white; + border-bottom-left-radius: 6px; + border-bottom-right-radius: 6px; + border-top: 2px solid #dbdbdb; + box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1); + display: none; + font-size: 0.875rem; + left: 0; + min-width: 100%; + position: absolute; + top: 100%; + z-index: 20; } + .navbar-dropdown .navbar-item { + padding: 0.375rem 1rem; + white-space: nowrap; } + .navbar-dropdown a.navbar-item { + padding-right: 3rem; } + .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover { + background-color: whitesmoke; + color: #0a0a0a; } + .navbar-dropdown a.navbar-item.is-active { + background-color: whitesmoke; + color: #2e63b8; } + .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed { + border-radius: 6px; + border-top: none; + box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); + display: block; + opacity: 0; + pointer-events: none; + top: calc(100% + (-4px)); + transform: translateY(-5px); + transition-duration: 86ms; + transition-property: opacity, transform; } + .navbar-dropdown.is-right { + left: auto; + right: 0; } + .navbar-divider { + display: block; } + .navbar > .container .navbar-brand, + .container > .navbar .navbar-brand { + margin-left: -.75rem; } + .navbar > .container .navbar-menu, + .container > .navbar .navbar-menu { + margin-right: -.75rem; } + .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop { + left: 0; + position: fixed; + right: 0; + z-index: 30; } + .navbar.is-fixed-bottom-desktop { + bottom: 0; } + .navbar.is-fixed-bottom-desktop.has-shadow { + box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } + .navbar.is-fixed-top-desktop { + top: 0; } + html.has-navbar-fixed-top-desktop, + body.has-navbar-fixed-top-desktop { + padding-top: 3.25rem; } + html.has-navbar-fixed-bottom-desktop, + body.has-navbar-fixed-bottom-desktop { + padding-bottom: 3.25rem; } + html.has-spaced-navbar-fixed-top, + body.has-spaced-navbar-fixed-top { + padding-top: 5.25rem; } + html.has-spaced-navbar-fixed-bottom, + body.has-spaced-navbar-fixed-bottom { + padding-bottom: 5.25rem; } + a.navbar-item.is-active, + .navbar-link.is-active { + color: #0a0a0a; } + a.navbar-item.is-active:not(:focus):not(:hover), + .navbar-link.is-active:not(:focus):not(:hover) { + background-color: transparent; } + .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link { + background-color: #fafafa; } } + +.hero.is-fullheight-with-navbar { + min-height: calc(100vh - 3.25rem); } + +.pagination { + font-size: 1rem; + margin: -0.25rem; } + .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination { + font-size: 0.75rem; } + .pagination.is-medium { + font-size: 1.25rem; } + .pagination.is-large { + font-size: 1.5rem; } + .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous, + .pagination.is-rounded .pagination-next, + #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next { + padding-left: 1em; + padding-right: 1em; + border-radius: 290486px; } + .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link { + border-radius: 290486px; } + +.pagination, +.pagination-list { + align-items: center; + display: flex; + justify-content: center; + text-align: center; } + +.pagination-previous, +.pagination-next, +.pagination-link, +.pagination-ellipsis { + font-size: 1em; + justify-content: center; + margin: 0.25rem; + padding-left: 0.5em; + padding-right: 0.5em; + text-align: center; } + +.pagination-previous, +.pagination-next, +.pagination-link { + border-color: #dbdbdb; + color: #363636; + min-width: 2.25em; } + .pagination-previous:hover, + .pagination-next:hover, + .pagination-link:hover { + border-color: #b5b5b5; + color: #363636; } + .pagination-previous:focus, + .pagination-next:focus, + .pagination-link:focus { + border-color: #3c5dcd; } + .pagination-previous:active, + .pagination-next:active, + .pagination-link:active { + box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); } + .pagination-previous[disabled], + .pagination-next[disabled], + .pagination-link[disabled] { + background-color: #dbdbdb; + border-color: #dbdbdb; + box-shadow: none; + color: #6b6b6b; + opacity: 0.5; } + +.pagination-previous, +.pagination-next { + padding-left: 0.75em; + padding-right: 0.75em; + white-space: nowrap; } + +.pagination-link.is-current { + background-color: #2e63b8; + border-color: #2e63b8; + color: #fff; } + +.pagination-ellipsis { + color: #b5b5b5; + pointer-events: none; } + +.pagination-list { + flex-wrap: wrap; } + +@media screen and (max-width: 768px) { + .pagination { + flex-wrap: wrap; } + .pagination-previous, + .pagination-next { + flex-grow: 1; + flex-shrink: 1; } + .pagination-list li { + flex-grow: 1; + flex-shrink: 1; } } + +@media screen and (min-width: 769px), print { + .pagination-list { + flex-grow: 1; + flex-shrink: 1; + justify-content: flex-start; + order: 1; } + .pagination-previous { + order: 2; } + .pagination-next { + order: 3; } + .pagination { + justify-content: space-between; } + .pagination.is-centered .pagination-previous { + order: 1; } + .pagination.is-centered .pagination-list { + justify-content: center; + order: 2; } + .pagination.is-centered .pagination-next { + order: 3; } + .pagination.is-right .pagination-previous { + order: 1; } + .pagination.is-right .pagination-next { + order: 2; } + .pagination.is-right .pagination-list { + justify-content: flex-end; + order: 3; } } + +.panel { + font-size: 1rem; } + .panel:not(:last-child) { + margin-bottom: 1.5rem; } + +.panel-heading, +.panel-tabs, +.panel-block { + border-bottom: 1px solid #dbdbdb; + border-left: 1px solid #dbdbdb; + border-right: 1px solid #dbdbdb; } + .panel-heading:first-child, + .panel-tabs:first-child, + .panel-block:first-child { + border-top: 1px solid #dbdbdb; } + +.panel-heading { + background-color: whitesmoke; + border-radius: 4px 4px 0 0; + color: #222222; + font-size: 1.25em; + font-weight: 300; + line-height: 1.25; + padding: 0.5em 0.75em; } + +.panel-tabs { + align-items: flex-end; + display: flex; + font-size: 0.875em; + justify-content: center; } + .panel-tabs a { + border-bottom: 1px solid #dbdbdb; + margin-bottom: -1px; + padding: 0.5em; } + .panel-tabs a.is-active { + border-bottom-color: #4a4a4a; + color: #363636; } + +.panel-list a { + color: #222222; } + .panel-list a:hover { + color: #2e63b8; } + +.panel-block { + align-items: center; + color: #222222; + display: flex; + justify-content: flex-start; + padding: 0.5em 0.75em; } + .panel-block input[type="checkbox"] { + margin-right: 0.75em; } + .panel-block > .control { + flex-grow: 1; + flex-shrink: 1; + width: 100%; } + .panel-block.is-wrapped { + flex-wrap: wrap; } + .panel-block.is-active { + border-left-color: #2e63b8; + color: #363636; } + .panel-block.is-active .panel-icon { + color: #2e63b8; } + +a.panel-block, +label.panel-block { + cursor: pointer; } + a.panel-block:hover, + label.panel-block:hover { + background-color: whitesmoke; } + +.panel-icon { + display: inline-block; + font-size: 14px; + height: 1em; + line-height: 1em; + text-align: center; + vertical-align: top; + width: 1em; + color: #6b6b6b; + margin-right: 0.75em; } + .panel-icon .fa { + font-size: inherit; + line-height: inherit; } + +.tabs { + -webkit-overflow-scrolling: touch; + align-items: stretch; + display: flex; + font-size: 1rem; + justify-content: space-between; + overflow: hidden; + overflow-x: auto; + white-space: nowrap; } + .tabs a { + align-items: center; + border-bottom-color: #dbdbdb; + border-bottom-style: solid; + border-bottom-width: 1px; + color: #222222; + display: flex; + justify-content: center; + margin-bottom: -1px; + padding: 0.5em 1em; + vertical-align: top; } + .tabs a:hover { + border-bottom-color: #222222; + color: #222222; } + .tabs li { + display: block; } + .tabs li.is-active a { + border-bottom-color: #2e63b8; + color: #2e63b8; } + .tabs ul { + align-items: center; + border-bottom-color: #dbdbdb; + border-bottom-style: solid; + border-bottom-width: 1px; + display: flex; + flex-grow: 1; + flex-shrink: 0; + justify-content: flex-start; } + .tabs ul.is-left { + padding-right: 0.75em; } + .tabs ul.is-center { + flex: none; + justify-content: center; + padding-left: 0.75em; + padding-right: 0.75em; } + .tabs ul.is-right { + justify-content: flex-end; + padding-left: 0.75em; } + .tabs .icon:first-child { + margin-right: 0.5em; } + .tabs .icon:last-child { + margin-left: 0.5em; } + .tabs.is-centered ul { + justify-content: center; } + .tabs.is-right ul { + justify-content: flex-end; } + .tabs.is-boxed a { + border: 1px solid transparent; + border-radius: 4px 4px 0 0; } + .tabs.is-boxed a:hover { + background-color: whitesmoke; + border-bottom-color: #dbdbdb; } + .tabs.is-boxed li.is-active a { + background-color: white; + border-color: #dbdbdb; + border-bottom-color: transparent !important; } + .tabs.is-fullwidth li { + flex-grow: 1; + flex-shrink: 0; } + .tabs.is-toggle a { + border-color: #dbdbdb; + border-style: solid; + border-width: 1px; + margin-bottom: 0; + position: relative; } + .tabs.is-toggle a:hover { + background-color: whitesmoke; + border-color: #b5b5b5; + z-index: 2; } + .tabs.is-toggle li + li { + margin-left: -1px; } + .tabs.is-toggle li:first-child a { + border-radius: 4px 0 0 4px; } + .tabs.is-toggle li:last-child a { + border-radius: 0 4px 4px 0; } + .tabs.is-toggle li.is-active a { + background-color: #2e63b8; + border-color: #2e63b8; + color: #fff; + z-index: 1; } + .tabs.is-toggle ul { + border-bottom: none; } + .tabs.is-toggle.is-toggle-rounded li:first-child a { + border-bottom-left-radius: 290486px; + border-top-left-radius: 290486px; + padding-left: 1.25em; } + .tabs.is-toggle.is-toggle-rounded li:last-child a { + border-bottom-right-radius: 290486px; + border-top-right-radius: 290486px; + padding-right: 1.25em; } + .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs { + font-size: 0.75rem; } + .tabs.is-medium { + font-size: 1.25rem; } + .tabs.is-large { + font-size: 1.5rem; } + +.column { + display: block; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 1; + padding: 0.75rem; } + .columns.is-mobile > .column.is-narrow { + flex: none; } + .columns.is-mobile > .column.is-full { + flex: none; + width: 100%; } + .columns.is-mobile > .column.is-three-quarters { + flex: none; + width: 75%; } + .columns.is-mobile > .column.is-two-thirds { + flex: none; + width: 66.6666%; } + .columns.is-mobile > .column.is-half { + flex: none; + width: 50%; } + .columns.is-mobile > .column.is-one-third { + flex: none; + width: 33.3333%; } + .columns.is-mobile > .column.is-one-quarter { + flex: none; + width: 25%; } + .columns.is-mobile > .column.is-one-fifth { + flex: none; + width: 20%; } + .columns.is-mobile > .column.is-two-fifths { + flex: none; + width: 40%; } + .columns.is-mobile > .column.is-three-fifths { + flex: none; + width: 60%; } + .columns.is-mobile > .column.is-four-fifths { + flex: none; + width: 80%; } + .columns.is-mobile > .column.is-offset-three-quarters { + margin-left: 75%; } + .columns.is-mobile > .column.is-offset-two-thirds { + margin-left: 66.6666%; } + .columns.is-mobile > .column.is-offset-half { + margin-left: 50%; } + .columns.is-mobile > .column.is-offset-one-third { + margin-left: 33.3333%; } + .columns.is-mobile > .column.is-offset-one-quarter { + margin-left: 25%; } + .columns.is-mobile > .column.is-offset-one-fifth { + margin-left: 20%; } + .columns.is-mobile > .column.is-offset-two-fifths { + margin-left: 40%; } + .columns.is-mobile > .column.is-offset-three-fifths { + margin-left: 60%; } + .columns.is-mobile > .column.is-offset-four-fifths { + margin-left: 80%; } + .columns.is-mobile > .column.is-0 { + flex: none; + width: 0%; } + .columns.is-mobile > .column.is-offset-0 { + margin-left: 0%; } + .columns.is-mobile > .column.is-1 { + flex: none; + width: 8.33333%; } + .columns.is-mobile > .column.is-offset-1 { + margin-left: 8.33333%; } + .columns.is-mobile > .column.is-2 { + flex: none; + width: 16.66667%; } + .columns.is-mobile > .column.is-offset-2 { + margin-left: 16.66667%; } + .columns.is-mobile > .column.is-3 { + flex: none; + width: 25%; } + .columns.is-mobile > .column.is-offset-3 { + margin-left: 25%; } + .columns.is-mobile > .column.is-4 { + flex: none; + width: 33.33333%; } + .columns.is-mobile > .column.is-offset-4 { + margin-left: 33.33333%; } + .columns.is-mobile > .column.is-5 { + flex: none; + width: 41.66667%; } + .columns.is-mobile > .column.is-offset-5 { + margin-left: 41.66667%; } + .columns.is-mobile > .column.is-6 { + flex: none; + width: 50%; } + .columns.is-mobile > .column.is-offset-6 { + margin-left: 50%; } + .columns.is-mobile > .column.is-7 { + flex: none; + width: 58.33333%; } + .columns.is-mobile > .column.is-offset-7 { + margin-left: 58.33333%; } + .columns.is-mobile > .column.is-8 { + flex: none; + width: 66.66667%; } + .columns.is-mobile > .column.is-offset-8 { + margin-left: 66.66667%; } + .columns.is-mobile > .column.is-9 { + flex: none; + width: 75%; } + .columns.is-mobile > .column.is-offset-9 { + margin-left: 75%; } + .columns.is-mobile > .column.is-10 { + flex: none; + width: 83.33333%; } + .columns.is-mobile > .column.is-offset-10 { + margin-left: 83.33333%; } + .columns.is-mobile > .column.is-11 { + flex: none; + width: 91.66667%; } + .columns.is-mobile > .column.is-offset-11 { + margin-left: 91.66667%; } + .columns.is-mobile > .column.is-12 { + flex: none; + width: 100%; } + .columns.is-mobile > .column.is-offset-12 { + margin-left: 100%; } + @media screen and (max-width: 768px) { + .column.is-narrow-mobile { + flex: none; } + .column.is-full-mobile { + flex: none; + width: 100%; } + .column.is-three-quarters-mobile { + flex: none; + width: 75%; } + .column.is-two-thirds-mobile { + flex: none; + width: 66.6666%; } + .column.is-half-mobile { + flex: none; + width: 50%; } + .column.is-one-third-mobile { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-mobile { + flex: none; + width: 25%; } + .column.is-one-fifth-mobile { + flex: none; + width: 20%; } + .column.is-two-fifths-mobile { + flex: none; + width: 40%; } + .column.is-three-fifths-mobile { + flex: none; + width: 60%; } + .column.is-four-fifths-mobile { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-mobile { + margin-left: 75%; } + .column.is-offset-two-thirds-mobile { + margin-left: 66.6666%; } + .column.is-offset-half-mobile { + margin-left: 50%; } + .column.is-offset-one-third-mobile { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-mobile { + margin-left: 25%; } + .column.is-offset-one-fifth-mobile { + margin-left: 20%; } + .column.is-offset-two-fifths-mobile { + margin-left: 40%; } + .column.is-offset-three-fifths-mobile { + margin-left: 60%; } + .column.is-offset-four-fifths-mobile { + margin-left: 80%; } + .column.is-0-mobile { + flex: none; + width: 0%; } + .column.is-offset-0-mobile { + margin-left: 0%; } + .column.is-1-mobile { + flex: none; + width: 8.33333%; } + .column.is-offset-1-mobile { + margin-left: 8.33333%; } + .column.is-2-mobile { + flex: none; + width: 16.66667%; } + .column.is-offset-2-mobile { + margin-left: 16.66667%; } + .column.is-3-mobile { + flex: none; + width: 25%; } + .column.is-offset-3-mobile { + margin-left: 25%; } + .column.is-4-mobile { + flex: none; + width: 33.33333%; } + .column.is-offset-4-mobile { + margin-left: 33.33333%; } + .column.is-5-mobile { + flex: none; + width: 41.66667%; } + .column.is-offset-5-mobile { + margin-left: 41.66667%; } + .column.is-6-mobile { + flex: none; + width: 50%; } + .column.is-offset-6-mobile { + margin-left: 50%; } + .column.is-7-mobile { + flex: none; + width: 58.33333%; } + .column.is-offset-7-mobile { + margin-left: 58.33333%; } + .column.is-8-mobile { + flex: none; + width: 66.66667%; } + .column.is-offset-8-mobile { + margin-left: 66.66667%; } + .column.is-9-mobile { + flex: none; + width: 75%; } + .column.is-offset-9-mobile { + margin-left: 75%; } + .column.is-10-mobile { + flex: none; + width: 83.33333%; } + .column.is-offset-10-mobile { + margin-left: 83.33333%; } + .column.is-11-mobile { + flex: none; + width: 91.66667%; } + .column.is-offset-11-mobile { + margin-left: 91.66667%; } + .column.is-12-mobile { + flex: none; + width: 100%; } + .column.is-offset-12-mobile { + margin-left: 100%; } } + @media screen and (min-width: 769px), print { + .column.is-narrow, .column.is-narrow-tablet { + flex: none; } + .column.is-full, .column.is-full-tablet { + flex: none; + width: 100%; } + .column.is-three-quarters, .column.is-three-quarters-tablet { + flex: none; + width: 75%; } + .column.is-two-thirds, .column.is-two-thirds-tablet { + flex: none; + width: 66.6666%; } + .column.is-half, .column.is-half-tablet { + flex: none; + width: 50%; } + .column.is-one-third, .column.is-one-third-tablet { + flex: none; + width: 33.3333%; } + .column.is-one-quarter, .column.is-one-quarter-tablet { + flex: none; + width: 25%; } + .column.is-one-fifth, .column.is-one-fifth-tablet { + flex: none; + width: 20%; } + .column.is-two-fifths, .column.is-two-fifths-tablet { + flex: none; + width: 40%; } + .column.is-three-fifths, .column.is-three-fifths-tablet { + flex: none; + width: 60%; } + .column.is-four-fifths, .column.is-four-fifths-tablet { + flex: none; + width: 80%; } + .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet { + margin-left: 75%; } + .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet { + margin-left: 66.6666%; } + .column.is-offset-half, .column.is-offset-half-tablet { + margin-left: 50%; } + .column.is-offset-one-third, .column.is-offset-one-third-tablet { + margin-left: 33.3333%; } + .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet { + margin-left: 25%; } + .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet { + margin-left: 20%; } + .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet { + margin-left: 40%; } + .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet { + margin-left: 60%; } + .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet { + margin-left: 80%; } + .column.is-0, .column.is-0-tablet { + flex: none; + width: 0%; } + .column.is-offset-0, .column.is-offset-0-tablet { + margin-left: 0%; } + .column.is-1, .column.is-1-tablet { + flex: none; + width: 8.33333%; } + .column.is-offset-1, .column.is-offset-1-tablet { + margin-left: 8.33333%; } + .column.is-2, .column.is-2-tablet { + flex: none; + width: 16.66667%; } + .column.is-offset-2, .column.is-offset-2-tablet { + margin-left: 16.66667%; } + .column.is-3, .column.is-3-tablet { + flex: none; + width: 25%; } + .column.is-offset-3, .column.is-offset-3-tablet { + margin-left: 25%; } + .column.is-4, .column.is-4-tablet { + flex: none; + width: 33.33333%; } + .column.is-offset-4, .column.is-offset-4-tablet { + margin-left: 33.33333%; } + .column.is-5, .column.is-5-tablet { + flex: none; + width: 41.66667%; } + .column.is-offset-5, .column.is-offset-5-tablet { + margin-left: 41.66667%; } + .column.is-6, .column.is-6-tablet { + flex: none; + width: 50%; } + .column.is-offset-6, .column.is-offset-6-tablet { + margin-left: 50%; } + .column.is-7, .column.is-7-tablet { + flex: none; + width: 58.33333%; } + .column.is-offset-7, .column.is-offset-7-tablet { + margin-left: 58.33333%; } + .column.is-8, .column.is-8-tablet { + flex: none; + width: 66.66667%; } + .column.is-offset-8, .column.is-offset-8-tablet { + margin-left: 66.66667%; } + .column.is-9, .column.is-9-tablet { + flex: none; + width: 75%; } + .column.is-offset-9, .column.is-offset-9-tablet { + margin-left: 75%; } + .column.is-10, .column.is-10-tablet { + flex: none; + width: 83.33333%; } + .column.is-offset-10, .column.is-offset-10-tablet { + margin-left: 83.33333%; } + .column.is-11, .column.is-11-tablet { + flex: none; + width: 91.66667%; } + .column.is-offset-11, .column.is-offset-11-tablet { + margin-left: 91.66667%; } + .column.is-12, .column.is-12-tablet { + flex: none; + width: 100%; } + .column.is-offset-12, .column.is-offset-12-tablet { + margin-left: 100%; } } + @media screen and (max-width: 1055px) { + .column.is-narrow-touch { + flex: none; } + .column.is-full-touch { + flex: none; + width: 100%; } + .column.is-three-quarters-touch { + flex: none; + width: 75%; } + .column.is-two-thirds-touch { + flex: none; + width: 66.6666%; } + .column.is-half-touch { + flex: none; + width: 50%; } + .column.is-one-third-touch { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-touch { + flex: none; + width: 25%; } + .column.is-one-fifth-touch { + flex: none; + width: 20%; } + .column.is-two-fifths-touch { + flex: none; + width: 40%; } + .column.is-three-fifths-touch { + flex: none; + width: 60%; } + .column.is-four-fifths-touch { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-touch { + margin-left: 75%; } + .column.is-offset-two-thirds-touch { + margin-left: 66.6666%; } + .column.is-offset-half-touch { + margin-left: 50%; } + .column.is-offset-one-third-touch { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-touch { + margin-left: 25%; } + .column.is-offset-one-fifth-touch { + margin-left: 20%; } + .column.is-offset-two-fifths-touch { + margin-left: 40%; } + .column.is-offset-three-fifths-touch { + margin-left: 60%; } + .column.is-offset-four-fifths-touch { + margin-left: 80%; } + .column.is-0-touch { + flex: none; + width: 0%; } + .column.is-offset-0-touch { + margin-left: 0%; } + .column.is-1-touch { + flex: none; + width: 8.33333%; } + .column.is-offset-1-touch { + margin-left: 8.33333%; } + .column.is-2-touch { + flex: none; + width: 16.66667%; } + .column.is-offset-2-touch { + margin-left: 16.66667%; } + .column.is-3-touch { + flex: none; + width: 25%; } + .column.is-offset-3-touch { + margin-left: 25%; } + .column.is-4-touch { + flex: none; + width: 33.33333%; } + .column.is-offset-4-touch { + margin-left: 33.33333%; } + .column.is-5-touch { + flex: none; + width: 41.66667%; } + .column.is-offset-5-touch { + margin-left: 41.66667%; } + .column.is-6-touch { + flex: none; + width: 50%; } + .column.is-offset-6-touch { + margin-left: 50%; } + .column.is-7-touch { + flex: none; + width: 58.33333%; } + .column.is-offset-7-touch { + margin-left: 58.33333%; } + .column.is-8-touch { + flex: none; + width: 66.66667%; } + .column.is-offset-8-touch { + margin-left: 66.66667%; } + .column.is-9-touch { + flex: none; + width: 75%; } + .column.is-offset-9-touch { + margin-left: 75%; } + .column.is-10-touch { + flex: none; + width: 83.33333%; } + .column.is-offset-10-touch { + margin-left: 83.33333%; } + .column.is-11-touch { + flex: none; + width: 91.66667%; } + .column.is-offset-11-touch { + margin-left: 91.66667%; } + .column.is-12-touch { + flex: none; + width: 100%; } + .column.is-offset-12-touch { + margin-left: 100%; } } + @media screen and (min-width: 1056px) { + .column.is-narrow-desktop { + flex: none; } + .column.is-full-desktop { + flex: none; + width: 100%; } + .column.is-three-quarters-desktop { + flex: none; + width: 75%; } + .column.is-two-thirds-desktop { + flex: none; + width: 66.6666%; } + .column.is-half-desktop { + flex: none; + width: 50%; } + .column.is-one-third-desktop { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-desktop { + flex: none; + width: 25%; } + .column.is-one-fifth-desktop { + flex: none; + width: 20%; } + .column.is-two-fifths-desktop { + flex: none; + width: 40%; } + .column.is-three-fifths-desktop { + flex: none; + width: 60%; } + .column.is-four-fifths-desktop { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-desktop { + margin-left: 75%; } + .column.is-offset-two-thirds-desktop { + margin-left: 66.6666%; } + .column.is-offset-half-desktop { + margin-left: 50%; } + .column.is-offset-one-third-desktop { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-desktop { + margin-left: 25%; } + .column.is-offset-one-fifth-desktop { + margin-left: 20%; } + .column.is-offset-two-fifths-desktop { + margin-left: 40%; } + .column.is-offset-three-fifths-desktop { + margin-left: 60%; } + .column.is-offset-four-fifths-desktop { + margin-left: 80%; } + .column.is-0-desktop { + flex: none; + width: 0%; } + .column.is-offset-0-desktop { + margin-left: 0%; } + .column.is-1-desktop { + flex: none; + width: 8.33333%; } + .column.is-offset-1-desktop { + margin-left: 8.33333%; } + .column.is-2-desktop { + flex: none; + width: 16.66667%; } + .column.is-offset-2-desktop { + margin-left: 16.66667%; } + .column.is-3-desktop { + flex: none; + width: 25%; } + .column.is-offset-3-desktop { + margin-left: 25%; } + .column.is-4-desktop { + flex: none; + width: 33.33333%; } + .column.is-offset-4-desktop { + margin-left: 33.33333%; } + .column.is-5-desktop { + flex: none; + width: 41.66667%; } + .column.is-offset-5-desktop { + margin-left: 41.66667%; } + .column.is-6-desktop { + flex: none; + width: 50%; } + .column.is-offset-6-desktop { + margin-left: 50%; } + .column.is-7-desktop { + flex: none; + width: 58.33333%; } + .column.is-offset-7-desktop { + margin-left: 58.33333%; } + .column.is-8-desktop { + flex: none; + width: 66.66667%; } + .column.is-offset-8-desktop { + margin-left: 66.66667%; } + .column.is-9-desktop { + flex: none; + width: 75%; } + .column.is-offset-9-desktop { + margin-left: 75%; } + .column.is-10-desktop { + flex: none; + width: 83.33333%; } + .column.is-offset-10-desktop { + margin-left: 83.33333%; } + .column.is-11-desktop { + flex: none; + width: 91.66667%; } + .column.is-offset-11-desktop { + margin-left: 91.66667%; } + .column.is-12-desktop { + flex: none; + width: 100%; } + .column.is-offset-12-desktop { + margin-left: 100%; } } + @media screen and (min-width: 1216px) { + .column.is-narrow-widescreen { + flex: none; } + .column.is-full-widescreen { + flex: none; + width: 100%; } + .column.is-three-quarters-widescreen { + flex: none; + width: 75%; } + .column.is-two-thirds-widescreen { + flex: none; + width: 66.6666%; } + .column.is-half-widescreen { + flex: none; + width: 50%; } + .column.is-one-third-widescreen { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-widescreen { + flex: none; + width: 25%; } + .column.is-one-fifth-widescreen { + flex: none; + width: 20%; } + .column.is-two-fifths-widescreen { + flex: none; + width: 40%; } + .column.is-three-fifths-widescreen { + flex: none; + width: 60%; } + .column.is-four-fifths-widescreen { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-widescreen { + margin-left: 75%; } + .column.is-offset-two-thirds-widescreen { + margin-left: 66.6666%; } + .column.is-offset-half-widescreen { + margin-left: 50%; } + .column.is-offset-one-third-widescreen { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-widescreen { + margin-left: 25%; } + .column.is-offset-one-fifth-widescreen { + margin-left: 20%; } + .column.is-offset-two-fifths-widescreen { + margin-left: 40%; } + .column.is-offset-three-fifths-widescreen { + margin-left: 60%; } + .column.is-offset-four-fifths-widescreen { + margin-left: 80%; } + .column.is-0-widescreen { + flex: none; + width: 0%; } + .column.is-offset-0-widescreen { + margin-left: 0%; } + .column.is-1-widescreen { + flex: none; + width: 8.33333%; } + .column.is-offset-1-widescreen { + margin-left: 8.33333%; } + .column.is-2-widescreen { + flex: none; + width: 16.66667%; } + .column.is-offset-2-widescreen { + margin-left: 16.66667%; } + .column.is-3-widescreen { + flex: none; + width: 25%; } + .column.is-offset-3-widescreen { + margin-left: 25%; } + .column.is-4-widescreen { + flex: none; + width: 33.33333%; } + .column.is-offset-4-widescreen { + margin-left: 33.33333%; } + .column.is-5-widescreen { + flex: none; + width: 41.66667%; } + .column.is-offset-5-widescreen { + margin-left: 41.66667%; } + .column.is-6-widescreen { + flex: none; + width: 50%; } + .column.is-offset-6-widescreen { + margin-left: 50%; } + .column.is-7-widescreen { + flex: none; + width: 58.33333%; } + .column.is-offset-7-widescreen { + margin-left: 58.33333%; } + .column.is-8-widescreen { + flex: none; + width: 66.66667%; } + .column.is-offset-8-widescreen { + margin-left: 66.66667%; } + .column.is-9-widescreen { + flex: none; + width: 75%; } + .column.is-offset-9-widescreen { + margin-left: 75%; } + .column.is-10-widescreen { + flex: none; + width: 83.33333%; } + .column.is-offset-10-widescreen { + margin-left: 83.33333%; } + .column.is-11-widescreen { + flex: none; + width: 91.66667%; } + .column.is-offset-11-widescreen { + margin-left: 91.66667%; } + .column.is-12-widescreen { + flex: none; + width: 100%; } + .column.is-offset-12-widescreen { + margin-left: 100%; } } + @media screen and (min-width: 1408px) { + .column.is-narrow-fullhd { + flex: none; } + .column.is-full-fullhd { + flex: none; + width: 100%; } + .column.is-three-quarters-fullhd { + flex: none; + width: 75%; } + .column.is-two-thirds-fullhd { + flex: none; + width: 66.6666%; } + .column.is-half-fullhd { + flex: none; + width: 50%; } + .column.is-one-third-fullhd { + flex: none; + width: 33.3333%; } + .column.is-one-quarter-fullhd { + flex: none; + width: 25%; } + .column.is-one-fifth-fullhd { + flex: none; + width: 20%; } + .column.is-two-fifths-fullhd { + flex: none; + width: 40%; } + .column.is-three-fifths-fullhd { + flex: none; + width: 60%; } + .column.is-four-fifths-fullhd { + flex: none; + width: 80%; } + .column.is-offset-three-quarters-fullhd { + margin-left: 75%; } + .column.is-offset-two-thirds-fullhd { + margin-left: 66.6666%; } + .column.is-offset-half-fullhd { + margin-left: 50%; } + .column.is-offset-one-third-fullhd { + margin-left: 33.3333%; } + .column.is-offset-one-quarter-fullhd { + margin-left: 25%; } + .column.is-offset-one-fifth-fullhd { + margin-left: 20%; } + .column.is-offset-two-fifths-fullhd { + margin-left: 40%; } + .column.is-offset-three-fifths-fullhd { + margin-left: 60%; } + .column.is-offset-four-fifths-fullhd { + margin-left: 80%; } + .column.is-0-fullhd { + flex: none; + width: 0%; } + .column.is-offset-0-fullhd { + margin-left: 0%; } + .column.is-1-fullhd { + flex: none; + width: 8.33333%; } + .column.is-offset-1-fullhd { + margin-left: 8.33333%; } + .column.is-2-fullhd { + flex: none; + width: 16.66667%; } + .column.is-offset-2-fullhd { + margin-left: 16.66667%; } + .column.is-3-fullhd { + flex: none; + width: 25%; } + .column.is-offset-3-fullhd { + margin-left: 25%; } + .column.is-4-fullhd { + flex: none; + width: 33.33333%; } + .column.is-offset-4-fullhd { + margin-left: 33.33333%; } + .column.is-5-fullhd { + flex: none; + width: 41.66667%; } + .column.is-offset-5-fullhd { + margin-left: 41.66667%; } + .column.is-6-fullhd { + flex: none; + width: 50%; } + .column.is-offset-6-fullhd { + margin-left: 50%; } + .column.is-7-fullhd { + flex: none; + width: 58.33333%; } + .column.is-offset-7-fullhd { + margin-left: 58.33333%; } + .column.is-8-fullhd { + flex: none; + width: 66.66667%; } + .column.is-offset-8-fullhd { + margin-left: 66.66667%; } + .column.is-9-fullhd { + flex: none; + width: 75%; } + .column.is-offset-9-fullhd { + margin-left: 75%; } + .column.is-10-fullhd { + flex: none; + width: 83.33333%; } + .column.is-offset-10-fullhd { + margin-left: 83.33333%; } + .column.is-11-fullhd { + flex: none; + width: 91.66667%; } + .column.is-offset-11-fullhd { + margin-left: 91.66667%; } + .column.is-12-fullhd { + flex: none; + width: 100%; } + .column.is-offset-12-fullhd { + margin-left: 100%; } } + +.columns { + margin-left: -0.75rem; + margin-right: -0.75rem; + margin-top: -0.75rem; } + .columns:last-child { + margin-bottom: -0.75rem; } + .columns:not(:last-child) { + margin-bottom: calc(1.5rem - 0.75rem); } + .columns.is-centered { + justify-content: center; } + .columns.is-gapless { + margin-left: 0; + margin-right: 0; + margin-top: 0; } + .columns.is-gapless > .column { + margin: 0; + padding: 0 !important; } + .columns.is-gapless:not(:last-child) { + margin-bottom: 1.5rem; } + .columns.is-gapless:last-child { + margin-bottom: 0; } + .columns.is-mobile { + display: flex; } + .columns.is-multiline { + flex-wrap: wrap; } + .columns.is-vcentered { + align-items: center; } + @media screen and (min-width: 769px), print { + .columns:not(.is-desktop) { + display: flex; } } + @media screen and (min-width: 1056px) { + .columns.is-desktop { + display: flex; } } + +.columns.is-variable { + --columnGap: 0.75rem; + margin-left: calc(-1 * var(--columnGap)); + margin-right: calc(-1 * var(--columnGap)); } + .columns.is-variable .column { + padding-left: var(--columnGap); + padding-right: var(--columnGap); } + .columns.is-variable.is-0 { + --columnGap: 0rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-0-mobile { + --columnGap: 0rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-0-tablet { + --columnGap: 0rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-0-tablet-only { + --columnGap: 0rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-0-touch { + --columnGap: 0rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-0-desktop { + --columnGap: 0rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-0-desktop-only { + --columnGap: 0rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-0-widescreen { + --columnGap: 0rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-0-widescreen-only { + --columnGap: 0rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-0-fullhd { + --columnGap: 0rem; } } + .columns.is-variable.is-1 { + --columnGap: 0.25rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-1-mobile { + --columnGap: 0.25rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-1-tablet { + --columnGap: 0.25rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-1-tablet-only { + --columnGap: 0.25rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-1-touch { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-1-desktop { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-1-desktop-only { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-1-widescreen { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-1-widescreen-only { + --columnGap: 0.25rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-1-fullhd { + --columnGap: 0.25rem; } } + .columns.is-variable.is-2 { + --columnGap: 0.5rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-2-mobile { + --columnGap: 0.5rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-2-tablet { + --columnGap: 0.5rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-2-tablet-only { + --columnGap: 0.5rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-2-touch { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-2-desktop { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-2-desktop-only { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-2-widescreen { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-2-widescreen-only { + --columnGap: 0.5rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-2-fullhd { + --columnGap: 0.5rem; } } + .columns.is-variable.is-3 { + --columnGap: 0.75rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-3-mobile { + --columnGap: 0.75rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-3-tablet { + --columnGap: 0.75rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-3-tablet-only { + --columnGap: 0.75rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-3-touch { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-3-desktop { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-3-desktop-only { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-3-widescreen { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-3-widescreen-only { + --columnGap: 0.75rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-3-fullhd { + --columnGap: 0.75rem; } } + .columns.is-variable.is-4 { + --columnGap: 1rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-4-mobile { + --columnGap: 1rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-4-tablet { + --columnGap: 1rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-4-tablet-only { + --columnGap: 1rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-4-touch { + --columnGap: 1rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-4-desktop { + --columnGap: 1rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-4-desktop-only { + --columnGap: 1rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-4-widescreen { + --columnGap: 1rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-4-widescreen-only { + --columnGap: 1rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-4-fullhd { + --columnGap: 1rem; } } + .columns.is-variable.is-5 { + --columnGap: 1.25rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-5-mobile { + --columnGap: 1.25rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-5-tablet { + --columnGap: 1.25rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-5-tablet-only { + --columnGap: 1.25rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-5-touch { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-5-desktop { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-5-desktop-only { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-5-widescreen { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-5-widescreen-only { + --columnGap: 1.25rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-5-fullhd { + --columnGap: 1.25rem; } } + .columns.is-variable.is-6 { + --columnGap: 1.5rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-6-mobile { + --columnGap: 1.5rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-6-tablet { + --columnGap: 1.5rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-6-tablet-only { + --columnGap: 1.5rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-6-touch { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-6-desktop { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-6-desktop-only { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-6-widescreen { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-6-widescreen-only { + --columnGap: 1.5rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-6-fullhd { + --columnGap: 1.5rem; } } + .columns.is-variable.is-7 { + --columnGap: 1.75rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-7-mobile { + --columnGap: 1.75rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-7-tablet { + --columnGap: 1.75rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-7-tablet-only { + --columnGap: 1.75rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-7-touch { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-7-desktop { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-7-desktop-only { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-7-widescreen { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-7-widescreen-only { + --columnGap: 1.75rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-7-fullhd { + --columnGap: 1.75rem; } } + .columns.is-variable.is-8 { + --columnGap: 2rem; } + @media screen and (max-width: 768px) { + .columns.is-variable.is-8-mobile { + --columnGap: 2rem; } } + @media screen and (min-width: 769px), print { + .columns.is-variable.is-8-tablet { + --columnGap: 2rem; } } + @media screen and (min-width: 769px) and (max-width: 1055px) { + .columns.is-variable.is-8-tablet-only { + --columnGap: 2rem; } } + @media screen and (max-width: 1055px) { + .columns.is-variable.is-8-touch { + --columnGap: 2rem; } } + @media screen and (min-width: 1056px) { + .columns.is-variable.is-8-desktop { + --columnGap: 2rem; } } + @media screen and (min-width: 1056px) and (max-width: 1215px) { + .columns.is-variable.is-8-desktop-only { + --columnGap: 2rem; } } + @media screen and (min-width: 1216px) { + .columns.is-variable.is-8-widescreen { + --columnGap: 2rem; } } + @media screen and (min-width: 1216px) and (max-width: 1407px) { + .columns.is-variable.is-8-widescreen-only { + --columnGap: 2rem; } } + @media screen and (min-width: 1408px) { + .columns.is-variable.is-8-fullhd { + --columnGap: 2rem; } } + +.tile { + align-items: stretch; + display: block; + flex-basis: 0; + flex-grow: 1; + flex-shrink: 1; + min-height: min-content; } + .tile.is-ancestor { + margin-left: -0.75rem; + margin-right: -0.75rem; + margin-top: -0.75rem; } + .tile.is-ancestor:last-child { + margin-bottom: -0.75rem; } + .tile.is-ancestor:not(:last-child) { + margin-bottom: 0.75rem; } + .tile.is-child { + margin: 0 !important; } + .tile.is-parent { + padding: 0.75rem; } + .tile.is-vertical { + flex-direction: column; } + .tile.is-vertical > .tile.is-child:not(:last-child) { + margin-bottom: 1.5rem !important; } + @media screen and (min-width: 769px), print { + .tile:not(.is-child) { + display: flex; } + .tile.is-1 { + flex: none; + width: 8.33333%; } + .tile.is-2 { + flex: none; + width: 16.66667%; } + .tile.is-3 { + flex: none; + width: 25%; } + .tile.is-4 { + flex: none; + width: 33.33333%; } + .tile.is-5 { + flex: none; + width: 41.66667%; } + .tile.is-6 { + flex: none; + width: 50%; } + .tile.is-7 { + flex: none; + width: 58.33333%; } + .tile.is-8 { + flex: none; + width: 66.66667%; } + .tile.is-9 { + flex: none; + width: 75%; } + .tile.is-10 { + flex: none; + width: 83.33333%; } + .tile.is-11 { + flex: none; + width: 91.66667%; } + .tile.is-12 { + flex: none; + width: 100%; } } + +.hero { + align-items: stretch; + display: flex; + flex-direction: column; + justify-content: space-between; } + .hero .navbar { + background: none; } + .hero .tabs ul { + border-bottom: none; } + .hero.is-white { + background-color: white; + color: #0a0a0a; } + .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-white strong { + color: inherit; } + .hero.is-white .title { + color: #0a0a0a; } + .hero.is-white .subtitle { + color: rgba(10, 10, 10, 0.9); } + .hero.is-white .subtitle a:not(.button), + .hero.is-white .subtitle strong { + color: #0a0a0a; } + @media screen and (max-width: 1055px) { + .hero.is-white .navbar-menu { + background-color: white; } } + .hero.is-white .navbar-item, + .hero.is-white .navbar-link { + color: rgba(10, 10, 10, 0.7); } + .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active, + .hero.is-white .navbar-link:hover, + .hero.is-white .navbar-link.is-active { + background-color: #f2f2f2; + color: #0a0a0a; } + .hero.is-white .tabs a { + color: #0a0a0a; + opacity: 0.9; } + .hero.is-white .tabs a:hover { + opacity: 1; } + .hero.is-white .tabs li.is-active a { + opacity: 1; } + .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a { + color: #0a0a0a; } + .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover { + background-color: #0a0a0a; + border-color: #0a0a0a; + color: white; } + .hero.is-white.is-bold { + background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } + @media screen and (max-width: 768px) { + .hero.is-white.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } } + .hero.is-black { + background-color: #0a0a0a; + color: white; } + .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-black strong { + color: inherit; } + .hero.is-black .title { + color: white; } + .hero.is-black .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-black .subtitle a:not(.button), + .hero.is-black .subtitle strong { + color: white; } + @media screen and (max-width: 1055px) { + .hero.is-black .navbar-menu { + background-color: #0a0a0a; } } + .hero.is-black .navbar-item, + .hero.is-black .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active, + .hero.is-black .navbar-link:hover, + .hero.is-black .navbar-link.is-active { + background-color: black; + color: white; } + .hero.is-black .tabs a { + color: white; + opacity: 0.9; } + .hero.is-black .tabs a:hover { + opacity: 1; } + .hero.is-black .tabs li.is-active a { + opacity: 1; } + .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a { + color: white; } + .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover { + background-color: white; + border-color: white; + color: #0a0a0a; } + .hero.is-black.is-bold { + background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } + @media screen and (max-width: 768px) { + .hero.is-black.is-bold .navbar-menu { + background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } } + .hero.is-light { + background-color: whitesmoke; + color: #363636; } + .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-light strong { + color: inherit; } + .hero.is-light .title { + color: #363636; } + .hero.is-light .subtitle { + color: rgba(54, 54, 54, 0.9); } + .hero.is-light .subtitle a:not(.button), + .hero.is-light .subtitle strong { + color: #363636; } + @media screen and (max-width: 1055px) { + .hero.is-light .navbar-menu { + background-color: whitesmoke; } } + .hero.is-light .navbar-item, + .hero.is-light .navbar-link { + color: rgba(54, 54, 54, 0.7); } + .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active, + .hero.is-light .navbar-link:hover, + .hero.is-light .navbar-link.is-active { + background-color: #e8e8e8; + color: #363636; } + .hero.is-light .tabs a { + color: #363636; + opacity: 0.9; } + .hero.is-light .tabs a:hover { + opacity: 1; } + .hero.is-light .tabs li.is-active a { + opacity: 1; } + .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a { + color: #363636; } + .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover { + background-color: #363636; + border-color: #363636; + color: whitesmoke; } + .hero.is-light.is-bold { + background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } + @media screen and (max-width: 768px) { + .hero.is-light.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } } + .hero.is-dark, .content kbd.hero { + background-color: #363636; + color: whitesmoke; } + .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-dark strong, + .content kbd.hero strong { + color: inherit; } + .hero.is-dark .title, .content kbd.hero .title { + color: whitesmoke; } + .hero.is-dark .subtitle, .content kbd.hero .subtitle { + color: rgba(245, 245, 245, 0.9); } + .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button), + .hero.is-dark .subtitle strong, + .content kbd.hero .subtitle strong { + color: whitesmoke; } + @media screen and (max-width: 1055px) { + .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu { + background-color: #363636; } } + .hero.is-dark .navbar-item, .content kbd.hero .navbar-item, + .hero.is-dark .navbar-link, + .content kbd.hero .navbar-link { + color: rgba(245, 245, 245, 0.7); } + .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active, + .hero.is-dark .navbar-link:hover, + .content kbd.hero .navbar-link:hover, + .hero.is-dark .navbar-link.is-active, + .content kbd.hero .navbar-link.is-active { + background-color: #292929; + color: whitesmoke; } + .hero.is-dark .tabs a, .content kbd.hero .tabs a { + color: whitesmoke; + opacity: 0.9; } + .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover { + opacity: 1; } + .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a { + opacity: 1; } + .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a { + color: whitesmoke; } + .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .content kbd.hero .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover, .content kbd.hero .tabs.is-toggle li.is-active a:hover { + background-color: whitesmoke; + border-color: whitesmoke; + color: #363636; } + .hero.is-dark.is-bold, .content kbd.hero.is-bold { + background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } + @media screen and (max-width: 768px) { + .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } } + .hero.is-primary, .docstring > section > a.hero.docs-sourcelink { + background-color: #4eb5de; + color: #fff; } + .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-primary strong, + .docstring > section > a.hero.docs-sourcelink strong { + color: inherit; } + .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title { + color: #fff; } + .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button), + .hero.is-primary .subtitle strong, + .docstring > section > a.hero.docs-sourcelink .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu { + background-color: #4eb5de; } } + .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item, + .hero.is-primary .navbar-link, + .docstring > section > a.hero.docs-sourcelink .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active, + .hero.is-primary .navbar-link:hover, + .docstring > section > a.hero.docs-sourcelink .navbar-link:hover, + .hero.is-primary .navbar-link.is-active, + .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active { + background-color: #39acda; + color: #fff; } + .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover { + opacity: 1; } + .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a { + opacity: 1; } + .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a { + color: #fff; } + .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #4eb5de; } + .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink { + background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } + @media screen and (max-width: 768px) { + .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu { + background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } } + .hero.is-link { + background-color: #2e63b8; + color: #fff; } + .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-link strong { + color: inherit; } + .hero.is-link .title { + color: #fff; } + .hero.is-link .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-link .subtitle a:not(.button), + .hero.is-link .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-link .navbar-menu { + background-color: #2e63b8; } } + .hero.is-link .navbar-item, + .hero.is-link .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active, + .hero.is-link .navbar-link:hover, + .hero.is-link .navbar-link.is-active { + background-color: #2958a4; + color: #fff; } + .hero.is-link .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-link .tabs a:hover { + opacity: 1; } + .hero.is-link .tabs li.is-active a { + opacity: 1; } + .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a { + color: #fff; } + .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #2e63b8; } + .hero.is-link.is-bold { + background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } + @media screen and (max-width: 768px) { + .hero.is-link.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } } + .hero.is-info { + background-color: #209cee; + color: #fff; } + .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-info strong { + color: inherit; } + .hero.is-info .title { + color: #fff; } + .hero.is-info .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-info .subtitle a:not(.button), + .hero.is-info .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-info .navbar-menu { + background-color: #209cee; } } + .hero.is-info .navbar-item, + .hero.is-info .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active, + .hero.is-info .navbar-link:hover, + .hero.is-info .navbar-link.is-active { + background-color: #1190e3; + color: #fff; } + .hero.is-info .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-info .tabs a:hover { + opacity: 1; } + .hero.is-info .tabs li.is-active a { + opacity: 1; } + .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a { + color: #fff; } + .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #209cee; } + .hero.is-info.is-bold { + background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } + @media screen and (max-width: 768px) { + .hero.is-info.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } } + .hero.is-success { + background-color: #22c35b; + color: #fff; } + .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-success strong { + color: inherit; } + .hero.is-success .title { + color: #fff; } + .hero.is-success .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-success .subtitle a:not(.button), + .hero.is-success .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-success .navbar-menu { + background-color: #22c35b; } } + .hero.is-success .navbar-item, + .hero.is-success .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active, + .hero.is-success .navbar-link:hover, + .hero.is-success .navbar-link.is-active { + background-color: #1ead51; + color: #fff; } + .hero.is-success .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-success .tabs a:hover { + opacity: 1; } + .hero.is-success .tabs li.is-active a { + opacity: 1; } + .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a { + color: #fff; } + .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #22c35b; } + .hero.is-success.is-bold { + background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } + @media screen and (max-width: 768px) { + .hero.is-success.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } } + .hero.is-warning { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-warning strong { + color: inherit; } + .hero.is-warning .title { + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning .subtitle { + color: rgba(0, 0, 0, 0.9); } + .hero.is-warning .subtitle a:not(.button), + .hero.is-warning .subtitle strong { + color: rgba(0, 0, 0, 0.7); } + @media screen and (max-width: 1055px) { + .hero.is-warning .navbar-menu { + background-color: #ffdd57; } } + .hero.is-warning .navbar-item, + .hero.is-warning .navbar-link { + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active, + .hero.is-warning .navbar-link:hover, + .hero.is-warning .navbar-link.is-active { + background-color: #ffd83e; + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning .tabs a { + color: rgba(0, 0, 0, 0.7); + opacity: 0.9; } + .hero.is-warning .tabs a:hover { + opacity: 1; } + .hero.is-warning .tabs li.is-active a { + opacity: 1; } + .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a { + color: rgba(0, 0, 0, 0.7); } + .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover { + background-color: rgba(0, 0, 0, 0.7); + border-color: rgba(0, 0, 0, 0.7); + color: #ffdd57; } + .hero.is-warning.is-bold { + background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } + @media screen and (max-width: 768px) { + .hero.is-warning.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } } + .hero.is-danger { + background-color: #da0b00; + color: #fff; } + .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), + .hero.is-danger strong { + color: inherit; } + .hero.is-danger .title { + color: #fff; } + .hero.is-danger .subtitle { + color: rgba(255, 255, 255, 0.9); } + .hero.is-danger .subtitle a:not(.button), + .hero.is-danger .subtitle strong { + color: #fff; } + @media screen and (max-width: 1055px) { + .hero.is-danger .navbar-menu { + background-color: #da0b00; } } + .hero.is-danger .navbar-item, + .hero.is-danger .navbar-link { + color: rgba(255, 255, 255, 0.7); } + .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active, + .hero.is-danger .navbar-link:hover, + .hero.is-danger .navbar-link.is-active { + background-color: #c10a00; + color: #fff; } + .hero.is-danger .tabs a { + color: #fff; + opacity: 0.9; } + .hero.is-danger .tabs a:hover { + opacity: 1; } + .hero.is-danger .tabs li.is-active a { + opacity: 1; } + .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a { + color: #fff; } + .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover { + background-color: rgba(10, 10, 10, 0.1); } + .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover { + background-color: #fff; + border-color: #fff; + color: #da0b00; } + .hero.is-danger.is-bold { + background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } + @media screen and (max-width: 768px) { + .hero.is-danger.is-bold .navbar-menu { + background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } } + .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body { + padding-bottom: 1.5rem; + padding-top: 1.5rem; } + @media screen and (min-width: 769px), print { + .hero.is-medium .hero-body { + padding-bottom: 9rem; + padding-top: 9rem; } } + @media screen and (min-width: 769px), print { + .hero.is-large .hero-body { + padding-bottom: 18rem; + padding-top: 18rem; } } + .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body { + align-items: center; + display: flex; } + .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container { + flex-grow: 1; + flex-shrink: 1; } + .hero.is-halfheight { + min-height: 50vh; } + .hero.is-fullheight { + min-height: 100vh; } + +.hero-video { + overflow: hidden; } + .hero-video video { + left: 50%; + min-height: 100%; + min-width: 100%; + position: absolute; + top: 50%; + transform: translate3d(-50%, -50%, 0); } + .hero-video.is-transparent { + opacity: 0.3; } + @media screen and (max-width: 768px) { + .hero-video { + display: none; } } + +.hero-buttons { + margin-top: 1.5rem; } + @media screen and (max-width: 768px) { + .hero-buttons .button { + display: flex; } + .hero-buttons .button:not(:last-child) { + margin-bottom: 0.75rem; } } + @media screen and (min-width: 769px), print { + .hero-buttons { + display: flex; + justify-content: center; } + .hero-buttons .button:not(:last-child) { + margin-right: 1.5rem; } } + +.hero-head, +.hero-foot { + flex-grow: 0; + flex-shrink: 0; } + +.hero-body { + flex-grow: 1; + flex-shrink: 0; + padding: 3rem 1.5rem; } + +.section { + padding: 3rem 1.5rem; } + @media screen and (min-width: 1056px) { + .section.is-medium { + padding: 9rem 1.5rem; } + .section.is-large { + padding: 18rem 1.5rem; } } + +.footer { + background-color: #fafafa; + padding: 3rem 1.5rem 6rem; } + +h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited { + color: #222222; } + +h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink { + visibility: hidden; + vertical-align: middle; + margin-left: 0.5em; + font-size: 0.7rem; } + h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + content: "\f0c1"; } + +h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink { + visibility: visible; } + +.docs-dark-only { + display: none !important; } + +.admonition { + background-color: #b5b5b5; + border-style: solid; + border-width: 1px; + border-color: #363636; + border-radius: 4px; + font-size: 1rem; } + .admonition strong { + color: currentColor; } + .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition { + font-size: 0.75rem; } + .admonition.is-medium { + font-size: 1.25rem; } + .admonition.is-large { + font-size: 1.5rem; } + .admonition.is-default { + background-color: #b5b5b5; + border-color: #363636; } + .admonition.is-default > .admonition-header { + background-color: #363636; + color: #fff; } + .admonition.is-default > .admonition-body { + color: #fff; } + .admonition.is-info { + background-color: #def0fc; + border-color: #209cee; } + .admonition.is-info > .admonition-header { + background-color: #209cee; + color: #fff; } + .admonition.is-info > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + .admonition.is-success { + background-color: #bdf4d1; + border-color: #22c35b; } + .admonition.is-success > .admonition-header { + background-color: #22c35b; + color: #fff; } + .admonition.is-success > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + .admonition.is-warning { + background-color: #fff3c5; + border-color: #ffdd57; } + .admonition.is-warning > .admonition-header { + background-color: #ffdd57; + color: rgba(0, 0, 0, 0.7); } + .admonition.is-warning > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + .admonition.is-danger { + background-color: #ffaba7; + border-color: #da0b00; } + .admonition.is-danger > .admonition-header { + background-color: #da0b00; + color: #fff; } + .admonition.is-danger > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + .admonition.is-compat { + background-color: #bdeff5; + border-color: #1db5c9; } + .admonition.is-compat > .admonition-header { + background-color: #1db5c9; + color: #fff; } + .admonition.is-compat > .admonition-body { + color: rgba(0, 0, 0, 0.7); } + +.admonition-header { + color: #fff; + background-color: #363636; + align-items: center; + font-weight: 700; + justify-content: space-between; + line-height: 1.25; + padding: 0.75em; + position: relative; } + .admonition-header:before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + margin-right: 0.75em; + content: "\f06a"; } + +.admonition-body { + color: #222222; + padding: 1em 1.25em; } + .admonition-body pre { + background-color: whitesmoke; } + .admonition-body code { + background-color: rgba(0, 0, 0, 0.05); } + +.docstring { + margin-bottom: 1em; + background-color: transparent; + border: 1px solid #dbdbdb; + box-shadow: 2px 2px 3px rgba(10, 10, 10, 0.1); + max-width: 100%; } + .docstring > header { + display: flex; + flex-grow: 1; + align-items: stretch; + padding: 0.75rem; + background-color: whitesmoke; + box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); + box-shadow: none; + border-bottom: 1px solid #dbdbdb; } + .docstring > header code { + background-color: transparent; } + .docstring > header .docstring-binding { + margin-right: 0.3em; } + .docstring > header .docstring-category { + margin-left: 0.3em; } + .docstring > section { + position: relative; + padding: 1rem 1.25rem; + border-bottom: 1px solid #dbdbdb; } + .docstring > section:last-child { + border-bottom: none; } + .docstring > section > a.docs-sourcelink { + transition: opacity 0.3s; + opacity: 0; + position: absolute; + right: 0.625rem; + bottom: 0.5rem; } + .docstring > section > a.docs-sourcelink:focus { + opacity: 1 !important; } + .docstring:hover > section > a.docs-sourcelink { + opacity: 0.2; } + .docstring:focus-within > section > a.docs-sourcelink { + opacity: 0.2; } + .docstring > section:hover a.docs-sourcelink { + opacity: 1; } + +.documenter-example-output { + background-color: white; } + +.outdated-warning-overlay { + position: fixed; + top: 0; + left: 0; + right: 0; + box-shadow: 0 0 10px rgba(0, 0, 0, 0.3); + z-index: 999; + background-color: #ffaba7; + color: rgba(0, 0, 0, 0.7); + border-bottom: 3px solid #da0b00; + padding: 10px 35px; + text-align: center; + font-size: 15px; } + .outdated-warning-overlay .outdated-warning-closer { + position: absolute; + top: calc(50% - 10px); + right: 18px; + cursor: pointer; + width: 12px; } + .outdated-warning-overlay a { + color: #2e63b8; } + .outdated-warning-overlay a:hover { + color: #363636; } + +.content pre { + border: 1px solid #dbdbdb; } + +.content code { + font-weight: inherit; } + +.content a code { + color: #2e63b8; } + +.content h1 code, .content h2 code, .content h3 code, .content h4 code, .content h5 code, .content h6 code { + color: #222222; } + +.content table { + display: block; + width: initial; + max-width: 100%; + overflow-x: auto; } + +.content blockquote > ul:first-child, .content blockquote > ol:first-child, .content .admonition-body > ul:first-child, .content .admonition-body > ol:first-child { + margin-top: 0; } + +pre, code { + font-variant-ligatures: no-contextual; } + +.breadcrumb a.is-disabled { + cursor: default; + pointer-events: none; } + .breadcrumb a.is-disabled, .breadcrumb a.is-disabled:hover { + color: #222222; } + +.hljs { + background: initial !important; + padding: initial !important; } + +.katex .katex-mathml { + top: 0; + right: 0; } + +.katex-display, mjx-container, .MathJax_Display { + margin: 0.5em 0 !important; } + +html { + -moz-osx-font-smoothing: auto; + -webkit-font-smoothing: auto; } + +li.no-marker { + list-style: none; } + +/* This file contain the overall layout. + * + * The main container is
    that is identified by id #documenter. + */ +#documenter .docs-main > article { + overflow-wrap: break-word; } + #documenter .docs-main > article .math-container { + overflow-x: auto; + overflow-y: hidden; } + +@media screen and (min-width: 1056px) { + #documenter .docs-main { + max-width: 52rem; + margin-left: 20rem; + padding-right: 1rem; } } + +@media screen and (max-width: 1055px) { + #documenter .docs-main { + width: 100%; } + #documenter .docs-main > article { + max-width: 52rem; + margin-left: auto; + margin-right: auto; + margin-bottom: 1rem; + padding: 0 1rem; } + #documenter .docs-main > header, #documenter .docs-main > nav { + max-width: 100%; + width: 100%; + margin: 0; } } + +#documenter .docs-main header.docs-navbar { + background-color: white; + border-bottom: 1px solid #dbdbdb; + z-index: 2; + min-height: 4rem; + margin-bottom: 1rem; + display: flex; } + #documenter .docs-main header.docs-navbar .breadcrumb { + flex-grow: 1; } + #documenter .docs-main header.docs-navbar .docs-right { + display: flex; + white-space: nowrap; } + #documenter .docs-main header.docs-navbar .docs-right .docs-icon, #documenter .docs-main header.docs-navbar .docs-right .docs-label, #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { + display: inline-block; } + #documenter .docs-main header.docs-navbar .docs-right .docs-label { + padding: 0; + margin-left: 0.3em; } + #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button { + margin: auto 0 auto 1rem; } + #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { + font-size: 1.5rem; + margin: auto 0 auto 1rem; } + #documenter .docs-main header.docs-navbar > * { + margin: auto 0; } + @media screen and (max-width: 1055px) { + #documenter .docs-main header.docs-navbar { + position: sticky; + top: 0; + padding: 0 1rem; + /* For Headroom.js */ + transition-property: top, box-shadow; + -webkit-transition-property: top, box-shadow; + /* Safari */ + transition-duration: 0.3s; + -webkit-transition-duration: 0.3s; + /* Safari */ } + #documenter .docs-main header.docs-navbar.headroom--not-top { + box-shadow: 0.2rem 0rem 0.4rem #bbb; + transition-duration: 0.7s; + -webkit-transition-duration: 0.7s; + /* Safari */ } + #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom { + top: -4.5rem; + transition-duration: 0.7s; + -webkit-transition-duration: 0.7s; + /* Safari */ } } + +#documenter .docs-main section.footnotes { + border-top: 1px solid #dbdbdb; } + #documenter .docs-main section.footnotes li .tag:first-child, #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, #documenter .docs-main section.footnotes li .content kbd:first-child, .content #documenter .docs-main section.footnotes li kbd:first-child { + margin-right: 1em; + margin-bottom: 0.4em; } + +#documenter .docs-main .docs-footer { + display: flex; + flex-wrap: wrap; + margin-left: 0; + margin-right: 0; + border-top: 1px solid #dbdbdb; + padding-top: 1rem; + padding-bottom: 1rem; } + @media screen and (max-width: 1055px) { + #documenter .docs-main .docs-footer { + padding-left: 1rem; + padding-right: 1rem; } } + #documenter .docs-main .docs-footer .docs-footer-nextpage, #documenter .docs-main .docs-footer .docs-footer-prevpage { + flex-grow: 1; } + #documenter .docs-main .docs-footer .docs-footer-nextpage { + text-align: right; } + #documenter .docs-main .docs-footer .flexbox-break { + flex-basis: 100%; + height: 0; } + #documenter .docs-main .docs-footer .footer-message { + font-size: 0.8em; + margin: 0.5em auto 0 auto; + text-align: center; } + +#documenter .docs-sidebar { + display: flex; + flex-direction: column; + color: #0a0a0a; + background-color: whitesmoke; + border-right: 1px solid #dbdbdb; + padding: 0; + flex: 0 0 18rem; + z-index: 5; + font-size: 1rem; + position: fixed; + left: -18rem; + width: 18rem; + height: 100%; + transition: left 0.3s; + /* Setting up a nicer theme style for the scrollbar */ } + #documenter .docs-sidebar.visible { + left: 0; + box-shadow: 0.4rem 0rem 0.8rem #bbb; } + @media screen and (min-width: 1056px) { + #documenter .docs-sidebar.visible { + box-shadow: none; } } + @media screen and (min-width: 1056px) { + #documenter .docs-sidebar { + left: 0; + top: 0; } } + #documenter .docs-sidebar .docs-logo { + margin-top: 1rem; + padding: 0 1rem; } + #documenter .docs-sidebar .docs-logo > img { + max-height: 6rem; + margin: auto; } + #documenter .docs-sidebar .docs-package-name { + flex-shrink: 0; + font-size: 1.5rem; + font-weight: 700; + text-align: center; + white-space: nowrap; + overflow: hidden; + padding: 0.5rem 0; } + #documenter .docs-sidebar .docs-package-name .docs-autofit { + max-width: 16.2rem; } + #documenter .docs-sidebar .docs-package-name a, #documenter .docs-sidebar .docs-package-name a:hover { + color: #0a0a0a; } + #documenter .docs-sidebar .docs-version-selector { + border-top: 1px solid #dbdbdb; + display: none; + padding: 0.5rem; } + #documenter .docs-sidebar .docs-version-selector.visible { + display: flex; } + #documenter .docs-sidebar ul.docs-menu { + flex-grow: 1; + user-select: none; + border-top: 1px solid #dbdbdb; + padding-bottom: 1.5rem; + /* Managing collapsible submenus */ } + #documenter .docs-sidebar ul.docs-menu > li > .tocitem { + font-weight: bold; } + #documenter .docs-sidebar ul.docs-menu > li li { + font-size: 0.95rem; + margin-left: 1em; + border-left: 1px solid #dbdbdb; } + #documenter .docs-sidebar ul.docs-menu input.collapse-toggle { + display: none; } + #documenter .docs-sidebar ul.docs-menu ul.collapsed { + display: none; } + #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed { + display: block; } + #documenter .docs-sidebar ul.docs-menu label.tocitem { + display: flex; } + #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label { + flex-grow: 2; } + #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron { + display: inline-block; + font-style: normal; + font-variant: normal; + text-rendering: auto; + line-height: 1; + font-size: 0.75rem; + margin-left: 1rem; + margin-top: auto; + margin-bottom: auto; } + #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before { + font-family: "Font Awesome 5 Free"; + font-weight: 900; + content: "\f054"; } + #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before { + content: "\f078"; } + #documenter .docs-sidebar ul.docs-menu .tocitem { + display: block; + padding: 0.5rem 0.5rem; } + #documenter .docs-sidebar ul.docs-menu .tocitem, #documenter .docs-sidebar ul.docs-menu .tocitem:hover { + color: #0a0a0a; + background: whitesmoke; } + #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, #documenter .docs-sidebar ul.docs-menu label.tocitem:hover { + color: #0a0a0a; + background-color: #ebebeb; } + #documenter .docs-sidebar ul.docs-menu li.is-active { + border-top: 1px solid #dbdbdb; + border-bottom: 1px solid #dbdbdb; + background-color: white; } + #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover { + background-color: white; + color: #0a0a0a; } + #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover { + background-color: #ebebeb; + color: #0a0a0a; } + #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child { + border-top: none; } + #documenter .docs-sidebar ul.docs-menu ul.internal { + margin: 0 0.5rem 0.5rem; + border-top: 1px solid #dbdbdb; } + #documenter .docs-sidebar ul.docs-menu ul.internal li { + font-size: 0.85rem; + border-left: none; + margin-left: 0; + margin-top: 0.5rem; } + #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem { + width: 100%; + padding: 0; } + #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before { + content: "⚬"; + margin-right: 0.4em; } + #documenter .docs-sidebar form.docs-search { + margin: auto; + margin-top: 0.5rem; + margin-bottom: 0.5rem; } + #documenter .docs-sidebar form.docs-search > input { + width: 14.4rem; } + @media screen and (min-width: 1056px) { + #documenter .docs-sidebar ul.docs-menu { + overflow-y: auto; + -webkit-overflow-scroll: touch; } + #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar { + width: .3rem; + background: none; } + #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb { + border-radius: 5px 0px 0px 5px; + background: #e0e0e0; } + #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover { + background: #cccccc; } } + @media screen and (max-width: 1055px) { + #documenter .docs-sidebar { + overflow-y: auto; + -webkit-overflow-scroll: touch; } + #documenter .docs-sidebar::-webkit-scrollbar { + width: .3rem; + background: none; } + #documenter .docs-sidebar::-webkit-scrollbar-thumb { + border-radius: 5px 0px 0px 5px; + background: #e0e0e0; } + #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover { + background: #cccccc; } } + +#documenter .docs-main #documenter-search-info { + margin-bottom: 1rem; } + +#documenter .docs-main #documenter-search-results { + list-style-type: circle; + list-style-position: outside; } + #documenter .docs-main #documenter-search-results li { + margin-left: 2rem; } + #documenter .docs-main #documenter-search-results .docs-highlight { + background-color: yellow; } + +.ansi span.sgr1 { + font-weight: bolder; } + +.ansi span.sgr2 { + font-weight: lighter; } + +.ansi span.sgr3 { + font-style: italic; } + +.ansi span.sgr4 { + text-decoration: underline; } + +.ansi span.sgr7 { + color: white; + background-color: #222222; } + +.ansi span.sgr8 { + color: transparent; } + .ansi span.sgr8 span { + color: transparent; } + +.ansi span.sgr9 { + text-decoration: line-through; } + +.ansi span.sgr30 { + color: #242424; } + +.ansi span.sgr31 { + color: #a7201f; } + +.ansi span.sgr32 { + color: #066f00; } + +.ansi span.sgr33 { + color: #856b00; } + +.ansi span.sgr34 { + color: #2149b0; } + +.ansi span.sgr35 { + color: #7d4498; } + +.ansi span.sgr36 { + color: #007989; } + +.ansi span.sgr37 { + color: gray; } + +.ansi span.sgr40 { + background-color: #242424; } + +.ansi span.sgr41 { + background-color: #a7201f; } + +.ansi span.sgr42 { + background-color: #066f00; } + +.ansi span.sgr43 { + background-color: #856b00; } + +.ansi span.sgr44 { + background-color: #2149b0; } + +.ansi span.sgr45 { + background-color: #7d4498; } + +.ansi span.sgr46 { + background-color: #007989; } + +.ansi span.sgr47 { + background-color: gray; } + +.ansi span.sgr90 { + color: #616161; } + +.ansi span.sgr91 { + color: #cb3c33; } + +.ansi span.sgr92 { + color: #0e8300; } + +.ansi span.sgr93 { + color: #a98800; } + +.ansi span.sgr94 { + color: #3c5dcd; } + +.ansi span.sgr95 { + color: #9256af; } + +.ansi span.sgr96 { + color: #008fa3; } + +.ansi span.sgr97 { + color: whitesmoke; } + +.ansi span.sgr100 { + background-color: #616161; } + +.ansi span.sgr101 { + background-color: #cb3c33; } + +.ansi span.sgr102 { + background-color: #0e8300; } + +.ansi span.sgr103 { + background-color: #a98800; } + +.ansi span.sgr104 { + background-color: #3c5dcd; } + +.ansi span.sgr105 { + background-color: #9256af; } + +.ansi span.sgr106 { + background-color: #008fa3; } + +.ansi span.sgr107 { + background-color: whitesmoke; 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Gets put into the tag.. +function set_theme_from_local_storage() { + // Intialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if(window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the browser supports user color preference + var darkPreference = false; + // Check if the users preference is for dark color scheme + if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) { + darkPreference = true; + } + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; var disabled = []; var darkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if(themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null); + // Check if the theme is primary dark theme + var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null); + // If ss is for dark theme then set the value of darkTheme to the name of the theme + if(isDarkTheme) darkTheme = themename; + // If we find a matching theme (and it's not the default), we'll set active to non-null + if(themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if(themename !== theme) disabled.push(ss); + } + if(active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName('html')[0].className = "theme--" + theme; + // and (2) disable all the other theme stylesheets + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + else if(darkTheme !== null && darkPreference === true) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName('html')[0].className = "theme--" + darkTheme; + // and (2) disable all the other theme stylesheets + disabled.forEach(function(ss){ + if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) { + ss.disabled = true; + } + }); + } +} +set_theme_from_local_storage(); diff --git a/dev/assets/warner.js b/dev/assets/warner.js new file mode 100644 index 0000000..e818482 --- /dev/null +++ b/dev/assets/warner.js @@ -0,0 +1,49 @@ +function maybeAddWarning () { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return + }; + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return + }; + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return + }; + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement('meta'); + meta.name = 'robots'; + meta.content = 'noindex'; + + document.getElementsByTagName('head')[0].appendChild(meta); + }; + + const div = document.createElement('div'); + div.classList.add('outdated-warning-overlay'); + const closer = document.createElement('button'); + closer.classList.add('outdated-warning-closer', 'delete'); + closer.addEventListener('click', function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + '/../' + window.DOCUMENTER_STABLE; + div.innerHTML = 'This documentation is not for the latest version.
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    Edit on GitHub

    Getting started

    A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

    Installation

    In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

    Index

    diff --git a/dev/search/index.html b/dev/search/index.html new file mode 100644 index 0000000..04c67f2 --- /dev/null +++ b/dev/search/index.html @@ -0,0 +1,2 @@ + +Search · Combinatorics.jl

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      diff --git a/dev/search_index.js b/dev/search_index.js new file mode 100644 index 0000000..34f9b3a --- /dev/null +++ b/dev/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"multinomials.jl\"]","category":"page"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"numbers.jl\"]","category":"page"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k)given by\\frac{1}{n}\\binom{n}{k}\\binom{n}{k-1}` Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"partitions.jl\"]","category":"page"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector{T} where T, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector{T} where T}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{var\"#s11\"} where var\"#s11\"<:Integer}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(m, f, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector{T} where T, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{T} where T, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{var\"#s1\"} where var\"#s1\"<:Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{var\"#s38\"} where var\"#s38\"<:Integer}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: Build Status) (Image: Coverage Status) (Image: Codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +} diff --git a/dev/siteinfo.js b/dev/siteinfo.js new file mode 100644 index 0000000..3343491 --- /dev/null +++ b/dev/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "dev"; diff --git a/index.html b/index.html new file mode 100644 index 0000000..1a6cc11 --- /dev/null +++ b/index.html @@ -0,0 +1,2 @@ + + diff --git a/versions.js b/versions.js new file mode 100644 index 0000000..4ec0f8f --- /dev/null +++ b/versions.js @@ -0,0 +1,5 @@ +var DOC_VERSIONS = [ + "dev", +]; +var DOCUMENTER_NEWEST = "dev"; +var DOCUMENTER_STABLE = "dev"; From 79c27a1ad304d09760c86c92785b80d53c9e9a53 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 1 Nov 2021 11:58:03 +0000 Subject: [PATCH 02/39] build based on 3a91cab --- dev/README_old/index.html | 2 +- dev/api/index.html | 2 +- dev/index.html | 2 +- dev/search/index.html | 2 +- 4 files changed, 4 insertions(+), 4 deletions(-) diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 45ad831..018c910 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
      Edit on GitHub

      Combinatorics

      Build Status Coverage Status Codecov

      A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

      Installation

      In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

      Usage

      This library provides the following functions:

      • bellnum(n): returns the n-th Bell number; always returns a BigInt;
      • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
      • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
      • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
      • combinations(a,n): returns all combinations of n elements of indexable object a;
      • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
      • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
      • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
      • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
      • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
      • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
      • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
      • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
      • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
      • legendresymbol(a,p): returns the Legendre symbol (a/p);
      • lucasnum(n): the n-th Lucas number; always returns a BigInt;
      • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
      • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
      • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
      • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
      • powerset(a): returns all subsets of an indexable object a
      • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
      • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
      • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
      • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

      Young diagrams

      Limited support for working with Young diagrams is provided.

      • partitionsequence(a): computes partition sequence for an integer partition a
      • x = a \ b creates the skew diagram for partitions (tuples) a, b
      • isrimhook(x): checks if skew diagram x is a rim hook
      • leglength(x): computes leg length of rim hook x
      • character(a, b): computes character the partition b in the ath irrep of Sn
      +Combinatorics · Combinatorics.jl
      Edit on GitHub

      Combinatorics

      Build Status Coverage Status Codecov

      A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

      Installation

      In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

      Usage

      This library provides the following functions:

      • bellnum(n): returns the n-th Bell number; always returns a BigInt;
      • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
      • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
      • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
      • combinations(a,n): returns all combinations of n elements of indexable object a;
      • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
      • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
      • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
      • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
      • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
      • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
      • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
      • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
      • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
      • legendresymbol(a,p): returns the Legendre symbol (a/p);
      • lucasnum(n): the n-th Lucas number; always returns a BigInt;
      • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
      • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
      • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
      • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
      • powerset(a): returns all subsets of an indexable object a
      • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
      • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
      • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
      • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

      Young diagrams

      Limited support for working with Young diagrams is provided.

      • partitionsequence(a): computes partition sequence for an integer partition a
      • x = a \ b creates the skew diagram for partitions (tuples) a, b
      • isrimhook(x): checks if skew diagram x is a rim hook
      • leglength(x): computes leg length of rim hook x
      • character(a, b): computes character the partition b in the ath irrep of Sn
      diff --git a/dev/api/index.html b/dev/api/index.html index 174373a..dee5e90 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -12,4 +12,4 @@ Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748. doi:10.1016/j.jsc.2003.11.001
      source
      Combinatorics.isrimhook — Method
      isrimhook(ξ::SkewDiagram)
 isrimhook(λ::Partition, μ::Partition)

      Check whether the given skew diagram is a rim hook.

      source
      Combinatorics.leglength — Method
      leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

      Compute the leg length for the given skew diagram.

      Note

      Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

      source
      +leglength(λ::Partition, μ::Partition)

      Compute the leg length for the given skew diagram.

      Note

      Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

      source diff --git a/dev/index.html b/dev/index.html index 2e69f24..9b82c80 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
      Edit on GitHub

      Getting started

      A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

      Installation

      In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

      Index

      +Getting started · Combinatorics.jl
      Edit on GitHub

      Getting started

      A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

      Installation

      In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

      Index

      diff --git a/dev/search/index.html b/dev/search/index.html index 04c67f2..a574e39 100644 --- a/dev/search/index.html +++ b/dev/search/index.html @@ -1,2 +1,2 @@ -Search · Combinatorics.jl

      Loading search...

        +Search · Combinatorics.jl

        Loading search...

          From e98e5fe07b07f1be465ddad4f22bcd4d5e392f04 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 1 Nov 2021 12:00:14 +0000 Subject: [PATCH 03/39] build based on 1efe1f6 --- dev/README_old/index.html | 2 +- dev/api/index.html | 2 +- dev/index.html | 2 +- dev/search/index.html | 2 +- 4 files changed, 4 insertions(+), 4 deletions(-) diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 018c910..be44956 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
          Edit on GitHub

          Combinatorics

          Build Status Coverage Status Codecov

          A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

          Installation

          In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

          Usage

          This library provides the following functions:

          • bellnum(n): returns the n-th Bell number; always returns a BigInt;
          • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
          • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
          • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
          • combinations(a,n): returns all combinations of n elements of indexable object a;
          • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
          • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
          • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
          • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
          • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
          • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
          • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
          • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
          • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
          • legendresymbol(a,p): returns the Legendre symbol (a/p);
          • lucasnum(n): the n-th Lucas number; always returns a BigInt;
          • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
          • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
          • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
          • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
          • powerset(a): returns all subsets of an indexable object a
          • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
          • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
          • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
          • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

          Young diagrams

          Limited support for working with Young diagrams is provided.

          • partitionsequence(a): computes partition sequence for an integer partition a
          • x = a \ b creates the skew diagram for partitions (tuples) a, b
          • isrimhook(x): checks if skew diagram x is a rim hook
          • leglength(x): computes leg length of rim hook x
          • character(a, b): computes character the partition b in the ath irrep of Sn
          +Combinatorics · Combinatorics.jl
          Edit on GitHub

          Combinatorics

          Build Status Coverage Status Codecov

          A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

          Installation

          In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

          Usage

          This library provides the following functions:

          • bellnum(n): returns the n-th Bell number; always returns a BigInt;
          • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
          • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
          • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
          • combinations(a,n): returns all combinations of n elements of indexable object a;
          • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
          • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
          • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
          • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
          • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
          • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
          • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
          • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
          • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
          • legendresymbol(a,p): returns the Legendre symbol (a/p);
          • lucasnum(n): the n-th Lucas number; always returns a BigInt;
          • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
          • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
          • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
          • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
          • powerset(a): returns all subsets of an indexable object a
          • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
          • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
          • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
          • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

          Young diagrams

          Limited support for working with Young diagrams is provided.

          • partitionsequence(a): computes partition sequence for an integer partition a
          • x = a \ b creates the skew diagram for partitions (tuples) a, b
          • isrimhook(x): checks if skew diagram x is a rim hook
          • leglength(x): computes leg length of rim hook x
          • character(a, b): computes character the partition b in the ath irrep of Sn
          diff --git a/dev/api/index.html b/dev/api/index.html index dee5e90..c960a2d 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -12,4 +12,4 @@ Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748. doi:10.1016/j.jsc.2003.11.001source
          Combinatorics.isrimhook — Method
          isrimhook(ξ::SkewDiagram)
 isrimhook(λ::Partition, μ::Partition)

          Check whether the given skew diagram is a rim hook.

          source
          Combinatorics.leglength — Method
          leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

          Compute the leg length for the given skew diagram.

          Note

          Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

          source
          +leglength(λ::Partition, μ::Partition)

          Compute the leg length for the given skew diagram.

          Note

          Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

          source diff --git a/dev/index.html b/dev/index.html index 9b82c80..20aa049 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
          Edit on GitHub

          Getting started

          A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

          Installation

          In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

          Index

          +Getting started · Combinatorics.jl
          Edit on GitHub

          Getting started

          A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

          Installation

          In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

          Index

          diff --git a/dev/search/index.html b/dev/search/index.html index a574e39..7abf26f 100644 --- a/dev/search/index.html +++ b/dev/search/index.html @@ -1,2 +1,2 @@ -Search · Combinatorics.jl

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              From bc965b80136d6a3c037d5a0afde6835bcf8f48dd Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 1 Nov 2021 12:12:12 +0000 Subject: [PATCH 04/39] build based on 7030898 --- dev/README_old/index.html | 2 +- dev/api/index.html | 2 +- dev/index.html | 2 +- dev/search/index.html | 2 +- 4 files changed, 4 insertions(+), 4 deletions(-) diff --git a/dev/README_old/index.html b/dev/README_old/index.html index be44956..c7a9dbc 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
              Edit on GitHub

              Combinatorics

              Build Status Coverage Status Codecov

              A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

              Installation

              In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

              Usage

              This library provides the following functions:

              • bellnum(n): returns the n-th Bell number; always returns a BigInt;
              • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
              • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
              • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
              • combinations(a,n): returns all combinations of n elements of indexable object a;
              • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
              • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
              • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
              • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
              • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
              • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
              • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
              • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
              • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
              • legendresymbol(a,p): returns the Legendre symbol (a/p);
              • lucasnum(n): the n-th Lucas number; always returns a BigInt;
              • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
              • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
              • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
              • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
              • powerset(a): returns all subsets of an indexable object a
              • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
              • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
              • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
              • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

              Young diagrams

              Limited support for working with Young diagrams is provided.

              • partitionsequence(a): computes partition sequence for an integer partition a
              • x = a \ b creates the skew diagram for partitions (tuples) a, b
              • isrimhook(x): checks if skew diagram x is a rim hook
              • leglength(x): computes leg length of rim hook x
              • character(a, b): computes character the partition b in the ath irrep of Sn
              +Combinatorics · Combinatorics.jl
              Edit on GitHub

              Combinatorics

              Build Status Coverage Status Codecov

              A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

              Installation

              In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

              Usage

              This library provides the following functions:

              • bellnum(n): returns the n-th Bell number; always returns a BigInt;
              • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
              • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
              • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
              • combinations(a,n): returns all combinations of n elements of indexable object a;
              • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
              • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
              • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
              • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
              • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
              • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
              • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
              • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
              • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
              • legendresymbol(a,p): returns the Legendre symbol (a/p);
              • lucasnum(n): the n-th Lucas number; always returns a BigInt;
              • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
              • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
              • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
              • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
              • powerset(a): returns all subsets of an indexable object a
              • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
              • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
              • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
              • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

              Young diagrams

              Limited support for working with Young diagrams is provided.

              • partitionsequence(a): computes partition sequence for an integer partition a
              • x = a \ b creates the skew diagram for partitions (tuples) a, b
              • isrimhook(x): checks if skew diagram x is a rim hook
              • leglength(x): computes leg length of rim hook x
              • character(a, b): computes character the partition b in the ath irrep of Sn
              diff --git a/dev/api/index.html b/dev/api/index.html index c960a2d..1840a90 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -12,4 +12,4 @@ Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748. doi:10.1016/j.jsc.2003.11.001source
              Combinatorics.isrimhook — Method
              isrimhook(ξ::SkewDiagram)
 isrimhook(λ::Partition, μ::Partition)

              Check whether the given skew diagram is a rim hook.

              source
              Combinatorics.leglength — Method
              leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

              Compute the leg length for the given skew diagram.

              Note

              Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

              source
              +leglength(λ::Partition, μ::Partition)

              Compute the leg length for the given skew diagram.

              Note

              Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

              source diff --git a/dev/index.html b/dev/index.html index 20aa049..c8ad6a5 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
              Edit on GitHub

              Getting started

              A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

              Installation

              In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

              Index

              +Getting started · Combinatorics.jl
              Edit on GitHub

              Getting started

              A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

              Installation

              In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

              Index

              diff --git a/dev/search/index.html b/dev/search/index.html index 7abf26f..00e1298 100644 --- a/dev/search/index.html +++ b/dev/search/index.html @@ -1,2 +1,2 @@ -Search · Combinatorics.jl

              Loading search...

                +Search · Combinatorics.jl

                Loading search...

                  From 8ad80ad0bdf8433125f32796f2228b3df4c167dc Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 1 Nov 2021 12:39:19 +0000 Subject: [PATCH 05/39] build based on ebc4d67 --- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- dev/search/index.html | 2 +- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/dev/README_old/index.html b/dev/README_old/index.html index c7a9dbc..bc67ffc 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                  Edit on GitHub

                  Combinatorics

                  Build Status Coverage Status Codecov

                  A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                  Installation

                  In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                  Usage

                  This library provides the following functions:

                  • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                  • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                  • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                  • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                  • combinations(a,n): returns all combinations of n elements of indexable object a;
                  • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                  • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                  • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                  • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                  • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                  • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                  • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                  • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                  • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                  • legendresymbol(a,p): returns the Legendre symbol (a/p);
                  • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                  • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                  • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                  • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                  • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                  • powerset(a): returns all subsets of an indexable object a
                  • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                  • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                  • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                  • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                  Young diagrams

                  Limited support for working with Young diagrams is provided.

                  • partitionsequence(a): computes partition sequence for an integer partition a
                  • x = a \ b creates the skew diagram for partitions (tuples) a, b
                  • isrimhook(x): checks if skew diagram x is a rim hook
                  • leglength(x): computes leg length of rim hook x
                  • character(a, b): computes character the partition b in the ath irrep of Sn
                  +Combinatorics · Combinatorics.jl
                  Edit on GitHub

                  Combinatorics

                  Build Status Coverage Status Codecov

                  A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                  Installation

                  In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                  Usage

                  This library provides the following functions:

                  • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                  • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                  • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                  • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                  • combinations(a,n): returns all combinations of n elements of indexable object a;
                  • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                  • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                  • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                  • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                  • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                  • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                  • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                  • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                  • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                  • legendresymbol(a,p): returns the Legendre symbol (a/p);
                  • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                  • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                  • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                  • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                  • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                  • powerset(a): returns all subsets of an indexable object a
                  • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                  • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                  • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                  • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                  Young diagrams

                  Limited support for working with Young diagrams is provided.

                  • partitionsequence(a): computes partition sequence for an integer partition a
                  • x = a \ b creates the skew diagram for partitions (tuples) a, b
                  • isrimhook(x): checks if skew diagram x is a rim hook
                  • leglength(x): computes leg length of rim hook x
                  • character(a, b): computes character the partition b in the ath irrep of Sn
                  diff --git a/dev/api/index.html b/dev/api/index.html index 1840a90..3b62e5e 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                  Edit on GitHub

                  API reference

                  Combinations

                  Combinatorics.CoolLexCombinations — Type
                  CoolLexCombinations

                  Produce $(n,k)$-combinations in cool-lex order.

                  Reference

                  Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                  source
                  Combinatorics.combinations — Method
                  combinations(a, n)

                  Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                  source
                  Combinatorics.combinations — Method
                  combinations(a)

                  Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                  source
                  Combinatorics.powerset — Function
                  powerset(a, min=0, max=length(a))

                  Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                  source

                  Factorials

                  Combinatorics.derangement — Method
                  derangement(n)

                  Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                  source

                  Multinomials

                  Combinatorics.multiexponents — Method
                  multiexponents(m, n)

                  Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                  For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                  julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                  Edit on GitHub
                  API reference
                  Combinations
                  Combinatorics.CoolLexCombinations — Type
                  CoolLexCombinations
                  Produce $(n,k)$-combinations in cool-lex order.
                  Reference
                  Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                  source
                  Combinatorics.combinations — Method
                  combinations(a, n)
                  Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                  source
                  Combinatorics.combinations — Method
                  combinations(a)
                  Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                  source
                  Combinatorics.powerset — Function
                  powerset(a, min=0, max=length(a))
                  Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                  source
                  Factorials
                  Combinatorics.derangement — Method
                  derangement(n)
                  Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                  source
                  Multinomials
                  Combinatorics.multiexponents — Method
                  multiexponents(m, n)
                  Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                  For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                  julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                  source
                  Numbers
                  Combinatorics.lobbnum — Method
                  lobbnum(m,n)
                  Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                  source
                  Combinatorics.narayana — Method
                  narayana(n,k)
                  Compute the Narayana number N(n,k)given by\frac{1}{n}\binom{n}{k}\binom{n}{k-1}` Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                  source
                  Partitions
                  Combinatorics.integer_partitions — Method
                  integer_partitions(n)
                  List the partitions of the integer n.
                  Note
                  The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                  source
                  Combinatorics.partitions — Method
                  partitions(s::AbstractVector, m::Int)
                  Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                  source
                  Combinatorics.partitions — Method
                  partitions(s::AbstractVector)
                  Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                  source
                  Combinatorics.partitions — Method
                  partitions(n, m)
                  Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                  source
                  Combinatorics.partitions — Method
                  partitions(n)
                  Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                  source
                  Combinatorics.prevprod — Method
                  prevprod(a::Vector{Int}, x)
                  Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                  For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                  \[i_1^n_1 i_2^n_2 i_3^n_3 \leq x\]
                  for integers $n_1$, $n_2$, $n_3$.
                  source
                  Permutations
                  Combinatorics.levicivita — Method
                  levicivita(p)
                  Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                  The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                  source
                  Combinatorics.nthperm — Method
                  nthperm(p)
                  Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                  source
                  Combinatorics.parity — Method
                  parity(p)
                  Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                  source
                  Combinatorics.permutations — Method
                  permutations(a)
                  Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.
                  source
                  Young diagrams
                  Combinatorics.character — Method
                  character(λ::Partition, μ::Partition)
                  Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                  Implements the Murnaghan-Nakayama algorithm as described in:
                  Dan Bernstein,
+ [0, 0, 2]
                  source
                  Numbers
                  Combinatorics.lobbnum — Method
                  lobbnum(m,n)
                  Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                  source
                  Combinatorics.narayana — Method
                  narayana(n,k)
                  Compute the Narayana number N(n,k)given by\frac{1}{n}\binom{n}{k}\binom{n}{k-1}` Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                  source
                  Partitions
                  Combinatorics.integer_partitions — Method
                  integer_partitions(n)
                  List the partitions of the integer n.
                  Note
                  The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                  source
                  Combinatorics.partitions — Method
                  partitions(s::AbstractVector, m::Int)
                  Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                  source
                  Combinatorics.partitions — Method
                  partitions(s::AbstractVector)
                  Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                  source
                  Combinatorics.partitions — Method
                  partitions(n, m)
                  Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                  source
                  Combinatorics.partitions — Method
                  partitions(n)
                  Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                  source
                  Combinatorics.prevprod — Method
                  prevprod(a::Vector{Int}, x)
                  Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                  For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                  \[i_1^n_1 i_2^n_2 i_3^n_3 \leq x\]
                  for integers $n_1$, $n_2$, $n_3$.
                  source
                  Permutations
                  Combinatorics.levicivita — Method
                  levicivita(p)
                  Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                  The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                  source
                  Combinatorics.nthperm — Method
                  nthperm(p)
                  Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                  source
                  Combinatorics.parity — Method
                  parity(p)
                  Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                  source
                  Combinatorics.permutations — Method
                  permutations(a)
                  Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.
                  source
                  Young diagrams
                  Combinatorics.character — Method
                  character(λ::Partition, μ::Partition)
                  Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                  Implements the Murnaghan-Nakayama algorithm as described in:
                  Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                  source
                  Combinatorics.isrimhook — Method
                  isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                  Check whether the given skew diagram is a rim hook.
                  source
                  Combinatorics.leglength — Method
                  leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                  Compute the leg length for the given skew diagram.
                  Note
                  Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                  source
                  
+doi:10.1016/j.jsc.2003.11.001
                  source
                  Combinatorics.isrimhook — Method
                  isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                  Check whether the given skew diagram is a rim hook.

                  source
                  Combinatorics.leglength — Method
                  leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                  Compute the leg length for the given skew diagram.

                  Note

                  Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                  source
                  diff --git a/dev/index.html b/dev/index.html index c8ad6a5..fc1c607 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                  Edit on GitHub

                  Getting started

                  A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                  Installation

                  In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                  Index

                  +Getting started · Combinatorics.jl
                  Edit on GitHub

                  Getting started

                  A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                  Installation

                  In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                  Index

                  diff --git a/dev/search/index.html b/dev/search/index.html index 00e1298..2d7d75b 100644 --- a/dev/search/index.html +++ b/dev/search/index.html @@ -1,2 +1,2 @@ -Search · Combinatorics.jl

                  Loading search...

                    +Search · Combinatorics.jl

                    Loading search...

                      From a90e32e898974e388b1a748b43b70c7e3c6f324f Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Thu, 25 Nov 2021 04:52:11 +0000 Subject: [PATCH 06/39] build based on d1b633b --- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- dev/search/index.html | 2 +- dev/search_index.js | 2 +- 5 files changed, 9 insertions(+), 9 deletions(-) diff --git a/dev/README_old/index.html b/dev/README_old/index.html index bc67ffc..326d81d 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                      Edit on GitHub

                      Combinatorics

                      Build Status Coverage Status Codecov

                      A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                      Installation

                      In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                      Usage

                      This library provides the following functions:

                      • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                      • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                      • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                      • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                      • combinations(a,n): returns all combinations of n elements of indexable object a;
                      • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                      • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                      • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                      • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                      • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                      • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                      • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                      • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                      • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                      • legendresymbol(a,p): returns the Legendre symbol (a/p);
                      • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                      • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                      • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                      • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                      • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                      • powerset(a): returns all subsets of an indexable object a
                      • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                      • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                      • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                      • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                      Young diagrams

                      Limited support for working with Young diagrams is provided.

                      • partitionsequence(a): computes partition sequence for an integer partition a
                      • x = a \ b creates the skew diagram for partitions (tuples) a, b
                      • isrimhook(x): checks if skew diagram x is a rim hook
                      • leglength(x): computes leg length of rim hook x
                      • character(a, b): computes character the partition b in the ath irrep of Sn
                      +Combinatorics · Combinatorics.jl
                      Edit on GitHub

                      Combinatorics

                      Build Status Coverage Status Codecov

                      A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                      Installation

                      In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                      Usage

                      This library provides the following functions:

                      • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                      • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                      • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                      • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                      • combinations(a,n): returns all combinations of n elements of indexable object a;
                      • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                      • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                      • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                      • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                      • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                      • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                      • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                      • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                      • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                      • legendresymbol(a,p): returns the Legendre symbol (a/p);
                      • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                      • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                      • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                      • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                      • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                      • powerset(a): returns all subsets of an indexable object a
                      • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                      • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                      • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                      • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                      Young diagrams

                      Limited support for working with Young diagrams is provided.

                      • partitionsequence(a): computes partition sequence for an integer partition a
                      • x = a \ b creates the skew diagram for partitions (tuples) a, b
                      • isrimhook(x): checks if skew diagram x is a rim hook
                      • leglength(x): computes leg length of rim hook x
                      • character(a, b): computes character the partition b in the ath irrep of Sn
                      diff --git a/dev/api/index.html b/dev/api/index.html index 3b62e5e..9fabc7d 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                      Edit on GitHub

                      API reference

                      Combinations

                      Combinatorics.CoolLexCombinations — Type
                      CoolLexCombinations

                      Produce $(n,k)$-combinations in cool-lex order.

                      Reference

                      Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                      source
                      Combinatorics.combinations — Method
                      combinations(a, n)

                      Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                      source
                      Combinatorics.combinations — Method
                      combinations(a)

                      Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                      source
                      Combinatorics.powerset — Function
                      powerset(a, min=0, max=length(a))

                      Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                      source

                      Factorials

                      Combinatorics.derangement — Method
                      derangement(n)

                      Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                      source

                      Multinomials

                      Combinatorics.multiexponents — Method
                      multiexponents(m, n)

                      Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                      For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                      julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                      Edit on GitHub
                      API reference
                      Combinations
                      Combinatorics.CoolLexCombinations — Type
                      CoolLexCombinations
                      Produce $(n,k)$-combinations in cool-lex order.
                      Reference
                      Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                      source
                      Combinatorics.combinations — Method
                      combinations(a, n)
                      Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                      source
                      Combinatorics.combinations — Method
                      combinations(a)
                      Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                      source
                      Combinatorics.powerset — Function
                      powerset(a, min=0, max=length(a))
                      Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                      source
                      Factorials
                      Combinatorics.derangement — Method
                      derangement(n)
                      Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                      source
                      Multinomials
                      Combinatorics.multiexponents — Method
                      multiexponents(m, n)
                      Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                      For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                      julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                      source
                      Numbers
                      Combinatorics.lobbnum — Method
                      lobbnum(m,n)
                      Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                      source
                      Combinatorics.narayana — Method
                      narayana(n,k)
                      Compute the Narayana number N(n,k)given by\frac{1}{n}\binom{n}{k}\binom{n}{k-1}` Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                      source
                      Partitions
                      Combinatorics.integer_partitions — Method
                      integer_partitions(n)
                      List the partitions of the integer n.
                      Note
                      The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                      source
                      Combinatorics.partitions — Method
                      partitions(s::AbstractVector, m::Int)
                      Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                      source
                      Combinatorics.partitions — Method
                      partitions(s::AbstractVector)
                      Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                      source
                      Combinatorics.partitions — Method
                      partitions(n, m)
                      Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                      source
                      Combinatorics.partitions — Method
                      partitions(n)
                      Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                      source
                      Combinatorics.prevprod — Method
                      prevprod(a::Vector{Int}, x)
                      Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                      For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                      \[i_1^n_1 i_2^n_2 i_3^n_3 \leq x\]
                      for integers $n_1$, $n_2$, $n_3$.
                      source
                      Permutations
                      Combinatorics.levicivita — Method
                      levicivita(p)
                      Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                      The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                      source
                      Combinatorics.nthperm — Method
                      nthperm(p)
                      Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                      source
                      Combinatorics.parity — Method
                      parity(p)
                      Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                      source
                      Combinatorics.permutations — Method
                      permutations(a)
                      Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.
                      source
                      Young diagrams
                      Combinatorics.character — Method
                      character(λ::Partition, μ::Partition)
                      Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                      Implements the Murnaghan-Nakayama algorithm as described in:
                      Dan Bernstein,
+ [0, 0, 2]
                      source
                      Numbers
                      Combinatorics.lobbnum — Method
                      lobbnum(m,n)
                      Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                      source
                      Combinatorics.narayana — Method
                      narayana(n,k)
                      Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                      source
                      Partitions
                      Combinatorics.integer_partitions — Method
                      integer_partitions(n)
                      List the partitions of the integer n.
                      Note
                      The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                      source
                      Combinatorics.partitions — Method
                      partitions(s::AbstractVector, m::Int)
                      Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                      source
                      Combinatorics.partitions — Method
                      partitions(s::AbstractVector)
                      Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                      source
                      Combinatorics.partitions — Method
                      partitions(n, m)
                      Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                      source
                      Combinatorics.partitions — Method
                      partitions(n)
                      Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                      source
                      Combinatorics.prevprod — Method
                      prevprod(a::Vector{Int}, x)
                      Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                      For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                      $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                      for integers $n_1$, $n_2$, $n_3$.
                      source
                      Permutations
                      Combinatorics.levicivita — Method
                      levicivita(p)
                      Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                      The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                      source
                      Combinatorics.nthperm — Method
                      nthperm(p)
                      Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                      source
                      Combinatorics.parity — Method
                      parity(p)
                      Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                      source
                      Combinatorics.permutations — Method
                      permutations(a)
                      Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.
                      source
                      Young diagrams
                      Combinatorics.character — Method
                      character(λ::Partition, μ::Partition)
                      Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                      Implements the Murnaghan-Nakayama algorithm as described in:
                      Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                      source
                      Combinatorics.isrimhook — Method
                      isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                      Check whether the given skew diagram is a rim hook.
                      source
                      Combinatorics.leglength — Method
                      leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                      Compute the leg length for the given skew diagram.
                      Note
                      Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                      source
                      
+doi:10.1016/j.jsc.2003.11.001
                      source
                      Combinatorics.isrimhook — Method
                      isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                      Check whether the given skew diagram is a rim hook.

                      source
                      Combinatorics.leglength — Method
                      leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                      Compute the leg length for the given skew diagram.

                      Note

                      Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                      source
                      diff --git a/dev/index.html b/dev/index.html index fc1c607..5751aba 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                      Edit on GitHub

                      Getting started

                      A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                      Installation

                      In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                      Index

                      +Getting started · Combinatorics.jl
                      Edit on GitHub

                      Getting started

                      A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                      Installation

                      In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                      Index

                      diff --git a/dev/search/index.html b/dev/search/index.html index 2d7d75b..d475f7d 100644 --- a/dev/search/index.html +++ b/dev/search/index.html @@ -1,2 +1,2 @@ -Search · Combinatorics.jl

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                        +Search · Combinatorics.jl

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                          diff --git a/dev/search_index.js b/dev/search_index.js index 34f9b3a..ed8582f 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"multinomials.jl\"]","category":"page"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"numbers.jl\"]","category":"page"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k)given by\\frac{1}{n}\\binom{n}{k}\\binom{n}{k-1}` Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"partitions.jl\"]","category":"page"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector{T} where T, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector{T} where T}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{var\"#s11\"} where var\"#s11\"<:Integer}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(m, f, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector{T} where T, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{T} where T, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{var\"#s1\"} where var\"#s1\"<:Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{var\"#s38\"} where var\"#s38\"<:Integer}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: Build Status) (Image: Coverage Status) (Image: Codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"multinomials.jl\"]","category":"page"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"numbers.jl\"]","category":"page"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"partitions.jl\"]","category":"page"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector{T} where T, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector{T} where T}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{var\"#s11\"} where var\"#s11\"<:Integer}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(m, f, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector{T} where T, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{T} where T, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{var\"#s1\"} where var\"#s1\"<:Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{var\"#s38\"} where var\"#s38\"<:Integer}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: Build Status) (Image: Coverage Status) (Image: Codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From 45fc9c5382683a448691e015ba4e23d4d9d5c152 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 2 Feb 2024 05:38:42 +0000 Subject: [PATCH 07/39] build based on 9731bcd --- dev/.documenter-siteinfo.json | 1 + dev/README_old/index.html | 2 +- dev/api/index.html | 10 +- dev/assets/documenter.js | 811 ++- dev/assets/search.js | 251 - dev/assets/themes/documenter-dark.css | 7755 +---------------------- dev/assets/themes/documenter-light.css | 7812 +----------------------- dev/assets/themeswap.js | 82 +- dev/assets/warner.js | 87 +- dev/index.html | 2 +- dev/search/index.html | 2 - dev/search_index.js | 2 +- 12 files changed, 826 insertions(+), 15991 deletions(-) create mode 100644 dev/.documenter-siteinfo.json delete mode 100644 dev/assets/search.js delete mode 100644 dev/search/index.html diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json new file mode 100644 index 0000000..c551771 --- /dev/null +++ b/dev/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-02T05:38:39","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 326d81d..42a3db5 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                          Edit on GitHub

                          Combinatorics

                          Build Status Coverage Status Codecov

                          A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                          Installation

                          In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                          Usage

                          This library provides the following functions:

                          • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                          • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                          • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                          • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                          • combinations(a,n): returns all combinations of n elements of indexable object a;
                          • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                          • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                          • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                          • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                          • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                          • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                          • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                          • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                          • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                          • legendresymbol(a,p): returns the Legendre symbol (a/p);
                          • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                          • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                          • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                          • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                          • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                          • powerset(a): returns all subsets of an indexable object a
                          • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                          • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                          • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                          • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                          Young diagrams

                          Limited support for working with Young diagrams is provided.

                          • partitionsequence(a): computes partition sequence for an integer partition a
                          • x = a \ b creates the skew diagram for partitions (tuples) a, b
                          • isrimhook(x): checks if skew diagram x is a rim hook
                          • leglength(x): computes leg length of rim hook x
                          • character(a, b): computes character the partition b in the ath irrep of Sn
                          +Combinatorics · Combinatorics.jl
                          GitHub

                          Combinatorics

                          Build Status Coverage Status Codecov

                          A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                          Installation

                          In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                          Usage

                          This library provides the following functions:

                          • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                          • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                          • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                          • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                          • combinations(a,n): returns all combinations of n elements of indexable object a;
                          • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                          • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                          • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                          • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                          • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                          • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                          • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                          • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                          • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                          • legendresymbol(a,p): returns the Legendre symbol (a/p);
                          • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                          • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                          • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                          • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                          • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                          • powerset(a): returns all subsets of an indexable object a
                          • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                          • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                          • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                          • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                          Young diagrams

                          Limited support for working with Young diagrams is provided.

                          • partitionsequence(a): computes partition sequence for an integer partition a
                          • x = a \ b creates the skew diagram for partitions (tuples) a, b
                          • isrimhook(x): checks if skew diagram x is a rim hook
                          • leglength(x): computes leg length of rim hook x
                          • character(a, b): computes character the partition b in the ath irrep of Sn
                          diff --git a/dev/api/index.html b/dev/api/index.html index 9fabc7d..a0e406a 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                          Edit on GitHub

                          API reference

                          Combinations

                          Combinatorics.CoolLexCombinations — Type
                          CoolLexCombinations

                          Produce $(n,k)$-combinations in cool-lex order.

                          Reference

                          Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                          source
                          Combinatorics.combinations — Method
                          combinations(a, n)

                          Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                          source
                          Combinatorics.combinations — Method
                          combinations(a)

                          Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                          source
                          Combinatorics.powerset — Function
                          powerset(a, min=0, max=length(a))

                          Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                          source

                          Factorials

                          Combinatorics.derangement — Method
                          derangement(n)

                          Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                          source

                          Multinomials

                          Combinatorics.multiexponents — Method
                          multiexponents(m, n)

                          Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                          For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                          julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                          GitHub
                          API reference
                          Combinations
                          Combinatorics.CoolLexCombinations — Type
                          CoolLexCombinations
                          Produce $(n,k)$-combinations in cool-lex order.
                          Reference
                          Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                          source
                          Combinatorics.combinations — Method
                          combinations(a, n)
                          Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                          source
                          Combinatorics.combinations — Method
                          combinations(a)
                          Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                          source
                          Combinatorics.powerset — Function
                          powerset(a, min=0, max=length(a))
                          Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                          source
                          Factorials
                          Combinatorics.derangement — Method
                          derangement(n)
                          Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                          source
                          Multinomials
                          Combinatorics.multiexponents — Method
                          multiexponents(m, n)
                          Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                          For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                          julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                          source
                          Numbers
                          Combinatorics.lobbnum — Method
                          lobbnum(m,n)
                          Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                          source
                          Combinatorics.narayana — Method
                          narayana(n,k)
                          Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                          source
                          Partitions
                          Combinatorics.integer_partitions — Method
                          integer_partitions(n)
                          List the partitions of the integer n.
                          Note
                          The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                          source
                          Combinatorics.partitions — Method
                          partitions(s::AbstractVector, m::Int)
                          Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                          source
                          Combinatorics.partitions — Method
                          partitions(s::AbstractVector)
                          Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                          source
                          Combinatorics.partitions — Method
                          partitions(n, m)
                          Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                          source
                          Combinatorics.partitions — Method
                          partitions(n)
                          Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                          source
                          Combinatorics.prevprod — Method
                          prevprod(a::Vector{Int}, x)
                          Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                          For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                          $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                          for integers $n_1$, $n_2$, $n_3$.
                          source
                          Permutations
                          Combinatorics.levicivita — Method
                          levicivita(p)
                          Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                          The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                          source
                          Combinatorics.nthperm — Method
                          nthperm(p)
                          Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                          source
                          Combinatorics.parity — Method
                          parity(p)
                          Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                          source
                          Combinatorics.permutations — Method
                          permutations(a)
                          Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.
                          source
                          Young diagrams
                          Combinatorics.character — Method
                          character(λ::Partition, μ::Partition)
                          Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                          Implements the Murnaghan-Nakayama algorithm as described in:
                          Dan Bernstein,
+ [0, 0, 2]
                          source
                          Numbers
                          Combinatorics.lobbnum — Method
                          lobbnum(m,n)
                          Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                          source
                          Combinatorics.narayana — Method
                          narayana(n,k)
                          Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                          source
                          Partitions
                          Combinatorics.integer_partitions — Method
                          integer_partitions(n)
                          List the partitions of the integer n.
                          Note
                          The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                          source
                          Combinatorics.partitions — Method
                          partitions(s::AbstractVector, m::Int)
                          Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                          source
                          Combinatorics.partitions — Method
                          partitions(s::AbstractVector)
                          Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                          source
                          Combinatorics.partitions — Method
                          partitions(n, m)
                          Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                          source
                          Combinatorics.partitions — Method
                          partitions(n)
                          Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                          source
                          Combinatorics.prevprod — Method
                          prevprod(a::Vector{Int}, x)
                          Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                          For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                          $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                          for integers $n_1$, $n_2$, $n_3$.
                          source
                          Permutations
                          Combinatorics.levicivita — Method
                          levicivita(p)
                          Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                          The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                          source
                          Combinatorics.nthperm — Method
                          nthperm(p)
                          Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                          source
                          Combinatorics.parity — Method
                          parity(p)
                          Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                          source
                          Combinatorics.permutations — Method
                          permutations(a, t)
                          Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                          source
                          Combinatorics.permutations — Method
                          permutations(a)
                          Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                          source
                          Young diagrams
                          Combinatorics.character — Method
                          character(λ::Partition, μ::Partition)
                          Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                          Implements the Murnaghan-Nakayama algorithm as described in:
                          Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                          source
                          Combinatorics.isrimhook — Method
                          isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                          Check whether the given skew diagram is a rim hook.
                          source
                          Combinatorics.leglength — Method
                          leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                          Compute the leg length for the given skew diagram.
                          Note
                          Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                          source
                          
+doi:10.1016/j.jsc.2003.11.001
                          source
                          Combinatorics.isrimhook — Method
                          isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                          Check whether the given skew diagram is a rim hook.

                          source
                          Combinatorics.leglength — Method
                          leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                          Compute the leg length for the given skew diagram.

                          Note

                          Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                          source
                          diff --git a/dev/assets/documenter.js b/dev/assets/documenter.js index 6d0b785..f531160 100644 --- a/dev/assets/documenter.js +++ b/dev/assets/documenter.js @@ -1,15 +1,16 @@ // Generated by Documenter.jl requirejs.config({ paths: { - 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.0.1/languages/julia.min', + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', - 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', - 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/contrib/auto-render.min', - 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'minisearch': 'https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', - 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.11/katex.min', - 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.0.1/highlight.min', - 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.0.1/languages/julia-repl.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', }, shim: { "highlight-julia": { @@ -70,6 +71,144 @@ $(document).ready(function() { hljs.highlightAll(); }) +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function () { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + }) //////////////////////////////////////////////////////////////////////////////// require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { @@ -77,29 +216,418 @@ require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { // Manages the top navigation bar (hides it when the user starts scrolling down on the // mobile). window.Headroom = Headroom; // work around buggy module loading? -$(document).ready(function() { - $('#documenter .docs-navbar').headroom({ - "tolerance": {"up": 10, "down": 10}, +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, }); +}); + }) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'minisearch'], function($, minisearch) { + +// In general, most search related things will have "search" as a prefix. +// To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +let results = []; +let timer = undefined; + +let data = documenterSearchIndex["docs"].map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; +}); + +// list below is the lunr 2.1.3 list minus the intersect with names(Base) +// (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) +// ideally we'd just filter the original list but it's not available as a variable +const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", +]); + +let index = new minisearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with search results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + boost: { title: 100 }, + fuzzy: 2, + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + } + + return word ?? null; + }, + tokenize: (string) => string.split(/[\s\-\.]+/), + }, +}); + +index.addAll(data); + +let filters = [...new Set(data.map((x) => x.category))]; +var modal_filters = make_modal_body_filters(filters); +var filter_results = []; + +$(document).on("keyup", ".documenter-search-input", function (event) { + // Adding a debounce to prevent disruptions from super-speed typing! + debounce(() => update_search(filter_results), 300); +}); + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + $(this).removeClass("search-filter-selected"); + } else { + $(this).addClass("search-filter-selected"); + } + + // Adding a debounce to prevent disruptions from crazy clicking! + debounce(() => get_filters(), 300); +}); + +/** + * A debounce function, takes a function and an optional timeout in milliseconds + * + * @function callback + * @param {number} timeout + */ +function debounce(callback, timeout = 300) { + clearTimeout(timer); + timer = setTimeout(callback, timeout); +} + +/** + * Make/Update the search component + * + * @param {string[]} selected_filters + */ +function update_search(selected_filters = []) { + let initial_search_body = ` +
                          Type something to get started!
                          + `; + + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + results = index.search(querystring, { + filter: (result) => { + // Filtering results + if (selected_filters.length === 0) { + return result.score >= 1; + } else { + return ( + result.score >= 1 && selected_filters.includes(result.category) + ); + } + }, + }); + + let search_result_container = ``; + let search_divider = `
                          `; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + results.forEach(function (result) { + if (result.location) { + // Checking for duplication of results for the same page + if (!links.includes(result.location)) { + search_results += make_search_result(result, querystring); + count++; + } + + links.push(result.location); + } + }); + + let result_count = `
                          ${count} result(s)
                          `; + + search_result_container = ` +
                          + ${modal_filters} + ${search_divider} + ${result_count} +
                          + ${search_results} +
                          +
                          + `; + } else { + search_result_container = ` +
                          + ${modal_filters} + ${search_divider} +
                          0 result(s)
                          +
                          +
                          No result found!
                          + `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + filter_results = []; + modal_filters = make_modal_body_filters(filters, filter_results); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(initial_search_body); + } +} + +/** + * Make the modal filter html + * + * @param {string[]} filters + * @param {string[]} selected_filters + * @returns string + */ +function make_modal_body_filters(filters, selected_filters = []) { + let str = ``; + + filters.forEach((val) => { + if (selected_filters.includes(val)) { + str += `${val}`; + } else { + str += `${val}`; + } + }); + + let filter_html = ` +
                          + Filters: + ${str} +
                          + `; + + return filter_html; +} + +/** + * Make the result component given a minisearch result data object and the value of the search input as queryString. + * To view the result object structure, refer: https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ +function make_search_result(result, querystring) { + let search_divider = `
                          `; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + + let textindex = new RegExp(`\\b${querystring}\\b`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`\\b${querystring}\\b`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
                          +
                          ${result.title}
                          +
                          ${result.category}
                          +
                          +

                          + ${display_result} +

                          +
                          + ${display_link} +
                          +                           + ${search_divider} + `; + + return result_div; +} + +/** + * Get selected filters, remake the filter html and lastly update the search modal + */ +function get_filters() { + let ele = $(".search-filters .search-filter-selected").get(); + filter_results = ele.map((x) => $(x).text().toLowerCase()); + modal_filters = make_modal_body_filters(filters, filter_results); + update_search(filter_results); +} }) //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { // Modal settings dialog -$(document).ready(function() { - var settings = $('#documenter-settings'); - $('#documenter-settings-button').click(function(){ - settings.toggleClass('is-active'); +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); }); // Close the dialog if X is clicked - $('#documenter-settings button.delete').click(function(){ - settings.removeClass('is-active'); + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); }); // Close dialog if ESC is pressed - $(document).keyup(function(e) { - if (e.keyCode == 27) settings.removeClass('is-active'); + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); }); }); @@ -107,145 +635,242 @@ $(document).ready(function() { //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { +let search_modal_header = ` +
                          +
                          +

                          + + + + +

                          +
                          +
                          + +
                          +
                          +`; + +let initial_search_body = ` +
                          Type something to get started!
                          +`; + +let search_modal_footer = ` +
                          + + Ctrl + + / to search + + esc to close +
                          +`; + +$(document.body).append( + ` + + ` +); + +document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); +}); + +document.querySelector(".close-search-modal").addEventListener("click", () => { + closeModal(); +}); + +$(document).on("click", ".search-result-link", function () { + closeModal(); +}); + +document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; +}); + +// Functions to open and close a modal +function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); +} + +function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
                          Type something to get started!
                          + `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); +} + +document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + // Manages the showing and hiding of the sidebar. -$(document).ready(function() { +$(document).ready(function () { var sidebar = $("#documenter > .docs-sidebar"); - var sidebar_button = $("#documenter-sidebar-button") - sidebar_button.click(function(ev) { + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { ev.preventDefault(); - sidebar.toggleClass('visible'); - if (sidebar.hasClass('visible')) { + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { // Makes sure that the current menu item is visible in the sidebar. $("#documenter .docs-menu a.is-active").focus(); } }); - $("#documenter > .docs-main").bind('click', function(ev) { + $("#documenter > .docs-main").bind("click", function (ev) { if ($(ev.target).is(sidebar_button)) { return; } - if (sidebar.hasClass('visible')) { - sidebar.removeClass('visible'); + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); } }); -}) +}); // Resizes the package name / sitename in the sidebar if it is too wide. // Inspired by: https://github.com/davatron5000/FitText.js -$(document).ready(function() { +$(document).ready(function () { e = $("#documenter .docs-autofit"); function resize() { - var L = parseInt(e.css('max-width'), 10); + var L = parseInt(e.css("max-width"), 10); var L0 = e.width(); - if(L0 > L) { - var h0 = parseInt(e.css('font-size'), 10); - e.css('font-size', L * h0 / L0); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); // TODO: make sure it survives resizes? } } // call once and then register events resize(); $(window).resize(resize); - $(window).on('orientationchange', resize); + $(window).on("orientationchange", resize); }); // Scroll the navigation bar to the currently selected menu item -$(document).ready(function() { +$(document).ready(function () { var sidebar = $("#documenter .docs-menu").get(0); var active = $("#documenter .docs-menu .is-active").get(0); - if(typeof active !== 'undefined') { + if (typeof active !== "undefined") { sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; } -}) +}); }) //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { -function set_theme(theme) { - var active = null; - var disabled = []; - for (var i = 0; i < document.styleSheets.length; i++) { - var ss = document.styleSheets[i]; - var themename = ss.ownerNode.getAttribute("data-theme-name"); - if(themename === null) continue; // ignore non-theme stylesheets - // Find the active theme - if(themename === theme) active = ss; - else disabled.push(ss); - } - if(active !== null) { - active.disabled = false; - if(active.ownerNode.getAttribute("data-theme-primary") === null) { - document.getElementsByTagName('html')[0].className = "theme--" + theme; - } else { - document.getElementsByTagName('html')[0].className = ""; - } - disabled.forEach(function(ss){ - ss.disabled = true; - }); - } - - // Store the theme in localStorage - if(typeof(window.localStorage) !== "undefined") { - window.localStorage.setItem("documenter-theme", theme); - } else { - console.error("Browser does not support window.localStorage"); - } -} - // Theme picker setup -$(document).ready(function() { +$(document).ready(function () { // onchange callback - $('#documenter-themepicker').change(function themepick_callback(ev){ - var themename = $('#documenter-themepicker option:selected').attr('value'); - set_theme(themename); + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); }); // Make sure that the themepicker displays the correct theme when the theme is retrieved // from localStorage - if(typeof(window.localStorage) !== "undefined") { - var theme = window.localStorage.getItem("documenter-theme"); - if(theme !== null) { - $('#documenter-themepicker option').each(function(i,e) { - e.selected = (e.value === theme); - }) - } else { - $('#documenter-themepicker option').each(function(i,e) { - e.selected = $("html").hasClass(`theme--${e.value}`); - }) + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); } } -}) +}); }) //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { // update the version selector with info from the siteinfo.js and ../versions.js files -$(document).ready(function() { +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + var version_selector = $("#documenter .docs-version-selector"); var version_selector_select = $("#documenter .docs-version-selector select"); - version_selector_select.change(function(x) { - target_href = version_selector_select.children("option:selected").get(0).value; + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; window.location.href = target_href; }); // add the current version to the selector based on siteinfo.js, but only if the selector is empty - if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { - var option = $(""); + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); version_selector_select.append(option); } - if (typeof DOC_VERSIONS !== 'undefined') { + if (typeof DOC_VERSIONS !== "undefined") { var existing_versions = version_selector_select.children("option"); - var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); - DOC_VERSIONS.forEach(function(each) { - var version_url = documenterBaseURL + "/../" + each; + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; var existing_id = $.inArray(each, existing_versions_texts); // if not already in the version selector, add it as a new option, // otherwise update the old option with the URL and enable it if (existing_id == -1) { - var option = $(""); + var option = $( + "" + ); version_selector_select.append(option); } else { var option = existing_versions[existing_id]; @@ -259,6 +884,6 @@ $(document).ready(function() { if (version_selector_select.children("option").length > 0) { version_selector.toggleClass("visible"); } -}) +}); }) diff --git a/dev/assets/search.js b/dev/assets/search.js deleted file mode 100644 index 1a51454..0000000 --- a/dev/assets/search.js +++ /dev/null @@ -1,251 +0,0 @@ -// Generated by Documenter.jl -requirejs.config({ - paths: { - 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', - 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', - 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', - } -}); -//////////////////////////////////////////////////////////////////////////////// -require(['jquery', 'lunr', 'lodash'], function($, lunr, _) { - -$(document).ready(function() { - // parseUri 1.2.2 - // (c) Steven Levithan - // MIT License - function parseUri (str) { - var o = parseUri.options, - m = o.parser[o.strictMode ? "strict" : "loose"].exec(str), - uri = {}, - i = 14; - - while (i--) uri[o.key[i]] = m[i] || ""; - - uri[o.q.name] = {}; - uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { - if ($1) uri[o.q.name][$1] = $2; - }); - - return uri; - }; - parseUri.options = { - strictMode: false, - key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], - q: { - name: "queryKey", - parser: /(?:^|&)([^&=]*)=?([^&]*)/g - }, - parser: { - strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, - loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ - } - }; - - $("#search-form").submit(function(e) { - e.preventDefault() - }) - - // list below is the lunr 2.1.3 list minus the intersect with names(Base) - // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) - // ideally we'd just filter the original list but it's not available as a variable - lunr.stopWordFilter = lunr.generateStopWordFilter([ - 'a', - 'able', - 'about', - 'across', - 'after', - 'almost', - 'also', - 'am', - 'among', - 'an', - 'and', - 'are', - 'as', - 'at', - 'be', - 'because', - 'been', - 'but', - 'by', - 'can', - 'cannot', - 'could', - 'dear', - 'did', - 'does', - 'either', - 'ever', - 'every', - 'from', - 'got', - 'had', - 'has', - 'have', - 'he', - 'her', - 'hers', - 'him', - 'his', - 'how', - 'however', - 'i', - 'if', - 'into', - 'it', - 'its', - 'just', - 'least', - 'like', - 'likely', - 'may', - 'me', - 'might', - 'most', - 'must', - 'my', - 'neither', - 'no', - 'nor', - 'not', - 'of', - 'off', - 'often', - 'on', - 'or', - 'other', - 'our', - 'own', - 'rather', - 'said', - 'say', - 'says', - 'she', - 'should', - 'since', - 'so', - 'some', - 'than', - 'that', - 'the', - 'their', - 'them', - 'then', - 'there', - 'these', - 'they', - 'this', - 'tis', - 'to', - 'too', - 'twas', - 'us', - 'wants', - 'was', - 'we', - 'were', - 'what', - 'when', - 'who', - 'whom', - 'why', - 'will', - 'would', - 'yet', - 'you', - 'your' - ]) - - // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" - // would not find anything if searching for "add!", only for the entire qualification - lunr.tokenizer.separator = /[\s\-\.]+/ - - // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names - lunr.trimmer = function (token) { - return token.update(function (s) { - return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') - }) - } - - lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') - lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') - - var index = lunr(function () { - this.ref('location') - this.field('title',{boost: 100}) - this.field('text') - documenterSearchIndex['docs'].forEach(function(e) { - this.add(e) - }, this) - }) - var store = {} - - documenterSearchIndex['docs'].forEach(function(e) { - store[e.location] = {title: e.title, category: e.category, page: e.page} - }) - - $(function(){ - searchresults = $('#documenter-search-results'); - searchinfo = $('#documenter-search-info'); - searchbox = $('#documenter-search-query'); - function update_search(querystring) { - tokens = lunr.tokenizer(querystring) - results = index.query(function (q) { - tokens.forEach(function (t) { - q.term(t.toString(), { - fields: ["title"], - boost: 100, - usePipeline: true, - editDistance: 0, - wildcard: lunr.Query.wildcard.NONE - }) - q.term(t.toString(), { - fields: ["title"], - boost: 10, - usePipeline: true, - editDistance: 2, - wildcard: lunr.Query.wildcard.NONE - }) - q.term(t.toString(), { - fields: ["text"], - boost: 1, - usePipeline: true, - editDistance: 0, - wildcard: lunr.Query.wildcard.NONE - }) - }) - }) - searchinfo.text("Number of results: " + results.length) - searchresults.empty() - results.forEach(function(result) { - data = store[result.ref] - link = $(''+data.title+'') - link.attr('href', documenterBaseURL+'/'+result.ref) - if (data.category != "page"){ - cat = $('('+data.category+', '+data.page+')') - } else { - cat = $('('+data.category+')') - } - li = $('
                        • ').append(link).append(" ").append(cat) - searchresults.append(li) - }) - } - - function update_search_box() { - querystring = searchbox.val() - update_search(querystring) - } - - searchbox.keyup(_.debounce(update_search_box, 250)) - searchbox.change(update_search_box) - - search_query_uri = parseUri(window.location).queryKey["q"] - if(search_query_uri !== undefined) { - search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) - searchbox.val(search_query) - } - update_search_box(); - }) -}) - -}) diff --git a/dev/assets/themes/documenter-dark.css b/dev/assets/themes/documenter-dark.css index 65e34e4..9f5449f 100644 --- a/dev/assets/themes/documenter-dark.css +++ b/dev/assets/themes/documenter-dark.css @@ -1,7758 +1,7 @@ -@charset "UTF-8"; -/* Font Awesome 5 mixin. Can be included in any rule that should render Font Awesome icons. */ -@keyframes spinAround { - from { - transform: rotate(0deg); } - to { - transform: rotate(359deg); } } - -html.theme--documenter-dark .delete, html.theme--documenter-dark .modal-close, .is-unselectable, html.theme--documenter-dark .button, html.theme--documenter-dark .file, html.theme--documenter-dark .breadcrumb, html.theme--documenter-dark .pagination-previous, -html.theme--documenter-dark .pagination-next, -html.theme--documenter-dark .pagination-link, -html.theme--documenter-dark .pagination-ellipsis, html.theme--documenter-dark .tabs { - -webkit-touch-callout: none; - -webkit-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; } - -html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after, html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after { - border: 3px solid transparent; - border-radius: 2px; - border-right: 0; - border-top: 0; - content: " "; - display: block; - height: 0.625em; - margin-top: -0.4375em; - pointer-events: none; - position: absolute; - top: 50%; - transform: rotate(-45deg); - transform-origin: center; - width: 0.625em; } - -html.theme--documenter-dark .box:not(:last-child), html.theme--documenter-dark .content:not(:last-child), html.theme--documenter-dark .notification:not(:last-child), html.theme--documenter-dark .progress:not(:last-child), html.theme--documenter-dark .table:not(:last-child), html.theme--documenter-dark .table-container:not(:last-child), html.theme--documenter-dark .title:not(:last-child), -html.theme--documenter-dark .subtitle:not(:last-child), html.theme--documenter-dark .block:not(:last-child), html.theme--documenter-dark .highlight:not(:last-child), html.theme--documenter-dark .breadcrumb:not(:last-child), html.theme--documenter-dark .level:not(:last-child), html.theme--documenter-dark .list:not(:last-child), html.theme--documenter-dark .message:not(:last-child), html.theme--documenter-dark .tabs:not(:last-child), html.theme--documenter-dark .admonition:not(:last-child) { - margin-bottom: 1.5rem; } - -html.theme--documenter-dark .delete, html.theme--documenter-dark .modal-close { - -moz-appearance: none; - -webkit-appearance: none; - background-color: rgba(10, 10, 10, 0.2); - border: none; - border-radius: 290486px; - cursor: pointer; - pointer-events: auto; - display: inline-block; - flex-grow: 0; - flex-shrink: 0; - font-size: 0; - height: 20px; - max-height: 20px; - max-width: 20px; - min-height: 20px; - min-width: 20px; - outline: none; - position: relative; - vertical-align: top; - width: 20px; } - html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::before, html.theme--documenter-dark .delete::after, html.theme--documenter-dark .modal-close::after { - background-color: white; - content: ""; - display: block; - left: 50%; - position: absolute; - top: 50%; - transform: translateX(-50%) translateY(-50%) rotate(45deg); - transform-origin: center center; } - html.theme--documenter-dark .delete::before, html.theme--documenter-dark .modal-close::before { - height: 2px; - width: 50%; } - html.theme--documenter-dark .delete::after, html.theme--documenter-dark .modal-close::after { - height: 50%; - width: 2px; } - html.theme--documenter-dark .delete:hover, html.theme--documenter-dark .modal-close:hover, html.theme--documenter-dark .delete:focus, html.theme--documenter-dark .modal-close:focus { - background-color: rgba(10, 10, 10, 0.3); } - html.theme--documenter-dark .delete:active, html.theme--documenter-dark .modal-close:active { - background-color: rgba(10, 10, 10, 0.4); } - html.theme--documenter-dark .is-small.delete, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.delete, html.theme--documenter-dark .is-small.modal-close, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.modal-close { - height: 16px; - max-height: 16px; - max-width: 16px; - min-height: 16px; - min-width: 16px; - width: 16px; } - html.theme--documenter-dark .is-medium.delete, html.theme--documenter-dark .is-medium.modal-close { - height: 24px; - max-height: 24px; - max-width: 24px; - min-height: 24px; - min-width: 24px; - width: 24px; } - html.theme--documenter-dark .is-large.delete, html.theme--documenter-dark .is-large.modal-close { - height: 32px; - max-height: 32px; - max-width: 32px; - min-height: 32px; - min-width: 32px; - width: 32px; } - -html.theme--documenter-dark .button.is-loading::after, html.theme--documenter-dark .loader, html.theme--documenter-dark .select.is-loading::after, html.theme--documenter-dark .control.is-loading::after { - animation: spinAround 500ms infinite linear; - border: 2px solid #dbdee0; - border-radius: 290486px; - border-right-color: transparent; - border-top-color: transparent; - content: ""; - display: block; - height: 1em; - position: relative; - width: 1em; } - -.is-overlay, html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img, -html.theme--documenter-dark .image.is-square .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img, -html.theme--documenter-dark .image.is-1by1 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img, -html.theme--documenter-dark .image.is-5by4 .has-ratio, -html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img, 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html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - html.theme--documenter-dark .button.is-white.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined { - background-color: transparent; - border-color: white; - box-shadow: none; - color: white; } - html.theme--documenter-dark .button.is-white.is-inverted.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent white white !important; } - html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - box-shadow: none; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black { - background-color: #0a0a0a; - border-color: transparent; - color: white; } - html.theme--documenter-dark .button.is-black:hover, html.theme--documenter-dark .button.is-black.is-hovered { - background-color: #040404; - border-color: transparent; - color: white; } - html.theme--documenter-dark .button.is-black:focus, html.theme--documenter-dark .button.is-black.is-focused { - border-color: transparent; - color: white; } - html.theme--documenter-dark .button.is-black:focus:not(:active), html.theme--documenter-dark .button.is-black.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black.is-active { - background-color: black; - border-color: transparent; - color: white; } - html.theme--documenter-dark .button.is-black[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-black { - background-color: #0a0a0a; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-black.is-inverted { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-inverted:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-black.is-inverted[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted { - background-color: white; - border-color: transparent; - box-shadow: none; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-loading::after { - border-color: transparent transparent white white !important; } - html.theme--documenter-dark .button.is-black.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-outlined.is-focused { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent white white !important; } - html.theme--documenter-dark .button.is-black.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - box-shadow: none; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-inverted.is-outlined { - background-color: transparent; - border-color: white; - color: white; } - html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined { - background-color: transparent; - border-color: white; - box-shadow: none; - color: white; } - html.theme--documenter-dark .button.is-light { - background-color: #ecf0f1; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .button.is-light:hover, html.theme--documenter-dark .button.is-light.is-hovered { - background-color: #e5eaec; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .button.is-light:focus, html.theme--documenter-dark .button.is-light.is-focused { - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .button.is-light:focus:not(:active), html.theme--documenter-dark .button.is-light.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } - html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light.is-active { - background-color: #dde4e6; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .button.is-light[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-light { - background-color: #ecf0f1; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-light.is-inverted { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-inverted:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-hovered { - background-color: #1d2122; } - html.theme--documenter-dark .button.is-light.is-inverted[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted { - background-color: #282f2f; - border-color: transparent; - box-shadow: none; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-loading::after { - border-color: transparent transparent #282f2f #282f2f !important; } - html.theme--documenter-dark .button.is-light.is-outlined { - background-color: transparent; - border-color: #ecf0f1; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-outlined.is-focused { - background-color: #ecf0f1; - border-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after { - border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } - html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #282f2f #282f2f !important; } - html.theme--documenter-dark .button.is-light.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined { - background-color: transparent; - border-color: #ecf0f1; - box-shadow: none; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-inverted.is-outlined { - background-color: transparent; - border-color: #282f2f; - color: #282f2f; } - html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } - html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined { - background-color: transparent; - border-color: #282f2f; - box-shadow: none; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark, html.theme--documenter-dark .content kbd.button { - background-color: #282f2f; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover, html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered { - background-color: #232829; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused { - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark:focus:not(:active), html.theme--documenter-dark .content kbd.button:focus:not(:active), html.theme--documenter-dark .button.is-dark.is-focused:not(:active), html.theme--documenter-dark .content kbd.button.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } - html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active { - background-color: #1d2122; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark[disabled], html.theme--documenter-dark .content kbd.button[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-dark, - fieldset[disabled] html.theme--documenter-dark .content kbd.button { - background-color: #282f2f; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-dark.is-inverted, html.theme--documenter-dark .content kbd.button.is-inverted { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-inverted:hover, html.theme--documenter-dark .content kbd.button.is-inverted:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered { - background-color: #dde4e6; } - html.theme--documenter-dark .button.is-dark.is-inverted[disabled], html.theme--documenter-dark .content kbd.button.is-inverted[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted, - fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted { - background-color: #ecf0f1; - border-color: transparent; - box-shadow: none; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-loading::after, html.theme--documenter-dark .content kbd.button.is-loading::after { - border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } - html.theme--documenter-dark .button.is-dark.is-outlined, html.theme--documenter-dark .content kbd.button.is-outlined { - background-color: transparent; - border-color: #282f2f; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-outlined.is-focused { - background-color: #282f2f; - border-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after { - border-color: transparent transparent #282f2f #282f2f !important; } - html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #ecf0f1 #ecf0f1 !important; } - html.theme--documenter-dark .button.is-dark.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined, - fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined { - background-color: transparent; - border-color: #282f2f; - box-shadow: none; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined { - background-color: transparent; - border-color: #ecf0f1; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #282f2f #282f2f !important; } - html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled], html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined, - fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined { - background-color: transparent; - border-color: #ecf0f1; - box-shadow: none; - color: #ecf0f1; } - html.theme--documenter-dark .button.is-primary, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink { - background-color: #375a7f; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink { - background-color: #335476; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-primary:focus:not(:active), html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus:not(:active), html.theme--documenter-dark .button.is-primary.is-focused:not(:active), html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) { - box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } - html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink { - background-color: #2f4d6d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-primary[disabled], html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-primary, - fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink { - background-color: #375a7f; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-primary.is-inverted, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink { - background-color: #fff; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-inverted:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-primary.is-inverted[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted, - fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.docs-sourcelink { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-loading.docs-sourcelink::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-primary.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #375a7f; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink { - background-color: #375a7f; - border-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after { - border-color: transparent transparent #375a7f #375a7f !important; } - html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-primary.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined, - fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #375a7f; - box-shadow: none; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink { - background-color: #fff; - color: #375a7f; } - html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after { - border-color: transparent transparent #375a7f #375a7f !important; } - html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled], html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined, - fieldset[disabled] html.theme--documenter-dark .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-link { - background-color: #1abc9c; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-link:hover, html.theme--documenter-dark .button.is-link.is-hovered { - background-color: #18b193; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-link:focus, html.theme--documenter-dark .button.is-link.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-link:focus:not(:active), html.theme--documenter-dark .button.is-link.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } - html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link.is-active { - background-color: #17a689; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-link[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-link { - background-color: #1abc9c; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-link.is-inverted { - background-color: #fff; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-inverted:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-link.is-inverted[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-link.is-outlined { - background-color: transparent; - border-color: #1abc9c; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-outlined.is-focused { - background-color: #1abc9c; - border-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after { - border-color: transparent transparent #1abc9c #1abc9c !important; } - html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-link.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined { - background-color: transparent; - border-color: #1abc9c; - box-shadow: none; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #1abc9c; } - html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #1abc9c #1abc9c !important; } - html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-info { - background-color: #024c7d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-info:hover, html.theme--documenter-dark .button.is-info.is-hovered { - background-color: #024470; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-info:focus, html.theme--documenter-dark .button.is-info.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-info:focus:not(:active), html.theme--documenter-dark .button.is-info.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } - html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info.is-active { - background-color: #023d64; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-info[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-info { - background-color: #024c7d; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-info.is-inverted { - background-color: #fff; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-inverted:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-info.is-inverted[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-info.is-outlined { - background-color: transparent; - border-color: #024c7d; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-outlined.is-focused { - background-color: #024c7d; - border-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .button.is-info.is-outlined.is-loading::after { - border-color: transparent transparent #024c7d #024c7d !important; } - html.theme--documenter-dark .button.is-info.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-info.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-info.is-outlined { - background-color: transparent; - border-color: #024c7d; - box-shadow: none; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #024c7d; } - html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #024c7d #024c7d !important; } - html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-info.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-success { - background-color: #008438; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-success:hover, html.theme--documenter-dark .button.is-success.is-hovered { - background-color: #007733; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-success:focus, html.theme--documenter-dark .button.is-success.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-success:focus:not(:active), html.theme--documenter-dark .button.is-success.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } - html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success.is-active { - background-color: #006b2d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-success[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-success { - background-color: #008438; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-success.is-inverted { - background-color: #fff; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-inverted:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-success.is-inverted[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-success.is-outlined { - background-color: transparent; - border-color: #008438; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-outlined.is-focused { - background-color: #008438; - border-color: #008438; - color: #fff; } - html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after { - border-color: transparent transparent #008438 #008438 !important; } - html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-success.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined { - background-color: transparent; - border-color: #008438; - box-shadow: none; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #008438; } - html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #008438 #008438 !important; } - html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-warning { - background-color: #ad8100; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-warning:hover, html.theme--documenter-dark .button.is-warning.is-hovered { - background-color: #a07700; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-warning:focus, html.theme--documenter-dark .button.is-warning.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-warning:focus:not(:active), html.theme--documenter-dark .button.is-warning.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } - html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning.is-active { - background-color: #946e00; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-warning[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-warning { - background-color: #ad8100; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-warning.is-inverted { - background-color: #fff; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-inverted:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-warning.is-inverted[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-warning.is-outlined { - background-color: transparent; - border-color: #ad8100; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-outlined.is-focused { - background-color: #ad8100; - border-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .button.is-warning.is-outlined.is-loading::after { - border-color: transparent transparent #ad8100 #ad8100 !important; } - html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-warning.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined { - background-color: transparent; - border-color: #ad8100; - box-shadow: none; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #ad8100; } - html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #ad8100 #ad8100 !important; } - html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-danger { - background-color: #9e1b0d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-danger:hover, html.theme--documenter-dark .button.is-danger.is-hovered { - background-color: #92190c; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-danger:focus, html.theme--documenter-dark .button.is-danger.is-focused { - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-danger:focus:not(:active), html.theme--documenter-dark .button.is-danger.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } - html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger.is-active { - background-color: #86170b; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .button.is-danger[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-danger { - background-color: #9e1b0d; - border-color: transparent; - box-shadow: none; } - html.theme--documenter-dark .button.is-danger.is-inverted { - background-color: #fff; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-inverted:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered { - background-color: #f2f2f2; } - html.theme--documenter-dark .button.is-danger.is-inverted[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-danger.is-outlined { - background-color: transparent; - border-color: #9e1b0d; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-outlined.is-focused { - background-color: #9e1b0d; - border-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after { - border-color: transparent transparent #9e1b0d #9e1b0d !important; } - html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - html.theme--documenter-dark .button.is-danger.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined { - background-color: transparent; - border-color: #9e1b0d; - box-shadow: none; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #9e1b0d; } - html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #9e1b0d #9e1b0d !important; } - html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled], - fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - html.theme--documenter-dark .button.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button { - border-radius: 3px; - font-size: 0.85em; } - html.theme--documenter-dark .button.is-normal { - font-size: 15px; } - html.theme--documenter-dark .button.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .button.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .button[disabled], - fieldset[disabled] html.theme--documenter-dark .button { - background-color: #8c9b9d; - border-color: #dbdee0; - box-shadow: none; - opacity: 0.5; } - html.theme--documenter-dark .button.is-fullwidth { - display: flex; - width: 100%; } - html.theme--documenter-dark .button.is-loading { - color: transparent !important; - pointer-events: none; } - html.theme--documenter-dark .button.is-loading::after { - position: absolute; - left: calc(50% - (1em / 2)); - top: calc(50% - (1em / 2)); - position: absolute !important; } - html.theme--documenter-dark .button.is-static { - background-color: #282f2f; - border-color: #5e6d6f; - color: #dbdee0; - box-shadow: none; - pointer-events: none; } - html.theme--documenter-dark .button.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.button { - border-radius: 290486px; - padding-left: 1em; - padding-right: 1em; } - html.theme--documenter-dark .buttons { - align-items: center; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - html.theme--documenter-dark .buttons .button { - margin-bottom: 0.5rem; } - html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth) { - margin-right: 0.5rem; } - html.theme--documenter-dark .buttons:last-child { - margin-bottom: -0.5rem; } - html.theme--documenter-dark .buttons:not(:last-child) { - margin-bottom: 1rem; } - html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) { - border-radius: 3px; - font-size: 0.85em; } - html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) { - font-size: 1.25rem; } - html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) { - font-size: 1.5rem; } - html.theme--documenter-dark .buttons.has-addons .button:not(:first-child) { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - html.theme--documenter-dark .buttons.has-addons .button:not(:last-child) { - border-bottom-right-radius: 0; - border-top-right-radius: 0; - margin-right: -1px; } - html.theme--documenter-dark .buttons.has-addons .button:last-child { - margin-right: 0; } - html.theme--documenter-dark .buttons.has-addons .button:hover, html.theme--documenter-dark .buttons.has-addons .button.is-hovered { - z-index: 2; } - html.theme--documenter-dark .buttons.has-addons .button:focus, html.theme--documenter-dark .buttons.has-addons .button.is-focused, html.theme--documenter-dark .buttons.has-addons .button:active, html.theme--documenter-dark .buttons.has-addons .button.is-active, html.theme--documenter-dark .buttons.has-addons .button.is-selected { - z-index: 3; } - html.theme--documenter-dark .buttons.has-addons .button:focus:hover, html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover, html.theme--documenter-dark .buttons.has-addons .button:active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-active:hover, html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover { - z-index: 4; } - html.theme--documenter-dark .buttons.has-addons .button.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .buttons.is-centered { - justify-content: center; } - html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) { - margin-left: 0.25rem; - margin-right: 0.25rem; } - html.theme--documenter-dark .buttons.is-right { - justify-content: flex-end; } - html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) { - margin-left: 0.25rem; - margin-right: 0.25rem; } - html.theme--documenter-dark .container { - flex-grow: 1; - margin: 0 auto; - position: relative; - width: auto; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .container { - max-width: 992px; } - html.theme--documenter-dark .container.is-fluid { - margin-left: 32px; - margin-right: 32px; - max-width: none; } } - @media screen and (max-width: 1215px) { - html.theme--documenter-dark .container.is-widescreen { - max-width: 1152px; } } - @media screen and (max-width: 1407px) { - html.theme--documenter-dark .container.is-fullhd { - max-width: 1344px; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .container { - max-width: 1152px; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .container { - max-width: 1344px; } } - html.theme--documenter-dark .content li + li { - margin-top: 0.25em; } - html.theme--documenter-dark .content p:not(:last-child), - html.theme--documenter-dark .content dl:not(:last-child), - html.theme--documenter-dark .content ol:not(:last-child), - html.theme--documenter-dark .content ul:not(:last-child), - html.theme--documenter-dark .content blockquote:not(:last-child), - html.theme--documenter-dark .content pre:not(:last-child), - html.theme--documenter-dark .content table:not(:last-child) { - margin-bottom: 1em; } - html.theme--documenter-dark .content h1, - html.theme--documenter-dark .content h2, - html.theme--documenter-dark .content h3, - html.theme--documenter-dark .content h4, - html.theme--documenter-dark .content h5, - html.theme--documenter-dark .content h6 { - color: #f2f2f2; - font-weight: 600; - line-height: 1.125; } - html.theme--documenter-dark .content h1 { - font-size: 2em; - margin-bottom: 0.5em; } - html.theme--documenter-dark .content h1:not(:first-child) { - margin-top: 1em; } - html.theme--documenter-dark .content h2 { - font-size: 1.75em; - margin-bottom: 0.5714em; } - html.theme--documenter-dark .content h2:not(:first-child) { - margin-top: 1.1428em; } - html.theme--documenter-dark .content h3 { - font-size: 1.5em; - margin-bottom: 0.6666em; } - html.theme--documenter-dark .content h3:not(:first-child) { - margin-top: 1.3333em; } - html.theme--documenter-dark .content h4 { - font-size: 1.25em; - margin-bottom: 0.8em; } - html.theme--documenter-dark .content h5 { - font-size: 1.125em; - margin-bottom: 0.8888em; } - html.theme--documenter-dark .content h6 { - font-size: 1em; - margin-bottom: 1em; } - html.theme--documenter-dark .content blockquote { - background-color: #282f2f; - border-left: 5px solid #5e6d6f; - padding: 1.25em 1.5em; } - html.theme--documenter-dark .content ol { - list-style-position: outside; - margin-left: 2em; - margin-top: 1em; } - html.theme--documenter-dark .content ol:not([type]) { - list-style-type: decimal; } - html.theme--documenter-dark .content ol:not([type]).is-lower-alpha { - list-style-type: lower-alpha; } - html.theme--documenter-dark .content ol:not([type]).is-lower-roman { - list-style-type: lower-roman; } - html.theme--documenter-dark .content ol:not([type]).is-upper-alpha { - list-style-type: upper-alpha; } - html.theme--documenter-dark .content ol:not([type]).is-upper-roman { - list-style-type: upper-roman; } - html.theme--documenter-dark .content ul { - list-style: disc outside; - margin-left: 2em; - margin-top: 1em; } - html.theme--documenter-dark .content ul ul { - list-style-type: circle; - margin-top: 0.5em; } - html.theme--documenter-dark .content ul ul ul { - list-style-type: square; } - html.theme--documenter-dark .content dd { - margin-left: 2em; } - html.theme--documenter-dark .content figure { - margin-left: 2em; - margin-right: 2em; - text-align: center; } - html.theme--documenter-dark .content figure:not(:first-child) { - margin-top: 2em; } - html.theme--documenter-dark .content figure:not(:last-child) { - margin-bottom: 2em; } - html.theme--documenter-dark .content figure img { - display: inline-block; } - html.theme--documenter-dark .content figure figcaption { - font-style: italic; } - html.theme--documenter-dark .content pre { - -webkit-overflow-scrolling: touch; - overflow-x: auto; - padding: 0.7rem 0.5rem; - white-space: pre; - word-wrap: normal; } - html.theme--documenter-dark .content sup, - html.theme--documenter-dark .content sub { - font-size: 75%; } - html.theme--documenter-dark .content table { - width: 100%; } - html.theme--documenter-dark .content table td, - html.theme--documenter-dark .content table th { - border: 1px solid #5e6d6f; - border-width: 0 0 1px; - padding: 0.5em 0.75em; - vertical-align: top; } - html.theme--documenter-dark .content table th { - color: #f2f2f2; } - html.theme--documenter-dark .content table th:not([align]) { - text-align: left; } - html.theme--documenter-dark .content table thead td, - html.theme--documenter-dark .content table thead th { - border-width: 0 0 2px; - color: #f2f2f2; } - html.theme--documenter-dark .content table tfoot td, - html.theme--documenter-dark .content table tfoot th { - border-width: 2px 0 0; - color: #f2f2f2; } - html.theme--documenter-dark .content table tbody tr:last-child td, - html.theme--documenter-dark .content table tbody tr:last-child th { - border-bottom-width: 0; } - html.theme--documenter-dark .content .tabs li + li { - margin-top: 0; } - html.theme--documenter-dark .content.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.content { - font-size: 0.85em; } - html.theme--documenter-dark .content.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .content.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .icon { - align-items: center; - display: inline-flex; - justify-content: center; - height: 1.5rem; - width: 1.5rem; } - html.theme--documenter-dark .icon.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.icon { - height: 1rem; - width: 1rem; } - html.theme--documenter-dark .icon.is-medium { - height: 2rem; - width: 2rem; } - html.theme--documenter-dark .icon.is-large { - height: 3rem; - width: 3rem; } - html.theme--documenter-dark .image, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img { - display: block; - position: relative; } - html.theme--documenter-dark .image img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img { - display: block; - height: auto; - width: 100%; } - html.theme--documenter-dark .image img.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img img.is-rounded { - border-radius: 290486px; } - html.theme--documenter-dark .image.is-square img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square img, - html.theme--documenter-dark .image.is-square .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, html.theme--documenter-dark .image.is-1by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 img, - html.theme--documenter-dark .image.is-1by1 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, html.theme--documenter-dark .image.is-5by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 img, - html.theme--documenter-dark .image.is-5by4 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, html.theme--documenter-dark .image.is-4by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 img, - html.theme--documenter-dark .image.is-4by3 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, html.theme--documenter-dark .image.is-3by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 img, - html.theme--documenter-dark .image.is-3by2 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, html.theme--documenter-dark .image.is-5by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 img, - html.theme--documenter-dark .image.is-5by3 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, html.theme--documenter-dark .image.is-16by9 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 img, - html.theme--documenter-dark .image.is-16by9 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, html.theme--documenter-dark .image.is-2by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 img, - html.theme--documenter-dark .image.is-2by1 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, html.theme--documenter-dark .image.is-3by1 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 img, - html.theme--documenter-dark .image.is-3by1 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, html.theme--documenter-dark .image.is-4by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 img, - html.theme--documenter-dark .image.is-4by5 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, html.theme--documenter-dark .image.is-3by4 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 img, - html.theme--documenter-dark .image.is-3by4 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, html.theme--documenter-dark .image.is-2by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 img, - html.theme--documenter-dark .image.is-2by3 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, html.theme--documenter-dark .image.is-3by5 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 img, - html.theme--documenter-dark .image.is-3by5 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, html.theme--documenter-dark .image.is-9by16 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 img, - html.theme--documenter-dark .image.is-9by16 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, html.theme--documenter-dark .image.is-1by2 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 img, - html.theme--documenter-dark .image.is-1by2 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, html.theme--documenter-dark .image.is-1by3 img, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 img, - html.theme--documenter-dark .image.is-1by3 .has-ratio, - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio { - height: 100%; - width: 100%; } - html.theme--documenter-dark .image.is-square, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-square, html.theme--documenter-dark .image.is-1by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by1 { - padding-top: 100%; } - html.theme--documenter-dark .image.is-5by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by4 { - padding-top: 80%; } - html.theme--documenter-dark .image.is-4by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by3 { - padding-top: 75%; } - html.theme--documenter-dark .image.is-3by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by2 { - padding-top: 66.6666%; } - html.theme--documenter-dark .image.is-5by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-5by3 { - padding-top: 60%; } - html.theme--documenter-dark .image.is-16by9, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16by9 { - padding-top: 56.25%; } - html.theme--documenter-dark .image.is-2by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by1 { - padding-top: 50%; } - html.theme--documenter-dark .image.is-3by1, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by1 { - padding-top: 33.3333%; } - html.theme--documenter-dark .image.is-4by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-4by5 { - padding-top: 125%; } - html.theme--documenter-dark .image.is-3by4, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by4 { - padding-top: 133.3333%; } - html.theme--documenter-dark .image.is-2by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-2by3 { - padding-top: 150%; } - html.theme--documenter-dark .image.is-3by5, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-3by5 { - padding-top: 166.6666%; } - html.theme--documenter-dark .image.is-9by16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-9by16 { - padding-top: 177.7777%; } - html.theme--documenter-dark .image.is-1by2, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by2 { - padding-top: 200%; } - html.theme--documenter-dark .image.is-1by3, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-1by3 { - padding-top: 300%; } - html.theme--documenter-dark .image.is-16x16, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-16x16 { - height: 16px; - width: 16px; } - html.theme--documenter-dark .image.is-24x24, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-24x24 { - height: 24px; - width: 24px; } - html.theme--documenter-dark .image.is-32x32, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-32x32 { - height: 32px; - width: 32px; } - html.theme--documenter-dark .image.is-48x48, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-48x48 { - height: 48px; - width: 48px; } - html.theme--documenter-dark .image.is-64x64, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-64x64 { - height: 64px; - width: 64px; } - html.theme--documenter-dark .image.is-96x96, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-96x96 { - height: 96px; - width: 96px; } - html.theme--documenter-dark .image.is-128x128, html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img.is-128x128 { - height: 128px; - width: 128px; } - html.theme--documenter-dark .notification { - background-color: #282f2f; - border-radius: 0.4em; - padding: 1.25rem 2.5rem 1.25rem 1.5rem; - position: relative; } - html.theme--documenter-dark .notification a:not(.button):not(.dropdown-item) { - color: currentColor; - text-decoration: underline; } - html.theme--documenter-dark .notification strong { - color: currentColor; } - html.theme--documenter-dark .notification code, - html.theme--documenter-dark .notification pre { - background: white; } - html.theme--documenter-dark .notification pre code { - background: transparent; } - html.theme--documenter-dark .notification > .delete { - position: absolute; - right: 0.5rem; - top: 0.5rem; } - html.theme--documenter-dark .notification .title, - html.theme--documenter-dark .notification .subtitle, - html.theme--documenter-dark .notification .content { - color: currentColor; } - html.theme--documenter-dark .notification.is-white { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .notification.is-black { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .notification.is-light { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .notification.is-dark, html.theme--documenter-dark .content kbd.notification { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .notification.is-primary, html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .notification.is-link { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .notification.is-info { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .notification.is-success { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .notification.is-warning { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .notification.is-danger { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .progress { - -moz-appearance: none; - -webkit-appearance: none; - border: none; - border-radius: 290486px; - display: block; - height: 15px; - overflow: hidden; - padding: 0; - width: 100%; } - html.theme--documenter-dark .progress::-webkit-progress-bar { - background-color: #5e6d6f; } - html.theme--documenter-dark .progress::-webkit-progress-value { - background-color: #dbdee0; } - html.theme--documenter-dark .progress::-moz-progress-bar { - background-color: #dbdee0; } - html.theme--documenter-dark .progress::-ms-fill { - background-color: #dbdee0; - border: none; } - html.theme--documenter-dark .progress.is-white::-webkit-progress-value { - background-color: white; } - html.theme--documenter-dark .progress.is-white::-moz-progress-bar { - background-color: white; } - html.theme--documenter-dark .progress.is-white::-ms-fill { - background-color: white; } - html.theme--documenter-dark .progress.is-white:indeterminate { - background-image: linear-gradient(to right, white 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-black::-webkit-progress-value { - background-color: #0a0a0a; } - html.theme--documenter-dark .progress.is-black::-moz-progress-bar { - background-color: #0a0a0a; } - html.theme--documenter-dark .progress.is-black::-ms-fill { - background-color: #0a0a0a; } - html.theme--documenter-dark .progress.is-black:indeterminate { - background-image: linear-gradient(to right, #0a0a0a 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-light::-webkit-progress-value { - background-color: #ecf0f1; } - html.theme--documenter-dark .progress.is-light::-moz-progress-bar { - background-color: #ecf0f1; } - html.theme--documenter-dark .progress.is-light::-ms-fill { - background-color: #ecf0f1; } - html.theme--documenter-dark .progress.is-light:indeterminate { - background-image: linear-gradient(to right, #ecf0f1 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-dark::-webkit-progress-value, html.theme--documenter-dark .content kbd.progress::-webkit-progress-value { - background-color: #282f2f; } - html.theme--documenter-dark .progress.is-dark::-moz-progress-bar, html.theme--documenter-dark .content kbd.progress::-moz-progress-bar { - background-color: #282f2f; } - html.theme--documenter-dark .progress.is-dark::-ms-fill, html.theme--documenter-dark .content kbd.progress::-ms-fill { - background-color: #282f2f; } - html.theme--documenter-dark .progress.is-dark:indeterminate, html.theme--documenter-dark .content kbd.progress:indeterminate { - background-image: linear-gradient(to right, #282f2f 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-primary::-webkit-progress-value, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value { - background-color: #375a7f; } - html.theme--documenter-dark .progress.is-primary::-moz-progress-bar, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar { - background-color: #375a7f; } - html.theme--documenter-dark .progress.is-primary::-ms-fill, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink::-ms-fill { - background-color: #375a7f; } - html.theme--documenter-dark .progress.is-primary:indeterminate, html.theme--documenter-dark .docstring > section > a.progress.docs-sourcelink:indeterminate { - background-image: linear-gradient(to right, #375a7f 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-link::-webkit-progress-value { - background-color: #1abc9c; } - html.theme--documenter-dark .progress.is-link::-moz-progress-bar { - background-color: #1abc9c; } - html.theme--documenter-dark .progress.is-link::-ms-fill { - background-color: #1abc9c; } - html.theme--documenter-dark .progress.is-link:indeterminate { - background-image: linear-gradient(to right, #1abc9c 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-info::-webkit-progress-value { - background-color: #024c7d; } - html.theme--documenter-dark .progress.is-info::-moz-progress-bar { - background-color: #024c7d; } - html.theme--documenter-dark .progress.is-info::-ms-fill { - background-color: #024c7d; } - html.theme--documenter-dark .progress.is-info:indeterminate { - background-image: linear-gradient(to right, #024c7d 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-success::-webkit-progress-value { - background-color: #008438; } - html.theme--documenter-dark .progress.is-success::-moz-progress-bar { - background-color: #008438; } - html.theme--documenter-dark .progress.is-success::-ms-fill { - background-color: #008438; } - html.theme--documenter-dark .progress.is-success:indeterminate { - background-image: linear-gradient(to right, #008438 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-warning::-webkit-progress-value { - background-color: #ad8100; } - html.theme--documenter-dark .progress.is-warning::-moz-progress-bar { - background-color: #ad8100; } - html.theme--documenter-dark .progress.is-warning::-ms-fill { - background-color: #ad8100; } - html.theme--documenter-dark .progress.is-warning:indeterminate { - background-image: linear-gradient(to right, #ad8100 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress.is-danger::-webkit-progress-value { - background-color: #9e1b0d; } - html.theme--documenter-dark .progress.is-danger::-moz-progress-bar { - background-color: #9e1b0d; } - html.theme--documenter-dark .progress.is-danger::-ms-fill { - background-color: #9e1b0d; } - html.theme--documenter-dark .progress.is-danger:indeterminate { - background-image: linear-gradient(to right, #9e1b0d 30%, #5e6d6f 30%); } - html.theme--documenter-dark .progress:indeterminate { - animation-duration: 1.5s; - animation-iteration-count: infinite; - animation-name: moveIndeterminate; - animation-timing-function: linear; - background-color: #5e6d6f; - background-image: linear-gradient(to right, #fff 30%, #5e6d6f 30%); - background-position: top left; - background-repeat: no-repeat; - background-size: 150% 150%; } - html.theme--documenter-dark .progress:indeterminate::-webkit-progress-bar { - background-color: transparent; } - html.theme--documenter-dark .progress:indeterminate::-moz-progress-bar { - background-color: transparent; } - html.theme--documenter-dark .progress.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.progress { - height: 0.85em; } - html.theme--documenter-dark .progress.is-medium { - height: 1.25rem; } - html.theme--documenter-dark .progress.is-large { - height: 1.5rem; } - -@keyframes moveIndeterminate { - from { - background-position: 200% 0; } - to { - background-position: -200% 0; } } - html.theme--documenter-dark .table { - background-color: #343c3d; - color: #fff; } - html.theme--documenter-dark .table td, - html.theme--documenter-dark .table th { - border: 1px solid #5e6d6f; - border-width: 0 0 1px; - padding: 0.5em 0.75em; - vertical-align: top; } - html.theme--documenter-dark .table td.is-white, - html.theme--documenter-dark .table th.is-white { - background-color: white; - border-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .table td.is-black, - html.theme--documenter-dark .table th.is-black { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .table td.is-light, - html.theme--documenter-dark .table th.is-light { - background-color: #ecf0f1; - border-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .table td.is-dark, - html.theme--documenter-dark .table th.is-dark { - background-color: #282f2f; - border-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .table td.is-primary, - html.theme--documenter-dark .table th.is-primary { - background-color: #375a7f; - border-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .table td.is-link, - html.theme--documenter-dark .table th.is-link { - background-color: #1abc9c; - border-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .table td.is-info, - html.theme--documenter-dark .table th.is-info { - background-color: #024c7d; - border-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .table td.is-success, - html.theme--documenter-dark .table th.is-success { - background-color: #008438; - border-color: #008438; - color: #fff; } - html.theme--documenter-dark .table td.is-warning, - html.theme--documenter-dark .table th.is-warning { - background-color: #ad8100; - border-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .table td.is-danger, - html.theme--documenter-dark .table th.is-danger { - background-color: #9e1b0d; - border-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .table td.is-narrow, - html.theme--documenter-dark .table th.is-narrow { - white-space: nowrap; - width: 1%; } - html.theme--documenter-dark .table td.is-selected, - html.theme--documenter-dark .table th.is-selected { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .table td.is-selected a, - html.theme--documenter-dark .table td.is-selected strong, - html.theme--documenter-dark .table th.is-selected a, - html.theme--documenter-dark .table th.is-selected strong { - color: currentColor; } - html.theme--documenter-dark .table th { - color: #f2f2f2; } - html.theme--documenter-dark .table th:not([align]) { - text-align: left; } - html.theme--documenter-dark .table tr.is-selected { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .table tr.is-selected a, - html.theme--documenter-dark .table tr.is-selected strong { - color: currentColor; } - html.theme--documenter-dark .table tr.is-selected td, - html.theme--documenter-dark .table tr.is-selected th { - border-color: #fff; - color: currentColor; } - html.theme--documenter-dark .table thead { - background-color: transparent; } - html.theme--documenter-dark .table thead td, - html.theme--documenter-dark .table thead th { - border-width: 0 0 2px; - color: #f2f2f2; } - html.theme--documenter-dark .table tfoot { - background-color: transparent; } - html.theme--documenter-dark .table tfoot td, - html.theme--documenter-dark .table tfoot th { - border-width: 2px 0 0; - color: #f2f2f2; } - html.theme--documenter-dark .table tbody { - background-color: transparent; } - html.theme--documenter-dark .table tbody tr:last-child td, - html.theme--documenter-dark .table tbody tr:last-child th { - border-bottom-width: 0; } - html.theme--documenter-dark .table.is-bordered td, - html.theme--documenter-dark .table.is-bordered th { - border-width: 1px; } - html.theme--documenter-dark .table.is-bordered tr:last-child td, - html.theme--documenter-dark .table.is-bordered tr:last-child th { - border-bottom-width: 1px; } - html.theme--documenter-dark .table.is-fullwidth { - width: 100%; } - html.theme--documenter-dark .table.is-hoverable tbody tr:not(.is-selected):hover { - background-color: #282f2f; } - html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover { - background-color: #282f2f; } - html.theme--documenter-dark .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) { - background-color: #2d3435; } - html.theme--documenter-dark .table.is-narrow td, - html.theme--documenter-dark .table.is-narrow th { - padding: 0.25em 0.5em; } - html.theme--documenter-dark .table.is-striped tbody tr:not(.is-selected):nth-child(even) { - background-color: #282f2f; } - html.theme--documenter-dark .table-container { - -webkit-overflow-scrolling: touch; - overflow: auto; - overflow-y: hidden; - max-width: 100%; } - html.theme--documenter-dark .tags { - align-items: center; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - html.theme--documenter-dark .tags .tag, html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags .content kbd, html.theme--documenter-dark .content .tags kbd { - margin-bottom: 0.5rem; } - html.theme--documenter-dark .tags .tag:not(:last-child), html.theme--documenter-dark .tags .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags .content kbd:not(:last-child), html.theme--documenter-dark .content .tags kbd:not(:last-child) { - margin-right: 0.5rem; } - html.theme--documenter-dark .tags:last-child { - margin-bottom: -0.5rem; } - html.theme--documenter-dark .tags:not(:last-child) { - margin-bottom: 1rem; } - html.theme--documenter-dark .tags.are-medium .tag:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large), html.theme--documenter-dark .tags.are-medium .content kbd:not(.is-normal):not(.is-large), html.theme--documenter-dark .content .tags.are-medium kbd:not(.is-normal):not(.is-large) { - font-size: 15px; } - html.theme--documenter-dark .tags.are-large .tag:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium), html.theme--documenter-dark .tags.are-large .content kbd:not(.is-normal):not(.is-medium), html.theme--documenter-dark .content .tags.are-large kbd:not(.is-normal):not(.is-medium) { - font-size: 1.25rem; } - html.theme--documenter-dark .tags.is-centered { - justify-content: center; } - html.theme--documenter-dark .tags.is-centered .tag, html.theme--documenter-dark .tags.is-centered .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags.is-centered .content kbd, html.theme--documenter-dark .content .tags.is-centered kbd { - margin-right: 0.25rem; - margin-left: 0.25rem; } - html.theme--documenter-dark .tags.is-right { - justify-content: flex-end; } - html.theme--documenter-dark .tags.is-right .tag:not(:first-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:first-child) { - margin-left: 0.5rem; } - html.theme--documenter-dark .tags.is-right .tag:not(:last-child), html.theme--documenter-dark .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags.is-right .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.is-right kbd:not(:last-child) { - margin-right: 0; } - html.theme--documenter-dark .tags.has-addons .tag, html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .tags.has-addons .content kbd, html.theme--documenter-dark .content .tags.has-addons kbd { - margin-right: 0; } - html.theme--documenter-dark .tags.has-addons .tag:not(:first-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:first-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:first-child) { - margin-left: 0; - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - html.theme--documenter-dark .tags.has-addons .tag:not(:last-child), html.theme--documenter-dark .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child), html.theme--documenter-dark .tags.has-addons .content kbd:not(:last-child), html.theme--documenter-dark .content .tags.has-addons kbd:not(:last-child) { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - html.theme--documenter-dark .tag:not(body), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body), html.theme--documenter-dark .content kbd:not(body) { - align-items: center; - background-color: #282f2f; - border-radius: 0.4em; - color: #fff; - display: inline-flex; - font-size: 0.85em; - height: 2em; - justify-content: center; - line-height: 1.5; - padding-left: 0.75em; - padding-right: 0.75em; - white-space: nowrap; } - html.theme--documenter-dark .tag:not(body) .delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .delete, html.theme--documenter-dark .content kbd:not(body) .delete { - margin-left: 0.25rem; - margin-right: -0.375rem; } - html.theme--documenter-dark .tag:not(body).is-white, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-white, html.theme--documenter-dark .content kbd:not(body).is-white { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .tag:not(body).is-black, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-black, html.theme--documenter-dark .content kbd:not(body).is-black { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .tag:not(body).is-light, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-light, html.theme--documenter-dark .content kbd:not(body).is-light { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .tag:not(body).is-dark, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-dark, html.theme--documenter-dark .content kbd:not(body) { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .tag:not(body).is-primary, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body), html.theme--documenter-dark .content kbd:not(body).is-primary { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .tag:not(body).is-link, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-link, html.theme--documenter-dark .content kbd:not(body).is-link { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .tag:not(body).is-info, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-info, html.theme--documenter-dark .content kbd:not(body).is-info { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .tag:not(body).is-success, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-success, html.theme--documenter-dark .content kbd:not(body).is-success { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .tag:not(body).is-warning, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-warning, html.theme--documenter-dark .content kbd:not(body).is-warning { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .tag:not(body).is-danger, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-danger, html.theme--documenter-dark .content kbd:not(body).is-danger { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .tag:not(body).is-normal, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-normal, html.theme--documenter-dark .content kbd:not(body).is-normal { - font-size: 0.85em; } - html.theme--documenter-dark .tag:not(body).is-medium, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-medium, html.theme--documenter-dark .content kbd:not(body).is-medium { - font-size: 15px; } - html.theme--documenter-dark .tag:not(body).is-large, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-large, html.theme--documenter-dark .content kbd:not(body).is-large { - font-size: 1.25rem; } - html.theme--documenter-dark .tag:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child), html.theme--documenter-dark .content kbd:not(body) .icon:first-child:not(:last-child) { - margin-left: -0.375em; - margin-right: 0.1875em; } - html.theme--documenter-dark .tag:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child), html.theme--documenter-dark .content kbd:not(body) .icon:last-child:not(:first-child) { - margin-left: 0.1875em; - margin-right: -0.375em; } - html.theme--documenter-dark .tag:not(body) .icon:first-child:last-child, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child, html.theme--documenter-dark .content kbd:not(body) .icon:first-child:last-child { - margin-left: -0.375em; - margin-right: -0.375em; } - html.theme--documenter-dark .tag:not(body).is-delete, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete, html.theme--documenter-dark .content kbd:not(body).is-delete { - margin-left: 1px; - padding: 0; - position: relative; - width: 2em; } - html.theme--documenter-dark .tag:not(body).is-delete::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::before, html.theme--documenter-dark .content kbd:not(body).is-delete::before, html.theme--documenter-dark .tag:not(body).is-delete::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::after, html.theme--documenter-dark .content kbd:not(body).is-delete::after { - background-color: currentColor; - content: ""; - display: block; - left: 50%; - position: absolute; - top: 50%; - transform: translateX(-50%) translateY(-50%) rotate(45deg); - transform-origin: center center; } - html.theme--documenter-dark .tag:not(body).is-delete::before, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::before, html.theme--documenter-dark .content kbd:not(body).is-delete::before { - height: 1px; - width: 50%; } - html.theme--documenter-dark .tag:not(body).is-delete::after, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete::after, html.theme--documenter-dark .content kbd:not(body).is-delete::after { - height: 50%; - width: 1px; } - html.theme--documenter-dark .tag:not(body).is-delete:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:hover, html.theme--documenter-dark .content kbd:not(body).is-delete:hover, html.theme--documenter-dark .tag:not(body).is-delete:focus, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:focus, html.theme--documenter-dark .content kbd:not(body).is-delete:focus { - background-color: #1d2122; } - html.theme--documenter-dark .tag:not(body).is-delete:active, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-delete:active, html.theme--documenter-dark .content kbd:not(body).is-delete:active { - background-color: #111414; } - html.theme--documenter-dark .tag:not(body).is-rounded, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:not(body).is-rounded, html.theme--documenter-dark .content kbd:not(body).is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tag:not(body) { - border-radius: 290486px; } - html.theme--documenter-dark a.tag:hover, html.theme--documenter-dark .docstring > section > a.docs-sourcelink:hover { - text-decoration: underline; } - html.theme--documenter-dark .title, - html.theme--documenter-dark .subtitle { - word-break: break-word; } - html.theme--documenter-dark .title em, - html.theme--documenter-dark .title span, - html.theme--documenter-dark .subtitle em, - html.theme--documenter-dark .subtitle span { - font-weight: inherit; } - html.theme--documenter-dark .title sub, - html.theme--documenter-dark .subtitle sub { - font-size: 0.75em; } - html.theme--documenter-dark .title sup, - html.theme--documenter-dark .subtitle sup { - font-size: 0.75em; } - html.theme--documenter-dark .title .tag, html.theme--documenter-dark .title .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .title .content kbd, html.theme--documenter-dark .content .title kbd, - html.theme--documenter-dark .subtitle .tag, - html.theme--documenter-dark .subtitle .docstring > section > a.docs-sourcelink, - html.theme--documenter-dark .subtitle .content kbd, - html.theme--documenter-dark .content .subtitle kbd { - vertical-align: middle; } - html.theme--documenter-dark .title { - color: #fff; - font-size: 2rem; - font-weight: 500; - line-height: 1.125; } - html.theme--documenter-dark .title strong { - color: inherit; - font-weight: inherit; } - html.theme--documenter-dark .title + .highlight { - margin-top: -0.75rem; } - html.theme--documenter-dark .title:not(.is-spaced) + .subtitle { - margin-top: -1.25rem; } - html.theme--documenter-dark .title.is-1 { - font-size: 3rem; } - html.theme--documenter-dark .title.is-2 { - font-size: 2.5rem; } - html.theme--documenter-dark .title.is-3 { - font-size: 2rem; } - html.theme--documenter-dark .title.is-4 { - font-size: 1.5rem; } - html.theme--documenter-dark .title.is-5 { - font-size: 1.25rem; } - html.theme--documenter-dark .title.is-6 { - font-size: 15px; } - html.theme--documenter-dark .title.is-7 { - font-size: 0.85em; } - html.theme--documenter-dark .subtitle { - color: #8c9b9d; - font-size: 1.25rem; - font-weight: 400; - line-height: 1.25; } - html.theme--documenter-dark .subtitle strong { - color: #8c9b9d; - font-weight: 600; } - html.theme--documenter-dark .subtitle:not(.is-spaced) + .title { - margin-top: -1.25rem; } - html.theme--documenter-dark .subtitle.is-1 { - font-size: 3rem; } - html.theme--documenter-dark .subtitle.is-2 { - font-size: 2.5rem; } - html.theme--documenter-dark .subtitle.is-3 { - font-size: 2rem; } - html.theme--documenter-dark .subtitle.is-4 { - font-size: 1.5rem; } - html.theme--documenter-dark .subtitle.is-5 { - font-size: 1.25rem; } - html.theme--documenter-dark .subtitle.is-6 { - font-size: 15px; } - html.theme--documenter-dark .subtitle.is-7 { - font-size: 0.85em; } - html.theme--documenter-dark .heading { - display: block; - font-size: 11px; - letter-spacing: 1px; - margin-bottom: 5px; - text-transform: uppercase; } - html.theme--documenter-dark .highlight { - font-weight: 400; - max-width: 100%; - overflow: hidden; - padding: 0; } - html.theme--documenter-dark .highlight pre { - overflow: auto; - max-width: 100%; } - html.theme--documenter-dark .number { - align-items: center; - background-color: #282f2f; - border-radius: 290486px; - display: inline-flex; - font-size: 1.25rem; - height: 2em; - justify-content: center; - margin-right: 1.5rem; - min-width: 2.5em; - padding: 0.25rem 0.5rem; - text-align: center; - vertical-align: top; } - html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .textarea, html.theme--documenter-dark .select select { - background-color: #1f2424; - border-color: #5e6d6f; - border-radius: 0.4em; - color: #dbdee0; } - html.theme--documenter-dark .input::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, html.theme--documenter-dark .textarea::-moz-placeholder, html.theme--documenter-dark .select select::-moz-placeholder { - color: rgba(219, 222, 224, 0.3); } - html.theme--documenter-dark .input::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, html.theme--documenter-dark .textarea::-webkit-input-placeholder, html.theme--documenter-dark .select select::-webkit-input-placeholder { - color: rgba(219, 222, 224, 0.3); } - html.theme--documenter-dark .input:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, html.theme--documenter-dark .textarea:-moz-placeholder, html.theme--documenter-dark .select select:-moz-placeholder { - color: rgba(219, 222, 224, 0.3); } - html.theme--documenter-dark .input:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, html.theme--documenter-dark .textarea:-ms-input-placeholder, html.theme--documenter-dark .select select:-ms-input-placeholder { - color: rgba(219, 222, 224, 0.3); } - html.theme--documenter-dark .input:hover, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:hover, html.theme--documenter-dark .textarea:hover, html.theme--documenter-dark .select select:hover, html.theme--documenter-dark .is-hovered.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-hovered, html.theme--documenter-dark .is-hovered.textarea, html.theme--documenter-dark .select select.is-hovered { - border-color: #8c9b9d; } - html.theme--documenter-dark .input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:focus, html.theme--documenter-dark .textarea:focus, html.theme--documenter-dark .select select:focus, html.theme--documenter-dark .is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-focused, html.theme--documenter-dark .is-focused.textarea, html.theme--documenter-dark .select select.is-focused, html.theme--documenter-dark .input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:active, html.theme--documenter-dark .textarea:active, html.theme--documenter-dark .select select:active, html.theme--documenter-dark .is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-active, html.theme--documenter-dark .is-active.textarea, html.theme--documenter-dark .select select.is-active { - border-color: #1abc9c; - box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } - html.theme--documenter-dark .input[disabled], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled], html.theme--documenter-dark .textarea[disabled], html.theme--documenter-dark .select select[disabled], - fieldset[disabled] html.theme--documenter-dark .input, - fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, - fieldset[disabled] html.theme--documenter-dark .textarea, - fieldset[disabled] html.theme--documenter-dark .select select { - background-color: #8c9b9d; - border-color: #282f2f; - box-shadow: none; - color: white; } - html.theme--documenter-dark .input[disabled]::-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, html.theme--documenter-dark .textarea[disabled]::-moz-placeholder, html.theme--documenter-dark .select select[disabled]::-moz-placeholder, - fieldset[disabled] html.theme--documenter-dark .input::-moz-placeholder, - fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, - fieldset[disabled] html.theme--documenter-dark .textarea::-moz-placeholder, - fieldset[disabled] html.theme--documenter-dark .select select::-moz-placeholder { - color: rgba(255, 255, 255, 0.3); } - html.theme--documenter-dark .input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .textarea[disabled]::-webkit-input-placeholder, html.theme--documenter-dark .select select[disabled]::-webkit-input-placeholder, - fieldset[disabled] html.theme--documenter-dark .input::-webkit-input-placeholder, - fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, - fieldset[disabled] html.theme--documenter-dark .textarea::-webkit-input-placeholder, - fieldset[disabled] html.theme--documenter-dark .select select::-webkit-input-placeholder { - color: rgba(255, 255, 255, 0.3); } - html.theme--documenter-dark .input[disabled]:-moz-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, html.theme--documenter-dark .textarea[disabled]:-moz-placeholder, html.theme--documenter-dark .select select[disabled]:-moz-placeholder, - fieldset[disabled] html.theme--documenter-dark .input:-moz-placeholder, - fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, - fieldset[disabled] html.theme--documenter-dark .textarea:-moz-placeholder, - fieldset[disabled] html.theme--documenter-dark .select select:-moz-placeholder { - color: rgba(255, 255, 255, 0.3); } - html.theme--documenter-dark .input[disabled]:-ms-input-placeholder, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, html.theme--documenter-dark .textarea[disabled]:-ms-input-placeholder, html.theme--documenter-dark .select select[disabled]:-ms-input-placeholder, - fieldset[disabled] html.theme--documenter-dark .input:-ms-input-placeholder, - fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, - fieldset[disabled] html.theme--documenter-dark .textarea:-ms-input-placeholder, - fieldset[disabled] html.theme--documenter-dark .select select:-ms-input-placeholder { - color: rgba(255, 255, 255, 0.3); } - html.theme--documenter-dark .input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .textarea { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1); - max-width: 100%; - width: 100%; } - html.theme--documenter-dark .input[readonly], html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input[readonly], html.theme--documenter-dark .textarea[readonly] { - box-shadow: none; } - html.theme--documenter-dark .is-white.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white, html.theme--documenter-dark .is-white.textarea { - border-color: white; } - html.theme--documenter-dark .is-white.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:focus, html.theme--documenter-dark .is-white.textarea:focus, html.theme--documenter-dark .is-white.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white.is-focused, html.theme--documenter-dark .is-white.is-focused.textarea, html.theme--documenter-dark .is-white.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white:active, html.theme--documenter-dark .is-white.textarea:active, html.theme--documenter-dark .is-white.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-white.is-active, html.theme--documenter-dark .is-white.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - html.theme--documenter-dark .is-black.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black, html.theme--documenter-dark .is-black.textarea { - border-color: #0a0a0a; } - html.theme--documenter-dark .is-black.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:focus, html.theme--documenter-dark .is-black.textarea:focus, html.theme--documenter-dark .is-black.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black.is-focused, html.theme--documenter-dark .is-black.is-focused.textarea, html.theme--documenter-dark .is-black.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black:active, html.theme--documenter-dark .is-black.textarea:active, html.theme--documenter-dark .is-black.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-black.is-active, html.theme--documenter-dark .is-black.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - html.theme--documenter-dark .is-light.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light, html.theme--documenter-dark .is-light.textarea { - border-color: #ecf0f1; } - html.theme--documenter-dark .is-light.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:focus, html.theme--documenter-dark .is-light.textarea:focus, html.theme--documenter-dark .is-light.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light.is-focused, html.theme--documenter-dark .is-light.is-focused.textarea, html.theme--documenter-dark .is-light.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light:active, html.theme--documenter-dark .is-light.textarea:active, html.theme--documenter-dark .is-light.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-light.is-active, html.theme--documenter-dark .is-light.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } - html.theme--documenter-dark .is-dark.input, html.theme--documenter-dark .content kbd.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark, html.theme--documenter-dark .is-dark.textarea, html.theme--documenter-dark .content kbd.textarea { - border-color: #282f2f; } - html.theme--documenter-dark .is-dark.input:focus, html.theme--documenter-dark .content kbd.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:focus, html.theme--documenter-dark .is-dark.textarea:focus, html.theme--documenter-dark .content kbd.textarea:focus, html.theme--documenter-dark .is-dark.is-focused.input, html.theme--documenter-dark .content kbd.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark.is-focused, html.theme--documenter-dark .is-dark.is-focused.textarea, html.theme--documenter-dark .content kbd.is-focused.textarea, html.theme--documenter-dark .is-dark.input:active, html.theme--documenter-dark .content kbd.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark:active, html.theme--documenter-dark .is-dark.textarea:active, html.theme--documenter-dark .content kbd.textarea:active, html.theme--documenter-dark .is-dark.is-active.input, html.theme--documenter-dark .content kbd.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-dark.is-active, html.theme--documenter-dark .is-dark.is-active.textarea, html.theme--documenter-dark .content kbd.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } - html.theme--documenter-dark .is-primary.input, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary, html.theme--documenter-dark .is-primary.textarea, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink { - border-color: #375a7f; } - html.theme--documenter-dark .is-primary.input:focus, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:focus, html.theme--documenter-dark .is-primary.textarea:focus, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:focus, html.theme--documenter-dark .is-primary.is-focused.input, html.theme--documenter-dark .docstring > section > a.is-focused.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary.is-focused, html.theme--documenter-dark .is-primary.is-focused.textarea, html.theme--documenter-dark .docstring > section > a.is-focused.textarea.docs-sourcelink, html.theme--documenter-dark .is-primary.input:active, html.theme--documenter-dark .docstring > section > a.input.docs-sourcelink:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary:active, html.theme--documenter-dark .is-primary.textarea:active, html.theme--documenter-dark .docstring > section > a.textarea.docs-sourcelink:active, html.theme--documenter-dark .is-primary.is-active.input, html.theme--documenter-dark .docstring > section > a.is-active.input.docs-sourcelink, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-primary.is-active, html.theme--documenter-dark .is-primary.is-active.textarea, html.theme--documenter-dark .docstring > section > a.is-active.textarea.docs-sourcelink { - box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } - html.theme--documenter-dark .is-link.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link, html.theme--documenter-dark .is-link.textarea { - border-color: #1abc9c; } - html.theme--documenter-dark .is-link.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:focus, html.theme--documenter-dark .is-link.textarea:focus, html.theme--documenter-dark .is-link.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link.is-focused, html.theme--documenter-dark .is-link.is-focused.textarea, html.theme--documenter-dark .is-link.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link:active, html.theme--documenter-dark .is-link.textarea:active, html.theme--documenter-dark .is-link.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-link.is-active, html.theme--documenter-dark .is-link.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } - html.theme--documenter-dark .is-info.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info, html.theme--documenter-dark .is-info.textarea { - border-color: #024c7d; } - html.theme--documenter-dark .is-info.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:focus, html.theme--documenter-dark .is-info.textarea:focus, html.theme--documenter-dark .is-info.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info.is-focused, html.theme--documenter-dark .is-info.is-focused.textarea, html.theme--documenter-dark .is-info.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info:active, html.theme--documenter-dark .is-info.textarea:active, html.theme--documenter-dark .is-info.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-info.is-active, html.theme--documenter-dark .is-info.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } - html.theme--documenter-dark .is-success.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success, html.theme--documenter-dark .is-success.textarea { - border-color: #008438; } - html.theme--documenter-dark .is-success.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:focus, html.theme--documenter-dark .is-success.textarea:focus, html.theme--documenter-dark .is-success.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success.is-focused, html.theme--documenter-dark .is-success.is-focused.textarea, html.theme--documenter-dark .is-success.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success:active, html.theme--documenter-dark .is-success.textarea:active, html.theme--documenter-dark .is-success.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-success.is-active, html.theme--documenter-dark .is-success.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } - html.theme--documenter-dark .is-warning.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning, html.theme--documenter-dark .is-warning.textarea { - border-color: #ad8100; } - html.theme--documenter-dark .is-warning.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:focus, html.theme--documenter-dark .is-warning.textarea:focus, html.theme--documenter-dark .is-warning.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning.is-focused, html.theme--documenter-dark .is-warning.is-focused.textarea, html.theme--documenter-dark .is-warning.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning:active, html.theme--documenter-dark .is-warning.textarea:active, html.theme--documenter-dark .is-warning.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-warning.is-active, html.theme--documenter-dark .is-warning.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } - html.theme--documenter-dark .is-danger.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger, html.theme--documenter-dark .is-danger.textarea { - border-color: #9e1b0d; } - html.theme--documenter-dark .is-danger.input:focus, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:focus, html.theme--documenter-dark .is-danger.textarea:focus, html.theme--documenter-dark .is-danger.is-focused.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger.is-focused, html.theme--documenter-dark .is-danger.is-focused.textarea, html.theme--documenter-dark .is-danger.input:active, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger:active, html.theme--documenter-dark .is-danger.textarea:active, html.theme--documenter-dark .is-danger.is-active.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-danger.is-active, html.theme--documenter-dark .is-danger.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } - html.theme--documenter-dark .is-small.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark .is-small.textarea { - border-radius: 3px; - font-size: 0.85em; } - html.theme--documenter-dark .is-medium.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-medium, html.theme--documenter-dark .is-medium.textarea { - font-size: 1.25rem; } - html.theme--documenter-dark .is-large.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-large, html.theme--documenter-dark .is-large.textarea { - font-size: 1.5rem; } - html.theme--documenter-dark .is-fullwidth.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-fullwidth, html.theme--documenter-dark .is-fullwidth.textarea { - display: block; - width: 100%; } - html.theme--documenter-dark .is-inline.input, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-inline, html.theme--documenter-dark .is-inline.textarea { - display: inline; - width: auto; } - html.theme--documenter-dark .input.is-rounded, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { - border-radius: 290486px; - padding-left: 1em; - padding-right: 1em; } - html.theme--documenter-dark .input.is-static, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.is-static { - background-color: transparent; - border-color: transparent; - box-shadow: none; - padding-left: 0; - padding-right: 0; } - html.theme--documenter-dark .textarea { - display: block; - max-width: 100%; - min-width: 100%; - padding: 0.625em; - resize: vertical; } - html.theme--documenter-dark .textarea:not([rows]) { - max-height: 600px; - min-height: 120px; } - html.theme--documenter-dark .textarea[rows] { - height: initial; } - html.theme--documenter-dark .textarea.has-fixed-size { - resize: none; } - html.theme--documenter-dark .checkbox, html.theme--documenter-dark .radio { - cursor: pointer; - display: inline-block; - line-height: 1.25; - position: relative; } - html.theme--documenter-dark .checkbox input, html.theme--documenter-dark .radio input { - cursor: pointer; } - html.theme--documenter-dark .checkbox:hover, html.theme--documenter-dark .radio:hover { - color: #8c9b9d; } - html.theme--documenter-dark .checkbox[disabled], html.theme--documenter-dark .radio[disabled], - fieldset[disabled] html.theme--documenter-dark .checkbox, - fieldset[disabled] html.theme--documenter-dark .radio { - color: white; - cursor: not-allowed; } - html.theme--documenter-dark .radio + .radio { - margin-left: 0.5em; } - html.theme--documenter-dark .select { - display: inline-block; - max-width: 100%; - position: relative; - vertical-align: top; } - html.theme--documenter-dark .select:not(.is-multiple) { - height: 2.25em; } - html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after { - border-color: #1abc9c; - right: 1.125em; - z-index: 4; } - html.theme--documenter-dark .select.is-rounded select, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select select { - border-radius: 290486px; - padding-left: 1em; } - html.theme--documenter-dark .select select { - cursor: pointer; - display: block; - font-size: 1em; - max-width: 100%; - outline: none; } - html.theme--documenter-dark .select select::-ms-expand { - display: none; } - html.theme--documenter-dark .select select[disabled]:hover, - fieldset[disabled] html.theme--documenter-dark .select select:hover { - border-color: #282f2f; } - html.theme--documenter-dark .select select:not([multiple]) { - padding-right: 2.5em; } - html.theme--documenter-dark .select select[multiple] { - height: auto; - padding: 0; } - html.theme--documenter-dark .select select[multiple] option { - padding: 0.5em 1em; } - html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading):hover::after { - border-color: #8c9b9d; } - html.theme--documenter-dark .select.is-white:not(:hover)::after { - border-color: white; } - html.theme--documenter-dark .select.is-white select { - border-color: white; } - html.theme--documenter-dark .select.is-white select:hover, html.theme--documenter-dark .select.is-white select.is-hovered { - border-color: #f2f2f2; } - html.theme--documenter-dark .select.is-white select:focus, html.theme--documenter-dark .select.is-white select.is-focused, html.theme--documenter-dark .select.is-white select:active, html.theme--documenter-dark .select.is-white select.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - html.theme--documenter-dark .select.is-black:not(:hover)::after { - border-color: #0a0a0a; } - html.theme--documenter-dark .select.is-black select { - border-color: #0a0a0a; } - html.theme--documenter-dark .select.is-black select:hover, html.theme--documenter-dark .select.is-black select.is-hovered { - border-color: black; } - html.theme--documenter-dark .select.is-black select:focus, html.theme--documenter-dark .select.is-black select.is-focused, html.theme--documenter-dark .select.is-black select:active, html.theme--documenter-dark .select.is-black select.is-active { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - html.theme--documenter-dark .select.is-light:not(:hover)::after { - border-color: #ecf0f1; } - html.theme--documenter-dark .select.is-light select { - border-color: #ecf0f1; } - html.theme--documenter-dark .select.is-light select:hover, html.theme--documenter-dark .select.is-light select.is-hovered { - border-color: #dde4e6; } - html.theme--documenter-dark .select.is-light select:focus, html.theme--documenter-dark .select.is-light select.is-focused, html.theme--documenter-dark .select.is-light select:active, html.theme--documenter-dark .select.is-light select.is-active { - box-shadow: 0 0 0 0.125em rgba(236, 240, 241, 0.25); } - html.theme--documenter-dark .select.is-dark:not(:hover)::after, html.theme--documenter-dark .content kbd.select:not(:hover)::after { - border-color: #282f2f; } - html.theme--documenter-dark .select.is-dark select, html.theme--documenter-dark .content kbd.select select { - border-color: #282f2f; } - html.theme--documenter-dark .select.is-dark select:hover, html.theme--documenter-dark .content kbd.select select:hover, html.theme--documenter-dark .select.is-dark select.is-hovered, html.theme--documenter-dark .content kbd.select select.is-hovered { - border-color: #1d2122; } - html.theme--documenter-dark .select.is-dark select:focus, html.theme--documenter-dark .content kbd.select select:focus, html.theme--documenter-dark .select.is-dark select.is-focused, html.theme--documenter-dark .content kbd.select select.is-focused, html.theme--documenter-dark .select.is-dark select:active, html.theme--documenter-dark .content kbd.select select:active, html.theme--documenter-dark .select.is-dark select.is-active, html.theme--documenter-dark .content kbd.select select.is-active { - box-shadow: 0 0 0 0.125em rgba(40, 47, 47, 0.25); } - html.theme--documenter-dark .select.is-primary:not(:hover)::after, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink:not(:hover)::after { - border-color: #375a7f; } - html.theme--documenter-dark .select.is-primary select, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select { - border-color: #375a7f; } - html.theme--documenter-dark .select.is-primary select:hover, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:hover, html.theme--documenter-dark .select.is-primary select.is-hovered, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-hovered { - border-color: #2f4d6d; } - html.theme--documenter-dark .select.is-primary select:focus, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:focus, html.theme--documenter-dark .select.is-primary select.is-focused, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-focused, html.theme--documenter-dark .select.is-primary select:active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select:active, html.theme--documenter-dark .select.is-primary select.is-active, html.theme--documenter-dark .docstring > section > a.select.docs-sourcelink select.is-active { - box-shadow: 0 0 0 0.125em rgba(55, 90, 127, 0.25); } - html.theme--documenter-dark .select.is-link:not(:hover)::after { - border-color: #1abc9c; } - html.theme--documenter-dark .select.is-link select { - border-color: #1abc9c; } - html.theme--documenter-dark .select.is-link select:hover, html.theme--documenter-dark .select.is-link select.is-hovered { - border-color: #17a689; } - html.theme--documenter-dark .select.is-link select:focus, html.theme--documenter-dark .select.is-link select.is-focused, html.theme--documenter-dark .select.is-link select:active, html.theme--documenter-dark .select.is-link select.is-active { - box-shadow: 0 0 0 0.125em rgba(26, 188, 156, 0.25); } - html.theme--documenter-dark .select.is-info:not(:hover)::after { - border-color: #024c7d; } - html.theme--documenter-dark .select.is-info select { - border-color: #024c7d; } - html.theme--documenter-dark .select.is-info select:hover, html.theme--documenter-dark .select.is-info select.is-hovered { - border-color: #023d64; } - html.theme--documenter-dark .select.is-info select:focus, html.theme--documenter-dark .select.is-info select.is-focused, html.theme--documenter-dark .select.is-info select:active, html.theme--documenter-dark .select.is-info select.is-active { - box-shadow: 0 0 0 0.125em rgba(2, 76, 125, 0.25); } - html.theme--documenter-dark .select.is-success:not(:hover)::after { - border-color: #008438; } - html.theme--documenter-dark .select.is-success select { - border-color: #008438; } - html.theme--documenter-dark .select.is-success select:hover, html.theme--documenter-dark .select.is-success select.is-hovered { - border-color: #006b2d; } - html.theme--documenter-dark .select.is-success select:focus, html.theme--documenter-dark .select.is-success select.is-focused, html.theme--documenter-dark .select.is-success select:active, html.theme--documenter-dark .select.is-success select.is-active { - box-shadow: 0 0 0 0.125em rgba(0, 132, 56, 0.25); } - html.theme--documenter-dark .select.is-warning:not(:hover)::after { - border-color: #ad8100; } - html.theme--documenter-dark .select.is-warning select { - border-color: #ad8100; } - html.theme--documenter-dark .select.is-warning select:hover, html.theme--documenter-dark .select.is-warning select.is-hovered { - border-color: #946e00; } - html.theme--documenter-dark .select.is-warning select:focus, html.theme--documenter-dark .select.is-warning select.is-focused, html.theme--documenter-dark .select.is-warning select:active, html.theme--documenter-dark .select.is-warning select.is-active { - box-shadow: 0 0 0 0.125em rgba(173, 129, 0, 0.25); } - html.theme--documenter-dark .select.is-danger:not(:hover)::after { - border-color: #9e1b0d; } - html.theme--documenter-dark .select.is-danger select { - border-color: #9e1b0d; } - html.theme--documenter-dark .select.is-danger select:hover, html.theme--documenter-dark .select.is-danger select.is-hovered { - border-color: #86170b; } - html.theme--documenter-dark .select.is-danger select:focus, html.theme--documenter-dark .select.is-danger select.is-focused, html.theme--documenter-dark .select.is-danger select:active, html.theme--documenter-dark .select.is-danger select.is-active { - box-shadow: 0 0 0 0.125em rgba(158, 27, 13, 0.25); } - html.theme--documenter-dark .select.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select { - border-radius: 3px; - font-size: 0.85em; } - html.theme--documenter-dark .select.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .select.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .select.is-disabled::after { - border-color: white; } - html.theme--documenter-dark .select.is-fullwidth { - width: 100%; } - html.theme--documenter-dark .select.is-fullwidth select { - width: 100%; } - html.theme--documenter-dark .select.is-loading::after { - margin-top: 0; - position: absolute; - right: 0.625em; - top: 0.625em; - transform: none; } - html.theme--documenter-dark .select.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.select.is-loading:after { - font-size: 0.85em; } - html.theme--documenter-dark .select.is-loading.is-medium:after { - font-size: 1.25rem; } - html.theme--documenter-dark .select.is-loading.is-large:after { - font-size: 1.5rem; } - html.theme--documenter-dark .file { - align-items: stretch; - display: flex; - justify-content: flex-start; - position: relative; } - html.theme--documenter-dark .file.is-white .file-cta { - background-color: white; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .file.is-white:hover .file-cta, html.theme--documenter-dark .file.is-white.is-hovered .file-cta { - background-color: #f9f9f9; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .file.is-white:focus .file-cta, html.theme--documenter-dark .file.is-white.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25); - color: #0a0a0a; } - html.theme--documenter-dark .file.is-white:active .file-cta, html.theme--documenter-dark .file.is-white.is-active .file-cta { - background-color: #f2f2f2; - border-color: transparent; - color: #0a0a0a; } - html.theme--documenter-dark .file.is-black .file-cta { - background-color: #0a0a0a; - border-color: transparent; - color: white; } - html.theme--documenter-dark .file.is-black:hover .file-cta, html.theme--documenter-dark .file.is-black.is-hovered .file-cta { - background-color: #040404; - border-color: transparent; - color: white; } - html.theme--documenter-dark .file.is-black:focus .file-cta, html.theme--documenter-dark .file.is-black.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25); - color: white; } - html.theme--documenter-dark .file.is-black:active .file-cta, html.theme--documenter-dark .file.is-black.is-active .file-cta { - background-color: black; - border-color: transparent; - color: white; } - html.theme--documenter-dark .file.is-light .file-cta { - background-color: #ecf0f1; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .file.is-light:hover .file-cta, html.theme--documenter-dark .file.is-light.is-hovered .file-cta { - background-color: #e5eaec; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .file.is-light:focus .file-cta, html.theme--documenter-dark .file.is-light.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(236, 240, 241, 0.25); - color: #282f2f; } - html.theme--documenter-dark .file.is-light:active .file-cta, html.theme--documenter-dark .file.is-light.is-active .file-cta { - background-color: #dde4e6; - border-color: transparent; - color: #282f2f; } - html.theme--documenter-dark .file.is-dark .file-cta, html.theme--documenter-dark .content kbd.file .file-cta { - background-color: #282f2f; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .file.is-dark:hover .file-cta, html.theme--documenter-dark .content kbd.file:hover .file-cta, html.theme--documenter-dark .file.is-dark.is-hovered .file-cta, html.theme--documenter-dark .content kbd.file.is-hovered .file-cta { - background-color: #232829; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .file.is-dark:focus .file-cta, html.theme--documenter-dark .content kbd.file:focus .file-cta, html.theme--documenter-dark .file.is-dark.is-focused .file-cta, html.theme--documenter-dark .content kbd.file.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(40, 47, 47, 0.25); - color: #ecf0f1; } - html.theme--documenter-dark .file.is-dark:active .file-cta, html.theme--documenter-dark .content kbd.file:active .file-cta, html.theme--documenter-dark .file.is-dark.is-active .file-cta, html.theme--documenter-dark .content kbd.file.is-active .file-cta { - background-color: #1d2122; - border-color: transparent; - color: #ecf0f1; } - html.theme--documenter-dark .file.is-primary .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink .file-cta { - background-color: #375a7f; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-primary:hover .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:hover .file-cta, html.theme--documenter-dark .file.is-primary.is-hovered .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta { - background-color: #335476; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-primary:focus .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:focus .file-cta, html.theme--documenter-dark .file.is-primary.is-focused .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-focused.docs-sourcelink .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(55, 90, 127, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-primary:active .file-cta, html.theme--documenter-dark .docstring > section > a.file.docs-sourcelink:active .file-cta, html.theme--documenter-dark .file.is-primary.is-active .file-cta, html.theme--documenter-dark .docstring > section > a.file.is-active.docs-sourcelink .file-cta { - background-color: #2f4d6d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-link .file-cta { - background-color: #1abc9c; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-link:hover .file-cta, html.theme--documenter-dark .file.is-link.is-hovered .file-cta { - background-color: #18b193; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-link:focus .file-cta, html.theme--documenter-dark .file.is-link.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(26, 188, 156, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-link:active .file-cta, html.theme--documenter-dark .file.is-link.is-active .file-cta { - background-color: #17a689; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-info .file-cta { - background-color: #024c7d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-info:hover .file-cta, html.theme--documenter-dark .file.is-info.is-hovered .file-cta { - background-color: #024470; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-info:focus .file-cta, html.theme--documenter-dark .file.is-info.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(2, 76, 125, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-info:active .file-cta, html.theme--documenter-dark .file.is-info.is-active .file-cta { - background-color: #023d64; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-success .file-cta { - background-color: #008438; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-success:hover .file-cta, html.theme--documenter-dark .file.is-success.is-hovered .file-cta { - background-color: #007733; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-success:focus .file-cta, html.theme--documenter-dark .file.is-success.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(0, 132, 56, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-success:active .file-cta, html.theme--documenter-dark .file.is-success.is-active .file-cta { - background-color: #006b2d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-warning .file-cta { - background-color: #ad8100; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-warning:hover .file-cta, html.theme--documenter-dark .file.is-warning.is-hovered .file-cta { - background-color: #a07700; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-warning:focus .file-cta, html.theme--documenter-dark .file.is-warning.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(173, 129, 0, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-warning:active .file-cta, html.theme--documenter-dark .file.is-warning.is-active .file-cta { - background-color: #946e00; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-danger .file-cta { - background-color: #9e1b0d; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-danger:hover .file-cta, html.theme--documenter-dark .file.is-danger.is-hovered .file-cta { - background-color: #92190c; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-danger:focus .file-cta, html.theme--documenter-dark .file.is-danger.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(158, 27, 13, 0.25); - color: #fff; } - html.theme--documenter-dark .file.is-danger:active .file-cta, html.theme--documenter-dark .file.is-danger.is-active .file-cta { - background-color: #86170b; - border-color: transparent; - color: #fff; } - html.theme--documenter-dark .file.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file { - font-size: 0.85em; } - html.theme--documenter-dark .file.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .file.is-medium .file-icon .fa { - font-size: 21px; } - html.theme--documenter-dark .file.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .file.is-large .file-icon .fa { - font-size: 28px; } - html.theme--documenter-dark .file.has-name .file-cta { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - html.theme--documenter-dark .file.has-name .file-name { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - html.theme--documenter-dark .file.has-name.is-empty .file-cta { - border-radius: 0.4em; } - html.theme--documenter-dark .file.has-name.is-empty .file-name { - display: none; } - html.theme--documenter-dark .file.is-boxed .file-label { - flex-direction: column; } - html.theme--documenter-dark .file.is-boxed .file-cta { - flex-direction: column; - height: auto; - padding: 1em 3em; } - html.theme--documenter-dark .file.is-boxed .file-name { - border-width: 0 1px 1px; } - html.theme--documenter-dark .file.is-boxed .file-icon { - height: 1.5em; - width: 1.5em; } - html.theme--documenter-dark .file.is-boxed .file-icon .fa { - font-size: 21px; } - html.theme--documenter-dark .file.is-boxed.is-small .file-icon .fa, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.file.is-boxed .file-icon .fa { - font-size: 14px; } - html.theme--documenter-dark .file.is-boxed.is-medium .file-icon .fa { - font-size: 28px; } - html.theme--documenter-dark .file.is-boxed.is-large .file-icon .fa { - font-size: 35px; } - html.theme--documenter-dark .file.is-boxed.has-name .file-cta { - border-radius: 0.4em 0.4em 0 0; } - html.theme--documenter-dark .file.is-boxed.has-name .file-name { - border-radius: 0 0 0.4em 0.4em; - border-width: 0 1px 1px; } - html.theme--documenter-dark .file.is-centered { - justify-content: center; } - html.theme--documenter-dark .file.is-fullwidth .file-label { - width: 100%; } - html.theme--documenter-dark .file.is-fullwidth .file-name { - flex-grow: 1; - max-width: none; } - html.theme--documenter-dark .file.is-right { - justify-content: flex-end; } - html.theme--documenter-dark .file.is-right .file-cta { - border-radius: 0 0.4em 0.4em 0; } - html.theme--documenter-dark .file.is-right .file-name { - border-radius: 0.4em 0 0 0.4em; - border-width: 1px 0 1px 1px; - order: -1; } - html.theme--documenter-dark .file-label { - align-items: stretch; - display: flex; - cursor: pointer; - justify-content: flex-start; - overflow: hidden; - position: relative; } - html.theme--documenter-dark .file-label:hover .file-cta { - background-color: #e5eaec; - color: #282f2f; } - html.theme--documenter-dark .file-label:hover .file-name { - border-color: #596668; } - html.theme--documenter-dark .file-label:active .file-cta { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .file-label:active .file-name { - border-color: #535f61; } - html.theme--documenter-dark .file-input { - height: 100%; - left: 0; - opacity: 0; - outline: none; - position: absolute; - top: 0; - width: 100%; } - html.theme--documenter-dark .file-cta, - html.theme--documenter-dark .file-name { - border-color: #5e6d6f; - border-radius: 0.4em; - font-size: 1em; - padding-left: 1em; - padding-right: 1em; - white-space: nowrap; } - html.theme--documenter-dark .file-cta { - background-color: #ecf0f1; - color: #343c3d; } - html.theme--documenter-dark .file-name { - border-color: #5e6d6f; - border-style: solid; - border-width: 1px 1px 1px 0; - display: block; - max-width: 16em; - overflow: hidden; - text-align: left; - text-overflow: ellipsis; } - html.theme--documenter-dark .file-icon { - align-items: center; - display: flex; - height: 1em; - justify-content: center; - margin-right: 0.5em; - width: 1em; } - html.theme--documenter-dark .file-icon .fa { - font-size: 14px; } - html.theme--documenter-dark .label { - color: #282f2f; - display: block; - font-size: 15px; - font-weight: 700; } - html.theme--documenter-dark .label:not(:last-child) { - margin-bottom: 0.5em; } - html.theme--documenter-dark .label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.label { - font-size: 0.85em; } - html.theme--documenter-dark .label.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .label.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .help { - display: block; - font-size: 0.85em; - margin-top: 0.25rem; } - html.theme--documenter-dark .help.is-white { - color: white; } - html.theme--documenter-dark .help.is-black { - color: #0a0a0a; } - html.theme--documenter-dark .help.is-light { - color: #ecf0f1; } - html.theme--documenter-dark .help.is-dark, html.theme--documenter-dark .content kbd.help { - color: #282f2f; } - html.theme--documenter-dark .help.is-primary, html.theme--documenter-dark .docstring > section > a.help.docs-sourcelink { - color: #375a7f; } - html.theme--documenter-dark .help.is-link { - color: #1abc9c; } - html.theme--documenter-dark .help.is-info { - color: #024c7d; } - html.theme--documenter-dark .help.is-success { - color: #008438; } - html.theme--documenter-dark .help.is-warning { - color: #ad8100; } - html.theme--documenter-dark .help.is-danger { - color: #9e1b0d; } - html.theme--documenter-dark .field:not(:last-child) { - margin-bottom: 0.75rem; } - html.theme--documenter-dark .field.has-addons { - display: flex; - justify-content: flex-start; } - html.theme--documenter-dark .field.has-addons .control:not(:last-child) { - margin-right: -1px; } - html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .button, - html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .input, - html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input, - html.theme--documenter-dark .field.has-addons .control:not(:first-child):not(:last-child) .select select { - border-radius: 0; } - html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .button, - html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .input, - html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input, - html.theme--documenter-dark .field.has-addons .control:first-child:not(:only-child) .select select { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .button, - html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .input, - html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input, - html.theme--documenter-dark .field.has-addons .control:last-child:not(:only-child) .select select { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-hovered, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-hovered, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-hovered, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-hovered, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):hover, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-hovered { - z-index: 2; } - html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-focused, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-active, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-focused, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-active, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-focused, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-active { - z-index: 3; } - html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):focus:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-focused:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]):active:hover, html.theme--documenter-dark .field.has-addons .control .button:not([disabled]).is-active:hover, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):focus:hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-focused:hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused:hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused:hover, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]):active:hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover, - html.theme--documenter-dark .field.has-addons .control .input:not([disabled]).is-active:hover, - html.theme--documenter-dark .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active:hover, - html.theme--documenter-dark #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active:hover, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):focus:hover, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-focused:hover, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]):active:hover, - html.theme--documenter-dark .field.has-addons .control .select select:not([disabled]).is-active:hover { - z-index: 4; } - html.theme--documenter-dark .field.has-addons .control.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .field.has-addons.has-addons-centered { - justify-content: center; } - html.theme--documenter-dark .field.has-addons.has-addons-right { - justify-content: flex-end; } - html.theme--documenter-dark .field.has-addons.has-addons-fullwidth .control { - flex-grow: 1; - flex-shrink: 0; } - html.theme--documenter-dark .field.is-grouped { - display: flex; - justify-content: flex-start; } - html.theme--documenter-dark .field.is-grouped > .control { - flex-shrink: 0; } - html.theme--documenter-dark .field.is-grouped > .control:not(:last-child) { - margin-bottom: 0; - margin-right: 0.75rem; } - html.theme--documenter-dark .field.is-grouped > .control.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .field.is-grouped.is-grouped-centered { - justify-content: center; } - html.theme--documenter-dark .field.is-grouped.is-grouped-right { - justify-content: flex-end; } - html.theme--documenter-dark .field.is-grouped.is-grouped-multiline { - flex-wrap: wrap; } - html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:last-child, html.theme--documenter-dark .field.is-grouped.is-grouped-multiline > .control:not(:last-child) { - margin-bottom: 0.75rem; } - html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:last-child { - margin-bottom: -0.75rem; } - html.theme--documenter-dark .field.is-grouped.is-grouped-multiline:not(:last-child) { - margin-bottom: 0; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .field.is-horizontal { - display: flex; } } - html.theme--documenter-dark .field-label .label { - font-size: inherit; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .field-label { - margin-bottom: 0.5rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .field-label { - flex-basis: 0; - flex-grow: 1; - flex-shrink: 0; - margin-right: 1.5rem; - text-align: right; } - html.theme--documenter-dark .field-label.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.field-label { - font-size: 0.85em; - padding-top: 0.375em; } - html.theme--documenter-dark .field-label.is-normal { - padding-top: 0.375em; } - html.theme--documenter-dark .field-label.is-medium { - font-size: 1.25rem; - padding-top: 0.375em; } - html.theme--documenter-dark .field-label.is-large { - font-size: 1.5rem; - padding-top: 0.375em; } } - html.theme--documenter-dark .field-body .field .field { - margin-bottom: 0; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .field-body { - display: flex; - flex-basis: 0; - flex-grow: 5; - flex-shrink: 1; } - html.theme--documenter-dark .field-body .field { - margin-bottom: 0; } - html.theme--documenter-dark .field-body > .field { - flex-shrink: 1; } - html.theme--documenter-dark .field-body > .field:not(.is-narrow) { - flex-grow: 1; } - html.theme--documenter-dark .field-body > .field:not(:last-child) { - margin-right: 0.75rem; } } - html.theme--documenter-dark .control { - box-sizing: border-box; - clear: both; - font-size: 15px; - position: relative; - text-align: left; } - html.theme--documenter-dark .control.has-icons-left .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon, - html.theme--documenter-dark .control.has-icons-left .select:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right .input:focus ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon, - html.theme--documenter-dark .control.has-icons-right .select:focus ~ .icon { - color: #5e6d6f; } - html.theme--documenter-dark .control.has-icons-left .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon, - html.theme--documenter-dark .control.has-icons-left .select.is-small ~ .icon, - html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.select ~ .icon, - html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.select ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-small ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon, - html.theme--documenter-dark .control.has-icons-right .select.is-small ~ .icon, - html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.select ~ .icon, - html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.select ~ .icon { - font-size: 0.85em; } - html.theme--documenter-dark .control.has-icons-left .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon, - html.theme--documenter-dark .control.has-icons-left .select.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-medium ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon, - html.theme--documenter-dark .control.has-icons-right .select.is-medium ~ .icon { - font-size: 1.25rem; } - html.theme--documenter-dark .control.has-icons-left .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon, - html.theme--documenter-dark .control.has-icons-left .select.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right .input.is-large ~ .icon, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon, - html.theme--documenter-dark .control.has-icons-right .select.is-large ~ .icon { - font-size: 1.5rem; } - html.theme--documenter-dark .control.has-icons-left .icon, html.theme--documenter-dark .control.has-icons-right .icon { - color: #dbdee0; - height: 2.25em; - pointer-events: none; - position: absolute; - top: 0; - width: 2.25em; - z-index: 4; } - html.theme--documenter-dark .control.has-icons-left .input, html.theme--documenter-dark .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-left form.docs-search > input, - html.theme--documenter-dark .control.has-icons-left .select select { - padding-left: 2.25em; } - html.theme--documenter-dark .control.has-icons-left .icon.is-left { - left: 0; } - html.theme--documenter-dark .control.has-icons-right .input, html.theme--documenter-dark .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, html.theme--documenter-dark #documenter .docs-sidebar .control.has-icons-right form.docs-search > input, - html.theme--documenter-dark .control.has-icons-right .select select { - padding-right: 2.25em; } - html.theme--documenter-dark .control.has-icons-right .icon.is-right { - right: 0; } - html.theme--documenter-dark .control.is-loading::after { - position: absolute !important; - right: 0.625em; - top: 0.625em; - z-index: 4; } - html.theme--documenter-dark .control.is-loading.is-small:after, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.control.is-loading:after { - font-size: 0.85em; } - html.theme--documenter-dark .control.is-loading.is-medium:after { - font-size: 1.25rem; } - html.theme--documenter-dark .control.is-loading.is-large:after { - font-size: 1.5rem; } - html.theme--documenter-dark .breadcrumb { - font-size: 15px; - white-space: nowrap; } - html.theme--documenter-dark .breadcrumb a { - align-items: center; - color: #1abc9c; - display: flex; - justify-content: center; - padding: 0 0.75em; } - html.theme--documenter-dark .breadcrumb a:hover { - color: #1dd2af; } - html.theme--documenter-dark .breadcrumb li { - align-items: center; - display: flex; } - html.theme--documenter-dark .breadcrumb li:first-child a { - padding-left: 0; } - html.theme--documenter-dark .breadcrumb li.is-active a { - color: #f2f2f2; - cursor: default; - pointer-events: none; } - html.theme--documenter-dark .breadcrumb li + li::before { - color: #8c9b9d; - content: "\0002f"; } - html.theme--documenter-dark .breadcrumb ul, - html.theme--documenter-dark .breadcrumb ol { - align-items: flex-start; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - html.theme--documenter-dark .breadcrumb .icon:first-child { - margin-right: 0.5em; } - html.theme--documenter-dark .breadcrumb .icon:last-child { - margin-left: 0.5em; } - html.theme--documenter-dark .breadcrumb.is-centered ol, - html.theme--documenter-dark .breadcrumb.is-centered ul { - justify-content: center; } - html.theme--documenter-dark .breadcrumb.is-right ol, - html.theme--documenter-dark .breadcrumb.is-right ul { - justify-content: flex-end; } - html.theme--documenter-dark .breadcrumb.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.breadcrumb { - font-size: 0.85em; } - html.theme--documenter-dark .breadcrumb.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .breadcrumb.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .breadcrumb.has-arrow-separator li + li::before { - content: "\02192"; } - html.theme--documenter-dark .breadcrumb.has-bullet-separator li + li::before { - content: "\02022"; } - html.theme--documenter-dark .breadcrumb.has-dot-separator li + li::before { - content: "\000b7"; } - html.theme--documenter-dark .breadcrumb.has-succeeds-separator li + li::before { - content: "\0227B"; } - html.theme--documenter-dark .card { - background-color: white; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - color: #fff; - max-width: 100%; - position: relative; } - html.theme--documenter-dark .card-header { - background-color: transparent; - align-items: stretch; - box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); - display: flex; } - html.theme--documenter-dark .card-header-title { - align-items: center; - color: #f2f2f2; - display: flex; - flex-grow: 1; - font-weight: 700; - padding: 0.75rem; } - html.theme--documenter-dark .card-header-title.is-centered { - justify-content: center; } - html.theme--documenter-dark .card-header-icon { - align-items: center; - cursor: pointer; - display: flex; - justify-content: center; - padding: 0.75rem; } - html.theme--documenter-dark .card-image { - display: block; - position: relative; } - html.theme--documenter-dark .card-content { - background-color: transparent; - padding: 1rem 1.25rem; } - html.theme--documenter-dark .card-footer { - background-color: transparent; - border-top: 1px solid #5e6d6f; - align-items: stretch; - display: flex; } - html.theme--documenter-dark .card-footer-item { - align-items: center; - display: flex; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 0; - justify-content: center; - padding: 0.75rem; } - html.theme--documenter-dark .card-footer-item:not(:last-child) { - border-right: 1px solid #5e6d6f; } - html.theme--documenter-dark .card .media:not(:last-child) { - margin-bottom: 1.5rem; } - html.theme--documenter-dark .dropdown { - display: inline-flex; - position: relative; - vertical-align: top; } - html.theme--documenter-dark .dropdown.is-active .dropdown-menu, html.theme--documenter-dark .dropdown.is-hoverable:hover .dropdown-menu { - display: block; } - html.theme--documenter-dark .dropdown.is-right .dropdown-menu { - left: auto; - right: 0; } - html.theme--documenter-dark .dropdown.is-up .dropdown-menu { - bottom: 100%; - padding-bottom: 4px; - padding-top: initial; - top: auto; } - html.theme--documenter-dark .dropdown-menu { - display: none; - left: 0; - min-width: 12rem; - padding-top: 4px; - position: absolute; - top: 100%; - z-index: 20; } - html.theme--documenter-dark .dropdown-content { - background-color: #282f2f; - border-radius: 0.4em; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - padding-bottom: 0.5rem; - padding-top: 0.5rem; } - html.theme--documenter-dark .dropdown-item { - color: #fff; - display: block; - font-size: 0.875rem; - line-height: 1.5; - padding: 0.375rem 1rem; - position: relative; } - html.theme--documenter-dark a.dropdown-item, - html.theme--documenter-dark button.dropdown-item { - padding-right: 3rem; - text-align: left; - white-space: nowrap; - width: 100%; } - html.theme--documenter-dark a.dropdown-item:hover, - html.theme--documenter-dark button.dropdown-item:hover { - background-color: #282f2f; - color: #0a0a0a; } - html.theme--documenter-dark a.dropdown-item.is-active, - html.theme--documenter-dark button.dropdown-item.is-active { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .dropdown-divider { - background-color: #5e6d6f; - border: none; - display: block; - height: 1px; - margin: 0.5rem 0; } - html.theme--documenter-dark .level { - align-items: center; - justify-content: space-between; } - html.theme--documenter-dark .level code { - border-radius: 0.4em; } - html.theme--documenter-dark .level img { - display: inline-block; - vertical-align: top; } - html.theme--documenter-dark .level.is-mobile { - display: flex; } - html.theme--documenter-dark .level.is-mobile .level-left, - html.theme--documenter-dark .level.is-mobile .level-right { - display: flex; } - html.theme--documenter-dark .level.is-mobile .level-left + .level-right { - margin-top: 0; } - html.theme--documenter-dark .level.is-mobile .level-item:not(:last-child) { - margin-bottom: 0; - margin-right: 0.75rem; } - html.theme--documenter-dark .level.is-mobile .level-item:not(.is-narrow) { - flex-grow: 1; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .level { - display: flex; } - html.theme--documenter-dark .level > .level-item:not(.is-narrow) { - flex-grow: 1; } } - html.theme--documenter-dark .level-item { - align-items: center; - display: flex; - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; - justify-content: center; } - html.theme--documenter-dark .level-item .title, - html.theme--documenter-dark .level-item .subtitle { - margin-bottom: 0; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .level-item:not(:last-child) { - margin-bottom: 0.75rem; } } - html.theme--documenter-dark .level-left, - html.theme--documenter-dark .level-right { - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; } - html.theme--documenter-dark .level-left .level-item.is-flexible, - html.theme--documenter-dark .level-right .level-item.is-flexible { - flex-grow: 1; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .level-left .level-item:not(:last-child), - html.theme--documenter-dark .level-right .level-item:not(:last-child) { - margin-right: 0.75rem; } } - html.theme--documenter-dark .level-left { - align-items: center; - justify-content: flex-start; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .level-left + .level-right { - margin-top: 1.5rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .level-left { - display: flex; } } - html.theme--documenter-dark .level-right { - align-items: center; - justify-content: flex-end; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .level-right { - display: flex; } } - html.theme--documenter-dark .list { - background-color: white; - border-radius: 0.4em; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .list-item { - display: block; - padding: 0.5em 1em; } - html.theme--documenter-dark .list-item:not(a) { - color: #fff; } - html.theme--documenter-dark .list-item:first-child { - border-top-left-radius: 0.4em; - border-top-right-radius: 0.4em; } - html.theme--documenter-dark .list-item:last-child { - border-bottom-left-radius: 0.4em; - border-bottom-right-radius: 0.4em; } - html.theme--documenter-dark .list-item:not(:last-child) { - border-bottom: 1px solid #5e6d6f; } - html.theme--documenter-dark .list-item.is-active { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark a.list-item { - background-color: #282f2f; - cursor: pointer; } - html.theme--documenter-dark .media { - align-items: flex-start; - display: flex; - text-align: left; } - html.theme--documenter-dark .media .content:not(:last-child) { - margin-bottom: 0.75rem; } - html.theme--documenter-dark .media .media { - border-top: 1px solid rgba(94, 109, 111, 0.5); - display: flex; - padding-top: 0.75rem; } - html.theme--documenter-dark .media .media .content:not(:last-child), - html.theme--documenter-dark .media .media .control:not(:last-child) { - margin-bottom: 0.5rem; } - html.theme--documenter-dark .media .media .media { - padding-top: 0.5rem; } - html.theme--documenter-dark .media .media .media + .media { - margin-top: 0.5rem; } - html.theme--documenter-dark .media + .media { - border-top: 1px solid rgba(94, 109, 111, 0.5); - margin-top: 1rem; - padding-top: 1rem; } - html.theme--documenter-dark .media.is-large + .media { - margin-top: 1.5rem; - padding-top: 1.5rem; } - html.theme--documenter-dark .media-left, - html.theme--documenter-dark .media-right { - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; } - html.theme--documenter-dark .media-left { - margin-right: 1rem; } - html.theme--documenter-dark .media-right { - margin-left: 1rem; } - html.theme--documenter-dark .media-content { - flex-basis: auto; - flex-grow: 1; - flex-shrink: 1; - text-align: left; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .media-content { - overflow-x: auto; } } - html.theme--documenter-dark .menu { - font-size: 15px; } - html.theme--documenter-dark .menu.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.menu { - font-size: 0.85em; } - html.theme--documenter-dark .menu.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .menu.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .menu-list { - line-height: 1.25; } - html.theme--documenter-dark .menu-list a { - border-radius: 3px; - color: #fff; - display: block; - padding: 0.5em 0.75em; } - html.theme--documenter-dark .menu-list a:hover { - background-color: #282f2f; - color: #f2f2f2; } - html.theme--documenter-dark .menu-list a.is-active { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .menu-list li ul { - border-left: 1px solid #5e6d6f; - margin: 0.75em; - padding-left: 0.75em; } - html.theme--documenter-dark .menu-label { - color: white; - font-size: 0.75em; - letter-spacing: 0.1em; - text-transform: uppercase; } - html.theme--documenter-dark .menu-label:not(:first-child) { - margin-top: 1em; } - html.theme--documenter-dark .menu-label:not(:last-child) { - margin-bottom: 1em; } - html.theme--documenter-dark .message { - background-color: #282f2f; - border-radius: 0.4em; - font-size: 15px; } - html.theme--documenter-dark .message strong { - color: currentColor; } - html.theme--documenter-dark .message a:not(.button):not(.tag):not(.dropdown-item) { - color: currentColor; - text-decoration: underline; } - html.theme--documenter-dark .message.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.message { - font-size: 0.85em; } - html.theme--documenter-dark .message.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .message.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .message.is-white { - background-color: white; } - html.theme--documenter-dark .message.is-white .message-header { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .message.is-white .message-body { - border-color: white; - color: #4d4d4d; } - html.theme--documenter-dark .message.is-black { - background-color: #fafafa; } - html.theme--documenter-dark .message.is-black .message-header { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .message.is-black .message-body { - border-color: #0a0a0a; - color: #090909; } - html.theme--documenter-dark .message.is-light { - background-color: #f9fafb; } - html.theme--documenter-dark .message.is-light .message-header { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .message.is-light .message-body { - border-color: #ecf0f1; - color: #505050; } - html.theme--documenter-dark .message.is-dark, html.theme--documenter-dark .content kbd.message { - background-color: #f9fafa; } - html.theme--documenter-dark .message.is-dark .message-header, html.theme--documenter-dark .content kbd.message .message-header { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .message.is-dark .message-body, html.theme--documenter-dark .content kbd.message .message-body { - border-color: #282f2f; - color: #212526; } - html.theme--documenter-dark .message.is-primary, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink { - background-color: #f8fafc; } - html.theme--documenter-dark .message.is-primary .message-header, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-header { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .message.is-primary .message-body, html.theme--documenter-dark .docstring > section > a.message.docs-sourcelink .message-body { - border-color: #375a7f; - color: #2b4159; } - html.theme--documenter-dark .message.is-link { - background-color: #f6fefc; } - html.theme--documenter-dark .message.is-link .message-header { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .message.is-link .message-body { - border-color: #1abc9c; - color: #0b2f28; } - html.theme--documenter-dark .message.is-info { - background-color: #f5fbff; } - html.theme--documenter-dark .message.is-info .message-header { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .message.is-info .message-body { - border-color: #024c7d; - color: #033659; } - html.theme--documenter-dark .message.is-success { - background-color: #f5fff9; } - html.theme--documenter-dark .message.is-success .message-header { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .message.is-success .message-body { - border-color: #008438; - color: #023518; } - html.theme--documenter-dark .message.is-warning { - background-color: #fffcf5; } - html.theme--documenter-dark .message.is-warning .message-header { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .message.is-warning .message-body { - border-color: #ad8100; - color: #3d2e03; } - html.theme--documenter-dark .message.is-danger { - background-color: #fef6f6; } - html.theme--documenter-dark .message.is-danger .message-header { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .message.is-danger .message-body { - border-color: #9e1b0d; - color: #7a170c; } - html.theme--documenter-dark .message-header { - align-items: center; - background-color: #fff; - border-radius: 0.4em 0.4em 0 0; - color: rgba(0, 0, 0, 0.7); - display: flex; - font-weight: 700; - justify-content: space-between; - line-height: 1.25; - padding: 0.75em; - position: relative; } - html.theme--documenter-dark .message-header .delete { - flex-grow: 0; - flex-shrink: 0; - margin-left: 0.75em; } - html.theme--documenter-dark .message-header + .message-body { - border-width: 0; - border-top-left-radius: 0; - border-top-right-radius: 0; } - html.theme--documenter-dark .message-body { - border-color: #5e6d6f; - border-radius: 0.4em; - border-style: solid; - border-width: 0 0 0 4px; - color: #fff; - padding: 1em 1.25em; } - html.theme--documenter-dark .message-body code, - html.theme--documenter-dark .message-body pre { - background-color: white; } - html.theme--documenter-dark .message-body pre code { - background-color: transparent; } - html.theme--documenter-dark .modal { - align-items: center; - display: none; - flex-direction: column; - justify-content: center; - overflow: hidden; - position: fixed; - z-index: 40; } - html.theme--documenter-dark .modal.is-active { - display: flex; } - html.theme--documenter-dark .modal-background { - background-color: rgba(10, 10, 10, 0.86); } - html.theme--documenter-dark .modal-content, - html.theme--documenter-dark .modal-card { - margin: 0 20px; - max-height: calc(100vh - 160px); - overflow: auto; - position: relative; - width: 100%; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .modal-content, - html.theme--documenter-dark .modal-card { - margin: 0 auto; - max-height: calc(100vh - 40px); - width: 640px; } } - html.theme--documenter-dark .modal-close { - background: none; - height: 40px; - position: fixed; - right: 20px; - top: 20px; - width: 40px; } - html.theme--documenter-dark .modal-card { - display: flex; - flex-direction: column; - max-height: calc(100vh - 40px); - overflow: hidden; - -ms-overflow-y: visible; } - html.theme--documenter-dark .modal-card-head, - html.theme--documenter-dark .modal-card-foot { - align-items: center; - background-color: #282f2f; - display: flex; - flex-shrink: 0; - justify-content: flex-start; - padding: 20px; - position: relative; } - html.theme--documenter-dark .modal-card-head { - border-bottom: 1px solid #5e6d6f; - border-top-left-radius: 8px; - border-top-right-radius: 8px; } - html.theme--documenter-dark .modal-card-title { - color: #f2f2f2; - flex-grow: 1; - flex-shrink: 0; - font-size: 1.5rem; - line-height: 1; } - html.theme--documenter-dark .modal-card-foot { - border-bottom-left-radius: 8px; - border-bottom-right-radius: 8px; - border-top: 1px solid #5e6d6f; } - html.theme--documenter-dark .modal-card-foot .button:not(:last-child) { - margin-right: 0.5em; } - html.theme--documenter-dark .modal-card-body { - -webkit-overflow-scrolling: touch; - background-color: white; - flex-grow: 1; - flex-shrink: 1; - overflow: auto; - padding: 20px; } - html.theme--documenter-dark .navbar { - background-color: #375a7f; - min-height: 4rem; - position: relative; - z-index: 30; } - html.theme--documenter-dark .navbar.is-white { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link { - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-brand .navbar-link::after { - border-color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-burger { - color: #0a0a0a; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-white .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-white .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link { - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-white .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-white .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-white .navbar-end .navbar-link::after { - border-color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #f2f2f2; - color: #0a0a0a; } - html.theme--documenter-dark .navbar.is-white .navbar-dropdown a.navbar-item.is-active { - background-color: white; - color: #0a0a0a; } } - html.theme--documenter-dark .navbar.is-black { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link { - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link.is-active { - background-color: black; - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-brand .navbar-link::after { - border-color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-burger { - color: white; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-black .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-black .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link { - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-black .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-black .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link.is-active { - background-color: black; - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-black .navbar-end .navbar-link::after { - border-color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link { - background-color: black; - color: white; } - html.theme--documenter-dark .navbar.is-black .navbar-dropdown a.navbar-item.is-active { - background-color: #0a0a0a; - color: white; } } - html.theme--documenter-dark .navbar.is-light { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link { - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link.is-active { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-brand .navbar-link::after { - border-color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-burger { - color: #282f2f; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-light .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-light .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link { - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-light .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-light .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link.is-active { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-light .navbar-end .navbar-link::after { - border-color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .navbar.is-light .navbar-dropdown a.navbar-item.is-active { - background-color: #ecf0f1; - color: #282f2f; } } - html.theme--documenter-dark .navbar.is-dark, html.theme--documenter-dark .content kbd.navbar { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-brand > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link { - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link.is-active, - html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link.is-active { - background-color: #1d2122; - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-brand .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-brand .navbar-link::after { - border-color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-burger, html.theme--documenter-dark .content kbd.navbar .navbar-burger { - color: #ecf0f1; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-dark .navbar-start > .navbar-item, html.theme--documenter-dark .content kbd.navbar .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-dark .navbar-end > .navbar-item, - html.theme--documenter-dark .content kbd.navbar .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link { - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-dark .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:focus, - html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link:hover, - html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-dark .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .content kbd.navbar .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:focus, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link:hover, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link.is-active, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link.is-active { - background-color: #1d2122; - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-start .navbar-link::after, html.theme--documenter-dark .content kbd.navbar .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-dark .navbar-end .navbar-link::after, - html.theme--documenter-dark .content kbd.navbar .navbar-end .navbar-link::after { - border-color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link, - html.theme--documenter-dark .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #1d2122; - color: #ecf0f1; } - html.theme--documenter-dark .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .content kbd.navbar .navbar-dropdown a.navbar-item.is-active { - background-color: #282f2f; - color: #ecf0f1; } } - html.theme--documenter-dark .navbar.is-primary, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-brand > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-brand > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link.is-active, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active { - background-color: #2f4d6d; - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-brand .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-burger, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-primary .navbar-start > .navbar-item, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-primary .navbar-end > .navbar-item, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-primary .navbar-start > a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:focus, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link:hover, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-primary .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:focus, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link:hover, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link.is-active, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active { - background-color: #2f4d6d; - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-start .navbar-link::after, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-primary .navbar-end .navbar-link::after, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link, - html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #2f4d6d; - color: #fff; } - html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { - background-color: #375a7f; - color: #fff; } } - html.theme--documenter-dark .navbar.is-link { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link.is-active { - background-color: #17a689; - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-link .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-link .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-link .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-link .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link.is-active { - background-color: #17a689; - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-link .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #17a689; - color: #fff; } - html.theme--documenter-dark .navbar.is-link .navbar-dropdown a.navbar-item.is-active { - background-color: #1abc9c; - color: #fff; } } - html.theme--documenter-dark .navbar.is-info { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link.is-active { - background-color: #023d64; - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-info .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-info .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-info .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-info .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link.is-active { - background-color: #023d64; - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-info .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #023d64; - color: #fff; } - html.theme--documenter-dark .navbar.is-info .navbar-dropdown a.navbar-item.is-active { - background-color: #024c7d; - color: #fff; } } - html.theme--documenter-dark .navbar.is-success { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link.is-active { - background-color: #006b2d; - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-success .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-success .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-success .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-success .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link.is-active { - background-color: #006b2d; - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-success .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #006b2d; - color: #fff; } - html.theme--documenter-dark .navbar.is-success .navbar-dropdown a.navbar-item.is-active { - background-color: #008438; - color: #fff; } } - html.theme--documenter-dark .navbar.is-warning { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link.is-active { - background-color: #946e00; - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-warning .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-warning .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-warning .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-warning .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link.is-active { - background-color: #946e00; - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-warning .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #946e00; - color: #fff; } - html.theme--documenter-dark .navbar.is-warning .navbar-dropdown a.navbar-item.is-active { - background-color: #ad8100; - color: #fff; } } - html.theme--documenter-dark .navbar.is-danger { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-brand > .navbar-item, - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-brand > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:focus, - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link:hover, - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link.is-active { - background-color: #86170b; - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-brand .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar.is-danger .navbar-start > .navbar-item, - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link, - html.theme--documenter-dark .navbar.is-danger .navbar-end > .navbar-item, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link { - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:focus, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item:hover, html.theme--documenter-dark .navbar.is-danger .navbar-start > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:focus, - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link:hover, - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link.is-active, - html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:focus, - html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item:hover, - html.theme--documenter-dark .navbar.is-danger .navbar-end > a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:focus, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link:hover, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link.is-active { - background-color: #86170b; - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-start .navbar-link::after, - html.theme--documenter-dark .navbar.is-danger .navbar-end .navbar-link::after { - border-color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link, - html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link, - html.theme--documenter-dark .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #86170b; - color: #fff; } - html.theme--documenter-dark .navbar.is-danger .navbar-dropdown a.navbar-item.is-active { - background-color: #9e1b0d; - color: #fff; } } - html.theme--documenter-dark .navbar > .container { - align-items: stretch; - display: flex; - min-height: 4rem; - width: 100%; } - html.theme--documenter-dark .navbar.has-shadow { - box-shadow: 0 2px 0 0 #282f2f; } - html.theme--documenter-dark .navbar.is-fixed-bottom, html.theme--documenter-dark .navbar.is-fixed-top { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - html.theme--documenter-dark .navbar.is-fixed-bottom { - bottom: 0; } - html.theme--documenter-dark .navbar.is-fixed-bottom.has-shadow { - box-shadow: 0 -2px 0 0 #282f2f; } - html.theme--documenter-dark .navbar.is-fixed-top { - top: 0; } - html.theme--documenter-dark html.has-navbar-fixed-top, - html.theme--documenter-dark body.has-navbar-fixed-top { - padding-top: 4rem; } - html.theme--documenter-dark html.has-navbar-fixed-bottom, - html.theme--documenter-dark body.has-navbar-fixed-bottom { - padding-bottom: 4rem; } - html.theme--documenter-dark .navbar-brand, - html.theme--documenter-dark .navbar-tabs { - align-items: stretch; - display: flex; - flex-shrink: 0; - min-height: 4rem; } - html.theme--documenter-dark .navbar-brand a.navbar-item:focus, html.theme--documenter-dark .navbar-brand a.navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .navbar-tabs { - -webkit-overflow-scrolling: touch; - max-width: 100vw; - overflow-x: auto; - overflow-y: hidden; } - html.theme--documenter-dark .navbar-burger { - color: #fff; - cursor: pointer; - display: block; - height: 4rem; - position: relative; - width: 4rem; - margin-left: auto; } - html.theme--documenter-dark .navbar-burger span { - background-color: currentColor; - display: block; - height: 1px; - left: calc(50% - 8px); - position: absolute; - transform-origin: center; - transition-duration: 86ms; - transition-property: background-color, opacity, transform; - transition-timing-function: ease-out; - width: 16px; } - html.theme--documenter-dark .navbar-burger span:nth-child(1) { - top: calc(50% - 6px); } - html.theme--documenter-dark .navbar-burger span:nth-child(2) { - top: calc(50% - 1px); } - html.theme--documenter-dark .navbar-burger span:nth-child(3) { - top: calc(50% + 4px); } - html.theme--documenter-dark .navbar-burger:hover { - background-color: rgba(0, 0, 0, 0.05); } - html.theme--documenter-dark .navbar-burger.is-active span:nth-child(1) { - transform: translateY(5px) rotate(45deg); } - html.theme--documenter-dark .navbar-burger.is-active span:nth-child(2) { - opacity: 0; } - html.theme--documenter-dark .navbar-burger.is-active span:nth-child(3) { - transform: translateY(-5px) rotate(-45deg); } - html.theme--documenter-dark .navbar-menu { - display: none; } - html.theme--documenter-dark .navbar-item, - html.theme--documenter-dark .navbar-link { - color: #fff; - display: block; - line-height: 1.5; - padding: 0.5rem 0.75rem; - position: relative; } - html.theme--documenter-dark .navbar-item .icon:only-child, - html.theme--documenter-dark .navbar-link .icon:only-child { - margin-left: -0.25rem; - margin-right: -0.25rem; } - html.theme--documenter-dark a.navbar-item, - html.theme--documenter-dark .navbar-link { - cursor: pointer; } - html.theme--documenter-dark a.navbar-item:focus, html.theme--documenter-dark a.navbar-item:focus-within, html.theme--documenter-dark a.navbar-item:hover, html.theme--documenter-dark a.navbar-item.is-active, - html.theme--documenter-dark .navbar-link:focus, - html.theme--documenter-dark .navbar-link:focus-within, - html.theme--documenter-dark .navbar-link:hover, - html.theme--documenter-dark .navbar-link.is-active { - background-color: transparent; - color: #1abc9c; } - html.theme--documenter-dark .navbar-item { - display: block; - flex-grow: 0; - flex-shrink: 0; } - html.theme--documenter-dark .navbar-item img { - max-height: 1.75rem; } - html.theme--documenter-dark .navbar-item.has-dropdown { - padding: 0; } - html.theme--documenter-dark .navbar-item.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .navbar-item.is-tab { - border-bottom: 1px solid transparent; - min-height: 4rem; - padding-bottom: calc(0.5rem - 1px); } - html.theme--documenter-dark .navbar-item.is-tab:focus, html.theme--documenter-dark .navbar-item.is-tab:hover { - background-color: transparent; - border-bottom-color: #1abc9c; } - html.theme--documenter-dark .navbar-item.is-tab.is-active { - background-color: transparent; - border-bottom-color: #1abc9c; - border-bottom-style: solid; - border-bottom-width: 3px; - color: #1abc9c; - padding-bottom: calc(0.5rem - 3px); } - html.theme--documenter-dark .navbar-content { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .navbar-link:not(.is-arrowless) { - padding-right: 2.5em; } - html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after { - border-color: #fff; - margin-top: -0.375em; - right: 1.125em; } - html.theme--documenter-dark .navbar-dropdown { - font-size: 0.875rem; - padding-bottom: 0.5rem; - padding-top: 0.5rem; } - html.theme--documenter-dark .navbar-dropdown .navbar-item { - padding-left: 1.5rem; - padding-right: 1.5rem; } - html.theme--documenter-dark .navbar-divider { - background-color: rgba(0, 0, 0, 0.2); - border: none; - display: none; - height: 2px; - margin: 0.5rem 0; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .navbar > .container { - display: block; } - html.theme--documenter-dark .navbar-brand .navbar-item, - html.theme--documenter-dark .navbar-tabs .navbar-item { - align-items: center; - display: flex; } - html.theme--documenter-dark .navbar-link::after { - display: none; } - html.theme--documenter-dark .navbar-menu { - background-color: #375a7f; - box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1); - padding: 0.5rem 0; } - html.theme--documenter-dark .navbar-menu.is-active { - display: block; } - html.theme--documenter-dark .navbar.is-fixed-bottom-touch, html.theme--documenter-dark .navbar.is-fixed-top-touch { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - html.theme--documenter-dark .navbar.is-fixed-bottom-touch { - bottom: 0; } - html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow { - box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .navbar.is-fixed-top-touch { - top: 0; } - html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu, html.theme--documenter-dark .navbar.is-fixed-top-touch .navbar-menu { - -webkit-overflow-scrolling: touch; - max-height: calc(100vh - 4rem); - overflow: auto; } - html.theme--documenter-dark html.has-navbar-fixed-top-touch, - html.theme--documenter-dark body.has-navbar-fixed-top-touch { - padding-top: 4rem; } - html.theme--documenter-dark html.has-navbar-fixed-bottom-touch, - html.theme--documenter-dark body.has-navbar-fixed-bottom-touch { - padding-bottom: 4rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .navbar, - html.theme--documenter-dark .navbar-menu, - html.theme--documenter-dark .navbar-start, - html.theme--documenter-dark .navbar-end { - align-items: stretch; - display: flex; } - html.theme--documenter-dark .navbar { - min-height: 4rem; } - html.theme--documenter-dark .navbar.is-spaced { - padding: 1rem 2rem; } - html.theme--documenter-dark .navbar.is-spaced .navbar-start, - html.theme--documenter-dark .navbar.is-spaced .navbar-end { - align-items: center; } - html.theme--documenter-dark .navbar.is-spaced a.navbar-item, - html.theme--documenter-dark .navbar.is-spaced .navbar-link { - border-radius: 0.4em; } - html.theme--documenter-dark .navbar.is-transparent a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent a.navbar-item:hover, html.theme--documenter-dark .navbar.is-transparent a.navbar-item.is-active, - html.theme--documenter-dark .navbar.is-transparent .navbar-link:focus, - html.theme--documenter-dark .navbar.is-transparent .navbar-link:hover, - html.theme--documenter-dark .navbar.is-transparent .navbar-link.is-active { - background-color: transparent !important; } - html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, html.theme--documenter-dark .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link { - background-color: transparent !important; } - html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item:hover { - background-color: transparent; - color: #dbdee0; } - html.theme--documenter-dark .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active { - background-color: transparent; - color: #1abc9c; } - html.theme--documenter-dark .navbar-burger { - display: none; } - html.theme--documenter-dark .navbar-item, - html.theme--documenter-dark .navbar-link { - align-items: center; - display: flex; } - html.theme--documenter-dark .navbar-item { - display: flex; } - html.theme--documenter-dark .navbar-item.has-dropdown { - align-items: stretch; } - html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-link::after { - transform: rotate(135deg) translate(0.25em, -0.25em); } - html.theme--documenter-dark .navbar-item.has-dropdown-up .navbar-dropdown { - border-bottom: 1px solid rgba(0, 0, 0, 0.2); - border-radius: 8px 8px 0 0; - border-top: none; - bottom: 100%; - box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1); - top: auto; } - html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown { - display: block; } - .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown, html.theme--documenter-dark .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed { - opacity: 1; - pointer-events: auto; - transform: translateY(0); } - html.theme--documenter-dark .navbar-menu { - flex-grow: 1; - flex-shrink: 0; } - html.theme--documenter-dark .navbar-start { - justify-content: flex-start; - margin-right: auto; } - html.theme--documenter-dark .navbar-end { - justify-content: flex-end; - margin-left: auto; } - html.theme--documenter-dark .navbar-dropdown { - background-color: #375a7f; - border-bottom-left-radius: 8px; - border-bottom-right-radius: 8px; - border-top: 1px solid rgba(0, 0, 0, 0.2); - box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1); - display: none; - font-size: 0.875rem; - left: 0; - min-width: 100%; - position: absolute; - top: 100%; - z-index: 20; } - html.theme--documenter-dark .navbar-dropdown .navbar-item { - padding: 0.375rem 1rem; - white-space: nowrap; } - html.theme--documenter-dark .navbar-dropdown a.navbar-item { - padding-right: 3rem; } - html.theme--documenter-dark .navbar-dropdown a.navbar-item:focus, html.theme--documenter-dark .navbar-dropdown a.navbar-item:hover { - background-color: transparent; - color: #dbdee0; } - html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active { - background-color: transparent; - color: #1abc9c; } - .navbar.is-spaced html.theme--documenter-dark .navbar-dropdown, html.theme--documenter-dark .navbar-dropdown.is-boxed { - border-radius: 8px; - border-top: none; - box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - display: block; - opacity: 0; - pointer-events: none; - top: calc(100% + (-4px)); - transform: translateY(-5px); - transition-duration: 86ms; - transition-property: opacity, transform; } - html.theme--documenter-dark .navbar-dropdown.is-right { - left: auto; - right: 0; } - html.theme--documenter-dark .navbar-divider { - display: block; } - html.theme--documenter-dark .navbar > .container .navbar-brand, - html.theme--documenter-dark .container > .navbar .navbar-brand { - margin-left: -.75rem; } - html.theme--documenter-dark .navbar > .container .navbar-menu, - html.theme--documenter-dark .container > .navbar .navbar-menu { - margin-right: -.75rem; } - html.theme--documenter-dark .navbar.is-fixed-bottom-desktop, html.theme--documenter-dark .navbar.is-fixed-top-desktop { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - html.theme--documenter-dark .navbar.is-fixed-bottom-desktop { - bottom: 0; } - html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow { - box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .navbar.is-fixed-top-desktop { - top: 0; } - html.theme--documenter-dark html.has-navbar-fixed-top-desktop, - html.theme--documenter-dark body.has-navbar-fixed-top-desktop { - padding-top: 4rem; } - html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop, - html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop { - padding-bottom: 4rem; } - html.theme--documenter-dark html.has-spaced-navbar-fixed-top, - html.theme--documenter-dark body.has-spaced-navbar-fixed-top { - padding-top: 6rem; } - html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom, - html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom { - padding-bottom: 6rem; } - html.theme--documenter-dark a.navbar-item.is-active, - html.theme--documenter-dark .navbar-link.is-active { - color: #1abc9c; } - html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover), - html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover) { - background-color: transparent; } - html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link, html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link { - background-color: transparent; } } - html.theme--documenter-dark .hero.is-fullheight-with-navbar { - min-height: calc(100vh - 4rem); } - html.theme--documenter-dark .pagination { - font-size: 15px; - margin: -0.25rem; } - html.theme--documenter-dark .pagination.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination { - font-size: 0.85em; } - html.theme--documenter-dark .pagination.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .pagination.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .pagination.is-rounded .pagination-previous, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous, - html.theme--documenter-dark .pagination.is-rounded .pagination-next, - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next { - padding-left: 1em; - padding-right: 1em; - border-radius: 290486px; } - html.theme--documenter-dark .pagination.is-rounded .pagination-link, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link { - border-radius: 290486px; } - html.theme--documenter-dark .pagination, - html.theme--documenter-dark .pagination-list { - align-items: center; - display: flex; - justify-content: center; - text-align: center; } - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark .pagination-link, - html.theme--documenter-dark .pagination-ellipsis { - font-size: 1em; - justify-content: center; - margin: 0.25rem; - padding-left: 0.5em; - padding-right: 0.5em; - text-align: center; } - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark .pagination-link { - border-color: #5e6d6f; - color: #1abc9c; - min-width: 2.25em; } - html.theme--documenter-dark .pagination-previous:hover, - html.theme--documenter-dark .pagination-next:hover, - html.theme--documenter-dark .pagination-link:hover { - border-color: #8c9b9d; - color: #1dd2af; } - html.theme--documenter-dark .pagination-previous:focus, - html.theme--documenter-dark .pagination-next:focus, - html.theme--documenter-dark .pagination-link:focus { - border-color: #8c9b9d; } - html.theme--documenter-dark .pagination-previous:active, - html.theme--documenter-dark .pagination-next:active, - html.theme--documenter-dark .pagination-link:active { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); } - html.theme--documenter-dark .pagination-previous[disabled], - html.theme--documenter-dark .pagination-next[disabled], - html.theme--documenter-dark .pagination-link[disabled] { - background-color: #dbdee0; - border-color: #dbdee0; - box-shadow: none; - color: #5e6d6f; - opacity: 0.5; } - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .pagination-next { - padding-left: 0.75em; - padding-right: 0.75em; - white-space: nowrap; } - html.theme--documenter-dark .pagination-link.is-current { - background-color: #1abc9c; - border-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .pagination-ellipsis { - color: #8c9b9d; - pointer-events: none; } - html.theme--documenter-dark .pagination-list { - flex-wrap: wrap; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .pagination { - flex-wrap: wrap; } - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .pagination-next { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .pagination-list li { - flex-grow: 1; - flex-shrink: 1; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .pagination-list { - flex-grow: 1; - flex-shrink: 1; - justify-content: flex-start; - order: 1; } - html.theme--documenter-dark .pagination-previous { - order: 2; } - html.theme--documenter-dark .pagination-next { - order: 3; } - html.theme--documenter-dark .pagination { - justify-content: space-between; } - html.theme--documenter-dark .pagination.is-centered .pagination-previous { - order: 1; } - html.theme--documenter-dark .pagination.is-centered .pagination-list { - justify-content: center; - order: 2; } - html.theme--documenter-dark .pagination.is-centered .pagination-next { - order: 3; } - html.theme--documenter-dark .pagination.is-right .pagination-previous { - order: 1; } - html.theme--documenter-dark .pagination.is-right .pagination-next { - order: 2; } - html.theme--documenter-dark .pagination.is-right .pagination-list { - justify-content: flex-end; - order: 3; } } - html.theme--documenter-dark .panel { - font-size: 15px; } - html.theme--documenter-dark .panel:not(:last-child) { - margin-bottom: 1.5rem; } - html.theme--documenter-dark .panel-heading, - html.theme--documenter-dark .panel-tabs, - html.theme--documenter-dark .panel-block { - border-bottom: 1px solid #5e6d6f; - border-left: 1px solid #5e6d6f; - border-right: 1px solid #5e6d6f; } - html.theme--documenter-dark .panel-heading:first-child, - html.theme--documenter-dark .panel-tabs:first-child, - html.theme--documenter-dark .panel-block:first-child { - border-top: 1px solid #5e6d6f; } - html.theme--documenter-dark .panel-heading { - background-color: #282f2f; - border-radius: 0.4em 0.4em 0 0; - color: #f2f2f2; - font-size: 1.25em; - font-weight: 300; - line-height: 1.25; - padding: 0.5em 0.75em; } - html.theme--documenter-dark .panel-tabs { - align-items: flex-end; - display: flex; - font-size: 0.875em; - justify-content: center; } - html.theme--documenter-dark .panel-tabs a { - border-bottom: 1px solid #5e6d6f; - margin-bottom: -1px; - padding: 0.5em; } - html.theme--documenter-dark .panel-tabs a.is-active { - border-bottom-color: #343c3d; - color: #17a689; } - html.theme--documenter-dark .panel-list a { - color: #fff; } - html.theme--documenter-dark .panel-list a:hover { - color: #1abc9c; } - html.theme--documenter-dark .panel-block { - align-items: center; - color: #f2f2f2; - display: flex; - justify-content: flex-start; - padding: 0.5em 0.75em; } - html.theme--documenter-dark .panel-block input[type="checkbox"] { - margin-right: 0.75em; } - html.theme--documenter-dark .panel-block > .control { - flex-grow: 1; - flex-shrink: 1; - width: 100%; } - html.theme--documenter-dark .panel-block.is-wrapped { - flex-wrap: wrap; } - html.theme--documenter-dark .panel-block.is-active { - border-left-color: #1abc9c; - color: #17a689; } - html.theme--documenter-dark .panel-block.is-active .panel-icon { - color: #1abc9c; } - html.theme--documenter-dark a.panel-block, - html.theme--documenter-dark label.panel-block { - cursor: pointer; } - html.theme--documenter-dark a.panel-block:hover, - html.theme--documenter-dark label.panel-block:hover { - background-color: #282f2f; } - html.theme--documenter-dark .panel-icon { - display: inline-block; - font-size: 14px; - height: 1em; - line-height: 1em; - text-align: center; - vertical-align: top; - width: 1em; - color: white; - margin-right: 0.75em; } - html.theme--documenter-dark .panel-icon .fa { - font-size: inherit; - line-height: inherit; } - html.theme--documenter-dark .tabs { - -webkit-overflow-scrolling: touch; - align-items: stretch; - display: flex; - font-size: 15px; - justify-content: space-between; - overflow: hidden; - overflow-x: auto; - white-space: nowrap; } - html.theme--documenter-dark .tabs a { - align-items: center; - border-bottom-color: #5e6d6f; - border-bottom-style: solid; - border-bottom-width: 1px; - color: #fff; - display: flex; - justify-content: center; - margin-bottom: -1px; - padding: 0.5em 1em; - vertical-align: top; } - html.theme--documenter-dark .tabs a:hover { - border-bottom-color: #f2f2f2; - color: #f2f2f2; } - html.theme--documenter-dark .tabs li { - display: block; } - html.theme--documenter-dark .tabs li.is-active a { - border-bottom-color: #1abc9c; - color: #1abc9c; } - html.theme--documenter-dark .tabs ul { - align-items: center; - border-bottom-color: #5e6d6f; - border-bottom-style: solid; - border-bottom-width: 1px; - display: flex; - flex-grow: 1; - flex-shrink: 0; - justify-content: flex-start; } - html.theme--documenter-dark .tabs ul.is-left { - padding-right: 0.75em; } - html.theme--documenter-dark .tabs ul.is-center { - flex: none; - justify-content: center; - padding-left: 0.75em; - padding-right: 0.75em; } - html.theme--documenter-dark .tabs ul.is-right { - justify-content: flex-end; - padding-left: 0.75em; } - html.theme--documenter-dark .tabs .icon:first-child { - margin-right: 0.5em; } - html.theme--documenter-dark .tabs .icon:last-child { - margin-left: 0.5em; } - html.theme--documenter-dark .tabs.is-centered ul { - justify-content: center; } - html.theme--documenter-dark .tabs.is-right ul { - justify-content: flex-end; } - html.theme--documenter-dark .tabs.is-boxed a { - border: 1px solid transparent; - border-radius: 0.4em 0.4em 0 0; } - html.theme--documenter-dark .tabs.is-boxed a:hover { - background-color: #282f2f; - border-bottom-color: #5e6d6f; } - html.theme--documenter-dark .tabs.is-boxed li.is-active a { - background-color: white; - border-color: #5e6d6f; - border-bottom-color: transparent !important; } - html.theme--documenter-dark .tabs.is-fullwidth li { - flex-grow: 1; - flex-shrink: 0; } - html.theme--documenter-dark .tabs.is-toggle a { - border-color: #5e6d6f; - border-style: solid; - border-width: 1px; - margin-bottom: 0; - position: relative; } - html.theme--documenter-dark .tabs.is-toggle a:hover { - background-color: #282f2f; - border-color: #8c9b9d; - z-index: 2; } - html.theme--documenter-dark .tabs.is-toggle li + li { - margin-left: -1px; } - html.theme--documenter-dark .tabs.is-toggle li:first-child a { - border-radius: 0.4em 0 0 0.4em; } - html.theme--documenter-dark .tabs.is-toggle li:last-child a { - border-radius: 0 0.4em 0.4em 0; } - html.theme--documenter-dark .tabs.is-toggle li.is-active a { - background-color: #1abc9c; - border-color: #1abc9c; - color: #fff; - z-index: 1; } - html.theme--documenter-dark .tabs.is-toggle ul { - border-bottom: none; } - html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a { - border-bottom-left-radius: 290486px; - border-top-left-radius: 290486px; - padding-left: 1.25em; } - html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a { - border-bottom-right-radius: 290486px; - border-top-right-radius: 290486px; - padding-right: 1.25em; } - html.theme--documenter-dark .tabs.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.tabs { - font-size: 0.85em; } - html.theme--documenter-dark .tabs.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .tabs.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .column { - display: block; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 1; - padding: 0.75rem; } - .columns.is-mobile > html.theme--documenter-dark .column.is-narrow { - flex: none; } - .columns.is-mobile > html.theme--documenter-dark .column.is-full { - flex: none; - width: 100%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-three-quarters { - flex: none; - width: 75%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-two-thirds { - flex: none; - width: 66.6666%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-half { - flex: none; - width: 50%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-one-third { - flex: none; - width: 33.3333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-one-quarter { - flex: none; - width: 25%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-one-fifth { - flex: none; - width: 20%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-two-fifths { - flex: none; - width: 40%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-three-fifths { - flex: none; - width: 60%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-four-fifths { - flex: none; - width: 80%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-quarters { - margin-left: 75%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-thirds { - margin-left: 66.6666%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-half { - margin-left: 50%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-third { - margin-left: 33.3333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-quarter { - margin-left: 25%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-one-fifth { - margin-left: 20%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-two-fifths { - margin-left: 40%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-three-fifths { - margin-left: 60%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-four-fifths { - margin-left: 80%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-0 { - flex: none; - width: 0%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-0 { - margin-left: 0%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-1 { - flex: none; - width: 8.33333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-1 { - margin-left: 8.33333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-2 { - flex: none; - width: 16.66667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-2 { - margin-left: 16.66667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-3 { - flex: none; - width: 25%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-3 { - margin-left: 25%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-4 { - flex: none; - width: 33.33333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-4 { - margin-left: 33.33333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-5 { - flex: none; - width: 41.66667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-5 { - margin-left: 41.66667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-6 { - flex: none; - width: 50%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-6 { - margin-left: 50%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-7 { - flex: none; - width: 58.33333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-7 { - margin-left: 58.33333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-8 { - flex: none; - width: 66.66667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-8 { - margin-left: 66.66667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-9 { - flex: none; - width: 75%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-9 { - margin-left: 75%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-10 { - flex: none; - width: 83.33333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-10 { - margin-left: 83.33333%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-11 { - flex: none; - width: 91.66667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-11 { - margin-left: 91.66667%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-12 { - flex: none; - width: 100%; } - .columns.is-mobile > html.theme--documenter-dark .column.is-offset-12 { - margin-left: 100%; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .column.is-narrow-mobile { - flex: none; } - html.theme--documenter-dark .column.is-full-mobile { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-mobile { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-mobile { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-mobile { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-mobile { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-mobile { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-mobile { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-mobile { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-mobile { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-mobile { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-mobile { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-mobile { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-mobile { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-mobile { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-mobile { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-mobile { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-mobile { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-mobile { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-mobile { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-mobile { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-mobile { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-mobile { - flex: none; - width: 8.33333%; } - html.theme--documenter-dark .column.is-offset-1-mobile { - margin-left: 8.33333%; } - html.theme--documenter-dark .column.is-2-mobile { - flex: none; - width: 16.66667%; } - html.theme--documenter-dark .column.is-offset-2-mobile { - margin-left: 16.66667%; } - html.theme--documenter-dark .column.is-3-mobile { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-mobile { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-mobile { - flex: none; - width: 33.33333%; } - html.theme--documenter-dark .column.is-offset-4-mobile { - margin-left: 33.33333%; } - html.theme--documenter-dark .column.is-5-mobile { - flex: none; - width: 41.66667%; } - html.theme--documenter-dark .column.is-offset-5-mobile { - margin-left: 41.66667%; } - html.theme--documenter-dark .column.is-6-mobile { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-mobile { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-mobile { - flex: none; - width: 58.33333%; } - html.theme--documenter-dark .column.is-offset-7-mobile { - margin-left: 58.33333%; } - html.theme--documenter-dark .column.is-8-mobile { - flex: none; - width: 66.66667%; } - html.theme--documenter-dark .column.is-offset-8-mobile { - margin-left: 66.66667%; } - html.theme--documenter-dark .column.is-9-mobile { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-mobile { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-mobile { - flex: none; - width: 83.33333%; } - html.theme--documenter-dark .column.is-offset-10-mobile { - margin-left: 83.33333%; } - html.theme--documenter-dark .column.is-11-mobile { - flex: none; - width: 91.66667%; } - html.theme--documenter-dark .column.is-offset-11-mobile { - margin-left: 91.66667%; } - html.theme--documenter-dark .column.is-12-mobile { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-mobile { - margin-left: 100%; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .column.is-narrow, html.theme--documenter-dark .column.is-narrow-tablet { - flex: none; } - html.theme--documenter-dark .column.is-full, html.theme--documenter-dark .column.is-full-tablet { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters, html.theme--documenter-dark .column.is-three-quarters-tablet { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds, html.theme--documenter-dark .column.is-two-thirds-tablet { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half, html.theme--documenter-dark .column.is-half-tablet { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third, html.theme--documenter-dark .column.is-one-third-tablet { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter, html.theme--documenter-dark .column.is-one-quarter-tablet { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth, html.theme--documenter-dark .column.is-one-fifth-tablet { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths, html.theme--documenter-dark .column.is-two-fifths-tablet { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths, html.theme--documenter-dark .column.is-three-fifths-tablet { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths, html.theme--documenter-dark .column.is-four-fifths-tablet { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters, html.theme--documenter-dark .column.is-offset-three-quarters-tablet { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds, html.theme--documenter-dark .column.is-offset-two-thirds-tablet { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half, html.theme--documenter-dark .column.is-offset-half-tablet { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third, html.theme--documenter-dark .column.is-offset-one-third-tablet { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter, html.theme--documenter-dark .column.is-offset-one-quarter-tablet { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth, html.theme--documenter-dark .column.is-offset-one-fifth-tablet { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths, html.theme--documenter-dark .column.is-offset-two-fifths-tablet { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths, html.theme--documenter-dark .column.is-offset-three-fifths-tablet { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths, html.theme--documenter-dark .column.is-offset-four-fifths-tablet { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0, html.theme--documenter-dark .column.is-0-tablet { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0, html.theme--documenter-dark .column.is-offset-0-tablet { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1, html.theme--documenter-dark .column.is-1-tablet { - flex: none; - width: 8.33333%; } - html.theme--documenter-dark .column.is-offset-1, html.theme--documenter-dark .column.is-offset-1-tablet { - margin-left: 8.33333%; } - html.theme--documenter-dark .column.is-2, html.theme--documenter-dark .column.is-2-tablet { - flex: none; - width: 16.66667%; } - html.theme--documenter-dark .column.is-offset-2, html.theme--documenter-dark .column.is-offset-2-tablet { - margin-left: 16.66667%; } - html.theme--documenter-dark .column.is-3, html.theme--documenter-dark .column.is-3-tablet { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3, html.theme--documenter-dark .column.is-offset-3-tablet { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4, html.theme--documenter-dark .column.is-4-tablet { - flex: none; - width: 33.33333%; } - html.theme--documenter-dark .column.is-offset-4, html.theme--documenter-dark .column.is-offset-4-tablet { - margin-left: 33.33333%; } - html.theme--documenter-dark .column.is-5, html.theme--documenter-dark .column.is-5-tablet { - flex: none; - width: 41.66667%; } - html.theme--documenter-dark .column.is-offset-5, html.theme--documenter-dark .column.is-offset-5-tablet { - margin-left: 41.66667%; } - html.theme--documenter-dark .column.is-6, html.theme--documenter-dark .column.is-6-tablet { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6, html.theme--documenter-dark .column.is-offset-6-tablet { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7, html.theme--documenter-dark .column.is-7-tablet { - flex: none; - width: 58.33333%; } - html.theme--documenter-dark .column.is-offset-7, html.theme--documenter-dark .column.is-offset-7-tablet { - margin-left: 58.33333%; } - html.theme--documenter-dark .column.is-8, html.theme--documenter-dark .column.is-8-tablet { - flex: none; - width: 66.66667%; } - html.theme--documenter-dark .column.is-offset-8, html.theme--documenter-dark .column.is-offset-8-tablet { - margin-left: 66.66667%; } - html.theme--documenter-dark .column.is-9, html.theme--documenter-dark .column.is-9-tablet { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9, html.theme--documenter-dark .column.is-offset-9-tablet { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10, html.theme--documenter-dark .column.is-10-tablet { - flex: none; - width: 83.33333%; } - html.theme--documenter-dark .column.is-offset-10, html.theme--documenter-dark .column.is-offset-10-tablet { - margin-left: 83.33333%; } - html.theme--documenter-dark .column.is-11, html.theme--documenter-dark .column.is-11-tablet { - flex: none; - width: 91.66667%; } - html.theme--documenter-dark .column.is-offset-11, html.theme--documenter-dark .column.is-offset-11-tablet { - margin-left: 91.66667%; } - html.theme--documenter-dark .column.is-12, html.theme--documenter-dark .column.is-12-tablet { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12, html.theme--documenter-dark .column.is-offset-12-tablet { - margin-left: 100%; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .column.is-narrow-touch { - flex: none; } - html.theme--documenter-dark .column.is-full-touch { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-touch { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-touch { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-touch { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-touch { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-touch { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-touch { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-touch { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-touch { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-touch { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-touch { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-touch { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-touch { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-touch { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-touch { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-touch { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-touch { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-touch { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-touch { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-touch { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-touch { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-touch { - flex: none; - width: 8.33333%; } - html.theme--documenter-dark .column.is-offset-1-touch { - margin-left: 8.33333%; } - html.theme--documenter-dark .column.is-2-touch { - flex: none; - width: 16.66667%; } - html.theme--documenter-dark .column.is-offset-2-touch { - margin-left: 16.66667%; } - html.theme--documenter-dark .column.is-3-touch { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-touch { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-touch { - flex: none; - width: 33.33333%; } - html.theme--documenter-dark .column.is-offset-4-touch { - margin-left: 33.33333%; } - html.theme--documenter-dark .column.is-5-touch { - flex: none; - width: 41.66667%; } - html.theme--documenter-dark .column.is-offset-5-touch { - margin-left: 41.66667%; } - html.theme--documenter-dark .column.is-6-touch { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-touch { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-touch { - flex: none; - width: 58.33333%; } - html.theme--documenter-dark .column.is-offset-7-touch { - margin-left: 58.33333%; } - html.theme--documenter-dark .column.is-8-touch { - flex: none; - width: 66.66667%; } - html.theme--documenter-dark .column.is-offset-8-touch { - margin-left: 66.66667%; } - html.theme--documenter-dark .column.is-9-touch { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-touch { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-touch { - flex: none; - width: 83.33333%; } - html.theme--documenter-dark .column.is-offset-10-touch { - margin-left: 83.33333%; } - html.theme--documenter-dark .column.is-11-touch { - flex: none; - width: 91.66667%; } - html.theme--documenter-dark .column.is-offset-11-touch { - margin-left: 91.66667%; } - html.theme--documenter-dark .column.is-12-touch { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-touch { - margin-left: 100%; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .column.is-narrow-desktop { - flex: none; } - html.theme--documenter-dark .column.is-full-desktop { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-desktop { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-desktop { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-desktop { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-desktop { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-desktop { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-desktop { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-desktop { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-desktop { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-desktop { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-desktop { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-desktop { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-desktop { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-desktop { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-desktop { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-desktop { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-desktop { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-desktop { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-desktop { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-desktop { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-desktop { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-desktop { - flex: none; - width: 8.33333%; } - html.theme--documenter-dark .column.is-offset-1-desktop { - margin-left: 8.33333%; } - html.theme--documenter-dark .column.is-2-desktop { - flex: none; - width: 16.66667%; } - html.theme--documenter-dark .column.is-offset-2-desktop { - margin-left: 16.66667%; } - html.theme--documenter-dark .column.is-3-desktop { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-desktop { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-desktop { - flex: none; - width: 33.33333%; } - html.theme--documenter-dark .column.is-offset-4-desktop { - margin-left: 33.33333%; } - html.theme--documenter-dark .column.is-5-desktop { - flex: none; - width: 41.66667%; } - html.theme--documenter-dark .column.is-offset-5-desktop { - margin-left: 41.66667%; } - html.theme--documenter-dark .column.is-6-desktop { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-desktop { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-desktop { - flex: none; - width: 58.33333%; } - html.theme--documenter-dark .column.is-offset-7-desktop { - margin-left: 58.33333%; } - html.theme--documenter-dark .column.is-8-desktop { - flex: none; - width: 66.66667%; } - html.theme--documenter-dark .column.is-offset-8-desktop { - margin-left: 66.66667%; } - html.theme--documenter-dark .column.is-9-desktop { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-desktop { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-desktop { - flex: none; - width: 83.33333%; } - html.theme--documenter-dark .column.is-offset-10-desktop { - margin-left: 83.33333%; } - html.theme--documenter-dark .column.is-11-desktop { - flex: none; - width: 91.66667%; } - html.theme--documenter-dark .column.is-offset-11-desktop { - margin-left: 91.66667%; } - html.theme--documenter-dark .column.is-12-desktop { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-desktop { - margin-left: 100%; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .column.is-narrow-widescreen { - flex: none; } - html.theme--documenter-dark .column.is-full-widescreen { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-widescreen { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-widescreen { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-widescreen { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-widescreen { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-widescreen { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-widescreen { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-widescreen { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-widescreen { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-widescreen { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-widescreen { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-widescreen { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-widescreen { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-widescreen { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-widescreen { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-widescreen { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-widescreen { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-widescreen { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-widescreen { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-widescreen { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-widescreen { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-widescreen { - flex: none; - width: 8.33333%; } - html.theme--documenter-dark .column.is-offset-1-widescreen { - margin-left: 8.33333%; } - html.theme--documenter-dark .column.is-2-widescreen { - flex: none; - width: 16.66667%; } - html.theme--documenter-dark .column.is-offset-2-widescreen { - margin-left: 16.66667%; } - html.theme--documenter-dark .column.is-3-widescreen { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-widescreen { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-widescreen { - flex: none; - width: 33.33333%; } - html.theme--documenter-dark .column.is-offset-4-widescreen { - margin-left: 33.33333%; } - html.theme--documenter-dark .column.is-5-widescreen { - flex: none; - width: 41.66667%; } - html.theme--documenter-dark .column.is-offset-5-widescreen { - margin-left: 41.66667%; } - html.theme--documenter-dark .column.is-6-widescreen { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-widescreen { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-widescreen { - flex: none; - width: 58.33333%; } - html.theme--documenter-dark .column.is-offset-7-widescreen { - margin-left: 58.33333%; } - html.theme--documenter-dark .column.is-8-widescreen { - flex: none; - width: 66.66667%; } - html.theme--documenter-dark .column.is-offset-8-widescreen { - margin-left: 66.66667%; } - html.theme--documenter-dark .column.is-9-widescreen { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-widescreen { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-widescreen { - flex: none; - width: 83.33333%; } - html.theme--documenter-dark .column.is-offset-10-widescreen { - margin-left: 83.33333%; } - html.theme--documenter-dark .column.is-11-widescreen { - flex: none; - width: 91.66667%; } - html.theme--documenter-dark .column.is-offset-11-widescreen { - margin-left: 91.66667%; } - html.theme--documenter-dark .column.is-12-widescreen { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-widescreen { - margin-left: 100%; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .column.is-narrow-fullhd { - flex: none; } - html.theme--documenter-dark .column.is-full-fullhd { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-three-quarters-fullhd { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-two-thirds-fullhd { - flex: none; - width: 66.6666%; } - html.theme--documenter-dark .column.is-half-fullhd { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-one-third-fullhd { - flex: none; - width: 33.3333%; } - html.theme--documenter-dark .column.is-one-quarter-fullhd { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-one-fifth-fullhd { - flex: none; - width: 20%; } - html.theme--documenter-dark .column.is-two-fifths-fullhd { - flex: none; - width: 40%; } - html.theme--documenter-dark .column.is-three-fifths-fullhd { - flex: none; - width: 60%; } - html.theme--documenter-dark .column.is-four-fifths-fullhd { - flex: none; - width: 80%; } - html.theme--documenter-dark .column.is-offset-three-quarters-fullhd { - margin-left: 75%; } - html.theme--documenter-dark .column.is-offset-two-thirds-fullhd { - margin-left: 66.6666%; } - html.theme--documenter-dark .column.is-offset-half-fullhd { - margin-left: 50%; } - html.theme--documenter-dark .column.is-offset-one-third-fullhd { - margin-left: 33.3333%; } - html.theme--documenter-dark .column.is-offset-one-quarter-fullhd { - margin-left: 25%; } - html.theme--documenter-dark .column.is-offset-one-fifth-fullhd { - margin-left: 20%; } - html.theme--documenter-dark .column.is-offset-two-fifths-fullhd { - margin-left: 40%; } - html.theme--documenter-dark .column.is-offset-three-fifths-fullhd { - margin-left: 60%; } - html.theme--documenter-dark .column.is-offset-four-fifths-fullhd { - margin-left: 80%; } - html.theme--documenter-dark .column.is-0-fullhd { - flex: none; - width: 0%; } - html.theme--documenter-dark .column.is-offset-0-fullhd { - margin-left: 0%; } - html.theme--documenter-dark .column.is-1-fullhd { - flex: none; - width: 8.33333%; } - html.theme--documenter-dark .column.is-offset-1-fullhd { - margin-left: 8.33333%; } - html.theme--documenter-dark .column.is-2-fullhd { - flex: none; - width: 16.66667%; } - html.theme--documenter-dark .column.is-offset-2-fullhd { - margin-left: 16.66667%; } - html.theme--documenter-dark .column.is-3-fullhd { - flex: none; - width: 25%; } - html.theme--documenter-dark .column.is-offset-3-fullhd { - margin-left: 25%; } - html.theme--documenter-dark .column.is-4-fullhd { - flex: none; - width: 33.33333%; } - html.theme--documenter-dark .column.is-offset-4-fullhd { - margin-left: 33.33333%; } - html.theme--documenter-dark .column.is-5-fullhd { - flex: none; - width: 41.66667%; } - html.theme--documenter-dark .column.is-offset-5-fullhd { - margin-left: 41.66667%; } - html.theme--documenter-dark .column.is-6-fullhd { - flex: none; - width: 50%; } - html.theme--documenter-dark .column.is-offset-6-fullhd { - margin-left: 50%; } - html.theme--documenter-dark .column.is-7-fullhd { - flex: none; - width: 58.33333%; } - html.theme--documenter-dark .column.is-offset-7-fullhd { - margin-left: 58.33333%; } - html.theme--documenter-dark .column.is-8-fullhd { - flex: none; - width: 66.66667%; } - html.theme--documenter-dark .column.is-offset-8-fullhd { - margin-left: 66.66667%; } - html.theme--documenter-dark .column.is-9-fullhd { - flex: none; - width: 75%; } - html.theme--documenter-dark .column.is-offset-9-fullhd { - margin-left: 75%; } - html.theme--documenter-dark .column.is-10-fullhd { - flex: none; - width: 83.33333%; } - html.theme--documenter-dark .column.is-offset-10-fullhd { - margin-left: 83.33333%; } - html.theme--documenter-dark .column.is-11-fullhd { - flex: none; - width: 91.66667%; } - html.theme--documenter-dark .column.is-offset-11-fullhd { - margin-left: 91.66667%; } - html.theme--documenter-dark .column.is-12-fullhd { - flex: none; - width: 100%; } - html.theme--documenter-dark .column.is-offset-12-fullhd { - margin-left: 100%; } } - html.theme--documenter-dark .columns { - margin-left: -0.75rem; - margin-right: -0.75rem; - margin-top: -0.75rem; } - html.theme--documenter-dark .columns:last-child { - margin-bottom: -0.75rem; } - html.theme--documenter-dark .columns:not(:last-child) { - margin-bottom: calc(1.5rem - 0.75rem); } - html.theme--documenter-dark .columns.is-centered { - justify-content: center; } - html.theme--documenter-dark .columns.is-gapless { - margin-left: 0; - margin-right: 0; - margin-top: 0; } - html.theme--documenter-dark .columns.is-gapless > .column { - margin: 0; - padding: 0 !important; } - html.theme--documenter-dark .columns.is-gapless:not(:last-child) { - margin-bottom: 1.5rem; } - html.theme--documenter-dark .columns.is-gapless:last-child { - margin-bottom: 0; } - html.theme--documenter-dark .columns.is-mobile { - display: flex; } - html.theme--documenter-dark .columns.is-multiline { - flex-wrap: wrap; } - html.theme--documenter-dark .columns.is-vcentered { - align-items: center; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns:not(.is-desktop) { - display: flex; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-desktop { - display: flex; } } - html.theme--documenter-dark .columns.is-variable { - --columnGap: 0.75rem; - margin-left: calc(-1 * var(--columnGap)); - margin-right: calc(-1 * var(--columnGap)); } - html.theme--documenter-dark .columns.is-variable .column { - padding-left: var(--columnGap); - padding-right: var(--columnGap); } - html.theme--documenter-dark .columns.is-variable.is-0 { - --columnGap: 0rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-0-mobile { - --columnGap: 0rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-0-tablet { - --columnGap: 0rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-0-tablet-only { - --columnGap: 0rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-0-touch { - --columnGap: 0rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-0-desktop { - --columnGap: 0rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-0-desktop-only { - --columnGap: 0rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-0-widescreen { - --columnGap: 0rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-0-widescreen-only { - --columnGap: 0rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-0-fullhd { - --columnGap: 0rem; } } - html.theme--documenter-dark .columns.is-variable.is-1 { - --columnGap: 0.25rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-1-mobile { - --columnGap: 0.25rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-1-tablet { - --columnGap: 0.25rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-1-tablet-only { - --columnGap: 0.25rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-1-touch { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-1-desktop { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-1-desktop-only { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-1-widescreen { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-1-widescreen-only { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-1-fullhd { - --columnGap: 0.25rem; } } - html.theme--documenter-dark .columns.is-variable.is-2 { - --columnGap: 0.5rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-2-mobile { - --columnGap: 0.5rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-2-tablet { - --columnGap: 0.5rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-2-tablet-only { - --columnGap: 0.5rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-2-touch { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-2-desktop { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-2-desktop-only { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-2-widescreen { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-2-widescreen-only { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-2-fullhd { - --columnGap: 0.5rem; } } - html.theme--documenter-dark .columns.is-variable.is-3 { - --columnGap: 0.75rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-3-mobile { - --columnGap: 0.75rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-3-tablet { - --columnGap: 0.75rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-3-tablet-only { - --columnGap: 0.75rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-3-touch { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-3-desktop { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-3-desktop-only { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-3-widescreen { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-3-widescreen-only { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-3-fullhd { - --columnGap: 0.75rem; } } - html.theme--documenter-dark .columns.is-variable.is-4 { - --columnGap: 1rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-4-mobile { - --columnGap: 1rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-4-tablet { - --columnGap: 1rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-4-tablet-only { - --columnGap: 1rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-4-touch { - --columnGap: 1rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-4-desktop { - --columnGap: 1rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-4-desktop-only { - --columnGap: 1rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-4-widescreen { - --columnGap: 1rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-4-widescreen-only { - --columnGap: 1rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-4-fullhd { - --columnGap: 1rem; } } - html.theme--documenter-dark .columns.is-variable.is-5 { - --columnGap: 1.25rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-5-mobile { - --columnGap: 1.25rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-5-tablet { - --columnGap: 1.25rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-5-tablet-only { - --columnGap: 1.25rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-5-touch { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-5-desktop { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-5-desktop-only { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-5-widescreen { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-5-widescreen-only { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-5-fullhd { - --columnGap: 1.25rem; } } - html.theme--documenter-dark .columns.is-variable.is-6 { - --columnGap: 1.5rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-6-mobile { - --columnGap: 1.5rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-6-tablet { - --columnGap: 1.5rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-6-tablet-only { - --columnGap: 1.5rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-6-touch { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-6-desktop { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-6-desktop-only { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-6-widescreen { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-6-widescreen-only { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-6-fullhd { - --columnGap: 1.5rem; } } - html.theme--documenter-dark .columns.is-variable.is-7 { - --columnGap: 1.75rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-7-mobile { - --columnGap: 1.75rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-7-tablet { - --columnGap: 1.75rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-7-tablet-only { - --columnGap: 1.75rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-7-touch { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-7-desktop { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-7-desktop-only { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-7-widescreen { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-7-widescreen-only { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-7-fullhd { - --columnGap: 1.75rem; } } - html.theme--documenter-dark .columns.is-variable.is-8 { - --columnGap: 2rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .columns.is-variable.is-8-mobile { - --columnGap: 2rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .columns.is-variable.is-8-tablet { - --columnGap: 2rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-8-tablet-only { - --columnGap: 2rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .columns.is-variable.is-8-touch { - --columnGap: 2rem; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .columns.is-variable.is-8-desktop { - --columnGap: 2rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - html.theme--documenter-dark .columns.is-variable.is-8-desktop-only { - --columnGap: 2rem; } } - @media screen and (min-width: 1216px) { - html.theme--documenter-dark .columns.is-variable.is-8-widescreen { - --columnGap: 2rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - html.theme--documenter-dark .columns.is-variable.is-8-widescreen-only { - --columnGap: 2rem; } } - @media screen and (min-width: 1408px) { - html.theme--documenter-dark .columns.is-variable.is-8-fullhd { - --columnGap: 2rem; } } - html.theme--documenter-dark .tile { - align-items: stretch; - display: block; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 1; - min-height: min-content; } - html.theme--documenter-dark .tile.is-ancestor { - margin-left: -0.75rem; - margin-right: -0.75rem; - margin-top: -0.75rem; } - html.theme--documenter-dark .tile.is-ancestor:last-child { - margin-bottom: -0.75rem; } - html.theme--documenter-dark .tile.is-ancestor:not(:last-child) { - margin-bottom: 0.75rem; } - html.theme--documenter-dark .tile.is-child { - margin: 0 !important; } - html.theme--documenter-dark .tile.is-parent { - padding: 0.75rem; } - html.theme--documenter-dark .tile.is-vertical { - flex-direction: column; } - html.theme--documenter-dark .tile.is-vertical > .tile.is-child:not(:last-child) { - margin-bottom: 1.5rem !important; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .tile:not(.is-child) { - display: flex; } - html.theme--documenter-dark .tile.is-1 { - flex: none; - width: 8.33333%; } - html.theme--documenter-dark .tile.is-2 { - flex: none; - width: 16.66667%; } - html.theme--documenter-dark .tile.is-3 { - flex: none; - width: 25%; } - html.theme--documenter-dark .tile.is-4 { - flex: none; - width: 33.33333%; } - html.theme--documenter-dark .tile.is-5 { - flex: none; - width: 41.66667%; } - html.theme--documenter-dark .tile.is-6 { - flex: none; - width: 50%; } - html.theme--documenter-dark .tile.is-7 { - flex: none; - width: 58.33333%; } - html.theme--documenter-dark .tile.is-8 { - flex: none; - width: 66.66667%; } - html.theme--documenter-dark .tile.is-9 { - flex: none; - width: 75%; } - html.theme--documenter-dark .tile.is-10 { - flex: none; - width: 83.33333%; } - html.theme--documenter-dark .tile.is-11 { - flex: none; - width: 91.66667%; } - html.theme--documenter-dark .tile.is-12 { - flex: none; - width: 100%; } } - html.theme--documenter-dark .hero { - align-items: stretch; - display: flex; - flex-direction: column; - justify-content: space-between; } - html.theme--documenter-dark .hero .navbar { - background: none; } - html.theme--documenter-dark .hero .tabs ul { - border-bottom: none; } - html.theme--documenter-dark .hero.is-white { - background-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-white strong { - color: inherit; } - html.theme--documenter-dark .hero.is-white .title { - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-white .subtitle { - color: rgba(10, 10, 10, 0.9); } - html.theme--documenter-dark .hero.is-white .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-white .subtitle strong { - color: #0a0a0a; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-white .navbar-menu { - background-color: white; } } - html.theme--documenter-dark .hero.is-white .navbar-item, - html.theme--documenter-dark .hero.is-white .navbar-link { - color: rgba(10, 10, 10, 0.7); } - html.theme--documenter-dark .hero.is-white a.navbar-item:hover, html.theme--documenter-dark .hero.is-white a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-white .navbar-link:hover, - html.theme--documenter-dark .hero.is-white .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-white .tabs a { - color: #0a0a0a; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-white .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-white .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-white .tabs.is-boxed a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a { - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-white .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-white .tabs.is-toggle li.is-active a:hover { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .hero.is-white.is-bold { - background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-white.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } } - html.theme--documenter-dark .hero.is-black { - background-color: #0a0a0a; - color: white; } - html.theme--documenter-dark .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-black strong { - color: inherit; } - html.theme--documenter-dark .hero.is-black .title { - color: white; } - html.theme--documenter-dark .hero.is-black .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-black .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-black .subtitle strong { - color: white; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-black .navbar-menu { - background-color: #0a0a0a; } } - html.theme--documenter-dark .hero.is-black .navbar-item, - html.theme--documenter-dark .hero.is-black .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-black a.navbar-item:hover, html.theme--documenter-dark .hero.is-black a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-black .navbar-link:hover, - html.theme--documenter-dark .hero.is-black .navbar-link.is-active { - background-color: black; - color: white; } - html.theme--documenter-dark .hero.is-black .tabs a { - color: white; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-black .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-black .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-black .tabs.is-boxed a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a { - color: white; } - html.theme--documenter-dark .hero.is-black .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-black .tabs.is-toggle li.is-active a:hover { - background-color: white; - border-color: white; - color: #0a0a0a; } - html.theme--documenter-dark .hero.is-black.is-bold { - background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-black.is-bold .navbar-menu { - background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } } - html.theme--documenter-dark .hero.is-light { - background-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-light strong { - color: inherit; } - html.theme--documenter-dark .hero.is-light .title { - color: #282f2f; } - html.theme--documenter-dark .hero.is-light .subtitle { - color: rgba(40, 47, 47, 0.9); } - html.theme--documenter-dark .hero.is-light .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-light .subtitle strong { - color: #282f2f; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-light .navbar-menu { - background-color: #ecf0f1; } } - html.theme--documenter-dark .hero.is-light .navbar-item, - html.theme--documenter-dark .hero.is-light .navbar-link { - color: rgba(40, 47, 47, 0.7); } - html.theme--documenter-dark .hero.is-light a.navbar-item:hover, html.theme--documenter-dark .hero.is-light a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-light .navbar-link:hover, - html.theme--documenter-dark .hero.is-light .navbar-link.is-active { - background-color: #dde4e6; - color: #282f2f; } - html.theme--documenter-dark .hero.is-light .tabs a { - color: #282f2f; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-light .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-light .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-light .tabs.is-boxed a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a { - color: #282f2f; } - html.theme--documenter-dark .hero.is-light .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-light .tabs.is-toggle li.is-active a:hover { - background-color: #282f2f; - border-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-light.is-bold { - background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-light.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #cadfe0 0%, #ecf0f1 71%, #fafbfc 100%); } } - html.theme--documenter-dark .hero.is-dark, html.theme--documenter-dark .content kbd.hero { - background-color: #282f2f; - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-dark strong, - html.theme--documenter-dark .content kbd.hero strong { - color: inherit; } - html.theme--documenter-dark .hero.is-dark .title, html.theme--documenter-dark .content kbd.hero .title { - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-dark .subtitle, html.theme--documenter-dark .content kbd.hero .subtitle { - color: rgba(236, 240, 241, 0.9); } - html.theme--documenter-dark .hero.is-dark .subtitle a:not(.button), html.theme--documenter-dark .content kbd.hero .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-dark .subtitle strong, - html.theme--documenter-dark .content kbd.hero .subtitle strong { - color: #ecf0f1; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-dark .navbar-menu, html.theme--documenter-dark .content kbd.hero .navbar-menu { - background-color: #282f2f; } } - html.theme--documenter-dark .hero.is-dark .navbar-item, html.theme--documenter-dark .content kbd.hero .navbar-item, - html.theme--documenter-dark .hero.is-dark .navbar-link, - html.theme--documenter-dark .content kbd.hero .navbar-link { - color: rgba(236, 240, 241, 0.7); } - html.theme--documenter-dark .hero.is-dark a.navbar-item:hover, html.theme--documenter-dark .content kbd.hero a.navbar-item:hover, html.theme--documenter-dark .hero.is-dark a.navbar-item.is-active, html.theme--documenter-dark .content kbd.hero a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-dark .navbar-link:hover, - html.theme--documenter-dark .content kbd.hero .navbar-link:hover, - html.theme--documenter-dark .hero.is-dark .navbar-link.is-active, - html.theme--documenter-dark .content kbd.hero .navbar-link.is-active { - background-color: #1d2122; - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-dark .tabs a, html.theme--documenter-dark .content kbd.hero .tabs a { - color: #ecf0f1; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-dark .tabs a:hover, html.theme--documenter-dark .content kbd.hero .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-dark .tabs li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a { - color: #ecf0f1; } - html.theme--documenter-dark .hero.is-dark .tabs.is-boxed a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-dark .tabs.is-toggle li.is-active a:hover, html.theme--documenter-dark .content kbd.hero .tabs.is-toggle li.is-active a:hover { - background-color: #ecf0f1; - border-color: #ecf0f1; - color: #282f2f; } - html.theme--documenter-dark .hero.is-dark.is-bold, html.theme--documenter-dark .content kbd.hero.is-bold { - background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-dark.is-bold .navbar-menu, html.theme--documenter-dark .content kbd.hero.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #0f1615 0%, #282f2f 71%, #313c40 100%); } } - html.theme--documenter-dark .hero.is-primary, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink { - background-color: #375a7f; - color: #fff; } - html.theme--documenter-dark .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-primary strong, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink strong { - color: inherit; } - html.theme--documenter-dark .hero.is-primary .title, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .title { - color: #fff; } - html.theme--documenter-dark .hero.is-primary .subtitle, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-primary .subtitle a:not(.button), html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-primary .subtitle strong, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-primary .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-menu { - background-color: #375a7f; } } - html.theme--documenter-dark .hero.is-primary .navbar-item, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-item, - html.theme--documenter-dark .hero.is-primary .navbar-link, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-primary a.navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, html.theme--documenter-dark .hero.is-primary a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-primary .navbar-link:hover, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link:hover, - html.theme--documenter-dark .hero.is-primary .navbar-link.is-active, - html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active { - background-color: #2f4d6d; - color: #fff; } - html.theme--documenter-dark .hero.is-primary .tabs a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-primary .tabs a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-primary .tabs li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-primary .tabs.is-boxed a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-primary .tabs.is-toggle li.is-active a:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #375a7f; } - html.theme--documenter-dark .hero.is-primary.is-bold, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink { - background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-primary.is-bold .navbar-menu, html.theme--documenter-dark .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu { - background-image: linear-gradient(141deg, #214b62 0%, #375a7f 71%, #3a5796 100%); } } - html.theme--documenter-dark .hero.is-link { - background-color: #1abc9c; - color: #fff; } - html.theme--documenter-dark .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-link strong { - color: inherit; } - html.theme--documenter-dark .hero.is-link .title { - color: #fff; } - html.theme--documenter-dark .hero.is-link .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-link .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-link .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-link .navbar-menu { - background-color: #1abc9c; } } - html.theme--documenter-dark .hero.is-link .navbar-item, - html.theme--documenter-dark .hero.is-link .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-link a.navbar-item:hover, html.theme--documenter-dark .hero.is-link a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-link .navbar-link:hover, - html.theme--documenter-dark .hero.is-link .navbar-link.is-active { - background-color: #17a689; - color: #fff; } - html.theme--documenter-dark .hero.is-link .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-link .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-link .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-link .tabs.is-boxed a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-link .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-link .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #1abc9c; } - html.theme--documenter-dark .hero.is-link.is-bold { - background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-link.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #0c9764 0%, #1abc9c 71%, #17d8d2 100%); } } - html.theme--documenter-dark .hero.is-info { - background-color: #024c7d; - color: #fff; } - html.theme--documenter-dark .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-info strong { - color: inherit; } - html.theme--documenter-dark .hero.is-info .title { - color: #fff; } - html.theme--documenter-dark .hero.is-info .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-info .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-info .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-info .navbar-menu { - background-color: #024c7d; } } - html.theme--documenter-dark .hero.is-info .navbar-item, - html.theme--documenter-dark .hero.is-info .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-info a.navbar-item:hover, html.theme--documenter-dark .hero.is-info a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-info .navbar-link:hover, - html.theme--documenter-dark .hero.is-info .navbar-link.is-active { - background-color: #023d64; - color: #fff; } - html.theme--documenter-dark .hero.is-info .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-info .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-info .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-info .tabs.is-boxed a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-info .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-info .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #024c7d; } - html.theme--documenter-dark .hero.is-info.is-bold { - background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-info.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #003a4c 0%, #024c7d 71%, #004299 100%); } } - html.theme--documenter-dark .hero.is-success { - background-color: #008438; - color: #fff; } - html.theme--documenter-dark .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-success strong { - color: inherit; } - html.theme--documenter-dark .hero.is-success .title { - color: #fff; } - html.theme--documenter-dark .hero.is-success .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-success .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-success .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-success .navbar-menu { - background-color: #008438; } } - html.theme--documenter-dark .hero.is-success .navbar-item, - html.theme--documenter-dark .hero.is-success .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-success a.navbar-item:hover, html.theme--documenter-dark .hero.is-success a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-success .navbar-link:hover, - html.theme--documenter-dark .hero.is-success .navbar-link.is-active { - background-color: #006b2d; - color: #fff; } - html.theme--documenter-dark .hero.is-success .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-success .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-success .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-success .tabs.is-boxed a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-success .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-success .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #008438; } - html.theme--documenter-dark .hero.is-success.is-bold { - background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-success.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #005115 0%, #008438 71%, #009e5d 100%); } } - html.theme--documenter-dark .hero.is-warning { - background-color: #ad8100; - color: #fff; } - html.theme--documenter-dark .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-warning strong { - color: inherit; } - html.theme--documenter-dark .hero.is-warning .title { - color: #fff; } - html.theme--documenter-dark .hero.is-warning .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-warning .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-warning .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-warning .navbar-menu { - background-color: #ad8100; } } - html.theme--documenter-dark .hero.is-warning .navbar-item, - html.theme--documenter-dark .hero.is-warning .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-warning a.navbar-item:hover, html.theme--documenter-dark .hero.is-warning a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-warning .navbar-link:hover, - html.theme--documenter-dark .hero.is-warning .navbar-link.is-active { - background-color: #946e00; - color: #fff; } - html.theme--documenter-dark .hero.is-warning .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-warning .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-warning .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-warning .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-warning .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #ad8100; } - html.theme--documenter-dark .hero.is-warning.is-bold { - background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-warning.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #7a4700 0%, #ad8100 71%, #c7b500 100%); } } - html.theme--documenter-dark .hero.is-danger { - background-color: #9e1b0d; - color: #fff; } - html.theme--documenter-dark .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - html.theme--documenter-dark .hero.is-danger strong { - color: inherit; } - html.theme--documenter-dark .hero.is-danger .title { - color: #fff; } - html.theme--documenter-dark .hero.is-danger .subtitle { - color: rgba(255, 255, 255, 0.9); } - html.theme--documenter-dark .hero.is-danger .subtitle a:not(.button), - html.theme--documenter-dark .hero.is-danger .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .hero.is-danger .navbar-menu { - background-color: #9e1b0d; } } - html.theme--documenter-dark .hero.is-danger .navbar-item, - html.theme--documenter-dark .hero.is-danger .navbar-link { - color: rgba(255, 255, 255, 0.7); } - html.theme--documenter-dark .hero.is-danger a.navbar-item:hover, html.theme--documenter-dark .hero.is-danger a.navbar-item.is-active, - html.theme--documenter-dark .hero.is-danger .navbar-link:hover, - html.theme--documenter-dark .hero.is-danger .navbar-link.is-active { - background-color: #86170b; - color: #fff; } - html.theme--documenter-dark .hero.is-danger .tabs a { - color: #fff; - opacity: 0.9; } - html.theme--documenter-dark .hero.is-danger .tabs a:hover { - opacity: 1; } - html.theme--documenter-dark .hero.is-danger .tabs li.is-active a { - opacity: 1; } - html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a { - color: #fff; } - html.theme--documenter-dark .hero.is-danger .tabs.is-boxed a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-boxed li.is-active a:hover, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a, html.theme--documenter-dark .hero.is-danger .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #9e1b0d; } - html.theme--documenter-dark .hero.is-danger.is-bold { - background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero.is-danger.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #75030b 0%, #9e1b0d 71%, #ba380a 100%); } } - html.theme--documenter-dark .hero.is-small .hero-body, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.hero .hero-body { - padding-bottom: 1.5rem; - padding-top: 1.5rem; } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .hero.is-medium .hero-body { - padding-bottom: 9rem; - padding-top: 9rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .hero.is-large .hero-body { - padding-bottom: 18rem; - padding-top: 18rem; } } - html.theme--documenter-dark .hero.is-halfheight .hero-body, html.theme--documenter-dark .hero.is-fullheight .hero-body, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body { - align-items: center; - display: flex; } - html.theme--documenter-dark .hero.is-halfheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight .hero-body > .container, html.theme--documenter-dark .hero.is-fullheight-with-navbar .hero-body > .container { - flex-grow: 1; - flex-shrink: 1; } - html.theme--documenter-dark .hero.is-halfheight { - min-height: 50vh; } - html.theme--documenter-dark .hero.is-fullheight { - min-height: 100vh; } - html.theme--documenter-dark .hero-video { - overflow: hidden; } - html.theme--documenter-dark .hero-video video { - left: 50%; - min-height: 100%; - min-width: 100%; - position: absolute; - top: 50%; - transform: translate3d(-50%, -50%, 0); } - html.theme--documenter-dark .hero-video.is-transparent { - opacity: 0.3; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero-video { - display: none; } } - html.theme--documenter-dark .hero-buttons { - margin-top: 1.5rem; } - @media screen and (max-width: 768px) { - html.theme--documenter-dark .hero-buttons .button { - display: flex; } - html.theme--documenter-dark .hero-buttons .button:not(:last-child) { - margin-bottom: 0.75rem; } } - @media screen and (min-width: 769px), print { - html.theme--documenter-dark .hero-buttons { - display: flex; - justify-content: center; } - html.theme--documenter-dark .hero-buttons .button:not(:last-child) { - margin-right: 1.5rem; } } - html.theme--documenter-dark .hero-head, - html.theme--documenter-dark .hero-foot { - flex-grow: 0; - flex-shrink: 0; } - html.theme--documenter-dark .hero-body { - flex-grow: 1; - flex-shrink: 0; - padding: 3rem 1.5rem; } - html.theme--documenter-dark .section { - padding: 3rem 1.5rem; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark .section.is-medium { - padding: 9rem 1.5rem; } - html.theme--documenter-dark .section.is-large { - padding: 18rem 1.5rem; } } - html.theme--documenter-dark .footer { - background-color: #282f2f; - padding: 3rem 1.5rem 6rem; } - html.theme--documenter-dark hr { - height: 1px; } - html.theme--documenter-dark h6 { - text-transform: uppercase; - letter-spacing: 0.5px; } - html.theme--documenter-dark .hero { - background-color: #343c3d; } - html.theme--documenter-dark a { - transition: all 200ms ease; } - html.theme--documenter-dark .button { - transition: all 200ms ease; - border-width: 1px; - color: white; } - html.theme--documenter-dark .button.is-active, html.theme--documenter-dark .button.is-focused, html.theme--documenter-dark .button:active, html.theme--documenter-dark .button:focus { - box-shadow: 0 0 0 2px rgba(140, 155, 157, 0.5); } - html.theme--documenter-dark .button.is-white.is-hovered, html.theme--documenter-dark .button.is-white:hover { - background-color: white; } - html.theme--documenter-dark .button.is-white.is-active, html.theme--documenter-dark .button.is-white.is-focused, html.theme--documenter-dark .button.is-white:active, html.theme--documenter-dark .button.is-white:focus { - border-color: white; - box-shadow: 0 0 0 2px rgba(255, 255, 255, 0.5); } - html.theme--documenter-dark .button.is-black.is-hovered, html.theme--documenter-dark .button.is-black:hover { - background-color: #1d1d1d; } - html.theme--documenter-dark .button.is-black.is-active, html.theme--documenter-dark .button.is-black.is-focused, html.theme--documenter-dark .button.is-black:active, html.theme--documenter-dark .button.is-black:focus { - border-color: #0a0a0a; - box-shadow: 0 0 0 2px rgba(10, 10, 10, 0.5); } - html.theme--documenter-dark .button.is-light.is-hovered, html.theme--documenter-dark .button.is-light:hover { - background-color: white; } - html.theme--documenter-dark .button.is-light.is-active, html.theme--documenter-dark .button.is-light.is-focused, html.theme--documenter-dark .button.is-light:active, html.theme--documenter-dark .button.is-light:focus { - border-color: #ecf0f1; - box-shadow: 0 0 0 2px rgba(236, 240, 241, 0.5); } - html.theme--documenter-dark .button.is-dark.is-hovered, html.theme--documenter-dark .content kbd.button.is-hovered, html.theme--documenter-dark .button.is-dark:hover, html.theme--documenter-dark .content kbd.button:hover { - background-color: #3a4344; } - html.theme--documenter-dark .button.is-dark.is-active, html.theme--documenter-dark .content kbd.button.is-active, html.theme--documenter-dark .button.is-dark.is-focused, html.theme--documenter-dark .content kbd.button.is-focused, html.theme--documenter-dark .button.is-dark:active, html.theme--documenter-dark .content kbd.button:active, html.theme--documenter-dark .button.is-dark:focus, html.theme--documenter-dark .content kbd.button:focus { - border-color: #282f2f; - box-shadow: 0 0 0 2px rgba(40, 47, 47, 0.5); } - html.theme--documenter-dark .button.is-primary.is-hovered, html.theme--documenter-dark .docstring > section > a.button.is-hovered.docs-sourcelink, html.theme--documenter-dark .button.is-primary:hover, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:hover { - background-color: #436d9a; } - html.theme--documenter-dark .button.is-primary.is-active, html.theme--documenter-dark .docstring > section > a.button.is-active.docs-sourcelink, html.theme--documenter-dark .button.is-primary.is-focused, html.theme--documenter-dark .docstring > section > a.button.is-focused.docs-sourcelink, html.theme--documenter-dark .button.is-primary:active, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:active, html.theme--documenter-dark .button.is-primary:focus, html.theme--documenter-dark .docstring > section > a.button.docs-sourcelink:focus { - border-color: #375a7f; - box-shadow: 0 0 0 2px rgba(55, 90, 127, 0.5); } - html.theme--documenter-dark .button.is-link.is-hovered, html.theme--documenter-dark .button.is-link:hover { - background-color: #1fdeb8; } - html.theme--documenter-dark .button.is-link.is-active, html.theme--documenter-dark .button.is-link.is-focused, html.theme--documenter-dark .button.is-link:active, html.theme--documenter-dark .button.is-link:focus { - border-color: #1abc9c; - box-shadow: 0 0 0 2px rgba(26, 188, 156, 0.5); } - html.theme--documenter-dark .button.is-info.is-hovered, html.theme--documenter-dark .button.is-info:hover { - background-color: #0363a3; } - html.theme--documenter-dark .button.is-info.is-active, html.theme--documenter-dark .button.is-info.is-focused, html.theme--documenter-dark .button.is-info:active, html.theme--documenter-dark .button.is-info:focus { - border-color: #024c7d; - box-shadow: 0 0 0 2px rgba(2, 76, 125, 0.5); } - html.theme--documenter-dark .button.is-success.is-hovered, html.theme--documenter-dark .button.is-success:hover { - background-color: #00aa48; } - html.theme--documenter-dark .button.is-success.is-active, html.theme--documenter-dark .button.is-success.is-focused, html.theme--documenter-dark .button.is-success:active, html.theme--documenter-dark .button.is-success:focus { - border-color: #008438; - box-shadow: 0 0 0 2px rgba(0, 132, 56, 0.5); } - html.theme--documenter-dark .button.is-warning.is-hovered, html.theme--documenter-dark .button.is-warning:hover { - background-color: #d39e00; } - html.theme--documenter-dark .button.is-warning.is-active, html.theme--documenter-dark .button.is-warning.is-focused, html.theme--documenter-dark .button.is-warning:active, html.theme--documenter-dark .button.is-warning:focus { - border-color: #ad8100; - box-shadow: 0 0 0 2px rgba(173, 129, 0, 0.5); } - html.theme--documenter-dark .button.is-danger.is-hovered, html.theme--documenter-dark .button.is-danger:hover { - background-color: #c12110; } - html.theme--documenter-dark .button.is-danger.is-active, html.theme--documenter-dark .button.is-danger.is-focused, html.theme--documenter-dark .button.is-danger:active, html.theme--documenter-dark .button.is-danger:focus { - border-color: #9e1b0d; - box-shadow: 0 0 0 2px rgba(158, 27, 13, 0.5); } - html.theme--documenter-dark .label { - color: #dbdee0; } - html.theme--documenter-dark .button, - html.theme--documenter-dark .control.has-icons-left .icon, - html.theme--documenter-dark .control.has-icons-right .icon, - html.theme--documenter-dark .input, - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark .pagination-ellipsis, - html.theme--documenter-dark .pagination-link, - html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark .pagination-previous, - html.theme--documenter-dark .select, - html.theme--documenter-dark .select select, - html.theme--documenter-dark .textarea { - height: 2.5em; } - - html.theme--documenter-dark .input, - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark .textarea { - transition: all 200ms ease; - box-shadow: none; - border-width: 1px; - padding-left: 1em; - padding-right: 1em; } - html.theme--documenter-dark .select:after, - html.theme--documenter-dark .select select { - border-width: 1px; } - html.theme--documenter-dark .control.has-addons .button, - html.theme--documenter-dark .control.has-addons .input, - html.theme--documenter-dark .control.has-addons #documenter .docs-sidebar form.docs-search > input, - html.theme--documenter-dark #documenter .docs-sidebar .control.has-addons form.docs-search > input, - html.theme--documenter-dark .control.has-addons .select { - margin-right: -1px; } - html.theme--documenter-dark .notification { - background-color: #343c3d; } - html.theme--documenter-dark .card { - box-shadow: none; - border: 1px solid #343c3d; - background-color: #282f2f; - border-radius: 0.4em; } - html.theme--documenter-dark .card .card-image img { - border-radius: 0.4em 0.4em 0 0; } - html.theme--documenter-dark .card .card-header { - box-shadow: none; - background-color: rgba(18, 18, 18, 0.2); - border-radius: 0.4em 0.4em 0 0; } - html.theme--documenter-dark .card .card-footer { - background-color: rgba(18, 18, 18, 0.2); } - html.theme--documenter-dark .card .card-footer, - html.theme--documenter-dark .card .card-footer-item { - border-width: 1px; - border-color: #343c3d; } - html.theme--documenter-dark .notification.is-white a:not(.button) { - color: #0a0a0a; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-black a:not(.button) { - color: white; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-light a:not(.button) { - color: #282f2f; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-dark a:not(.button), html.theme--documenter-dark .content kbd.notification a:not(.button) { - color: #ecf0f1; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-primary a:not(.button), html.theme--documenter-dark .docstring > section > a.notification.docs-sourcelink a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-link a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-info a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-success a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-warning a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .notification.is-danger a:not(.button) { - color: #fff; - text-decoration: underline; } - html.theme--documenter-dark .tag, html.theme--documenter-dark .docstring > section > a.docs-sourcelink, html.theme--documenter-dark .content kbd { - border-radius: 0.4em; } - html.theme--documenter-dark .menu-list a { - transition: all 300ms ease; } - html.theme--documenter-dark .modal-card-body { - background-color: #282f2f; } - html.theme--documenter-dark .modal-card-foot, - html.theme--documenter-dark .modal-card-head { - border-color: #343c3d; } - html.theme--documenter-dark .message-header { - font-weight: 700; - background-color: #343c3d; - color: white; } - html.theme--documenter-dark .message-body { - border-width: 1px; - border-color: #343c3d; } - html.theme--documenter-dark .navbar { - border-radius: 0.4em; } - html.theme--documenter-dark .navbar.is-transparent { - background: none; } - html.theme--documenter-dark .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, html.theme--documenter-dark .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { - background-color: #1abc9c; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark .navbar .navbar-menu { - background-color: #375a7f; - border-radius: 0 0 0.4em 0.4em; } } - html.theme--documenter-dark .hero .navbar, - html.theme--documenter-dark body > .navbar { - border-radius: 0; } - html.theme--documenter-dark .pagination-link, - html.theme--documenter-dark .pagination-next, - html.theme--documenter-dark .pagination-previous { - border-width: 1px; } - html.theme--documenter-dark .panel-block, - html.theme--documenter-dark .panel-heading, - html.theme--documenter-dark .panel-tabs { - border-width: 1px; } - html.theme--documenter-dark .panel-block:first-child, - html.theme--documenter-dark .panel-heading:first-child, - html.theme--documenter-dark .panel-tabs:first-child { - border-top-width: 1px; } - html.theme--documenter-dark .panel-heading { - font-weight: 700; } - html.theme--documenter-dark .panel-tabs a { - border-width: 1px; - margin-bottom: -1px; } - html.theme--documenter-dark .panel-tabs a.is-active { - border-bottom-color: #17a689; } - html.theme--documenter-dark .panel-block:hover { - color: #1dd2af; } - html.theme--documenter-dark .panel-block:hover .panel-icon { - color: #1dd2af; } - html.theme--documenter-dark .panel-block.is-active .panel-icon { - color: #17a689; } - html.theme--documenter-dark .tabs a { - border-bottom-width: 1px; - margin-bottom: -1px; } - html.theme--documenter-dark .tabs ul { - border-bottom-width: 1px; } - html.theme--documenter-dark .tabs.is-boxed a { - border-width: 1px; } - html.theme--documenter-dark .tabs.is-boxed li.is-active a { - background-color: #1f2424; } - html.theme--documenter-dark .tabs.is-toggle li a { - border-width: 1px; - margin-bottom: 0; } - html.theme--documenter-dark .tabs.is-toggle li + li { - margin-left: -1px; } - html.theme--documenter-dark .hero.is-white .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-black .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-light .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-dark .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .content kbd.hero .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-primary .navbar .navbar-dropdown .navbar-item:hover, html.theme--documenter-dark .docstring > section > a.hero.docs-sourcelink .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-link .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-info .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-success .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-warning .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark .hero.is-danger .navbar .navbar-dropdown .navbar-item:hover { - background-color: transparent; } - html.theme--documenter-dark h1 .docs-heading-anchor, html.theme--documenter-dark h1 .docs-heading-anchor:hover, html.theme--documenter-dark h1 .docs-heading-anchor:visited, html.theme--documenter-dark h2 .docs-heading-anchor, html.theme--documenter-dark h2 .docs-heading-anchor:hover, html.theme--documenter-dark h2 .docs-heading-anchor:visited, html.theme--documenter-dark h3 .docs-heading-anchor, html.theme--documenter-dark h3 .docs-heading-anchor:hover, html.theme--documenter-dark h3 .docs-heading-anchor:visited, html.theme--documenter-dark h4 .docs-heading-anchor, html.theme--documenter-dark h4 .docs-heading-anchor:hover, html.theme--documenter-dark h4 .docs-heading-anchor:visited, html.theme--documenter-dark h5 .docs-heading-anchor, html.theme--documenter-dark h5 .docs-heading-anchor:hover, html.theme--documenter-dark h5 .docs-heading-anchor:visited, html.theme--documenter-dark h6 .docs-heading-anchor, html.theme--documenter-dark h6 .docs-heading-anchor:hover, html.theme--documenter-dark h6 .docs-heading-anchor:visited { - color: #f2f2f2; } - html.theme--documenter-dark h1 .docs-heading-anchor-permalink, html.theme--documenter-dark h2 .docs-heading-anchor-permalink, html.theme--documenter-dark h3 .docs-heading-anchor-permalink, html.theme--documenter-dark h4 .docs-heading-anchor-permalink, html.theme--documenter-dark h5 .docs-heading-anchor-permalink, html.theme--documenter-dark h6 .docs-heading-anchor-permalink { - visibility: hidden; - vertical-align: middle; - margin-left: 0.5em; - font-size: 0.7rem; } - html.theme--documenter-dark h1 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h2 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h3 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h4 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h5 .docs-heading-anchor-permalink::before, html.theme--documenter-dark h6 .docs-heading-anchor-permalink::before { - font-family: "Font Awesome 5 Free"; - font-weight: 900; - content: "\f0c1"; } - html.theme--documenter-dark h1:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h2:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h3:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h4:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h5:hover .docs-heading-anchor-permalink, html.theme--documenter-dark h6:hover .docs-heading-anchor-permalink { - visibility: visible; } - html.theme--documenter-dark .docs-light-only { - display: none !important; } - html.theme--documenter-dark .admonition { - background-color: #282f2f; - border-style: solid; - border-width: 1px; - border-color: #5e6d6f; - border-radius: 0.4em; - font-size: 15px; } - html.theme--documenter-dark .admonition strong { - color: currentColor; } - html.theme--documenter-dark .admonition.is-small, html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input.admonition { - font-size: 0.85em; } - html.theme--documenter-dark .admonition.is-medium { - font-size: 1.25rem; } - html.theme--documenter-dark .admonition.is-large { - font-size: 1.5rem; } - html.theme--documenter-dark .admonition.is-default { - background-color: #282f2f; - border-color: #5e6d6f; } - html.theme--documenter-dark .admonition.is-default > .admonition-header { - background-color: #5e6d6f; } - html.theme--documenter-dark .admonition.is-info { - background-color: #282f2f; - border-color: #024c7d; } - html.theme--documenter-dark .admonition.is-info > .admonition-header { - background-color: #024c7d; } - html.theme--documenter-dark .admonition.is-success { - background-color: #282f2f; - border-color: #008438; } - html.theme--documenter-dark .admonition.is-success > .admonition-header { - background-color: #008438; } - html.theme--documenter-dark .admonition.is-warning { - background-color: #282f2f; - border-color: #ad8100; } - html.theme--documenter-dark .admonition.is-warning > .admonition-header { - background-color: #ad8100; } - html.theme--documenter-dark .admonition.is-danger { - background-color: #282f2f; - border-color: #9e1b0d; } - html.theme--documenter-dark .admonition.is-danger > .admonition-header { - background-color: #9e1b0d; } - html.theme--documenter-dark .admonition.is-compat { - background-color: #282f2f; - border-color: #137886; } - html.theme--documenter-dark .admonition.is-compat > .admonition-header { - background-color: #137886; } - html.theme--documenter-dark .admonition-header { - background-color: #5e6d6f; - align-items: center; - font-weight: 700; - justify-content: space-between; - line-height: 1.25; - padding: 0.75em; - position: relative; } - html.theme--documenter-dark .admonition-header:before { - font-family: "Font Awesome 5 Free"; - font-weight: 900; - margin-right: 0.75em; - content: "\f06a"; } - html.theme--documenter-dark .admonition-body { - color: #fff; - padding: 1em 1.25em; } - html.theme--documenter-dark .admonition-body pre { - background-color: #282f2f; } - html.theme--documenter-dark .admonition-body code { - background-color: rgba(255, 255, 255, 0.05); } - html.theme--documenter-dark .docstring { - margin-bottom: 1em; - background-color: transparent; - border: 1px solid #5e6d6f; - box-shadow: none; - max-width: 100%; } - html.theme--documenter-dark .docstring > header { - display: flex; - flex-grow: 1; - align-items: stretch; - padding: 0.75rem; - background-color: #282f2f; - box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); - box-shadow: none; - border-bottom: 1px solid #5e6d6f; } - html.theme--documenter-dark .docstring > header code { - background-color: transparent; } - html.theme--documenter-dark .docstring > header .docstring-binding { - margin-right: 0.3em; } - html.theme--documenter-dark .docstring > header .docstring-category { - margin-left: 0.3em; } - html.theme--documenter-dark .docstring > section { - position: relative; - padding: 1rem 1.25rem; - border-bottom: 1px solid #5e6d6f; } - html.theme--documenter-dark .docstring > section:last-child { - border-bottom: none; } - html.theme--documenter-dark .docstring > section > a.docs-sourcelink { - transition: opacity 0.3s; - opacity: 0; - position: absolute; - right: 0.625rem; - bottom: 0.5rem; } - html.theme--documenter-dark .docstring > section > a.docs-sourcelink:focus { - opacity: 1 !important; } - html.theme--documenter-dark .docstring:hover > section > a.docs-sourcelink { - opacity: 0.2; } - html.theme--documenter-dark .docstring:focus-within > section > a.docs-sourcelink { - opacity: 0.2; } - html.theme--documenter-dark .docstring > section:hover a.docs-sourcelink { - opacity: 1; } - html.theme--documenter-dark .documenter-example-output { - background-color: #1f2424; } - html.theme--documenter-dark .outdated-warning-overlay { - position: fixed; - top: 0; - left: 0; - right: 0; - box-shadow: 0 0 10px rgba(0, 0, 0, 0.3); - z-index: 999; - background-color: #282f2f; - border-bottom: 3px solid #9e1b0d; - padding: 10px 35px; - text-align: center; - font-size: 15px; } - html.theme--documenter-dark .outdated-warning-overlay .outdated-warning-closer { - position: absolute; - top: calc(50% - 10px); - right: 18px; - cursor: pointer; - width: 12px; } - html.theme--documenter-dark .outdated-warning-overlay a { - color: #1abc9c; } - html.theme--documenter-dark .outdated-warning-overlay a:hover { - color: #1dd2af; } - html.theme--documenter-dark .content pre { - border: 1px solid #5e6d6f; } - html.theme--documenter-dark .content code { - font-weight: inherit; } - html.theme--documenter-dark .content a code { - color: #1abc9c; } - html.theme--documenter-dark .content h1 code, html.theme--documenter-dark .content h2 code, html.theme--documenter-dark .content h3 code, html.theme--documenter-dark .content h4 code, html.theme--documenter-dark .content h5 code, html.theme--documenter-dark .content h6 code { - color: #f2f2f2; } - html.theme--documenter-dark .content table { - display: block; - width: initial; - max-width: 100%; - overflow-x: auto; } - html.theme--documenter-dark .content blockquote > ul:first-child, html.theme--documenter-dark .content blockquote > ol:first-child, html.theme--documenter-dark .content .admonition-body > ul:first-child, html.theme--documenter-dark .content .admonition-body > ol:first-child { - margin-top: 0; } - html.theme--documenter-dark pre, html.theme--documenter-dark code { - font-variant-ligatures: no-contextual; } - html.theme--documenter-dark .breadcrumb a.is-disabled { - cursor: default; - pointer-events: none; } - html.theme--documenter-dark .breadcrumb a.is-disabled, html.theme--documenter-dark .breadcrumb a.is-disabled:hover { - color: #f2f2f2; } - html.theme--documenter-dark .hljs { - background: initial !important; - padding: initial !important; } - html.theme--documenter-dark .katex .katex-mathml { - top: 0; - right: 0; } - html.theme--documenter-dark .katex-display, html.theme--documenter-dark mjx-container, html.theme--documenter-dark .MathJax_Display { - margin: 0.5em 0 !important; } - html.theme--documenter-dark html { - -moz-osx-font-smoothing: auto; - -webkit-font-smoothing: auto; } - html.theme--documenter-dark li.no-marker { - list-style: none; } - html.theme--documenter-dark #documenter .docs-main > article { - overflow-wrap: break-word; } - html.theme--documenter-dark #documenter .docs-main > article .math-container { - overflow-x: auto; - overflow-y: hidden; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark #documenter .docs-main { - max-width: 52rem; - margin-left: 20rem; - padding-right: 1rem; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark #documenter .docs-main { - width: 100%; } - html.theme--documenter-dark #documenter .docs-main > article { - max-width: 52rem; - margin-left: auto; - margin-right: auto; - margin-bottom: 1rem; - padding: 0 1rem; } - html.theme--documenter-dark #documenter .docs-main > header, html.theme--documenter-dark #documenter .docs-main > nav { - max-width: 100%; - width: 100%; - margin: 0; } } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar { - background-color: #1f2424; - border-bottom: 1px solid #5e6d6f; - z-index: 2; - min-height: 4rem; - margin-bottom: 1rem; - display: flex; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .breadcrumb { - flex-grow: 1; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right { - display: flex; - white-space: nowrap; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-icon, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label, html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { - display: inline-block; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-label { - padding: 0; - margin-left: 0.3em; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-settings-button { - margin: auto 0 auto 1rem; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar .docs-right .docs-sidebar-button { - font-size: 1.5rem; - margin: auto 0 auto 1rem; } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar > * { - margin: auto 0; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark #documenter .docs-main header.docs-navbar { - position: sticky; - top: 0; - padding: 0 1rem; - /* For Headroom.js */ - transition-property: top, box-shadow; - -webkit-transition-property: top, box-shadow; - /* Safari */ - transition-duration: 0.3s; - -webkit-transition-duration: 0.3s; - /* Safari */ } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--not-top { - box-shadow: 0.2rem 0rem 0.4rem #171717; - transition-duration: 0.7s; - -webkit-transition-duration: 0.7s; - /* Safari */ } - html.theme--documenter-dark #documenter .docs-main header.docs-navbar.headroom--unpinned.headroom--not-top.headroom--not-bottom { - top: -4.5rem; - transition-duration: 0.7s; - -webkit-transition-duration: 0.7s; - /* Safari */ } } - html.theme--documenter-dark #documenter .docs-main section.footnotes { - border-top: 1px solid #5e6d6f; } - html.theme--documenter-dark #documenter .docs-main section.footnotes li .tag:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .docstring > section > a.docs-sourcelink:first-child, html.theme--documenter-dark #documenter .docs-main section.footnotes li .content kbd:first-child, html.theme--documenter-dark .content #documenter .docs-main section.footnotes li kbd:first-child { - margin-right: 1em; - margin-bottom: 0.4em; } - html.theme--documenter-dark #documenter .docs-main .docs-footer { - display: flex; - flex-wrap: wrap; - margin-left: 0; - margin-right: 0; - border-top: 1px solid #5e6d6f; - padding-top: 1rem; - padding-bottom: 1rem; } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark #documenter .docs-main .docs-footer { - padding-left: 1rem; - padding-right: 1rem; } } - html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage, html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-prevpage { - flex-grow: 1; } - html.theme--documenter-dark #documenter .docs-main .docs-footer .docs-footer-nextpage { - text-align: right; } - html.theme--documenter-dark #documenter .docs-main .docs-footer .flexbox-break { - flex-basis: 100%; - height: 0; } - html.theme--documenter-dark #documenter .docs-main .docs-footer .footer-message { - font-size: 0.8em; - margin: 0.5em auto 0 auto; - text-align: center; } - html.theme--documenter-dark #documenter .docs-sidebar { - display: flex; - flex-direction: column; - color: #fff; - background-color: #282f2f; - border-right: 1px solid #5e6d6f; - padding: 0; - flex: 0 0 18rem; - z-index: 5; - font-size: 15px; - position: fixed; - left: -18rem; - width: 18rem; - height: 100%; - transition: left 0.3s; - /* Setting up a nicer theme style for the scrollbar */ } - html.theme--documenter-dark #documenter .docs-sidebar.visible { - left: 0; - box-shadow: 0.4rem 0rem 0.8rem #171717; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark #documenter .docs-sidebar.visible { - box-shadow: none; } } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark #documenter .docs-sidebar { - left: 0; - top: 0; } } - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo { - margin-top: 1rem; - padding: 0 1rem; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-logo > img { - max-height: 6rem; - margin: auto; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name { - flex-shrink: 0; - font-size: 1.5rem; - font-weight: 700; - text-align: center; - white-space: nowrap; - overflow: hidden; - padding: 0.5rem 0; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name .docs-autofit { - max-width: 16.2rem; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a, html.theme--documenter-dark #documenter .docs-sidebar .docs-package-name a:hover { - color: #fff; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector { - border-top: 1px solid #5e6d6f; - display: none; - padding: 0.5rem; } - html.theme--documenter-dark #documenter .docs-sidebar .docs-version-selector.visible { - display: flex; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu { - flex-grow: 1; - user-select: none; - border-top: 1px solid #5e6d6f; - padding-bottom: 1.5rem; - /* Managing collapsible submenus */ } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li > .tocitem { - font-weight: bold; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li li { - font-size: 14.25px; - margin-left: 1em; - border-left: 1px solid #5e6d6f; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input.collapse-toggle { - display: none; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.collapsed { - display: none; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ ul.collapsed { - display: block; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem { - display: flex; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-label { - flex-grow: 2; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron { - display: inline-block; - font-style: normal; - font-variant: normal; - text-rendering: auto; - line-height: 1; - font-size: 11.25px; - margin-left: 1rem; - margin-top: auto; - margin-bottom: auto; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem .docs-chevron::before { - font-family: "Font Awesome 5 Free"; - font-weight: 900; - content: "\f054"; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu input:checked ~ label.tocitem .docs-chevron::before { - content: "\f078"; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem { - display: block; - padding: 0.5rem 0.5rem; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu .tocitem:hover { - color: #fff; - background: #282f2f; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu a.tocitem:hover, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu label.tocitem:hover { - color: #fff; - background-color: #32393a; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active { - border-top: 1px solid #5e6d6f; - border-bottom: 1px solid #5e6d6f; - background-color: #1f2424; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem, html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active .tocitem:hover { - background-color: #1f2424; - color: #fff; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu li.is-active ul.internal .tocitem:hover { - background-color: #32393a; - color: #fff; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu > li.is-active:first-child { - border-top: none; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal { - margin: 0 0.5rem 0.5rem; - border-top: 1px solid #5e6d6f; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal li { - font-size: 12.75px; - border-left: none; - margin-left: 0; - margin-top: 0.5rem; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem { - width: 100%; - padding: 0; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu ul.internal .tocitem::before { - content: "⚬"; - margin-right: 0.4em; } - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search { - margin: auto; - margin-top: 0.5rem; - margin-bottom: 0.5rem; } - html.theme--documenter-dark #documenter .docs-sidebar form.docs-search > input { - width: 14.4rem; } - @media screen and (min-width: 1056px) { - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu { - overflow-y: auto; - -webkit-overflow-scroll: touch; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar { - width: .3rem; - background: none; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb { - border-radius: 5px 0px 0px 5px; - background: #3b4445; } - html.theme--documenter-dark #documenter .docs-sidebar ul.docs-menu::-webkit-scrollbar-thumb:hover { - background: #4e5a5c; } } - @media screen and (max-width: 1055px) { - html.theme--documenter-dark #documenter .docs-sidebar { - overflow-y: auto; - -webkit-overflow-scroll: touch; } - html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar { - width: .3rem; - background: none; } - html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb { - border-radius: 5px 0px 0px 5px; - background: #3b4445; } - html.theme--documenter-dark #documenter .docs-sidebar::-webkit-scrollbar-thumb:hover { - background: #4e5a5c; } } - html.theme--documenter-dark #documenter .docs-main #documenter-search-info { - margin-bottom: 1rem; } - html.theme--documenter-dark #documenter .docs-main #documenter-search-results { - list-style-type: circle; - list-style-position: outside; } - html.theme--documenter-dark #documenter .docs-main #documenter-search-results li { - margin-left: 2rem; } - html.theme--documenter-dark #documenter .docs-main #documenter-search-results .docs-highlight { - background-color: yellow; } - html.theme--documenter-dark { - background-color: #1f2424; - font-size: 16px; - min-width: 300px; - overflow-x: auto; - overflow-y: scroll; - text-rendering: optimizeLegibility; - text-size-adjust: 100%; } - html.theme--documenter-dark .ansi span.sgr1 { - font-weight: bolder; } - html.theme--documenter-dark .ansi span.sgr2 { - font-weight: lighter; } - html.theme--documenter-dark .ansi span.sgr3 { - font-style: italic; } - html.theme--documenter-dark .ansi span.sgr4 { - text-decoration: underline; } - html.theme--documenter-dark .ansi span.sgr7 { - color: #1f2424; - background-color: #fff; } - html.theme--documenter-dark .ansi span.sgr8 { - color: transparent; } - html.theme--documenter-dark .ansi span.sgr8 span { - color: transparent; } - html.theme--documenter-dark .ansi span.sgr9 { - text-decoration: line-through; } - html.theme--documenter-dark .ansi span.sgr30 { - color: #242424; } - html.theme--documenter-dark .ansi span.sgr31 { - color: #f6705f; } - html.theme--documenter-dark .ansi span.sgr32 { - color: #4fb43a; } - html.theme--documenter-dark .ansi span.sgr33 { - color: #f4c72f; } - html.theme--documenter-dark .ansi span.sgr34 { - color: #7587f0; } - html.theme--documenter-dark .ansi span.sgr35 { - color: #bc89d3; } - html.theme--documenter-dark .ansi span.sgr36 { - color: #49b6ca; } - html.theme--documenter-dark .ansi span.sgr37 { - color: #b3bdbe; } - html.theme--documenter-dark .ansi span.sgr40 { - background-color: #242424; } - html.theme--documenter-dark .ansi span.sgr41 { - background-color: #f6705f; } - html.theme--documenter-dark .ansi span.sgr42 { - background-color: #4fb43a; } - html.theme--documenter-dark .ansi span.sgr43 { - background-color: #f4c72f; } - html.theme--documenter-dark .ansi span.sgr44 { - background-color: #7587f0; } - html.theme--documenter-dark .ansi span.sgr45 { - background-color: #bc89d3; } - html.theme--documenter-dark .ansi span.sgr46 { - background-color: #49b6ca; } - html.theme--documenter-dark .ansi span.sgr47 { - background-color: #b3bdbe; } - html.theme--documenter-dark .ansi span.sgr90 { - color: #92a0a2; } - html.theme--documenter-dark .ansi span.sgr91 { - color: #ff8674; } - html.theme--documenter-dark .ansi span.sgr92 { - color: #79d462; } - html.theme--documenter-dark .ansi span.sgr93 { - color: #ffe76b; } - html.theme--documenter-dark .ansi span.sgr94 { - color: #8a98ff; } - html.theme--documenter-dark .ansi span.sgr95 { - color: #d2a4e6; } - html.theme--documenter-dark .ansi span.sgr96 { - color: #6bc8db; } - html.theme--documenter-dark .ansi span.sgr97 { - color: #ecf0f1; } - html.theme--documenter-dark .ansi span.sgr100 { - background-color: #92a0a2; } - html.theme--documenter-dark .ansi span.sgr101 { - background-color: #ff8674; } - html.theme--documenter-dark .ansi span.sgr102 { - background-color: #79d462; } - html.theme--documenter-dark .ansi span.sgr103 { - background-color: #ffe76b; } - html.theme--documenter-dark .ansi span.sgr104 { - background-color: #8a98ff; } - html.theme--documenter-dark .ansi span.sgr105 { - background-color: #d2a4e6; } - html.theme--documenter-dark .ansi span.sgr106 { - background-color: #6bc8db; } - html.theme--documenter-dark .ansi span.sgr107 { - background-color: #ecf0f1; } - html.theme--documenter-dark code.language-julia-repl > span.hljs-meta { - color: #4fb43a; - font-weight: bolder; } - html.theme--documenter-dark .hljs { - background: #2b2b2b; - color: #f8f8f2; } - html.theme--documenter-dark .hljs-comment, - html.theme--documenter-dark .hljs-quote { - color: #d4d0ab; } - html.theme--documenter-dark .hljs-variable, - html.theme--documenter-dark .hljs-template-variable, - html.theme--documenter-dark .hljs-tag, - html.theme--documenter-dark .hljs-name, - html.theme--documenter-dark .hljs-selector-id, - html.theme--documenter-dark .hljs-selector-class, - html.theme--documenter-dark .hljs-regexp, - html.theme--documenter-dark .hljs-deletion { - color: #ffa07a; } - html.theme--documenter-dark .hljs-number, - html.theme--documenter-dark .hljs-built_in, - html.theme--documenter-dark .hljs-literal, - html.theme--documenter-dark .hljs-type, - html.theme--documenter-dark .hljs-params, - html.theme--documenter-dark .hljs-meta, - html.theme--documenter-dark .hljs-link { - color: #f5ab35; } - html.theme--documenter-dark .hljs-attribute { - color: #ffd700; } - html.theme--documenter-dark .hljs-string, - html.theme--documenter-dark .hljs-symbol, - html.theme--documenter-dark .hljs-bullet, - html.theme--documenter-dark .hljs-addition { - color: #abe338; } - html.theme--documenter-dark .hljs-title, - html.theme--documenter-dark .hljs-section { - color: #00e0e0; } - html.theme--documenter-dark .hljs-keyword, - html.theme--documenter-dark .hljs-selector-tag { - color: #dcc6e0; } - html.theme--documenter-dark .hljs-emphasis { - font-style: italic; } - html.theme--documenter-dark .hljs-strong { - font-weight: bold; } - @media screen and (-ms-high-contrast: active) { - html.theme--documenter-dark .hljs-addition, - html.theme--documenter-dark .hljs-attribute, - html.theme--documenter-dark .hljs-built_in, - html.theme--documenter-dark .hljs-bullet, - html.theme--documenter-dark .hljs-comment, - html.theme--documenter-dark .hljs-link, - html.theme--documenter-dark .hljs-literal, - html.theme--documenter-dark .hljs-meta, - html.theme--documenter-dark .hljs-number, - html.theme--documenter-dark .hljs-params, - html.theme--documenter-dark .hljs-string, - html.theme--documenter-dark .hljs-symbol, - html.theme--documenter-dark .hljs-type, - html.theme--documenter-dark .hljs-quote { - color: highlight; } - html.theme--documenter-dark .hljs-keyword, - html.theme--documenter-dark .hljs-selector-tag { - font-weight: bold; } } - html.theme--documenter-dark .hljs-subst { - color: #f8f8f2; } +*/}html.theme--documenter-dark html{background-color:#1f2424;font-size:16px;-moz-osx-font-smoothing:grayscale;-webkit-font-smoothing:antialiased;min-width:300px;overflow-x:auto;overflow-y:scroll;text-rendering:optimizeLegibility;text-size-adjust:100%}html.theme--documenter-dark article,html.theme--documenter-dark aside,html.theme--documenter-dark figure,html.theme--documenter-dark footer,html.theme--documenter-dark header,html.theme--documenter-dark hgroup,html.theme--documenter-dark section{display:block}html.theme--documenter-dark body,html.theme--documenter-dark button,html.theme--documenter-dark input,html.theme--documenter-dark optgroup,html.theme--documenter-dark select,html.theme--documenter-dark textarea{font-family:"Lato Medium",-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue","Helvetica","Arial",sans-serif}html.theme--documenter-dark code,html.theme--documenter-dark pre{-moz-osx-font-smoothing:auto;-webkit-font-smoothing:auto;font-family:"JuliaMono","SFMono-Regular","Menlo","Consolas","Liberation Mono","DejaVu Sans Mono",monospace}html.theme--documenter-dark body{color:#fff;font-size:1em;font-weight:400;line-height:1.5}html.theme--documenter-dark a{color:#1abc9c;cursor:pointer;text-decoration:none}html.theme--documenter-dark a strong{color:currentColor}html.theme--documenter-dark a:hover{color:#1dd2af}html.theme--documenter-dark code{background-color:rgba(255,255,255,0.05);color:#ececec;font-size:.875em;font-weight:normal;padding:.1em}html.theme--documenter-dark hr{background-color:#282f2f;border:none;display:block;height:2px;margin:1.5rem 0}html.theme--documenter-dark img{height:auto;max-width:100%}html.theme--documenter-dark input[type="checkbox"],html.theme--documenter-dark input[type="radio"]{vertical-align:baseline}html.theme--documenter-dark small{font-size:.875em}html.theme--documenter-dark span{font-style:inherit;font-weight:inherit}html.theme--documenter-dark strong{color:#f2f2f2;font-weight:700}html.theme--documenter-dark fieldset{border:none}html.theme--documenter-dark pre{-webkit-overflow-scrolling:touch;background-color:#282f2f;color:#fff;font-size:.875em;overflow-x:auto;padding:1.25rem 1.5rem;white-space:pre;word-wrap:normal}html.theme--documenter-dark pre code{background-color:transparent;color:currentColor;font-size:1em;padding:0}html.theme--documenter-dark table td,html.theme--documenter-dark table th{vertical-align:top}html.theme--documenter-dark table td:not([align]),html.theme--documenter-dark table th:not([align]){text-align:inherit}html.theme--documenter-dark table th{color:#f2f2f2}html.theme--documenter-dark .box{background-color:#343c3d;border-radius:8px;box-shadow:none;color:#fff;display:block;padding:1.25rem}html.theme--documenter-dark a.box:hover,html.theme--documenter-dark a.box:focus{box-shadow:0 0.5em 1em -0.125em rgba(10,10,10,0.1),0 0 0 1px #1abc9c}html.theme--documenter-dark a.box:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2),0 0 0 1px #1abc9c}html.theme--documenter-dark .button{background-color:#282f2f;border-color:#4c5759;border-width:1px;color:#375a7f;cursor:pointer;justify-content:center;padding-bottom:calc(0.5em - 1px);padding-left:1em;padding-right:1em;padding-top:calc(0.5em - 1px);text-align:center;white-space:nowrap}html.theme--documenter-dark .button strong{color:inherit}html.theme--documenter-dark .button .icon,html.theme--documenter-dark .button .icon.is-small,html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search>input.icon,html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search>input.icon,html.theme--documenter-dark .button .icon.is-medium,html.theme--documenter-dark .button .icon.is-large{height:1.5em;width:1.5em}html.theme--documenter-dark .button .icon:first-child:not(:last-child){margin-left:calc(-0.5em - 1px);margin-right:.25em}html.theme--documenter-dark .button .icon:last-child:not(:first-child){margin-left:.25em;margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button .icon:first-child:last-child{margin-left:calc(-0.5em - 1px);margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button:hover,html.theme--documenter-dark .button.is-hovered{border-color:#8c9b9d;color:#f2f2f2}html.theme--documenter-dark .button:focus,html.theme--documenter-dark .button.is-focused{border-color:#8c9b9d;color:#17a689}html.theme--documenter-dark .button:focus:not(:active),html.theme--documenter-dark .button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(26,188,156,0.25)}html.theme--documenter-dark .button:active,html.theme--documenter-dark .button.is-active{border-color:#343c3d;color:#f2f2f2}html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;color:#fff;text-decoration:underline}html.theme--documenter-dark .button.is-text:hover,html.theme--documenter-dark .button.is-text.is-hovered,html.theme--documenter-dark .button.is-text:focus,html.theme--documenter-dark .button.is-text.is-focused{background-color:#282f2f;color:#f2f2f2}html.theme--documenter-dark .button.is-text:active,html.theme--documenter-dark .button.is-text.is-active{background-color:#1d2122;color:#f2f2f2}html.theme--documenter-dark .button.is-text[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-ghost{background:none;border-color:rgba(0,0,0,0);color:#1abc9c;text-decoration:none}html.theme--documenter-dark .button.is-ghost:hover,html.theme--documenter-dark .button.is-ghost.is-hovered{color:#1abc9c;text-decoration:underline}html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:hover,html.theme--documenter-dark .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus,html.theme--documenter-dark .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--documenter-dark 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.button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark 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.button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark 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.button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary[disabled],html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;box-shadow:none}html.theme--documenter-dark .button.is-primary.is-inverted,html.theme--documenter-dark 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.button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--documenter-dark .icon.is-medium{height:2rem;width:2rem}html.theme--documenter-dark .icon.is-large{height:3rem;width:3rem}html.theme--documenter-dark .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--documenter-dark .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--documenter-dark .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--documenter-dark .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--documenter-dark div.icon-text{display:flex}html.theme--documenter-dark .image,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--documenter-dark .image img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--documenter-dark .image.is-16by9 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--documenter-dark .image.is-16by9 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--documenter-dark 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} } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-inline-flex-desktop-only { - display: inline-flex !important; } } - -@media screen and (min-width: 1216px) { - .is-inline-flex-widescreen { - display: inline-flex !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-inline-flex-widescreen-only { - display: inline-flex !important; } } - -@media screen and (min-width: 1408px) { - .is-inline-flex-fullhd { - display: inline-flex !important; } } - -.is-hidden { - display: none !important; } - -.is-sr-only { - border: none !important; - clip: rect(0, 0, 0, 0) !important; - height: 0.01em !important; - overflow: hidden !important; - padding: 0 !important; - position: absolute !important; - white-space: nowrap !important; - width: 0.01em !important; } - -@media screen and (max-width: 768px) { - .is-hidden-mobile { - display: none !important; } } - -@media screen and (min-width: 769px), print { - .is-hidden-tablet { - display: none !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-hidden-tablet-only { - display: none !important; } } - -@media screen and (max-width: 1055px) { - .is-hidden-touch { - display: none !important; } } - -@media screen and (min-width: 1056px) { - .is-hidden-desktop { - display: none !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-hidden-desktop-only { - display: none !important; } } - -@media screen and (min-width: 1216px) { - .is-hidden-widescreen { - display: none !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-hidden-widescreen-only { - display: none !important; } } - -@media screen and (min-width: 1408px) { - .is-hidden-fullhd { - display: none !important; } } - -.is-invisible { - visibility: hidden !important; } - -@media screen and (max-width: 768px) { - .is-invisible-mobile { - visibility: hidden !important; } } - -@media screen and (min-width: 769px), print { - .is-invisible-tablet { - visibility: hidden !important; } } - -@media screen and (min-width: 769px) and (max-width: 1055px) { - .is-invisible-tablet-only { - visibility: hidden !important; } } - -@media screen and (max-width: 1055px) { - .is-invisible-touch { - visibility: hidden !important; } } - -@media screen and (min-width: 1056px) { - .is-invisible-desktop { - visibility: hidden !important; } } - -@media screen and (min-width: 1056px) and (max-width: 1215px) { - .is-invisible-desktop-only { - visibility: hidden !important; } } - -@media screen and (min-width: 1216px) { - .is-invisible-widescreen { - visibility: hidden !important; } } - -@media screen and (min-width: 1216px) and (max-width: 1407px) { - .is-invisible-widescreen-only { - visibility: hidden !important; } } - -@media screen and (min-width: 1408px) { - .is-invisible-fullhd { - visibility: hidden !important; } } - -.is-marginless { - margin: 0 !important; } - -.is-paddingless { - padding: 0 !important; } - -.is-radiusless { - border-radius: 0 !important; } - -.is-shadowless { - box-shadow: none !important; } - -.is-relative { - position: relative !important; } - -.box { - background-color: white; - border-radius: 6px; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - color: #222222; - display: block; - padding: 1.25rem; } - -a.box:hover, a.box:focus { - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px #2e63b8; } - -a.box:active { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2), 0 0 0 1px #2e63b8; } - -.button { - background-color: white; - border-color: #dbdbdb; - border-width: 1px; - color: #363636; - cursor: pointer; - justify-content: center; - padding-bottom: calc(0.375em - 1px); - padding-left: 0.75em; - padding-right: 0.75em; - padding-top: calc(0.375em - 1px); - text-align: center; - white-space: nowrap; } - .button strong { - color: inherit; } - .button .icon, .button .icon.is-small, .button #documenter .docs-sidebar form.docs-search > input.icon, #documenter .docs-sidebar .button form.docs-search > input.icon, .button .icon.is-medium, .button .icon.is-large { - height: 1.5em; - width: 1.5em; } - .button .icon:first-child:not(:last-child) { - margin-left: calc(-0.375em - 1px); - margin-right: 0.1875em; } - .button .icon:last-child:not(:first-child) { - margin-left: 0.1875em; - margin-right: calc(-0.375em - 1px); } - .button .icon:first-child:last-child { - margin-left: calc(-0.375em - 1px); - margin-right: calc(-0.375em - 1px); } - .button:hover, .button.is-hovered { - border-color: #b5b5b5; - color: #363636; } - .button:focus, .button.is-focused { - border-color: #3c5dcd; - color: #363636; } - .button:focus:not(:active), .button.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .button:active, .button.is-active { - border-color: #4a4a4a; - color: #363636; } - .button.is-text { - background-color: transparent; - border-color: transparent; - color: #222222; - text-decoration: underline; } - .button.is-text:hover, .button.is-text.is-hovered, .button.is-text:focus, .button.is-text.is-focused { - background-color: whitesmoke; - color: #222222; } - .button.is-text:active, .button.is-text.is-active { - background-color: #e8e8e8; - color: #222222; } - .button.is-text[disabled], - fieldset[disabled] .button.is-text { - background-color: transparent; - border-color: transparent; - box-shadow: none; } - .button.is-white { - background-color: white; - border-color: transparent; - color: #0a0a0a; } - .button.is-white:hover, .button.is-white.is-hovered { - background-color: #f9f9f9; - border-color: transparent; - color: #0a0a0a; } - .button.is-white:focus, .button.is-white.is-focused { - border-color: transparent; - color: #0a0a0a; } - .button.is-white:focus:not(:active), .button.is-white.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - .button.is-white:active, .button.is-white.is-active { - background-color: #f2f2f2; - border-color: transparent; - color: #0a0a0a; } - .button.is-white[disabled], - fieldset[disabled] .button.is-white { - background-color: white; - border-color: transparent; - box-shadow: none; } - .button.is-white.is-inverted { - background-color: #0a0a0a; - color: white; } - .button.is-white.is-inverted:hover, .button.is-white.is-inverted.is-hovered { - background-color: black; } - .button.is-white.is-inverted[disabled], - fieldset[disabled] .button.is-white.is-inverted { - background-color: #0a0a0a; - border-color: transparent; - box-shadow: none; - color: white; } - .button.is-white.is-loading::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - .button.is-white.is-outlined { - background-color: transparent; - border-color: white; - color: white; } - .button.is-white.is-outlined:hover, .button.is-white.is-outlined.is-hovered, .button.is-white.is-outlined:focus, .button.is-white.is-outlined.is-focused { - background-color: white; - border-color: white; - color: #0a0a0a; } - .button.is-white.is-outlined.is-loading::after { - border-color: transparent transparent white white !important; } - .button.is-white.is-outlined.is-loading:hover::after, .button.is-white.is-outlined.is-loading.is-hovered::after, .button.is-white.is-outlined.is-loading:focus::after, .button.is-white.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - .button.is-white.is-outlined[disabled], - fieldset[disabled] .button.is-white.is-outlined { - background-color: transparent; - border-color: white; - box-shadow: none; - color: white; } - .button.is-white.is-inverted.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - color: #0a0a0a; } - .button.is-white.is-inverted.is-outlined:hover, .button.is-white.is-inverted.is-outlined.is-hovered, .button.is-white.is-inverted.is-outlined:focus, .button.is-white.is-inverted.is-outlined.is-focused { - background-color: #0a0a0a; - color: white; } - .button.is-white.is-inverted.is-outlined.is-loading:hover::after, .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-white.is-inverted.is-outlined.is-loading:focus::after, .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent white white !important; } - .button.is-white.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-white.is-inverted.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - box-shadow: none; - color: #0a0a0a; } - .button.is-black { - background-color: #0a0a0a; - border-color: transparent; - color: white; } - .button.is-black:hover, .button.is-black.is-hovered { - background-color: #040404; - border-color: transparent; - color: white; } - .button.is-black:focus, .button.is-black.is-focused { - border-color: transparent; - color: white; } - .button.is-black:focus:not(:active), .button.is-black.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - .button.is-black:active, .button.is-black.is-active { - background-color: black; - border-color: transparent; - color: white; } - .button.is-black[disabled], - fieldset[disabled] .button.is-black { - background-color: #0a0a0a; - border-color: transparent; - box-shadow: none; } - .button.is-black.is-inverted { - background-color: white; - color: #0a0a0a; } - .button.is-black.is-inverted:hover, .button.is-black.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-black.is-inverted[disabled], - fieldset[disabled] .button.is-black.is-inverted { - background-color: white; - border-color: transparent; - box-shadow: none; - color: #0a0a0a; } - .button.is-black.is-loading::after { - border-color: transparent transparent white white !important; } - .button.is-black.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - color: #0a0a0a; } - .button.is-black.is-outlined:hover, .button.is-black.is-outlined.is-hovered, .button.is-black.is-outlined:focus, .button.is-black.is-outlined.is-focused { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - .button.is-black.is-outlined.is-loading::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - .button.is-black.is-outlined.is-loading:hover::after, .button.is-black.is-outlined.is-loading.is-hovered::after, .button.is-black.is-outlined.is-loading:focus::after, .button.is-black.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent white white !important; } - .button.is-black.is-outlined[disabled], - fieldset[disabled] .button.is-black.is-outlined { - background-color: transparent; - border-color: #0a0a0a; - box-shadow: none; - color: #0a0a0a; } - .button.is-black.is-inverted.is-outlined { - background-color: transparent; - border-color: white; - color: white; } - .button.is-black.is-inverted.is-outlined:hover, .button.is-black.is-inverted.is-outlined.is-hovered, .button.is-black.is-inverted.is-outlined:focus, .button.is-black.is-inverted.is-outlined.is-focused { - background-color: white; - color: #0a0a0a; } - .button.is-black.is-inverted.is-outlined.is-loading:hover::after, .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-black.is-inverted.is-outlined.is-loading:focus::after, .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #0a0a0a #0a0a0a !important; } - .button.is-black.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-black.is-inverted.is-outlined { - background-color: transparent; - border-color: white; - box-shadow: none; - color: white; } - .button.is-light { - background-color: whitesmoke; - border-color: transparent; - color: #363636; } - .button.is-light:hover, .button.is-light.is-hovered { - background-color: #eeeeee; - border-color: transparent; - color: #363636; } - .button.is-light:focus, .button.is-light.is-focused { - border-color: transparent; - color: #363636; } - .button.is-light:focus:not(:active), .button.is-light.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } - .button.is-light:active, .button.is-light.is-active { - background-color: #e8e8e8; - border-color: transparent; - color: #363636; } - .button.is-light[disabled], - fieldset[disabled] .button.is-light { - background-color: whitesmoke; - border-color: transparent; - box-shadow: none; } - .button.is-light.is-inverted { - background-color: #363636; - color: whitesmoke; } - .button.is-light.is-inverted:hover, .button.is-light.is-inverted.is-hovered { - background-color: #292929; } - .button.is-light.is-inverted[disabled], - fieldset[disabled] .button.is-light.is-inverted { - background-color: #363636; - border-color: transparent; - box-shadow: none; - color: whitesmoke; } - .button.is-light.is-loading::after { - border-color: transparent transparent #363636 #363636 !important; } - .button.is-light.is-outlined { - background-color: transparent; - border-color: whitesmoke; - color: whitesmoke; } - .button.is-light.is-outlined:hover, .button.is-light.is-outlined.is-hovered, .button.is-light.is-outlined:focus, .button.is-light.is-outlined.is-focused { - background-color: whitesmoke; - border-color: whitesmoke; - color: #363636; } - .button.is-light.is-outlined.is-loading::after { - border-color: transparent transparent whitesmoke whitesmoke !important; } - .button.is-light.is-outlined.is-loading:hover::after, .button.is-light.is-outlined.is-loading.is-hovered::after, .button.is-light.is-outlined.is-loading:focus::after, .button.is-light.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #363636 #363636 !important; } - .button.is-light.is-outlined[disabled], - fieldset[disabled] .button.is-light.is-outlined { - background-color: transparent; - border-color: whitesmoke; - box-shadow: none; - color: whitesmoke; } - .button.is-light.is-inverted.is-outlined { - background-color: transparent; - border-color: #363636; - color: #363636; } - .button.is-light.is-inverted.is-outlined:hover, .button.is-light.is-inverted.is-outlined.is-hovered, .button.is-light.is-inverted.is-outlined:focus, .button.is-light.is-inverted.is-outlined.is-focused { - background-color: #363636; - color: whitesmoke; } - .button.is-light.is-inverted.is-outlined.is-loading:hover::after, .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-light.is-inverted.is-outlined.is-loading:focus::after, .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent whitesmoke whitesmoke !important; } - .button.is-light.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-light.is-inverted.is-outlined { - background-color: transparent; - border-color: #363636; - box-shadow: none; - color: #363636; } - .button.is-dark, .content kbd.button { - background-color: #363636; - border-color: transparent; - color: whitesmoke; } - .button.is-dark:hover, .content kbd.button:hover, .button.is-dark.is-hovered, .content kbd.button.is-hovered { - background-color: #2f2f2f; - border-color: transparent; - color: whitesmoke; } - .button.is-dark:focus, .content kbd.button:focus, .button.is-dark.is-focused, .content kbd.button.is-focused { - border-color: transparent; - color: whitesmoke; } - .button.is-dark:focus:not(:active), .content kbd.button:focus:not(:active), .button.is-dark.is-focused:not(:active), .content kbd.button.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } - .button.is-dark:active, .content kbd.button:active, .button.is-dark.is-active, .content kbd.button.is-active { - background-color: #292929; - border-color: transparent; - color: whitesmoke; } - .button.is-dark[disabled], .content kbd.button[disabled], - fieldset[disabled] .button.is-dark, - fieldset[disabled] .content kbd.button, - .content fieldset[disabled] kbd.button { - background-color: #363636; - border-color: transparent; - box-shadow: none; } - .button.is-dark.is-inverted, .content kbd.button.is-inverted { - background-color: whitesmoke; - color: #363636; } - .button.is-dark.is-inverted:hover, .content kbd.button.is-inverted:hover, .button.is-dark.is-inverted.is-hovered, .content kbd.button.is-inverted.is-hovered { - background-color: #e8e8e8; } - .button.is-dark.is-inverted[disabled], .content kbd.button.is-inverted[disabled], - fieldset[disabled] .button.is-dark.is-inverted, - fieldset[disabled] .content kbd.button.is-inverted, - .content fieldset[disabled] kbd.button.is-inverted { - background-color: whitesmoke; - border-color: transparent; - box-shadow: none; - color: #363636; } - .button.is-dark.is-loading::after, .content kbd.button.is-loading::after { - border-color: transparent transparent whitesmoke whitesmoke !important; } - .button.is-dark.is-outlined, .content kbd.button.is-outlined { - background-color: transparent; - border-color: #363636; - color: #363636; } - .button.is-dark.is-outlined:hover, .content kbd.button.is-outlined:hover, .button.is-dark.is-outlined.is-hovered, .content kbd.button.is-outlined.is-hovered, .button.is-dark.is-outlined:focus, .content kbd.button.is-outlined:focus, .button.is-dark.is-outlined.is-focused, .content kbd.button.is-outlined.is-focused { - background-color: #363636; - border-color: #363636; - color: whitesmoke; } - .button.is-dark.is-outlined.is-loading::after, .content kbd.button.is-outlined.is-loading::after { - border-color: transparent transparent #363636 #363636 !important; } - .button.is-dark.is-outlined.is-loading:hover::after, .content kbd.button.is-outlined.is-loading:hover::after, .button.is-dark.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-outlined.is-loading:focus::after, .content kbd.button.is-outlined.is-loading:focus::after, .button.is-dark.is-outlined.is-loading.is-focused::after, .content kbd.button.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent whitesmoke whitesmoke !important; } - .button.is-dark.is-outlined[disabled], .content kbd.button.is-outlined[disabled], - fieldset[disabled] .button.is-dark.is-outlined, - fieldset[disabled] .content kbd.button.is-outlined, - .content fieldset[disabled] kbd.button.is-outlined { - background-color: transparent; - border-color: #363636; - box-shadow: none; - color: #363636; } - .button.is-dark.is-inverted.is-outlined, .content kbd.button.is-inverted.is-outlined { - background-color: transparent; - border-color: whitesmoke; - color: whitesmoke; } - .button.is-dark.is-inverted.is-outlined:hover, .content kbd.button.is-inverted.is-outlined:hover, .button.is-dark.is-inverted.is-outlined.is-hovered, .content kbd.button.is-inverted.is-outlined.is-hovered, .button.is-dark.is-inverted.is-outlined:focus, .content kbd.button.is-inverted.is-outlined:focus, .button.is-dark.is-inverted.is-outlined.is-focused, .content kbd.button.is-inverted.is-outlined.is-focused { - background-color: whitesmoke; - color: #363636; } - .button.is-dark.is-inverted.is-outlined.is-loading:hover::after, .content kbd.button.is-inverted.is-outlined.is-loading:hover::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-dark.is-inverted.is-outlined.is-loading:focus::after, .content kbd.button.is-inverted.is-outlined.is-loading:focus::after, .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after, .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #363636 #363636 !important; } - .button.is-dark.is-inverted.is-outlined[disabled], .content kbd.button.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-dark.is-inverted.is-outlined, - fieldset[disabled] .content kbd.button.is-inverted.is-outlined, - .content fieldset[disabled] kbd.button.is-inverted.is-outlined { - background-color: transparent; - border-color: whitesmoke; - box-shadow: none; - color: whitesmoke; } - .button.is-primary, .docstring > section > a.button.docs-sourcelink { - background-color: #4eb5de; - border-color: transparent; - color: #fff; } - .button.is-primary:hover, .docstring > section > a.button.docs-sourcelink:hover, .button.is-primary.is-hovered, .docstring > section > a.button.is-hovered.docs-sourcelink { - background-color: #43b1dc; - border-color: transparent; - color: #fff; } - .button.is-primary:focus, .docstring > section > a.button.docs-sourcelink:focus, .button.is-primary.is-focused, .docstring > section > a.button.is-focused.docs-sourcelink { - border-color: transparent; - color: #fff; } - .button.is-primary:focus:not(:active), .docstring > section > a.button.docs-sourcelink:focus:not(:active), .button.is-primary.is-focused:not(:active), .docstring > section > a.button.is-focused.docs-sourcelink:not(:active) { - box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } - .button.is-primary:active, .docstring > section > a.button.docs-sourcelink:active, .button.is-primary.is-active, .docstring > section > a.button.is-active.docs-sourcelink { - background-color: #39acda; - border-color: transparent; - color: #fff; } - .button.is-primary[disabled], .docstring > section > a.button.docs-sourcelink[disabled], - fieldset[disabled] .button.is-primary, - fieldset[disabled] .docstring > section > a.button.docs-sourcelink { - background-color: #4eb5de; - border-color: transparent; - box-shadow: none; } - .button.is-primary.is-inverted, .docstring > section > a.button.is-inverted.docs-sourcelink { - background-color: #fff; - color: #4eb5de; } - .button.is-primary.is-inverted:hover, .docstring > section > a.button.is-inverted.docs-sourcelink:hover, .button.is-primary.is-inverted.is-hovered, .docstring > section > a.button.is-inverted.is-hovered.docs-sourcelink { - background-color: #f2f2f2; } - .button.is-primary.is-inverted[disabled], .docstring > section > a.button.is-inverted.docs-sourcelink[disabled], - fieldset[disabled] .button.is-primary.is-inverted, - fieldset[disabled] .docstring > section > a.button.is-inverted.docs-sourcelink { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #4eb5de; } - .button.is-primary.is-loading::after, .docstring > section > a.button.is-loading.docs-sourcelink::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-primary.is-outlined, .docstring > section > a.button.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #4eb5de; - color: #4eb5de; } - .button.is-primary.is-outlined:hover, .docstring > section > a.button.is-outlined.docs-sourcelink:hover, .button.is-primary.is-outlined.is-hovered, .docstring > section > a.button.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-outlined:focus, .docstring > section > a.button.is-outlined.docs-sourcelink:focus, .button.is-primary.is-outlined.is-focused, .docstring > section > a.button.is-outlined.is-focused.docs-sourcelink { - background-color: #4eb5de; - border-color: #4eb5de; - color: #fff; } - .button.is-primary.is-outlined.is-loading::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink::after { - border-color: transparent transparent #4eb5de #4eb5de !important; } - .button.is-primary.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-primary.is-outlined[disabled], .docstring > section > a.button.is-outlined.docs-sourcelink[disabled], - fieldset[disabled] .button.is-primary.is-outlined, - fieldset[disabled] .docstring > section > a.button.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #4eb5de; - box-shadow: none; - color: #4eb5de; } - .button.is-primary.is-inverted.is-outlined, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-primary.is-inverted.is-outlined:hover, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:hover, .button.is-primary.is-inverted.is-outlined.is-hovered, .docstring > section > a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink, .button.is-primary.is-inverted.is-outlined:focus, .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink:focus, .button.is-primary.is-inverted.is-outlined.is-focused, .docstring > section > a.button.is-inverted.is-outlined.is-focused.docs-sourcelink { - background-color: #fff; - color: #4eb5de; } - .button.is-primary.is-inverted.is-outlined.is-loading:hover::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after, .button.is-primary.is-inverted.is-outlined.is-loading:focus::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after, .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after, .docstring > section > a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after { - border-color: transparent transparent #4eb5de #4eb5de !important; } - .button.is-primary.is-inverted.is-outlined[disabled], .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink[disabled], - fieldset[disabled] .button.is-primary.is-inverted.is-outlined, - fieldset[disabled] .docstring > section > a.button.is-inverted.is-outlined.docs-sourcelink { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-link { - background-color: #2e63b8; - border-color: transparent; - color: #fff; } - .button.is-link:hover, .button.is-link.is-hovered { - background-color: #2b5eae; - border-color: transparent; - color: #fff; } - .button.is-link:focus, .button.is-link.is-focused { - border-color: transparent; - color: #fff; } - .button.is-link:focus:not(:active), .button.is-link.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .button.is-link:active, .button.is-link.is-active { - background-color: #2958a4; - border-color: transparent; - color: #fff; } - .button.is-link[disabled], - fieldset[disabled] .button.is-link { - background-color: #2e63b8; - border-color: transparent; - box-shadow: none; } - .button.is-link.is-inverted { - background-color: #fff; - color: #2e63b8; } - .button.is-link.is-inverted:hover, .button.is-link.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-link.is-inverted[disabled], - fieldset[disabled] .button.is-link.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #2e63b8; } - .button.is-link.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-link.is-outlined { - background-color: transparent; - border-color: #2e63b8; - color: #2e63b8; } - .button.is-link.is-outlined:hover, .button.is-link.is-outlined.is-hovered, .button.is-link.is-outlined:focus, .button.is-link.is-outlined.is-focused { - background-color: #2e63b8; - border-color: #2e63b8; - color: #fff; } - .button.is-link.is-outlined.is-loading::after { - border-color: transparent transparent #2e63b8 #2e63b8 !important; } - .button.is-link.is-outlined.is-loading:hover::after, .button.is-link.is-outlined.is-loading.is-hovered::after, .button.is-link.is-outlined.is-loading:focus::after, .button.is-link.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-link.is-outlined[disabled], - fieldset[disabled] .button.is-link.is-outlined { - background-color: transparent; - border-color: #2e63b8; - box-shadow: none; - color: #2e63b8; } - .button.is-link.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-link.is-inverted.is-outlined:hover, .button.is-link.is-inverted.is-outlined.is-hovered, .button.is-link.is-inverted.is-outlined:focus, .button.is-link.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #2e63b8; } - .button.is-link.is-inverted.is-outlined.is-loading:hover::after, .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-link.is-inverted.is-outlined.is-loading:focus::after, .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #2e63b8 #2e63b8 !important; } - .button.is-link.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-link.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-info { - background-color: #209cee; - border-color: transparent; - color: #fff; } - .button.is-info:hover, .button.is-info.is-hovered { - background-color: #1497ed; - border-color: transparent; - color: #fff; } - .button.is-info:focus, .button.is-info.is-focused { - border-color: transparent; - color: #fff; } - .button.is-info:focus:not(:active), .button.is-info.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } - .button.is-info:active, .button.is-info.is-active { - background-color: #1190e3; - border-color: transparent; - color: #fff; } - .button.is-info[disabled], - fieldset[disabled] .button.is-info { - background-color: #209cee; - border-color: transparent; - box-shadow: none; } - .button.is-info.is-inverted { - background-color: #fff; - color: #209cee; } - .button.is-info.is-inverted:hover, .button.is-info.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-info.is-inverted[disabled], - fieldset[disabled] .button.is-info.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #209cee; } - .button.is-info.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-info.is-outlined { - background-color: transparent; - border-color: #209cee; - color: #209cee; } - .button.is-info.is-outlined:hover, .button.is-info.is-outlined.is-hovered, .button.is-info.is-outlined:focus, .button.is-info.is-outlined.is-focused { - background-color: #209cee; - border-color: #209cee; - color: #fff; } - .button.is-info.is-outlined.is-loading::after { - border-color: transparent transparent #209cee #209cee !important; } - .button.is-info.is-outlined.is-loading:hover::after, .button.is-info.is-outlined.is-loading.is-hovered::after, .button.is-info.is-outlined.is-loading:focus::after, .button.is-info.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-info.is-outlined[disabled], - fieldset[disabled] .button.is-info.is-outlined { - background-color: transparent; - border-color: #209cee; - box-shadow: none; - color: #209cee; } - .button.is-info.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-info.is-inverted.is-outlined:hover, .button.is-info.is-inverted.is-outlined.is-hovered, .button.is-info.is-inverted.is-outlined:focus, .button.is-info.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #209cee; } - .button.is-info.is-inverted.is-outlined.is-loading:hover::after, .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-info.is-inverted.is-outlined.is-loading:focus::after, .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #209cee #209cee !important; } - .button.is-info.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-info.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-success { - background-color: #22c35b; - border-color: transparent; - color: #fff; } - .button.is-success:hover, .button.is-success.is-hovered { - background-color: #20b856; - border-color: transparent; - color: #fff; } - .button.is-success:focus, .button.is-success.is-focused { - border-color: transparent; - color: #fff; } - .button.is-success:focus:not(:active), .button.is-success.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } - .button.is-success:active, .button.is-success.is-active { - background-color: #1ead51; - border-color: transparent; - color: #fff; } - .button.is-success[disabled], - fieldset[disabled] .button.is-success { - background-color: #22c35b; - border-color: transparent; - box-shadow: none; } - .button.is-success.is-inverted { - background-color: #fff; - color: #22c35b; } - .button.is-success.is-inverted:hover, .button.is-success.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-success.is-inverted[disabled], - fieldset[disabled] .button.is-success.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #22c35b; } - .button.is-success.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-success.is-outlined { - background-color: transparent; - border-color: #22c35b; - color: #22c35b; } - .button.is-success.is-outlined:hover, .button.is-success.is-outlined.is-hovered, .button.is-success.is-outlined:focus, .button.is-success.is-outlined.is-focused { - background-color: #22c35b; - border-color: #22c35b; - color: #fff; } - .button.is-success.is-outlined.is-loading::after { - border-color: transparent transparent #22c35b #22c35b !important; } - .button.is-success.is-outlined.is-loading:hover::after, .button.is-success.is-outlined.is-loading.is-hovered::after, .button.is-success.is-outlined.is-loading:focus::after, .button.is-success.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-success.is-outlined[disabled], - fieldset[disabled] .button.is-success.is-outlined { - background-color: transparent; - border-color: #22c35b; - box-shadow: none; - color: #22c35b; } - .button.is-success.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-success.is-inverted.is-outlined:hover, .button.is-success.is-inverted.is-outlined.is-hovered, .button.is-success.is-inverted.is-outlined:focus, .button.is-success.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #22c35b; } - .button.is-success.is-inverted.is-outlined.is-loading:hover::after, .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-success.is-inverted.is-outlined.is-loading:focus::after, .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #22c35b #22c35b !important; } - .button.is-success.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-success.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-warning { - background-color: #ffdd57; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning:hover, .button.is-warning.is-hovered { - background-color: #ffda4a; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning:focus, .button.is-warning.is-focused { - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning:focus:not(:active), .button.is-warning.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } - .button.is-warning:active, .button.is-warning.is-active { - background-color: #ffd83e; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning[disabled], - fieldset[disabled] .button.is-warning { - background-color: #ffdd57; - border-color: transparent; - box-shadow: none; } - .button.is-warning.is-inverted { - background-color: rgba(0, 0, 0, 0.7); - color: #ffdd57; } - .button.is-warning.is-inverted:hover, .button.is-warning.is-inverted.is-hovered { - background-color: rgba(0, 0, 0, 0.7); } - .button.is-warning.is-inverted[disabled], - fieldset[disabled] .button.is-warning.is-inverted { - background-color: rgba(0, 0, 0, 0.7); - border-color: transparent; - box-shadow: none; - color: #ffdd57; } - .button.is-warning.is-loading::after { - border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; } - .button.is-warning.is-outlined { - background-color: transparent; - border-color: #ffdd57; - color: #ffdd57; } - .button.is-warning.is-outlined:hover, .button.is-warning.is-outlined.is-hovered, .button.is-warning.is-outlined:focus, .button.is-warning.is-outlined.is-focused { - background-color: #ffdd57; - border-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .button.is-warning.is-outlined.is-loading::after { - border-color: transparent transparent #ffdd57 #ffdd57 !important; } - .button.is-warning.is-outlined.is-loading:hover::after, .button.is-warning.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-outlined.is-loading:focus::after, .button.is-warning.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent rgba(0, 0, 0, 0.7) rgba(0, 0, 0, 0.7) !important; } - .button.is-warning.is-outlined[disabled], - fieldset[disabled] .button.is-warning.is-outlined { - background-color: transparent; - border-color: #ffdd57; - box-shadow: none; - color: #ffdd57; } - .button.is-warning.is-inverted.is-outlined { - background-color: transparent; - border-color: rgba(0, 0, 0, 0.7); - color: rgba(0, 0, 0, 0.7); } - .button.is-warning.is-inverted.is-outlined:hover, .button.is-warning.is-inverted.is-outlined.is-hovered, .button.is-warning.is-inverted.is-outlined:focus, .button.is-warning.is-inverted.is-outlined.is-focused { - background-color: rgba(0, 0, 0, 0.7); - color: #ffdd57; } - .button.is-warning.is-inverted.is-outlined.is-loading:hover::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-warning.is-inverted.is-outlined.is-loading:focus::after, .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #ffdd57 #ffdd57 !important; } - .button.is-warning.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-warning.is-inverted.is-outlined { - background-color: transparent; - border-color: rgba(0, 0, 0, 0.7); - box-shadow: none; - color: rgba(0, 0, 0, 0.7); } - .button.is-danger { - background-color: #da0b00; - border-color: transparent; - color: #fff; } - .button.is-danger:hover, .button.is-danger.is-hovered { - background-color: #cd0a00; - border-color: transparent; - color: #fff; } - .button.is-danger:focus, .button.is-danger.is-focused { - border-color: transparent; - color: #fff; } - .button.is-danger:focus:not(:active), .button.is-danger.is-focused:not(:active) { - box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } - .button.is-danger:active, .button.is-danger.is-active { - background-color: #c10a00; - border-color: transparent; - color: #fff; } - .button.is-danger[disabled], - fieldset[disabled] .button.is-danger { - background-color: #da0b00; - border-color: transparent; - box-shadow: none; } - .button.is-danger.is-inverted { - background-color: #fff; - color: #da0b00; } - .button.is-danger.is-inverted:hover, .button.is-danger.is-inverted.is-hovered { - background-color: #f2f2f2; } - .button.is-danger.is-inverted[disabled], - fieldset[disabled] .button.is-danger.is-inverted { - background-color: #fff; - border-color: transparent; - box-shadow: none; - color: #da0b00; } - .button.is-danger.is-loading::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-danger.is-outlined { - background-color: transparent; - border-color: #da0b00; - color: #da0b00; } - .button.is-danger.is-outlined:hover, .button.is-danger.is-outlined.is-hovered, .button.is-danger.is-outlined:focus, .button.is-danger.is-outlined.is-focused { - background-color: #da0b00; - border-color: #da0b00; - color: #fff; } - .button.is-danger.is-outlined.is-loading::after { - border-color: transparent transparent #da0b00 #da0b00 !important; } - .button.is-danger.is-outlined.is-loading:hover::after, .button.is-danger.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-outlined.is-loading:focus::after, .button.is-danger.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #fff #fff !important; } - .button.is-danger.is-outlined[disabled], - fieldset[disabled] .button.is-danger.is-outlined { - background-color: transparent; - border-color: #da0b00; - box-shadow: none; - color: #da0b00; } - .button.is-danger.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - color: #fff; } - .button.is-danger.is-inverted.is-outlined:hover, .button.is-danger.is-inverted.is-outlined.is-hovered, .button.is-danger.is-inverted.is-outlined:focus, .button.is-danger.is-inverted.is-outlined.is-focused { - background-color: #fff; - color: #da0b00; } - .button.is-danger.is-inverted.is-outlined.is-loading:hover::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after, .button.is-danger.is-inverted.is-outlined.is-loading:focus::after, .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after { - border-color: transparent transparent #da0b00 #da0b00 !important; } - .button.is-danger.is-inverted.is-outlined[disabled], - fieldset[disabled] .button.is-danger.is-inverted.is-outlined { - background-color: transparent; - border-color: #fff; - box-shadow: none; - color: #fff; } - .button.is-small, #documenter .docs-sidebar form.docs-search > input.button { - border-radius: 2px; - font-size: 0.75rem; } - .button.is-normal { - font-size: 1rem; } - .button.is-medium { - font-size: 1.25rem; } - .button.is-large { - font-size: 1.5rem; } - .button[disabled], - fieldset[disabled] .button { - background-color: white; - border-color: #dbdbdb; - box-shadow: none; - opacity: 0.5; } - .button.is-fullwidth { - display: flex; - width: 100%; } - .button.is-loading { - color: transparent !important; - pointer-events: none; } - .button.is-loading::after { - position: absolute; - left: calc(50% - (1em / 2)); - top: calc(50% - (1em / 2)); - position: absolute !important; } - .button.is-static { - background-color: whitesmoke; - border-color: #dbdbdb; - color: #6b6b6b; - box-shadow: none; - pointer-events: none; } - .button.is-rounded, #documenter .docs-sidebar form.docs-search > input.button { - border-radius: 290486px; - padding-left: 1em; - padding-right: 1em; } - -.buttons { - align-items: center; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - .buttons .button { - margin-bottom: 0.5rem; } - .buttons .button:not(:last-child):not(.is-fullwidth) { - margin-right: 0.5rem; } - .buttons:last-child { - margin-bottom: -0.5rem; } - .buttons:not(:last-child) { - margin-bottom: 1rem; } - .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large) { - border-radius: 2px; - font-size: 0.75rem; } - .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large) { - font-size: 1.25rem; } - .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium) { - font-size: 1.5rem; } - .buttons.has-addons .button:not(:first-child) { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - .buttons.has-addons .button:not(:last-child) { - border-bottom-right-radius: 0; - border-top-right-radius: 0; - margin-right: -1px; } - .buttons.has-addons .button:last-child { - margin-right: 0; } - .buttons.has-addons .button:hover, .buttons.has-addons .button.is-hovered { - z-index: 2; } - .buttons.has-addons .button:focus, .buttons.has-addons .button.is-focused, .buttons.has-addons .button:active, .buttons.has-addons .button.is-active, .buttons.has-addons .button.is-selected { - z-index: 3; } - .buttons.has-addons .button:focus:hover, .buttons.has-addons .button.is-focused:hover, .buttons.has-addons .button:active:hover, .buttons.has-addons .button.is-active:hover, .buttons.has-addons .button.is-selected:hover { - z-index: 4; } - .buttons.has-addons .button.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - .buttons.is-centered { - justify-content: center; } - .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth) { - margin-left: 0.25rem; - margin-right: 0.25rem; } - .buttons.is-right { - justify-content: flex-end; } - .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth) { - margin-left: 0.25rem; - margin-right: 0.25rem; } - -.container { - flex-grow: 1; - margin: 0 auto; - position: relative; - width: auto; } - @media screen and (min-width: 1056px) { - .container { - max-width: 992px; } - .container.is-fluid { - margin-left: 32px; - margin-right: 32px; - max-width: none; } } - @media screen and (max-width: 1215px) { - .container.is-widescreen { - max-width: 1152px; } } - @media screen and (max-width: 1407px) { - .container.is-fullhd { - max-width: 1344px; } } - @media screen and (min-width: 1216px) { - .container { - max-width: 1152px; } } - @media screen and (min-width: 1408px) { - .container { - max-width: 1344px; } } - -.content li + li { - margin-top: 0.25em; } - -.content p:not(:last-child), -.content dl:not(:last-child), -.content ol:not(:last-child), -.content ul:not(:last-child), -.content blockquote:not(:last-child), -.content pre:not(:last-child), -.content table:not(:last-child) { - margin-bottom: 1em; } - -.content h1, -.content h2, -.content h3, -.content h4, -.content h5, -.content h6 { - color: #222222; - font-weight: 600; - line-height: 1.125; } - -.content h1 { - font-size: 2em; - margin-bottom: 0.5em; } - .content h1:not(:first-child) { - margin-top: 1em; } - -.content h2 { - font-size: 1.75em; - margin-bottom: 0.5714em; } - .content h2:not(:first-child) { - margin-top: 1.1428em; } - -.content h3 { - font-size: 1.5em; - margin-bottom: 0.6666em; } - .content h3:not(:first-child) { - margin-top: 1.3333em; } - -.content h4 { - font-size: 1.25em; - margin-bottom: 0.8em; } - -.content h5 { - font-size: 1.125em; - margin-bottom: 0.8888em; } - -.content h6 { - font-size: 1em; - margin-bottom: 1em; } - -.content blockquote { - background-color: whitesmoke; - border-left: 5px solid #dbdbdb; - padding: 1.25em 1.5em; } - -.content ol { - list-style-position: outside; - margin-left: 2em; - margin-top: 1em; } - .content ol:not([type]) { - list-style-type: decimal; } - .content ol:not([type]).is-lower-alpha { - list-style-type: lower-alpha; } - .content ol:not([type]).is-lower-roman { - list-style-type: lower-roman; } - .content ol:not([type]).is-upper-alpha { - list-style-type: upper-alpha; } - .content ol:not([type]).is-upper-roman { - list-style-type: upper-roman; } - -.content ul { - list-style: disc outside; - margin-left: 2em; - margin-top: 1em; } - .content ul ul { - list-style-type: circle; - margin-top: 0.5em; } - .content ul ul ul { - list-style-type: square; } - -.content dd { - margin-left: 2em; } - -.content figure { - margin-left: 2em; - margin-right: 2em; - text-align: center; } - .content figure:not(:first-child) { - margin-top: 2em; } - .content figure:not(:last-child) { - margin-bottom: 2em; } - .content figure img { - display: inline-block; } - .content figure figcaption { - font-style: italic; } - -.content pre { - -webkit-overflow-scrolling: touch; - overflow-x: auto; - padding: 0.7rem 0.5rem; - white-space: pre; - word-wrap: normal; } - -.content sup, -.content sub { - font-size: 75%; } - -.content table { - width: 100%; } - .content table td, - .content table th { - border: 1px solid #dbdbdb; - border-width: 0 0 1px; - padding: 0.5em 0.75em; - vertical-align: top; } - .content table th { - color: #222222; } - .content table th:not([align]) { - text-align: left; } - .content table thead td, - .content table thead th { - border-width: 0 0 2px; - color: #222222; } - .content table tfoot td, - .content table tfoot th { - border-width: 2px 0 0; - color: #222222; } - .content table tbody tr:last-child td, - .content table tbody tr:last-child th { - border-bottom-width: 0; } - -.content .tabs li + li { - margin-top: 0; } - -.content.is-small, #documenter .docs-sidebar form.docs-search > input.content { - font-size: 0.75rem; } - -.content.is-medium { - font-size: 1.25rem; } - -.content.is-large { - font-size: 1.5rem; } - -.icon { - align-items: center; - display: inline-flex; - justify-content: center; - height: 1.5rem; - width: 1.5rem; } - .icon.is-small, #documenter .docs-sidebar form.docs-search > input.icon { - height: 1rem; - width: 1rem; } - .icon.is-medium { - height: 2rem; - width: 2rem; } - .icon.is-large { - height: 3rem; - width: 3rem; } - -.image, #documenter .docs-sidebar .docs-logo > img { - display: block; - position: relative; } - .image img, #documenter .docs-sidebar .docs-logo > img img { - display: block; - height: auto; - width: 100%; } - .image img.is-rounded, #documenter .docs-sidebar .docs-logo > img img.is-rounded { - border-radius: 290486px; } - .image.is-square img, #documenter .docs-sidebar .docs-logo > img.is-square img, - .image.is-square .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-square .has-ratio, .image.is-1by1 img, #documenter .docs-sidebar .docs-logo > img.is-1by1 img, - .image.is-1by1 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-1by1 .has-ratio, .image.is-5by4 img, #documenter .docs-sidebar .docs-logo > img.is-5by4 img, - .image.is-5by4 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-5by4 .has-ratio, .image.is-4by3 img, #documenter .docs-sidebar .docs-logo > img.is-4by3 img, - .image.is-4by3 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-4by3 .has-ratio, .image.is-3by2 img, #documenter .docs-sidebar .docs-logo > img.is-3by2 img, - .image.is-3by2 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-3by2 .has-ratio, .image.is-5by3 img, #documenter .docs-sidebar .docs-logo > img.is-5by3 img, - .image.is-5by3 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-5by3 .has-ratio, .image.is-16by9 img, #documenter .docs-sidebar .docs-logo > img.is-16by9 img, - .image.is-16by9 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-16by9 .has-ratio, .image.is-2by1 img, #documenter .docs-sidebar .docs-logo > img.is-2by1 img, - .image.is-2by1 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-2by1 .has-ratio, .image.is-3by1 img, #documenter .docs-sidebar .docs-logo > img.is-3by1 img, - .image.is-3by1 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-3by1 .has-ratio, .image.is-4by5 img, #documenter .docs-sidebar .docs-logo > img.is-4by5 img, - .image.is-4by5 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-4by5 .has-ratio, .image.is-3by4 img, #documenter .docs-sidebar .docs-logo > img.is-3by4 img, - .image.is-3by4 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-3by4 .has-ratio, .image.is-2by3 img, #documenter .docs-sidebar .docs-logo > img.is-2by3 img, - .image.is-2by3 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-2by3 .has-ratio, .image.is-3by5 img, #documenter .docs-sidebar .docs-logo > img.is-3by5 img, - .image.is-3by5 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-3by5 .has-ratio, .image.is-9by16 img, #documenter .docs-sidebar .docs-logo > img.is-9by16 img, - .image.is-9by16 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-9by16 .has-ratio, .image.is-1by2 img, #documenter .docs-sidebar .docs-logo > img.is-1by2 img, - .image.is-1by2 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-1by2 .has-ratio, .image.is-1by3 img, #documenter .docs-sidebar .docs-logo > img.is-1by3 img, - .image.is-1by3 .has-ratio, - #documenter .docs-sidebar .docs-logo > img.is-1by3 .has-ratio { - height: 100%; - width: 100%; } - .image.is-square, #documenter .docs-sidebar .docs-logo > img.is-square, .image.is-1by1, #documenter .docs-sidebar .docs-logo > img.is-1by1 { - padding-top: 100%; } - .image.is-5by4, #documenter .docs-sidebar .docs-logo > img.is-5by4 { - padding-top: 80%; } - .image.is-4by3, #documenter .docs-sidebar .docs-logo > img.is-4by3 { - padding-top: 75%; } - .image.is-3by2, #documenter .docs-sidebar .docs-logo > img.is-3by2 { - padding-top: 66.6666%; } - .image.is-5by3, #documenter .docs-sidebar .docs-logo > img.is-5by3 { - padding-top: 60%; } - .image.is-16by9, #documenter .docs-sidebar .docs-logo > img.is-16by9 { - padding-top: 56.25%; } - .image.is-2by1, #documenter .docs-sidebar .docs-logo > img.is-2by1 { - padding-top: 50%; } - .image.is-3by1, #documenter .docs-sidebar .docs-logo > img.is-3by1 { - padding-top: 33.3333%; } - .image.is-4by5, #documenter .docs-sidebar .docs-logo > img.is-4by5 { - padding-top: 125%; } - .image.is-3by4, #documenter .docs-sidebar .docs-logo > img.is-3by4 { - padding-top: 133.3333%; } - .image.is-2by3, #documenter .docs-sidebar .docs-logo > img.is-2by3 { - padding-top: 150%; } - .image.is-3by5, #documenter .docs-sidebar .docs-logo > img.is-3by5 { - padding-top: 166.6666%; } - .image.is-9by16, #documenter .docs-sidebar .docs-logo > img.is-9by16 { - padding-top: 177.7777%; } - .image.is-1by2, #documenter .docs-sidebar .docs-logo > img.is-1by2 { - padding-top: 200%; } - .image.is-1by3, #documenter .docs-sidebar .docs-logo > img.is-1by3 { - padding-top: 300%; } - .image.is-16x16, #documenter .docs-sidebar .docs-logo > img.is-16x16 { - height: 16px; - width: 16px; } - .image.is-24x24, #documenter .docs-sidebar .docs-logo > img.is-24x24 { - height: 24px; - width: 24px; } - .image.is-32x32, #documenter .docs-sidebar .docs-logo > img.is-32x32 { - height: 32px; - width: 32px; } - .image.is-48x48, #documenter .docs-sidebar .docs-logo > img.is-48x48 { - height: 48px; - width: 48px; } - .image.is-64x64, #documenter .docs-sidebar .docs-logo > img.is-64x64 { - height: 64px; - width: 64px; } - .image.is-96x96, #documenter .docs-sidebar .docs-logo > img.is-96x96 { - height: 96px; - width: 96px; } - .image.is-128x128, #documenter .docs-sidebar .docs-logo > img.is-128x128 { - height: 128px; - width: 128px; } - -.notification { - background-color: whitesmoke; - border-radius: 4px; - padding: 1.25rem 2.5rem 1.25rem 1.5rem; - position: relative; } - .notification a:not(.button):not(.dropdown-item) { - color: currentColor; - text-decoration: underline; } - .notification strong { - color: currentColor; } - .notification code, - .notification pre { - background: white; } - .notification pre code { - background: transparent; } - .notification > .delete { - position: absolute; - right: 0.5rem; - top: 0.5rem; } - .notification .title, - .notification .subtitle, - .notification .content { - color: currentColor; } - .notification.is-white { - background-color: white; - color: #0a0a0a; } - .notification.is-black { - background-color: #0a0a0a; - color: white; } - .notification.is-light { - background-color: whitesmoke; - color: #363636; } - .notification.is-dark, .content kbd.notification { - background-color: #363636; - color: whitesmoke; } - .notification.is-primary, .docstring > section > a.notification.docs-sourcelink { - background-color: #4eb5de; - color: #fff; } - .notification.is-link { - background-color: #2e63b8; - color: #fff; } - .notification.is-info { - background-color: #209cee; - color: #fff; } - .notification.is-success { - background-color: #22c35b; - color: #fff; } - .notification.is-warning { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .notification.is-danger { - background-color: #da0b00; - color: #fff; } - -.progress { - -moz-appearance: none; - -webkit-appearance: none; - border: none; - border-radius: 290486px; - display: block; - height: 1rem; - overflow: hidden; - padding: 0; - width: 100%; } - .progress::-webkit-progress-bar { - background-color: #dbdbdb; } - .progress::-webkit-progress-value { - background-color: #222222; } - .progress::-moz-progress-bar { - background-color: #222222; } - .progress::-ms-fill { - background-color: #222222; - border: none; } - .progress.is-white::-webkit-progress-value { - background-color: white; } - .progress.is-white::-moz-progress-bar { - background-color: white; } - .progress.is-white::-ms-fill { - background-color: white; } - .progress.is-white:indeterminate { - background-image: linear-gradient(to right, white 30%, #dbdbdb 30%); } - .progress.is-black::-webkit-progress-value { - background-color: #0a0a0a; } - .progress.is-black::-moz-progress-bar { - background-color: #0a0a0a; } - .progress.is-black::-ms-fill { - background-color: #0a0a0a; } - .progress.is-black:indeterminate { - background-image: linear-gradient(to right, #0a0a0a 30%, #dbdbdb 30%); } - .progress.is-light::-webkit-progress-value { - background-color: whitesmoke; } - .progress.is-light::-moz-progress-bar { - background-color: whitesmoke; } - .progress.is-light::-ms-fill { - background-color: whitesmoke; } - .progress.is-light:indeterminate { - background-image: linear-gradient(to right, whitesmoke 30%, #dbdbdb 30%); } - .progress.is-dark::-webkit-progress-value, .content kbd.progress::-webkit-progress-value { - background-color: #363636; } - .progress.is-dark::-moz-progress-bar, .content kbd.progress::-moz-progress-bar { - background-color: #363636; } - .progress.is-dark::-ms-fill, .content kbd.progress::-ms-fill { - background-color: #363636; } - .progress.is-dark:indeterminate, .content kbd.progress:indeterminate { - background-image: linear-gradient(to right, #363636 30%, #dbdbdb 30%); } - .progress.is-primary::-webkit-progress-value, .docstring > section > a.progress.docs-sourcelink::-webkit-progress-value { - background-color: #4eb5de; } - .progress.is-primary::-moz-progress-bar, .docstring > section > a.progress.docs-sourcelink::-moz-progress-bar { - background-color: #4eb5de; } - .progress.is-primary::-ms-fill, .docstring > section > a.progress.docs-sourcelink::-ms-fill { - background-color: #4eb5de; } - .progress.is-primary:indeterminate, .docstring > section > a.progress.docs-sourcelink:indeterminate { - background-image: linear-gradient(to right, #4eb5de 30%, #dbdbdb 30%); } - .progress.is-link::-webkit-progress-value { - background-color: #2e63b8; } - .progress.is-link::-moz-progress-bar { - background-color: #2e63b8; } - .progress.is-link::-ms-fill { - background-color: #2e63b8; } - .progress.is-link:indeterminate { - background-image: linear-gradient(to right, #2e63b8 30%, #dbdbdb 30%); } - .progress.is-info::-webkit-progress-value { - background-color: #209cee; } - .progress.is-info::-moz-progress-bar { - background-color: #209cee; } - .progress.is-info::-ms-fill { - background-color: #209cee; } - .progress.is-info:indeterminate { - background-image: linear-gradient(to right, #209cee 30%, #dbdbdb 30%); } - .progress.is-success::-webkit-progress-value { - background-color: #22c35b; } - .progress.is-success::-moz-progress-bar { - background-color: #22c35b; } - .progress.is-success::-ms-fill { - background-color: #22c35b; } - .progress.is-success:indeterminate { - background-image: linear-gradient(to right, #22c35b 30%, #dbdbdb 30%); } - .progress.is-warning::-webkit-progress-value { - background-color: #ffdd57; } - .progress.is-warning::-moz-progress-bar { - background-color: #ffdd57; } - .progress.is-warning::-ms-fill { - background-color: #ffdd57; } - .progress.is-warning:indeterminate { - background-image: linear-gradient(to right, #ffdd57 30%, #dbdbdb 30%); } - .progress.is-danger::-webkit-progress-value { - background-color: #da0b00; } - .progress.is-danger::-moz-progress-bar { - background-color: #da0b00; } - .progress.is-danger::-ms-fill { - background-color: #da0b00; } - .progress.is-danger:indeterminate { - background-image: linear-gradient(to right, #da0b00 30%, #dbdbdb 30%); } - .progress:indeterminate { - animation-duration: 1.5s; - animation-iteration-count: infinite; - animation-name: moveIndeterminate; - animation-timing-function: linear; - background-color: #dbdbdb; - background-image: linear-gradient(to right, #222222 30%, #dbdbdb 30%); - background-position: top left; - background-repeat: no-repeat; - background-size: 150% 150%; } - .progress:indeterminate::-webkit-progress-bar { - background-color: transparent; } - .progress:indeterminate::-moz-progress-bar { - background-color: transparent; } - .progress.is-small, #documenter .docs-sidebar form.docs-search > input.progress { - height: 0.75rem; } - .progress.is-medium { - height: 1.25rem; } - .progress.is-large { - height: 1.5rem; } - -@keyframes moveIndeterminate { - from { - background-position: 200% 0; } - to { - background-position: -200% 0; } } - -.table { - background-color: white; - color: #363636; } - .table td, - .table th { - border: 1px solid #dbdbdb; - border-width: 0 0 1px; - padding: 0.5em 0.75em; - vertical-align: top; } - .table td.is-white, - .table th.is-white { - background-color: white; - border-color: white; - color: #0a0a0a; } - .table td.is-black, - .table th.is-black { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - .table td.is-light, - .table th.is-light { - background-color: whitesmoke; - border-color: whitesmoke; - color: #363636; } - .table td.is-dark, - .table th.is-dark { - background-color: #363636; - border-color: #363636; - color: whitesmoke; } - .table td.is-primary, - .table th.is-primary { - background-color: #4eb5de; - border-color: #4eb5de; - color: #fff; } - .table td.is-link, - .table th.is-link { - background-color: #2e63b8; - border-color: #2e63b8; - color: #fff; } - .table td.is-info, - .table th.is-info { - background-color: #209cee; - border-color: #209cee; - color: #fff; } - .table td.is-success, - .table th.is-success { - background-color: #22c35b; - border-color: #22c35b; - color: #fff; } - .table td.is-warning, - .table th.is-warning { - background-color: #ffdd57; - border-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .table td.is-danger, - .table th.is-danger { - background-color: #da0b00; - border-color: #da0b00; - color: #fff; } - .table td.is-narrow, - .table th.is-narrow { - white-space: nowrap; - width: 1%; } - .table td.is-selected, - .table th.is-selected { - background-color: #4eb5de; - color: #fff; } - .table td.is-selected a, - .table td.is-selected strong, - .table th.is-selected a, - .table th.is-selected strong { - color: currentColor; } - .table th { - color: #222222; } - .table th:not([align]) { - text-align: left; } - .table tr.is-selected { - background-color: #4eb5de; - color: #fff; } - .table tr.is-selected a, - .table tr.is-selected strong { - color: currentColor; } - .table tr.is-selected td, - .table tr.is-selected th { - border-color: #fff; - color: currentColor; } - .table thead { - background-color: transparent; } - .table thead td, - .table thead th { - border-width: 0 0 2px; - color: #222222; } - .table tfoot { - background-color: transparent; } - .table tfoot td, - .table tfoot th { - border-width: 2px 0 0; - color: #222222; } - .table tbody { - background-color: transparent; } - .table tbody tr:last-child td, - .table tbody tr:last-child th { - border-bottom-width: 0; } - .table.is-bordered td, - .table.is-bordered th { - border-width: 1px; } - .table.is-bordered tr:last-child td, - .table.is-bordered tr:last-child th { - border-bottom-width: 1px; } - .table.is-fullwidth { - width: 100%; } - .table.is-hoverable tbody tr:not(.is-selected):hover { - background-color: #fafafa; } - .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover { - background-color: #fafafa; } - .table.is-hoverable.is-striped tbody tr:not(.is-selected):hover:nth-child(even) { - background-color: whitesmoke; } - .table.is-narrow td, - .table.is-narrow th { - padding: 0.25em 0.5em; } - .table.is-striped tbody tr:not(.is-selected):nth-child(even) { - background-color: #fafafa; } - -.table-container { - -webkit-overflow-scrolling: touch; - overflow: auto; - overflow-y: hidden; - max-width: 100%; } - -.tags { - align-items: center; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - .tags .tag, .tags .docstring > section > a.docs-sourcelink, .tags .content kbd, .content .tags kbd { - margin-bottom: 0.5rem; } - .tags .tag:not(:last-child), .tags .docstring > section > a.docs-sourcelink:not(:last-child), .tags .content kbd:not(:last-child), .content .tags kbd:not(:last-child) { - margin-right: 0.5rem; } - .tags:last-child { - margin-bottom: -0.5rem; } - .tags:not(:last-child) { - margin-bottom: 1rem; } - .tags.are-medium .tag:not(.is-normal):not(.is-large), .tags.are-medium .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-large), .tags.are-medium .content kbd:not(.is-normal):not(.is-large), .content .tags.are-medium kbd:not(.is-normal):not(.is-large) { - font-size: 1rem; } - .tags.are-large .tag:not(.is-normal):not(.is-medium), .tags.are-large .docstring > section > a.docs-sourcelink:not(.is-normal):not(.is-medium), .tags.are-large .content kbd:not(.is-normal):not(.is-medium), .content .tags.are-large kbd:not(.is-normal):not(.is-medium) { - font-size: 1.25rem; } - .tags.is-centered { - justify-content: center; } - .tags.is-centered .tag, .tags.is-centered .docstring > section > a.docs-sourcelink, .tags.is-centered .content kbd, .content .tags.is-centered kbd { - margin-right: 0.25rem; - margin-left: 0.25rem; } - .tags.is-right { - justify-content: flex-end; } - .tags.is-right .tag:not(:first-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:first-child), .tags.is-right .content kbd:not(:first-child), .content .tags.is-right kbd:not(:first-child) { - margin-left: 0.5rem; } - .tags.is-right .tag:not(:last-child), .tags.is-right .docstring > section > a.docs-sourcelink:not(:last-child), .tags.is-right .content kbd:not(:last-child), .content .tags.is-right kbd:not(:last-child) { - margin-right: 0; } - .tags.has-addons .tag, .tags.has-addons .docstring > section > a.docs-sourcelink, .tags.has-addons .content kbd, .content .tags.has-addons kbd { - margin-right: 0; } - .tags.has-addons .tag:not(:first-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:first-child), .tags.has-addons .content kbd:not(:first-child), .content .tags.has-addons kbd:not(:first-child) { - margin-left: 0; - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - .tags.has-addons .tag:not(:last-child), .tags.has-addons .docstring > section > a.docs-sourcelink:not(:last-child), .tags.has-addons .content kbd:not(:last-child), .content .tags.has-addons kbd:not(:last-child) { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - -.tag:not(body), .docstring > section > a.docs-sourcelink:not(body), .content kbd:not(body) { - align-items: center; - background-color: whitesmoke; - border-radius: 4px; - color: #222222; - display: inline-flex; - font-size: 0.75rem; - height: 2em; - justify-content: center; - line-height: 1.5; - padding-left: 0.75em; - padding-right: 0.75em; - white-space: nowrap; } - .tag:not(body) .delete, .docstring > section > a.docs-sourcelink:not(body) .delete, .content kbd:not(body) .delete { - margin-left: 0.25rem; - margin-right: -0.375rem; } - .tag:not(body).is-white, .docstring > section > a.docs-sourcelink:not(body).is-white, .content kbd:not(body).is-white { - background-color: white; - color: #0a0a0a; } - .tag:not(body).is-black, .docstring > section > a.docs-sourcelink:not(body).is-black, .content kbd:not(body).is-black { - background-color: #0a0a0a; - color: white; } - .tag:not(body).is-light, .docstring > section > a.docs-sourcelink:not(body).is-light, .content kbd:not(body).is-light { - background-color: whitesmoke; - color: #363636; } - .tag:not(body).is-dark, .docstring > section > a.docs-sourcelink:not(body).is-dark, .content kbd:not(body) { - background-color: #363636; - color: whitesmoke; } - .tag:not(body).is-primary, .docstring > section > a.docs-sourcelink:not(body), .content kbd:not(body).is-primary { - background-color: #4eb5de; - color: #fff; } - .tag:not(body).is-link, .docstring > section > a.docs-sourcelink:not(body).is-link, .content kbd:not(body).is-link { - background-color: #2e63b8; - color: #fff; } - .tag:not(body).is-info, .docstring > section > a.docs-sourcelink:not(body).is-info, .content kbd:not(body).is-info { - background-color: #209cee; - color: #fff; } - .tag:not(body).is-success, .docstring > section > a.docs-sourcelink:not(body).is-success, .content kbd:not(body).is-success { - background-color: #22c35b; - color: #fff; } - .tag:not(body).is-warning, .docstring > section > a.docs-sourcelink:not(body).is-warning, .content kbd:not(body).is-warning { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .tag:not(body).is-danger, .docstring > section > a.docs-sourcelink:not(body).is-danger, .content kbd:not(body).is-danger { - background-color: #da0b00; - color: #fff; } - .tag:not(body).is-normal, .docstring > section > a.docs-sourcelink:not(body).is-normal, .content kbd:not(body).is-normal { - font-size: 0.75rem; } - .tag:not(body).is-medium, .docstring > section > a.docs-sourcelink:not(body).is-medium, .content kbd:not(body).is-medium { - font-size: 1rem; } - .tag:not(body).is-large, .docstring > section > a.docs-sourcelink:not(body).is-large, .content kbd:not(body).is-large { - font-size: 1.25rem; } - .tag:not(body) .icon:first-child:not(:last-child), .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:not(:last-child), .content kbd:not(body) .icon:first-child:not(:last-child) { - margin-left: -0.375em; - margin-right: 0.1875em; } - .tag:not(body) .icon:last-child:not(:first-child), .docstring > section > a.docs-sourcelink:not(body) .icon:last-child:not(:first-child), .content kbd:not(body) .icon:last-child:not(:first-child) { - margin-left: 0.1875em; - margin-right: -0.375em; } - .tag:not(body) .icon:first-child:last-child, .docstring > section > a.docs-sourcelink:not(body) .icon:first-child:last-child, .content kbd:not(body) .icon:first-child:last-child { - margin-left: -0.375em; - margin-right: -0.375em; } - .tag:not(body).is-delete, .docstring > section > a.docs-sourcelink:not(body).is-delete, .content kbd:not(body).is-delete { - margin-left: 1px; - padding: 0; - position: relative; - width: 2em; } - .tag:not(body).is-delete::before, .docstring > section > a.docs-sourcelink:not(body).is-delete::before, .content kbd:not(body).is-delete::before, .tag:not(body).is-delete::after, .docstring > section > a.docs-sourcelink:not(body).is-delete::after, .content kbd:not(body).is-delete::after { - background-color: currentColor; - content: ""; - display: block; - left: 50%; - position: absolute; - top: 50%; - transform: translateX(-50%) translateY(-50%) rotate(45deg); - transform-origin: center center; } - .tag:not(body).is-delete::before, .docstring > section > a.docs-sourcelink:not(body).is-delete::before, .content kbd:not(body).is-delete::before { - height: 1px; - width: 50%; } - .tag:not(body).is-delete::after, .docstring > section > a.docs-sourcelink:not(body).is-delete::after, .content kbd:not(body).is-delete::after { - height: 50%; - width: 1px; } - .tag:not(body).is-delete:hover, .docstring > section > a.docs-sourcelink:not(body).is-delete:hover, .content kbd:not(body).is-delete:hover, .tag:not(body).is-delete:focus, .docstring > section > a.docs-sourcelink:not(body).is-delete:focus, .content kbd:not(body).is-delete:focus { - background-color: #e8e8e8; } - .tag:not(body).is-delete:active, .docstring > section > a.docs-sourcelink:not(body).is-delete:active, .content kbd:not(body).is-delete:active { - background-color: #dbdbdb; } - .tag:not(body).is-rounded, .docstring > section > a.docs-sourcelink:not(body).is-rounded, .content kbd:not(body).is-rounded, #documenter .docs-sidebar form.docs-search > input.tag:not(body) { - border-radius: 290486px; } - -a.tag:hover, .docstring > section > a.docs-sourcelink:hover { - text-decoration: underline; } - -.title, -.subtitle { - word-break: break-word; } - .title em, - .title span, - .subtitle em, - .subtitle span { - font-weight: inherit; } - .title sub, - .subtitle sub { - font-size: 0.75em; } - .title sup, - .subtitle sup { - font-size: 0.75em; } - .title .tag, .title .docstring > section > a.docs-sourcelink, .title .content kbd, .content .title kbd, - .subtitle .tag, - .subtitle .docstring > section > a.docs-sourcelink, - .subtitle .content kbd, - .content .subtitle kbd { - vertical-align: middle; } - -.title { - color: #363636; - font-size: 2rem; - font-weight: 600; - line-height: 1.125; } - .title strong { - color: inherit; - font-weight: inherit; } - .title + .highlight { - margin-top: -0.75rem; } - .title:not(.is-spaced) + .subtitle { - margin-top: -1.25rem; } - .title.is-1 { - font-size: 3rem; } - .title.is-2 { - font-size: 2.5rem; } - .title.is-3 { - font-size: 2rem; } - .title.is-4 { - font-size: 1.5rem; } - .title.is-5 { - font-size: 1.25rem; } - .title.is-6 { - font-size: 1rem; } - .title.is-7 { - font-size: 0.75rem; } - -.subtitle { - color: #4a4a4a; - font-size: 1.25rem; - font-weight: 400; - line-height: 1.25; } - .subtitle strong { - color: #363636; - font-weight: 600; } - .subtitle:not(.is-spaced) + .title { - margin-top: -1.25rem; } - .subtitle.is-1 { - font-size: 3rem; } - .subtitle.is-2 { - font-size: 2.5rem; } - .subtitle.is-3 { - font-size: 2rem; } - .subtitle.is-4 { - font-size: 1.5rem; } - .subtitle.is-5 { - font-size: 1.25rem; } - .subtitle.is-6 { - font-size: 1rem; } - .subtitle.is-7 { - font-size: 0.75rem; } - -.heading { - display: block; - font-size: 11px; - letter-spacing: 1px; - margin-bottom: 5px; - text-transform: uppercase; } - -.highlight { - font-weight: 400; - max-width: 100%; - overflow: hidden; - padding: 0; } - .highlight pre { - overflow: auto; - max-width: 100%; } - -.number { - align-items: center; - background-color: whitesmoke; - border-radius: 290486px; - display: inline-flex; - font-size: 1.25rem; - height: 2em; - justify-content: center; - margin-right: 1.5rem; - min-width: 2.5em; - padding: 0.25rem 0.5rem; - text-align: center; - vertical-align: top; } - -.input, #documenter .docs-sidebar form.docs-search > input, .textarea, .select select { - background-color: white; - border-color: #dbdbdb; - border-radius: 4px; - color: #363636; } - .input::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, .textarea::-moz-placeholder, .select select::-moz-placeholder { - color: rgba(54, 54, 54, 0.3); } - .input::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, .textarea::-webkit-input-placeholder, .select select::-webkit-input-placeholder { - color: rgba(54, 54, 54, 0.3); } - .input:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, .textarea:-moz-placeholder, .select select:-moz-placeholder { - color: rgba(54, 54, 54, 0.3); } - .input:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, .textarea:-ms-input-placeholder, .select select:-ms-input-placeholder { - color: rgba(54, 54, 54, 0.3); } - .input:hover, #documenter .docs-sidebar form.docs-search > input:hover, .textarea:hover, .select select:hover, .is-hovered.input, #documenter .docs-sidebar form.docs-search > input.is-hovered, .is-hovered.textarea, .select select.is-hovered { - border-color: #b5b5b5; } - .input:focus, #documenter .docs-sidebar form.docs-search > input:focus, .textarea:focus, .select select:focus, .is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-focused, .is-focused.textarea, .select select.is-focused, .input:active, #documenter .docs-sidebar form.docs-search > input:active, .textarea:active, .select select:active, .is-active.input, #documenter .docs-sidebar form.docs-search > input.is-active, .is-active.textarea, .select select.is-active { - border-color: #2e63b8; - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .input[disabled], #documenter .docs-sidebar form.docs-search > input[disabled], .textarea[disabled], .select select[disabled], - fieldset[disabled] .input, - fieldset[disabled] #documenter .docs-sidebar form.docs-search > input, - #documenter .docs-sidebar fieldset[disabled] form.docs-search > input, - fieldset[disabled] .textarea, - fieldset[disabled] .select select, - .select fieldset[disabled] select { - background-color: whitesmoke; - border-color: whitesmoke; - box-shadow: none; - color: #6b6b6b; } - .input[disabled]::-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-moz-placeholder, .textarea[disabled]::-moz-placeholder, .select select[disabled]::-moz-placeholder, - fieldset[disabled] .input::-moz-placeholder, - fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-moz-placeholder, - #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-moz-placeholder, - fieldset[disabled] .textarea::-moz-placeholder, - fieldset[disabled] .select select::-moz-placeholder, - .select fieldset[disabled] select::-moz-placeholder { - color: rgba(107, 107, 107, 0.3); } - .input[disabled]::-webkit-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]::-webkit-input-placeholder, .textarea[disabled]::-webkit-input-placeholder, .select select[disabled]::-webkit-input-placeholder, - fieldset[disabled] .input::-webkit-input-placeholder, - fieldset[disabled] #documenter .docs-sidebar form.docs-search > input::-webkit-input-placeholder, - #documenter .docs-sidebar fieldset[disabled] form.docs-search > input::-webkit-input-placeholder, - fieldset[disabled] .textarea::-webkit-input-placeholder, - fieldset[disabled] .select select::-webkit-input-placeholder, - .select fieldset[disabled] select::-webkit-input-placeholder { - color: rgba(107, 107, 107, 0.3); } - .input[disabled]:-moz-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-moz-placeholder, .textarea[disabled]:-moz-placeholder, .select select[disabled]:-moz-placeholder, - fieldset[disabled] .input:-moz-placeholder, - fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-moz-placeholder, - #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-moz-placeholder, - fieldset[disabled] .textarea:-moz-placeholder, - fieldset[disabled] .select select:-moz-placeholder, - .select fieldset[disabled] select:-moz-placeholder { - color: rgba(107, 107, 107, 0.3); } - .input[disabled]:-ms-input-placeholder, #documenter .docs-sidebar form.docs-search > input[disabled]:-ms-input-placeholder, .textarea[disabled]:-ms-input-placeholder, .select select[disabled]:-ms-input-placeholder, - fieldset[disabled] .input:-ms-input-placeholder, - fieldset[disabled] #documenter .docs-sidebar form.docs-search > input:-ms-input-placeholder, - #documenter .docs-sidebar fieldset[disabled] form.docs-search > input:-ms-input-placeholder, - fieldset[disabled] .textarea:-ms-input-placeholder, - fieldset[disabled] .select select:-ms-input-placeholder, - .select fieldset[disabled] select:-ms-input-placeholder { - color: rgba(107, 107, 107, 0.3); } - -.input, #documenter .docs-sidebar form.docs-search > input, .textarea { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.1); - max-width: 100%; - width: 100%; } - .input[readonly], #documenter .docs-sidebar form.docs-search > input[readonly], .textarea[readonly] { - box-shadow: none; } - .is-white.input, #documenter .docs-sidebar form.docs-search > input.is-white, .is-white.textarea { - border-color: white; } - .is-white.input:focus, #documenter .docs-sidebar form.docs-search > input.is-white:focus, .is-white.textarea:focus, .is-white.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-white.is-focused, .is-white.is-focused.textarea, .is-white.input:active, #documenter .docs-sidebar form.docs-search > input.is-white:active, .is-white.textarea:active, .is-white.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-white.is-active, .is-white.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - .is-black.input, #documenter .docs-sidebar form.docs-search > input.is-black, .is-black.textarea { - border-color: #0a0a0a; } - .is-black.input:focus, #documenter .docs-sidebar form.docs-search > input.is-black:focus, .is-black.textarea:focus, .is-black.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-black.is-focused, .is-black.is-focused.textarea, .is-black.input:active, #documenter .docs-sidebar form.docs-search > input.is-black:active, .is-black.textarea:active, .is-black.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-black.is-active, .is-black.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - .is-light.input, #documenter .docs-sidebar form.docs-search > input.is-light, .is-light.textarea { - border-color: whitesmoke; } - .is-light.input:focus, #documenter .docs-sidebar form.docs-search > input.is-light:focus, .is-light.textarea:focus, .is-light.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-light.is-focused, .is-light.is-focused.textarea, .is-light.input:active, #documenter .docs-sidebar form.docs-search > input.is-light:active, .is-light.textarea:active, .is-light.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-light.is-active, .is-light.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } - .is-dark.input, .content kbd.input, #documenter .docs-sidebar form.docs-search > input.is-dark, .is-dark.textarea, .content kbd.textarea { - border-color: #363636; } - .is-dark.input:focus, .content kbd.input:focus, #documenter .docs-sidebar form.docs-search > input.is-dark:focus, .is-dark.textarea:focus, .content kbd.textarea:focus, .is-dark.is-focused.input, .content kbd.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-dark.is-focused, .is-dark.is-focused.textarea, .content kbd.is-focused.textarea, .is-dark.input:active, .content kbd.input:active, #documenter .docs-sidebar form.docs-search > input.is-dark:active, .is-dark.textarea:active, .content kbd.textarea:active, .is-dark.is-active.input, .content kbd.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-dark.is-active, .is-dark.is-active.textarea, .content kbd.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } - .is-primary.input, .docstring > section > a.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary, .is-primary.textarea, .docstring > section > a.textarea.docs-sourcelink { - border-color: #4eb5de; } - .is-primary.input:focus, .docstring > section > a.input.docs-sourcelink:focus, #documenter .docs-sidebar form.docs-search > input.is-primary:focus, .is-primary.textarea:focus, .docstring > section > a.textarea.docs-sourcelink:focus, .is-primary.is-focused.input, .docstring > section > a.is-focused.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary.is-focused, .is-primary.is-focused.textarea, .docstring > section > a.is-focused.textarea.docs-sourcelink, .is-primary.input:active, .docstring > section > a.input.docs-sourcelink:active, #documenter .docs-sidebar form.docs-search > input.is-primary:active, .is-primary.textarea:active, .docstring > section > a.textarea.docs-sourcelink:active, .is-primary.is-active.input, .docstring > section > a.is-active.input.docs-sourcelink, #documenter .docs-sidebar form.docs-search > input.is-primary.is-active, .is-primary.is-active.textarea, .docstring > section > a.is-active.textarea.docs-sourcelink { - box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } - .is-link.input, #documenter .docs-sidebar form.docs-search > input.is-link, .is-link.textarea { - border-color: #2e63b8; } - .is-link.input:focus, #documenter .docs-sidebar form.docs-search > input.is-link:focus, .is-link.textarea:focus, .is-link.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-link.is-focused, .is-link.is-focused.textarea, .is-link.input:active, #documenter .docs-sidebar form.docs-search > input.is-link:active, .is-link.textarea:active, .is-link.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-link.is-active, .is-link.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .is-info.input, #documenter .docs-sidebar form.docs-search > input.is-info, .is-info.textarea { - border-color: #209cee; } - .is-info.input:focus, #documenter .docs-sidebar form.docs-search > input.is-info:focus, .is-info.textarea:focus, .is-info.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-info.is-focused, .is-info.is-focused.textarea, .is-info.input:active, #documenter .docs-sidebar form.docs-search > input.is-info:active, .is-info.textarea:active, .is-info.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-info.is-active, .is-info.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } - .is-success.input, #documenter .docs-sidebar form.docs-search > input.is-success, .is-success.textarea { - border-color: #22c35b; } - .is-success.input:focus, #documenter .docs-sidebar form.docs-search > input.is-success:focus, .is-success.textarea:focus, .is-success.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-success.is-focused, .is-success.is-focused.textarea, .is-success.input:active, #documenter .docs-sidebar form.docs-search > input.is-success:active, .is-success.textarea:active, .is-success.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-success.is-active, .is-success.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } - .is-warning.input, #documenter .docs-sidebar form.docs-search > input.is-warning, .is-warning.textarea { - border-color: #ffdd57; } - .is-warning.input:focus, #documenter .docs-sidebar form.docs-search > input.is-warning:focus, .is-warning.textarea:focus, .is-warning.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-warning.is-focused, .is-warning.is-focused.textarea, .is-warning.input:active, #documenter .docs-sidebar form.docs-search > input.is-warning:active, .is-warning.textarea:active, .is-warning.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-warning.is-active, .is-warning.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } - .is-danger.input, #documenter .docs-sidebar form.docs-search > input.is-danger, .is-danger.textarea { - border-color: #da0b00; } - .is-danger.input:focus, #documenter .docs-sidebar form.docs-search > input.is-danger:focus, .is-danger.textarea:focus, .is-danger.is-focused.input, #documenter .docs-sidebar form.docs-search > input.is-danger.is-focused, .is-danger.is-focused.textarea, .is-danger.input:active, #documenter .docs-sidebar form.docs-search > input.is-danger:active, .is-danger.textarea:active, .is-danger.is-active.input, #documenter .docs-sidebar form.docs-search > input.is-danger.is-active, .is-danger.is-active.textarea { - box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } - .is-small.input, #documenter .docs-sidebar form.docs-search > input, .is-small.textarea { - border-radius: 2px; - font-size: 0.75rem; } - .is-medium.input, #documenter .docs-sidebar form.docs-search > input.is-medium, .is-medium.textarea { - font-size: 1.25rem; } - .is-large.input, #documenter .docs-sidebar form.docs-search > input.is-large, .is-large.textarea { - font-size: 1.5rem; } - .is-fullwidth.input, #documenter .docs-sidebar form.docs-search > input.is-fullwidth, .is-fullwidth.textarea { - display: block; - width: 100%; } - .is-inline.input, #documenter .docs-sidebar form.docs-search > input.is-inline, .is-inline.textarea { - display: inline; - width: auto; } - -.input.is-rounded, #documenter .docs-sidebar form.docs-search > input { - border-radius: 290486px; - padding-left: 1em; - padding-right: 1em; } - -.input.is-static, #documenter .docs-sidebar form.docs-search > input.is-static { - background-color: transparent; - border-color: transparent; - box-shadow: none; - padding-left: 0; - padding-right: 0; } - -.textarea { - display: block; - max-width: 100%; - min-width: 100%; - padding: 0.625em; - resize: vertical; } - .textarea:not([rows]) { - max-height: 600px; - min-height: 120px; } - .textarea[rows] { - height: initial; } - .textarea.has-fixed-size { - resize: none; } - -.checkbox, .radio { - cursor: pointer; - display: inline-block; - line-height: 1.25; - position: relative; } - .checkbox input, .radio input { - cursor: pointer; } - .checkbox:hover, .radio:hover { - color: #363636; } - .checkbox[disabled], .radio[disabled], - fieldset[disabled] .checkbox, - fieldset[disabled] .radio { - color: #6b6b6b; - cursor: not-allowed; } - -.radio + .radio { - margin-left: 0.5em; } - -.select { - display: inline-block; - max-width: 100%; - position: relative; - vertical-align: top; } - .select:not(.is-multiple) { - height: 2.25em; } - .select:not(.is-multiple):not(.is-loading)::after { - border-color: #2e63b8; - right: 1.125em; - z-index: 4; } - .select.is-rounded select, #documenter .docs-sidebar form.docs-search > input.select select { - border-radius: 290486px; - padding-left: 1em; } - .select select { - cursor: pointer; - display: block; - font-size: 1em; - max-width: 100%; - outline: none; } - .select select::-ms-expand { - display: none; } - .select select[disabled]:hover, - fieldset[disabled] .select select:hover { - border-color: whitesmoke; } - .select select:not([multiple]) { - padding-right: 2.5em; } - .select select[multiple] { - height: auto; - padding: 0; } - .select select[multiple] option { - padding: 0.5em 1em; } - .select:not(.is-multiple):not(.is-loading):hover::after { - border-color: #363636; } - .select.is-white:not(:hover)::after { - border-color: white; } - .select.is-white select { - border-color: white; } - .select.is-white select:hover, .select.is-white select.is-hovered { - border-color: #f2f2f2; } - .select.is-white select:focus, .select.is-white select.is-focused, .select.is-white select:active, .select.is-white select.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 255, 255, 0.25); } - .select.is-black:not(:hover)::after { - border-color: #0a0a0a; } - .select.is-black select { - border-color: #0a0a0a; } - .select.is-black select:hover, .select.is-black select.is-hovered { - border-color: black; } - .select.is-black select:focus, .select.is-black select.is-focused, .select.is-black select:active, .select.is-black select.is-active { - box-shadow: 0 0 0 0.125em rgba(10, 10, 10, 0.25); } - .select.is-light:not(:hover)::after { - border-color: whitesmoke; } - .select.is-light select { - border-color: whitesmoke; } - .select.is-light select:hover, .select.is-light select.is-hovered { - border-color: #e8e8e8; } - .select.is-light select:focus, .select.is-light select.is-focused, .select.is-light select:active, .select.is-light select.is-active { - box-shadow: 0 0 0 0.125em rgba(245, 245, 245, 0.25); } - .select.is-dark:not(:hover)::after, .content kbd.select:not(:hover)::after { - border-color: #363636; } - .select.is-dark select, .content kbd.select select { - border-color: #363636; } - .select.is-dark select:hover, .content kbd.select select:hover, .select.is-dark select.is-hovered, .content kbd.select select.is-hovered { - border-color: #292929; } - .select.is-dark select:focus, .content kbd.select select:focus, .select.is-dark select.is-focused, .content kbd.select select.is-focused, .select.is-dark select:active, .content kbd.select select:active, .select.is-dark select.is-active, .content kbd.select select.is-active { - box-shadow: 0 0 0 0.125em rgba(54, 54, 54, 0.25); } - .select.is-primary:not(:hover)::after, .docstring > section > a.select.docs-sourcelink:not(:hover)::after { - border-color: #4eb5de; } - .select.is-primary select, .docstring > section > a.select.docs-sourcelink select { - border-color: #4eb5de; } - .select.is-primary select:hover, .docstring > section > a.select.docs-sourcelink select:hover, .select.is-primary select.is-hovered, .docstring > section > a.select.docs-sourcelink select.is-hovered { - border-color: #39acda; } - .select.is-primary select:focus, .docstring > section > a.select.docs-sourcelink select:focus, .select.is-primary select.is-focused, .docstring > section > a.select.docs-sourcelink select.is-focused, .select.is-primary select:active, .docstring > section > a.select.docs-sourcelink select:active, .select.is-primary select.is-active, .docstring > section > a.select.docs-sourcelink select.is-active { - box-shadow: 0 0 0 0.125em rgba(78, 181, 222, 0.25); } - .select.is-link:not(:hover)::after { - border-color: #2e63b8; } - .select.is-link select { - border-color: #2e63b8; } - .select.is-link select:hover, .select.is-link select.is-hovered { - border-color: #2958a4; } - .select.is-link select:focus, .select.is-link select.is-focused, .select.is-link select:active, .select.is-link select.is-active { - box-shadow: 0 0 0 0.125em rgba(46, 99, 184, 0.25); } - .select.is-info:not(:hover)::after { - border-color: #209cee; } - .select.is-info select { - border-color: #209cee; } - .select.is-info select:hover, .select.is-info select.is-hovered { - border-color: #1190e3; } - .select.is-info select:focus, .select.is-info select.is-focused, .select.is-info select:active, .select.is-info select.is-active { - box-shadow: 0 0 0 0.125em rgba(32, 156, 238, 0.25); } - .select.is-success:not(:hover)::after { - border-color: #22c35b; } - .select.is-success select { - border-color: #22c35b; } - .select.is-success select:hover, .select.is-success select.is-hovered { - border-color: #1ead51; } - .select.is-success select:focus, .select.is-success select.is-focused, .select.is-success select:active, .select.is-success select.is-active { - box-shadow: 0 0 0 0.125em rgba(34, 195, 91, 0.25); } - .select.is-warning:not(:hover)::after { - border-color: #ffdd57; } - .select.is-warning select { - border-color: #ffdd57; } - .select.is-warning select:hover, .select.is-warning select.is-hovered { - border-color: #ffd83e; } - .select.is-warning select:focus, .select.is-warning select.is-focused, .select.is-warning select:active, .select.is-warning select.is-active { - box-shadow: 0 0 0 0.125em rgba(255, 221, 87, 0.25); } - .select.is-danger:not(:hover)::after { - border-color: #da0b00; } - .select.is-danger select { - border-color: #da0b00; } - .select.is-danger select:hover, .select.is-danger select.is-hovered { - border-color: #c10a00; } - .select.is-danger select:focus, .select.is-danger select.is-focused, .select.is-danger select:active, .select.is-danger select.is-active { - box-shadow: 0 0 0 0.125em rgba(218, 11, 0, 0.25); } - .select.is-small, #documenter .docs-sidebar form.docs-search > input.select { - border-radius: 2px; - font-size: 0.75rem; } - .select.is-medium { - font-size: 1.25rem; } - .select.is-large { - font-size: 1.5rem; } - .select.is-disabled::after { - border-color: #6b6b6b; } - .select.is-fullwidth { - width: 100%; } - .select.is-fullwidth select { - width: 100%; } - .select.is-loading::after { - margin-top: 0; - position: absolute; - right: 0.625em; - top: 0.625em; - transform: none; } - .select.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.select.is-loading:after { - font-size: 0.75rem; } - .select.is-loading.is-medium:after { - font-size: 1.25rem; } - .select.is-loading.is-large:after { - font-size: 1.5rem; } - -.file { - align-items: stretch; - display: flex; - justify-content: flex-start; - position: relative; } - .file.is-white .file-cta { - background-color: white; - border-color: transparent; - color: #0a0a0a; } - .file.is-white:hover .file-cta, .file.is-white.is-hovered .file-cta { - background-color: #f9f9f9; - border-color: transparent; - color: #0a0a0a; } - .file.is-white:focus .file-cta, .file.is-white.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(255, 255, 255, 0.25); - color: #0a0a0a; } - .file.is-white:active .file-cta, .file.is-white.is-active .file-cta { - background-color: #f2f2f2; - border-color: transparent; - color: #0a0a0a; } - .file.is-black .file-cta { - background-color: #0a0a0a; - border-color: transparent; - color: white; } - .file.is-black:hover .file-cta, .file.is-black.is-hovered .file-cta { - background-color: #040404; - border-color: transparent; - color: white; } - .file.is-black:focus .file-cta, .file.is-black.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(10, 10, 10, 0.25); - color: white; } - .file.is-black:active .file-cta, .file.is-black.is-active .file-cta { - background-color: black; - border-color: transparent; - color: white; } - .file.is-light .file-cta { - background-color: whitesmoke; - border-color: transparent; - color: #363636; } - .file.is-light:hover .file-cta, .file.is-light.is-hovered .file-cta { - background-color: #eeeeee; - border-color: transparent; - color: #363636; } - .file.is-light:focus .file-cta, .file.is-light.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(245, 245, 245, 0.25); - color: #363636; } - .file.is-light:active .file-cta, .file.is-light.is-active .file-cta { - background-color: #e8e8e8; - border-color: transparent; - color: #363636; } - .file.is-dark .file-cta, .content kbd.file .file-cta { - background-color: #363636; - border-color: transparent; - color: whitesmoke; } - .file.is-dark:hover .file-cta, .content kbd.file:hover .file-cta, .file.is-dark.is-hovered .file-cta, .content kbd.file.is-hovered .file-cta { - background-color: #2f2f2f; - border-color: transparent; - color: whitesmoke; } - .file.is-dark:focus .file-cta, .content kbd.file:focus .file-cta, .file.is-dark.is-focused .file-cta, .content kbd.file.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(54, 54, 54, 0.25); - color: whitesmoke; } - .file.is-dark:active .file-cta, .content kbd.file:active .file-cta, .file.is-dark.is-active .file-cta, .content kbd.file.is-active .file-cta { - background-color: #292929; - border-color: transparent; - color: whitesmoke; } - .file.is-primary .file-cta, .docstring > section > a.file.docs-sourcelink .file-cta { - background-color: #4eb5de; - border-color: transparent; - color: #fff; } - .file.is-primary:hover .file-cta, .docstring > section > a.file.docs-sourcelink:hover .file-cta, .file.is-primary.is-hovered .file-cta, .docstring > section > a.file.is-hovered.docs-sourcelink .file-cta { - background-color: #43b1dc; - border-color: transparent; - color: #fff; } - .file.is-primary:focus .file-cta, .docstring > section > a.file.docs-sourcelink:focus .file-cta, .file.is-primary.is-focused .file-cta, .docstring > section > a.file.is-focused.docs-sourcelink .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(78, 181, 222, 0.25); - color: #fff; } - .file.is-primary:active .file-cta, .docstring > section > a.file.docs-sourcelink:active .file-cta, .file.is-primary.is-active .file-cta, .docstring > section > a.file.is-active.docs-sourcelink .file-cta { - background-color: #39acda; - border-color: transparent; - color: #fff; } - .file.is-link .file-cta { - background-color: #2e63b8; - border-color: transparent; - color: #fff; } - .file.is-link:hover .file-cta, .file.is-link.is-hovered .file-cta { - background-color: #2b5eae; - border-color: transparent; - color: #fff; } - .file.is-link:focus .file-cta, .file.is-link.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(46, 99, 184, 0.25); - color: #fff; } - .file.is-link:active .file-cta, .file.is-link.is-active .file-cta { - background-color: #2958a4; - border-color: transparent; - color: #fff; } - .file.is-info .file-cta { - background-color: #209cee; - border-color: transparent; - color: #fff; } - .file.is-info:hover .file-cta, .file.is-info.is-hovered .file-cta { - background-color: #1497ed; - border-color: transparent; - color: #fff; } - .file.is-info:focus .file-cta, .file.is-info.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(32, 156, 238, 0.25); - color: #fff; } - .file.is-info:active .file-cta, .file.is-info.is-active .file-cta { - background-color: #1190e3; - border-color: transparent; - color: #fff; } - .file.is-success .file-cta { - background-color: #22c35b; - border-color: transparent; - color: #fff; } - .file.is-success:hover .file-cta, .file.is-success.is-hovered .file-cta { - background-color: #20b856; - border-color: transparent; - color: #fff; } - .file.is-success:focus .file-cta, .file.is-success.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(34, 195, 91, 0.25); - color: #fff; } - .file.is-success:active .file-cta, .file.is-success.is-active .file-cta { - background-color: #1ead51; - border-color: transparent; - color: #fff; } - .file.is-warning .file-cta { - background-color: #ffdd57; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .file.is-warning:hover .file-cta, .file.is-warning.is-hovered .file-cta { - background-color: #ffda4a; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .file.is-warning:focus .file-cta, .file.is-warning.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(255, 221, 87, 0.25); - color: rgba(0, 0, 0, 0.7); } - .file.is-warning:active .file-cta, .file.is-warning.is-active .file-cta { - background-color: #ffd83e; - border-color: transparent; - color: rgba(0, 0, 0, 0.7); } - .file.is-danger .file-cta { - background-color: #da0b00; - border-color: transparent; - color: #fff; } - .file.is-danger:hover .file-cta, .file.is-danger.is-hovered .file-cta { - background-color: #cd0a00; - border-color: transparent; - color: #fff; } - .file.is-danger:focus .file-cta, .file.is-danger.is-focused .file-cta { - border-color: transparent; - box-shadow: 0 0 0.5em rgba(218, 11, 0, 0.25); - color: #fff; } - .file.is-danger:active .file-cta, .file.is-danger.is-active .file-cta { - background-color: #c10a00; - border-color: transparent; - color: #fff; } - .file.is-small, #documenter .docs-sidebar form.docs-search > input.file { - font-size: 0.75rem; } - .file.is-medium { - font-size: 1.25rem; } - .file.is-medium .file-icon .fa { - font-size: 21px; } - .file.is-large { - font-size: 1.5rem; } - .file.is-large .file-icon .fa { - font-size: 28px; } - .file.has-name .file-cta { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - .file.has-name .file-name { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - .file.has-name.is-empty .file-cta { - border-radius: 4px; } - .file.has-name.is-empty .file-name { - display: none; } - .file.is-boxed .file-label { - flex-direction: column; } - .file.is-boxed .file-cta { - flex-direction: column; - height: auto; - padding: 1em 3em; } - .file.is-boxed .file-name { - border-width: 0 1px 1px; } - .file.is-boxed .file-icon { - height: 1.5em; - width: 1.5em; } - .file.is-boxed .file-icon .fa { - font-size: 21px; } - .file.is-boxed.is-small .file-icon .fa, #documenter .docs-sidebar form.docs-search > input.file.is-boxed .file-icon .fa { - font-size: 14px; } - .file.is-boxed.is-medium .file-icon .fa { - font-size: 28px; } - .file.is-boxed.is-large .file-icon .fa { - font-size: 35px; } - .file.is-boxed.has-name .file-cta { - border-radius: 4px 4px 0 0; } - .file.is-boxed.has-name .file-name { - border-radius: 0 0 4px 4px; - border-width: 0 1px 1px; } - .file.is-centered { - justify-content: center; } - .file.is-fullwidth .file-label { - width: 100%; } - .file.is-fullwidth .file-name { - flex-grow: 1; - max-width: none; } - .file.is-right { - justify-content: flex-end; } - .file.is-right .file-cta { - border-radius: 0 4px 4px 0; } - .file.is-right .file-name { - border-radius: 4px 0 0 4px; - border-width: 1px 0 1px 1px; - order: -1; } - -.file-label { - align-items: stretch; - display: flex; - cursor: pointer; - justify-content: flex-start; - overflow: hidden; - position: relative; } - .file-label:hover .file-cta { - background-color: #eeeeee; - color: #363636; } - .file-label:hover .file-name { - border-color: #d5d5d5; } - .file-label:active .file-cta { - background-color: #e8e8e8; - color: #363636; } - .file-label:active .file-name { - border-color: #cfcfcf; } - -.file-input { - height: 100%; - left: 0; - opacity: 0; - outline: none; - position: absolute; - top: 0; - width: 100%; } - -.file-cta, -.file-name { - border-color: #dbdbdb; - border-radius: 4px; - font-size: 1em; - padding-left: 1em; - padding-right: 1em; - white-space: nowrap; } - -.file-cta { - background-color: whitesmoke; - color: #4a4a4a; } - -.file-name { - border-color: #dbdbdb; - border-style: solid; - border-width: 1px 1px 1px 0; - display: block; - max-width: 16em; - overflow: hidden; - text-align: left; - text-overflow: ellipsis; } - -.file-icon { - align-items: center; - display: flex; - height: 1em; - justify-content: center; - margin-right: 0.5em; - width: 1em; } - .file-icon .fa { - font-size: 14px; } - -.label { - color: #363636; - display: block; - font-size: 1rem; - font-weight: 700; } - .label:not(:last-child) { - margin-bottom: 0.5em; } - .label.is-small, #documenter .docs-sidebar form.docs-search > input.label { - font-size: 0.75rem; } - .label.is-medium { - font-size: 1.25rem; } - .label.is-large { - font-size: 1.5rem; } - -.help { - display: block; - font-size: 0.75rem; - margin-top: 0.25rem; } - .help.is-white { - color: white; } - .help.is-black { - color: #0a0a0a; } - .help.is-light { - color: whitesmoke; } - .help.is-dark, .content kbd.help { - color: #363636; } - .help.is-primary, .docstring > section > a.help.docs-sourcelink { - color: #4eb5de; } - .help.is-link { - color: #2e63b8; } - .help.is-info { - color: #209cee; } - .help.is-success { - color: #22c35b; } - .help.is-warning { - color: #ffdd57; } - .help.is-danger { - color: #da0b00; } - -.field:not(:last-child) { - margin-bottom: 0.75rem; } - -.field.has-addons { - display: flex; - justify-content: flex-start; } - .field.has-addons .control:not(:last-child) { - margin-right: -1px; } - .field.has-addons .control:not(:first-child):not(:last-child) .button, - .field.has-addons .control:not(:first-child):not(:last-child) .input, - .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search > input, - #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search > input, - .field.has-addons .control:not(:first-child):not(:last-child) .select select { - border-radius: 0; } - .field.has-addons .control:first-child:not(:only-child) .button, - .field.has-addons .control:first-child:not(:only-child) .input, - .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, - #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search > input, - .field.has-addons .control:first-child:not(:only-child) .select select { - border-bottom-right-radius: 0; - border-top-right-radius: 0; } - .field.has-addons .control:last-child:not(:only-child) .button, - .field.has-addons .control:last-child:not(:only-child) .input, - .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search > input, - #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search > input, - .field.has-addons .control:last-child:not(:only-child) .select select { - border-bottom-left-radius: 0; - border-top-left-radius: 0; } - .field.has-addons .control .button:not([disabled]):hover, .field.has-addons .control .button:not([disabled]).is-hovered, - .field.has-addons .control .input:not([disabled]):hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):hover, - .field.has-addons .control .input:not([disabled]).is-hovered, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-hovered, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-hovered, - .field.has-addons .control .select select:not([disabled]):hover, - .field.has-addons .control .select select:not([disabled]).is-hovered { - z-index: 2; } - .field.has-addons .control .button:not([disabled]):focus, .field.has-addons .control .button:not([disabled]).is-focused, .field.has-addons .control .button:not([disabled]):active, .field.has-addons .control .button:not([disabled]).is-active, - .field.has-addons .control .input:not([disabled]):focus, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus, - .field.has-addons .control .input:not([disabled]).is-focused, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused, - .field.has-addons .control .input:not([disabled]):active, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active, - .field.has-addons .control .input:not([disabled]).is-active, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active, - .field.has-addons .control .select select:not([disabled]):focus, - .field.has-addons .control .select select:not([disabled]).is-focused, - .field.has-addons .control .select select:not([disabled]):active, - .field.has-addons .control .select select:not([disabled]).is-active { - z-index: 3; } - .field.has-addons .control .button:not([disabled]):focus:hover, .field.has-addons .control .button:not([disabled]).is-focused:hover, .field.has-addons .control .button:not([disabled]):active:hover, .field.has-addons .control .button:not([disabled]).is-active:hover, - .field.has-addons .control .input:not([disabled]):focus:hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):focus:hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):focus:hover, - .field.has-addons .control .input:not([disabled]).is-focused:hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-focused:hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-focused:hover, - .field.has-addons .control .input:not([disabled]):active:hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]):active:hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]):active:hover, - .field.has-addons .control .input:not([disabled]).is-active:hover, - .field.has-addons .control #documenter .docs-sidebar form.docs-search > input:not([disabled]).is-active:hover, - #documenter .docs-sidebar .field.has-addons .control form.docs-search > input:not([disabled]).is-active:hover, - .field.has-addons .control .select select:not([disabled]):focus:hover, - .field.has-addons .control .select select:not([disabled]).is-focused:hover, - .field.has-addons .control .select select:not([disabled]):active:hover, - .field.has-addons .control .select select:not([disabled]).is-active:hover { - z-index: 4; } - .field.has-addons .control.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - .field.has-addons.has-addons-centered { - justify-content: center; } - .field.has-addons.has-addons-right { - justify-content: flex-end; } - .field.has-addons.has-addons-fullwidth .control { - flex-grow: 1; - flex-shrink: 0; } - -.field.is-grouped { - display: flex; - justify-content: flex-start; } - .field.is-grouped > .control { - flex-shrink: 0; } - .field.is-grouped > .control:not(:last-child) { - margin-bottom: 0; - margin-right: 0.75rem; } - .field.is-grouped > .control.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - .field.is-grouped.is-grouped-centered { - justify-content: center; } - .field.is-grouped.is-grouped-right { - justify-content: flex-end; } - .field.is-grouped.is-grouped-multiline { - flex-wrap: wrap; } - .field.is-grouped.is-grouped-multiline > .control:last-child, .field.is-grouped.is-grouped-multiline > .control:not(:last-child) { - margin-bottom: 0.75rem; } - .field.is-grouped.is-grouped-multiline:last-child { - margin-bottom: -0.75rem; } - .field.is-grouped.is-grouped-multiline:not(:last-child) { - margin-bottom: 0; } - -@media screen and (min-width: 769px), print { - .field.is-horizontal { - display: flex; } } - -.field-label .label { - font-size: inherit; } - -@media screen and (max-width: 768px) { - .field-label { - margin-bottom: 0.5rem; } } - -@media screen and (min-width: 769px), print { - .field-label { - flex-basis: 0; - flex-grow: 1; - flex-shrink: 0; - margin-right: 1.5rem; - text-align: right; } - .field-label.is-small, #documenter .docs-sidebar form.docs-search > input.field-label { - font-size: 0.75rem; - padding-top: 0.375em; } - .field-label.is-normal { - padding-top: 0.375em; } - .field-label.is-medium { - font-size: 1.25rem; - padding-top: 0.375em; } - .field-label.is-large { - font-size: 1.5rem; - padding-top: 0.375em; } } - -.field-body .field .field { - margin-bottom: 0; } - -@media screen and (min-width: 769px), print { - .field-body { - display: flex; - flex-basis: 0; - flex-grow: 5; - flex-shrink: 1; } - .field-body .field { - margin-bottom: 0; } - .field-body > .field { - flex-shrink: 1; } - .field-body > .field:not(.is-narrow) { - flex-grow: 1; } - .field-body > .field:not(:last-child) { - margin-right: 0.75rem; } } - -.control { - box-sizing: border-box; - clear: both; - font-size: 1rem; - position: relative; - text-align: left; } - .control.has-icons-left .input:focus ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input:focus ~ .icon, - .control.has-icons-left .select:focus ~ .icon, .control.has-icons-right .input:focus ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input:focus ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input:focus ~ .icon, - .control.has-icons-right .select:focus ~ .icon { - color: #6b6b6b; } - .control.has-icons-left .input.is-small ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input ~ .icon, - .control.has-icons-left .select.is-small ~ .icon, - .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.select ~ .icon, - #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.select ~ .icon, .control.has-icons-right .input.is-small ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input ~ .icon, - .control.has-icons-right .select.is-small ~ .icon, - .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.select ~ .icon, - #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.select ~ .icon { - font-size: 0.75rem; } - .control.has-icons-left .input.is-medium ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-medium ~ .icon, - .control.has-icons-left .select.is-medium ~ .icon, .control.has-icons-right .input.is-medium ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-medium ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-medium ~ .icon, - .control.has-icons-right .select.is-medium ~ .icon { - font-size: 1.25rem; } - .control.has-icons-left .input.is-large ~ .icon, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input.is-large ~ .icon, - .control.has-icons-left .select.is-large ~ .icon, .control.has-icons-right .input.is-large ~ .icon, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input.is-large ~ .icon, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input.is-large ~ .icon, - .control.has-icons-right .select.is-large ~ .icon { - font-size: 1.5rem; } - .control.has-icons-left .icon, .control.has-icons-right .icon { - color: #dbdbdb; - height: 2.25em; - pointer-events: none; - position: absolute; - top: 0; - width: 2.25em; - z-index: 4; } - .control.has-icons-left .input, .control.has-icons-left #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-left form.docs-search > input, - .control.has-icons-left .select select { - padding-left: 2.25em; } - .control.has-icons-left .icon.is-left { - left: 0; } - .control.has-icons-right .input, .control.has-icons-right #documenter .docs-sidebar form.docs-search > input, #documenter .docs-sidebar .control.has-icons-right form.docs-search > input, - .control.has-icons-right .select select { - padding-right: 2.25em; } - .control.has-icons-right .icon.is-right { - right: 0; } - .control.is-loading::after { - position: absolute !important; - right: 0.625em; - top: 0.625em; - z-index: 4; } - .control.is-loading.is-small:after, #documenter .docs-sidebar form.docs-search > input.control.is-loading:after { - font-size: 0.75rem; } - .control.is-loading.is-medium:after { - font-size: 1.25rem; } - .control.is-loading.is-large:after { - font-size: 1.5rem; } - -.breadcrumb { - font-size: 1rem; - white-space: nowrap; } - .breadcrumb a { - align-items: center; - color: #2e63b8; - display: flex; - justify-content: center; - padding: 0 0.75em; } - .breadcrumb a:hover { - color: #363636; } - .breadcrumb li { - align-items: center; - display: flex; } - .breadcrumb li:first-child a { - padding-left: 0; } - .breadcrumb li.is-active a { - color: #222222; - cursor: default; - pointer-events: none; } - .breadcrumb li + li::before { - color: #b5b5b5; - content: "\0002f"; } - .breadcrumb ul, - .breadcrumb ol { - align-items: flex-start; - display: flex; - flex-wrap: wrap; - justify-content: flex-start; } - .breadcrumb .icon:first-child { - margin-right: 0.5em; } - .breadcrumb .icon:last-child { - margin-left: 0.5em; } - .breadcrumb.is-centered ol, - .breadcrumb.is-centered ul { - justify-content: center; } - .breadcrumb.is-right ol, - .breadcrumb.is-right ul { - justify-content: flex-end; } - .breadcrumb.is-small, #documenter .docs-sidebar form.docs-search > input.breadcrumb { - font-size: 0.75rem; } - .breadcrumb.is-medium { - font-size: 1.25rem; } - .breadcrumb.is-large { - font-size: 1.5rem; } - .breadcrumb.has-arrow-separator li + li::before { - content: "\02192"; } - .breadcrumb.has-bullet-separator li + li::before { - content: "\02022"; } - .breadcrumb.has-dot-separator li + li::before { - content: "\000b7"; } - .breadcrumb.has-succeeds-separator li + li::before { - content: "\0227B"; } - -.card { - background-color: white; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - color: #222222; - max-width: 100%; - position: relative; } - -.card-header { - background-color: transparent; - align-items: stretch; - box-shadow: 0 1px 2px rgba(10, 10, 10, 0.1); - display: flex; } - -.card-header-title { - align-items: center; - color: #222222; - display: flex; - flex-grow: 1; - font-weight: 700; - padding: 0.75rem; } - .card-header-title.is-centered { - justify-content: center; } - -.card-header-icon { - align-items: center; - cursor: pointer; - display: flex; - justify-content: center; - padding: 0.75rem; } - -.card-image { - display: block; - position: relative; } - -.card-content { - background-color: transparent; - padding: 1rem 1.25rem; } - -.card-footer { - background-color: transparent; - border-top: 1px solid #dbdbdb; - align-items: stretch; - display: flex; } - -.card-footer-item { - align-items: center; - display: flex; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 0; - justify-content: center; - padding: 0.75rem; } - .card-footer-item:not(:last-child) { - border-right: 1px solid #dbdbdb; } - -.card .media:not(:last-child) { - margin-bottom: 1.5rem; } - -.dropdown { - display: inline-flex; - position: relative; - vertical-align: top; } - .dropdown.is-active .dropdown-menu, .dropdown.is-hoverable:hover .dropdown-menu { - display: block; } - .dropdown.is-right .dropdown-menu { - left: auto; - right: 0; } - .dropdown.is-up .dropdown-menu { - bottom: 100%; - padding-bottom: 4px; - padding-top: initial; - top: auto; } - -.dropdown-menu { - display: none; - left: 0; - min-width: 12rem; - padding-top: 4px; - position: absolute; - top: 100%; - z-index: 20; } - -.dropdown-content { - background-color: white; - border-radius: 4px; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - padding-bottom: 0.5rem; - padding-top: 0.5rem; } - -.dropdown-item { - color: #4a4a4a; - display: block; - font-size: 0.875rem; - line-height: 1.5; - padding: 0.375rem 1rem; - position: relative; } - -a.dropdown-item, -button.dropdown-item { - padding-right: 3rem; - text-align: left; - white-space: nowrap; - width: 100%; } - a.dropdown-item:hover, - button.dropdown-item:hover { - background-color: whitesmoke; - color: #0a0a0a; } - a.dropdown-item.is-active, - button.dropdown-item.is-active { - background-color: #2e63b8; - color: #fff; } - -.dropdown-divider { - background-color: #dbdbdb; - border: none; - display: block; - height: 1px; - margin: 0.5rem 0; } - -.level { - align-items: center; - justify-content: space-between; } - .level code { - border-radius: 4px; } - .level img { - display: inline-block; - vertical-align: top; } - .level.is-mobile { - display: flex; } - .level.is-mobile .level-left, - .level.is-mobile .level-right { - display: flex; } - .level.is-mobile .level-left + .level-right { - margin-top: 0; } - .level.is-mobile .level-item:not(:last-child) { - margin-bottom: 0; - margin-right: 0.75rem; } - .level.is-mobile .level-item:not(.is-narrow) { - flex-grow: 1; } - @media screen and (min-width: 769px), print { - .level { - display: flex; } - .level > .level-item:not(.is-narrow) { - flex-grow: 1; } } - -.level-item { - align-items: center; - display: flex; - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; - justify-content: center; } - .level-item .title, - .level-item .subtitle { - margin-bottom: 0; } - @media screen and (max-width: 768px) { - .level-item:not(:last-child) { - margin-bottom: 0.75rem; } } - -.level-left, -.level-right { - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; } - .level-left .level-item.is-flexible, - .level-right .level-item.is-flexible { - flex-grow: 1; } - @media screen and (min-width: 769px), print { - .level-left .level-item:not(:last-child), - .level-right .level-item:not(:last-child) { - margin-right: 0.75rem; } } - -.level-left { - align-items: center; - justify-content: flex-start; } - @media screen and (max-width: 768px) { - .level-left + .level-right { - margin-top: 1.5rem; } } - @media screen and (min-width: 769px), print { - .level-left { - display: flex; } } - -.level-right { - align-items: center; - justify-content: flex-end; } - @media screen and (min-width: 769px), print { - .level-right { - display: flex; } } - -.list { - background-color: white; - border-radius: 4px; - box-shadow: 0 2px 3px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); } - -.list-item { - display: block; - padding: 0.5em 1em; } - .list-item:not(a) { - color: #222222; } - .list-item:first-child { - border-top-left-radius: 4px; - border-top-right-radius: 4px; } - .list-item:last-child { - border-bottom-left-radius: 4px; - border-bottom-right-radius: 4px; } - .list-item:not(:last-child) { - border-bottom: 1px solid #dbdbdb; } - .list-item.is-active { - background-color: #2e63b8; - color: #fff; } - -a.list-item { - background-color: whitesmoke; - cursor: pointer; } - -.media { - align-items: flex-start; - display: flex; - text-align: left; } - .media .content:not(:last-child) { - margin-bottom: 0.75rem; } - .media .media { - border-top: 1px solid rgba(219, 219, 219, 0.5); - display: flex; - padding-top: 0.75rem; } - .media .media .content:not(:last-child), - .media .media .control:not(:last-child) { - margin-bottom: 0.5rem; } - .media .media .media { - padding-top: 0.5rem; } - .media .media .media + .media { - margin-top: 0.5rem; } - .media + .media { - border-top: 1px solid rgba(219, 219, 219, 0.5); - margin-top: 1rem; - padding-top: 1rem; } - .media.is-large + .media { - margin-top: 1.5rem; - padding-top: 1.5rem; } - -.media-left, -.media-right { - flex-basis: auto; - flex-grow: 0; - flex-shrink: 0; } - -.media-left { - margin-right: 1rem; } - -.media-right { - margin-left: 1rem; } - -.media-content { - flex-basis: auto; - flex-grow: 1; - flex-shrink: 1; - text-align: left; } - -@media screen and (max-width: 768px) { - .media-content { - overflow-x: auto; } } - -.menu { - font-size: 1rem; } - .menu.is-small, #documenter .docs-sidebar form.docs-search > input.menu { - font-size: 0.75rem; } - .menu.is-medium { - font-size: 1.25rem; } - .menu.is-large { - font-size: 1.5rem; } - -.menu-list { - line-height: 1.25; } - .menu-list a { - border-radius: 2px; - color: #222222; - display: block; - padding: 0.5em 0.75em; } - .menu-list a:hover { - background-color: whitesmoke; - color: #222222; } - .menu-list a.is-active { - background-color: #2e63b8; - color: #fff; } - .menu-list li ul { - border-left: 1px solid #dbdbdb; - margin: 0.75em; - padding-left: 0.75em; } - -.menu-label { - color: #6b6b6b; - font-size: 0.75em; - letter-spacing: 0.1em; - text-transform: uppercase; } - .menu-label:not(:first-child) { - margin-top: 1em; } - .menu-label:not(:last-child) { - margin-bottom: 1em; } - -.message { - background-color: whitesmoke; - border-radius: 4px; - font-size: 1rem; } - .message strong { - color: currentColor; } - .message a:not(.button):not(.tag):not(.dropdown-item) { - color: currentColor; - text-decoration: underline; } - .message.is-small, #documenter .docs-sidebar form.docs-search > input.message { - font-size: 0.75rem; } - .message.is-medium { - font-size: 1.25rem; } - .message.is-large { - font-size: 1.5rem; } - .message.is-white { - background-color: white; } - .message.is-white .message-header { - background-color: white; - color: #0a0a0a; } - .message.is-white .message-body { - border-color: white; - color: #4d4d4d; } - .message.is-black { - background-color: #fafafa; } - .message.is-black .message-header { - background-color: #0a0a0a; - color: white; } - .message.is-black .message-body { - border-color: #0a0a0a; - color: #090909; } - .message.is-light { - background-color: #fafafa; } - .message.is-light .message-header { - background-color: whitesmoke; - color: #363636; } - .message.is-light .message-body { - border-color: whitesmoke; - color: #505050; } - .message.is-dark, .content kbd.message { - background-color: #fafafa; } - .message.is-dark .message-header, .content kbd.message .message-header { - background-color: #363636; - color: whitesmoke; } - .message.is-dark .message-body, .content kbd.message .message-body { - border-color: #363636; - color: #2a2a2a; } - .message.is-primary, .docstring > section > a.message.docs-sourcelink { - background-color: #f6fbfd; } - .message.is-primary .message-header, .docstring > section > a.message.docs-sourcelink .message-header { - background-color: #4eb5de; - color: #fff; } - .message.is-primary .message-body, .docstring > section > a.message.docs-sourcelink .message-body { - border-color: #4eb5de; - color: #1f556a; } - .message.is-link { - background-color: #f7f9fd; } - .message.is-link .message-header { - background-color: #2e63b8; - color: #fff; } - .message.is-link .message-body { - border-color: #2e63b8; - color: #264981; } - .message.is-info { - background-color: #f6fbfe; } - .message.is-info .message-header { - background-color: #209cee; - color: #fff; } - .message.is-info .message-body { - border-color: #209cee; - color: #12537d; } - .message.is-success { - background-color: #f6fdf9; } - .message.is-success .message-header { - background-color: #22c35b; - color: #fff; } - .message.is-success .message-body { - border-color: #22c35b; - color: #0f361d; } - .message.is-warning { - background-color: #fffdf5; } - .message.is-warning .message-header { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .message.is-warning .message-body { - border-color: #ffdd57; - color: #3c3108; } - .message.is-danger { - background-color: #fff5f5; } - .message.is-danger .message-header { - background-color: #da0b00; - color: #fff; } - .message.is-danger .message-body { - border-color: #da0b00; - color: #9b0c04; } - -.message-header { - align-items: center; - background-color: #222222; - border-radius: 4px 4px 0 0; - color: #fff; - display: flex; - font-weight: 700; - justify-content: space-between; - line-height: 1.25; - padding: 0.75em; - position: relative; } - .message-header .delete { - flex-grow: 0; - flex-shrink: 0; - margin-left: 0.75em; } - .message-header + .message-body { - border-width: 0; - border-top-left-radius: 0; - border-top-right-radius: 0; } - -.message-body { - border-color: #dbdbdb; - border-radius: 4px; - border-style: solid; - border-width: 0 0 0 4px; - color: #222222; - padding: 1em 1.25em; } - .message-body code, - .message-body pre { - background-color: white; } - .message-body pre code { - background-color: transparent; } - -.modal { - align-items: center; - display: none; - flex-direction: column; - justify-content: center; - overflow: hidden; - position: fixed; - z-index: 40; } - .modal.is-active { - display: flex; } - -.modal-background { - background-color: rgba(10, 10, 10, 0.86); } - -.modal-content, -.modal-card { - margin: 0 20px; - max-height: calc(100vh - 160px); - overflow: auto; - position: relative; - width: 100%; } - @media screen and (min-width: 769px), print { - .modal-content, - .modal-card { - margin: 0 auto; - max-height: calc(100vh - 40px); - width: 640px; } } - -.modal-close { - background: none; - height: 40px; - position: fixed; - right: 20px; - top: 20px; - width: 40px; } - -.modal-card { - display: flex; - flex-direction: column; - max-height: calc(100vh - 40px); - overflow: hidden; - -ms-overflow-y: visible; } - -.modal-card-head, -.modal-card-foot { - align-items: center; - background-color: whitesmoke; - display: flex; - flex-shrink: 0; - justify-content: flex-start; - padding: 20px; - position: relative; } - -.modal-card-head { - border-bottom: 1px solid #dbdbdb; - border-top-left-radius: 6px; - border-top-right-radius: 6px; } - -.modal-card-title { - color: #222222; - flex-grow: 1; - flex-shrink: 0; - font-size: 1.5rem; - line-height: 1; } - -.modal-card-foot { - border-bottom-left-radius: 6px; - border-bottom-right-radius: 6px; - border-top: 1px solid #dbdbdb; } - .modal-card-foot .button:not(:last-child) { - margin-right: 0.5em; } - -.modal-card-body { - -webkit-overflow-scrolling: touch; - background-color: white; - flex-grow: 1; - flex-shrink: 1; - overflow: auto; - padding: 20px; } - -.navbar { - background-color: white; - min-height: 3.25rem; - position: relative; - z-index: 30; } - .navbar.is-white { - background-color: white; - color: #0a0a0a; } - .navbar.is-white .navbar-brand > .navbar-item, - .navbar.is-white .navbar-brand .navbar-link { - color: #0a0a0a; } - .navbar.is-white .navbar-brand > a.navbar-item:focus, .navbar.is-white .navbar-brand > a.navbar-item:hover, .navbar.is-white .navbar-brand > a.navbar-item.is-active, - .navbar.is-white .navbar-brand .navbar-link:focus, - .navbar.is-white .navbar-brand .navbar-link:hover, - .navbar.is-white .navbar-brand .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - .navbar.is-white .navbar-brand .navbar-link::after { - border-color: #0a0a0a; } - .navbar.is-white .navbar-burger { - color: #0a0a0a; } - @media screen and (min-width: 1056px) { - .navbar.is-white .navbar-start > .navbar-item, - .navbar.is-white .navbar-start .navbar-link, - .navbar.is-white .navbar-end > .navbar-item, - .navbar.is-white .navbar-end .navbar-link { - color: #0a0a0a; } - .navbar.is-white .navbar-start > a.navbar-item:focus, .navbar.is-white .navbar-start > a.navbar-item:hover, .navbar.is-white .navbar-start > a.navbar-item.is-active, - .navbar.is-white .navbar-start .navbar-link:focus, - .navbar.is-white .navbar-start .navbar-link:hover, - .navbar.is-white .navbar-start .navbar-link.is-active, - .navbar.is-white .navbar-end > a.navbar-item:focus, - .navbar.is-white .navbar-end > a.navbar-item:hover, - .navbar.is-white .navbar-end > a.navbar-item.is-active, - .navbar.is-white .navbar-end .navbar-link:focus, - .navbar.is-white .navbar-end .navbar-link:hover, - .navbar.is-white .navbar-end .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - .navbar.is-white .navbar-start .navbar-link::after, - .navbar.is-white .navbar-end .navbar-link::after { - border-color: #0a0a0a; } - .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #f2f2f2; - color: #0a0a0a; } - .navbar.is-white .navbar-dropdown a.navbar-item.is-active { - background-color: white; - color: #0a0a0a; } } - .navbar.is-black { - background-color: #0a0a0a; - color: white; } - .navbar.is-black .navbar-brand > .navbar-item, - .navbar.is-black .navbar-brand .navbar-link { - color: white; } - .navbar.is-black .navbar-brand > a.navbar-item:focus, .navbar.is-black .navbar-brand > a.navbar-item:hover, .navbar.is-black .navbar-brand > a.navbar-item.is-active, - .navbar.is-black .navbar-brand .navbar-link:focus, - .navbar.is-black .navbar-brand .navbar-link:hover, - .navbar.is-black .navbar-brand .navbar-link.is-active { - background-color: black; - color: white; } - .navbar.is-black .navbar-brand .navbar-link::after { - border-color: white; } - .navbar.is-black .navbar-burger { - color: white; } - @media screen and (min-width: 1056px) { - .navbar.is-black .navbar-start > .navbar-item, - .navbar.is-black .navbar-start .navbar-link, - .navbar.is-black .navbar-end > .navbar-item, - .navbar.is-black .navbar-end .navbar-link { - color: white; } - .navbar.is-black .navbar-start > a.navbar-item:focus, .navbar.is-black .navbar-start > a.navbar-item:hover, .navbar.is-black .navbar-start > a.navbar-item.is-active, - .navbar.is-black .navbar-start .navbar-link:focus, - .navbar.is-black .navbar-start .navbar-link:hover, - .navbar.is-black .navbar-start .navbar-link.is-active, - .navbar.is-black .navbar-end > a.navbar-item:focus, - .navbar.is-black .navbar-end > a.navbar-item:hover, - .navbar.is-black .navbar-end > a.navbar-item.is-active, - .navbar.is-black .navbar-end .navbar-link:focus, - .navbar.is-black .navbar-end .navbar-link:hover, - .navbar.is-black .navbar-end .navbar-link.is-active { - background-color: black; - color: white; } - .navbar.is-black .navbar-start .navbar-link::after, - .navbar.is-black .navbar-end .navbar-link::after { - border-color: white; } - .navbar.is-black .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-black .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-black .navbar-item.has-dropdown.is-active .navbar-link { - background-color: black; - color: white; } - .navbar.is-black .navbar-dropdown a.navbar-item.is-active { - background-color: #0a0a0a; - color: white; } } - .navbar.is-light { - background-color: whitesmoke; - color: #363636; } - .navbar.is-light .navbar-brand > .navbar-item, - .navbar.is-light .navbar-brand .navbar-link { - color: #363636; } - .navbar.is-light .navbar-brand > a.navbar-item:focus, .navbar.is-light .navbar-brand > a.navbar-item:hover, .navbar.is-light .navbar-brand > a.navbar-item.is-active, - .navbar.is-light .navbar-brand .navbar-link:focus, - .navbar.is-light .navbar-brand .navbar-link:hover, - .navbar.is-light .navbar-brand .navbar-link.is-active { - background-color: #e8e8e8; - color: #363636; } - .navbar.is-light .navbar-brand .navbar-link::after { - border-color: #363636; } - .navbar.is-light .navbar-burger { - color: #363636; } - @media screen and (min-width: 1056px) { - .navbar.is-light .navbar-start > .navbar-item, - .navbar.is-light .navbar-start .navbar-link, - .navbar.is-light .navbar-end > .navbar-item, - .navbar.is-light .navbar-end .navbar-link { - color: #363636; } - .navbar.is-light .navbar-start > a.navbar-item:focus, .navbar.is-light .navbar-start > a.navbar-item:hover, .navbar.is-light .navbar-start > a.navbar-item.is-active, - .navbar.is-light .navbar-start .navbar-link:focus, - .navbar.is-light .navbar-start .navbar-link:hover, - .navbar.is-light .navbar-start .navbar-link.is-active, - .navbar.is-light .navbar-end > a.navbar-item:focus, - .navbar.is-light .navbar-end > a.navbar-item:hover, - .navbar.is-light .navbar-end > a.navbar-item.is-active, - .navbar.is-light .navbar-end .navbar-link:focus, - .navbar.is-light .navbar-end .navbar-link:hover, - .navbar.is-light .navbar-end .navbar-link.is-active { - background-color: #e8e8e8; - color: #363636; } - .navbar.is-light .navbar-start .navbar-link::after, - .navbar.is-light .navbar-end .navbar-link::after { - border-color: #363636; } - .navbar.is-light .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-light .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-light .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #e8e8e8; - color: #363636; } - .navbar.is-light .navbar-dropdown a.navbar-item.is-active { - background-color: whitesmoke; - color: #363636; } } - .navbar.is-dark, .content kbd.navbar { - background-color: #363636; - color: whitesmoke; } - .navbar.is-dark .navbar-brand > .navbar-item, .content kbd.navbar .navbar-brand > .navbar-item, - .navbar.is-dark .navbar-brand .navbar-link, - .content kbd.navbar .navbar-brand .navbar-link { - color: whitesmoke; } - .navbar.is-dark .navbar-brand > a.navbar-item:focus, .content kbd.navbar .navbar-brand > a.navbar-item:focus, .navbar.is-dark .navbar-brand > a.navbar-item:hover, .content kbd.navbar .navbar-brand > a.navbar-item:hover, .navbar.is-dark .navbar-brand > a.navbar-item.is-active, .content kbd.navbar .navbar-brand > a.navbar-item.is-active, - .navbar.is-dark .navbar-brand .navbar-link:focus, - .content kbd.navbar .navbar-brand .navbar-link:focus, - .navbar.is-dark .navbar-brand .navbar-link:hover, - .content kbd.navbar .navbar-brand .navbar-link:hover, - .navbar.is-dark .navbar-brand .navbar-link.is-active, - .content kbd.navbar .navbar-brand .navbar-link.is-active { - background-color: #292929; - color: whitesmoke; } - .navbar.is-dark .navbar-brand .navbar-link::after, .content kbd.navbar .navbar-brand .navbar-link::after { - border-color: whitesmoke; } - .navbar.is-dark .navbar-burger, .content kbd.navbar .navbar-burger { - color: whitesmoke; } - @media screen and (min-width: 1056px) { - .navbar.is-dark .navbar-start > .navbar-item, .content kbd.navbar .navbar-start > .navbar-item, - .navbar.is-dark .navbar-start .navbar-link, - .content kbd.navbar .navbar-start .navbar-link, - .navbar.is-dark .navbar-end > .navbar-item, - .content kbd.navbar .navbar-end > .navbar-item, - .navbar.is-dark .navbar-end .navbar-link, - .content kbd.navbar .navbar-end .navbar-link { - color: whitesmoke; } - .navbar.is-dark .navbar-start > a.navbar-item:focus, .content kbd.navbar .navbar-start > a.navbar-item:focus, .navbar.is-dark .navbar-start > a.navbar-item:hover, .content kbd.navbar .navbar-start > a.navbar-item:hover, .navbar.is-dark .navbar-start > a.navbar-item.is-active, .content kbd.navbar .navbar-start > a.navbar-item.is-active, - .navbar.is-dark .navbar-start .navbar-link:focus, - .content kbd.navbar .navbar-start .navbar-link:focus, - .navbar.is-dark .navbar-start .navbar-link:hover, - .content kbd.navbar .navbar-start .navbar-link:hover, - .navbar.is-dark .navbar-start .navbar-link.is-active, - .content kbd.navbar .navbar-start .navbar-link.is-active, - .navbar.is-dark .navbar-end > a.navbar-item:focus, - .content kbd.navbar .navbar-end > a.navbar-item:focus, - .navbar.is-dark .navbar-end > a.navbar-item:hover, - .content kbd.navbar .navbar-end > a.navbar-item:hover, - .navbar.is-dark .navbar-end > a.navbar-item.is-active, - .content kbd.navbar .navbar-end > a.navbar-item.is-active, - .navbar.is-dark .navbar-end .navbar-link:focus, - .content kbd.navbar .navbar-end .navbar-link:focus, - .navbar.is-dark .navbar-end .navbar-link:hover, - .content kbd.navbar .navbar-end .navbar-link:hover, - .navbar.is-dark .navbar-end .navbar-link.is-active, - .content kbd.navbar .navbar-end .navbar-link.is-active { - background-color: #292929; - color: whitesmoke; } - .navbar.is-dark .navbar-start .navbar-link::after, .content kbd.navbar .navbar-start .navbar-link::after, - .navbar.is-dark .navbar-end .navbar-link::after, - .content kbd.navbar .navbar-end .navbar-link::after { - border-color: whitesmoke; } - .navbar.is-dark .navbar-item.has-dropdown:focus .navbar-link, .content kbd.navbar .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-dark .navbar-item.has-dropdown:hover .navbar-link, - .content kbd.navbar .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-dark .navbar-item.has-dropdown.is-active .navbar-link, - .content kbd.navbar .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #292929; - color: whitesmoke; } - .navbar.is-dark .navbar-dropdown a.navbar-item.is-active, .content kbd.navbar .navbar-dropdown a.navbar-item.is-active { - background-color: #363636; - color: whitesmoke; } } - .navbar.is-primary, .docstring > section > a.navbar.docs-sourcelink { - background-color: #4eb5de; - color: #fff; } - .navbar.is-primary .navbar-brand > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > .navbar-item, - .navbar.is-primary .navbar-brand .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-primary .navbar-brand > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:focus, .navbar.is-primary .navbar-brand > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item:hover, .navbar.is-primary .navbar-brand > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-brand > a.navbar-item.is-active, - .navbar.is-primary .navbar-brand .navbar-link:focus, - .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:focus, - .navbar.is-primary .navbar-brand .navbar-link:hover, - .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link:hover, - .navbar.is-primary .navbar-brand .navbar-link.is-active, - .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link.is-active { - background-color: #39acda; - color: #fff; } - .navbar.is-primary .navbar-brand .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-primary .navbar-burger, .docstring > section > a.navbar.docs-sourcelink .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-primary .navbar-start > .navbar-item, .docstring > section > a.navbar.docs-sourcelink .navbar-start > .navbar-item, - .navbar.is-primary .navbar-start .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link, - .navbar.is-primary .navbar-end > .navbar-item, - .docstring > section > a.navbar.docs-sourcelink .navbar-end > .navbar-item, - .navbar.is-primary .navbar-end .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link { - color: #fff; } - .navbar.is-primary .navbar-start > a.navbar-item:focus, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:focus, .navbar.is-primary .navbar-start > a.navbar-item:hover, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item:hover, .navbar.is-primary .navbar-start > a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-start > a.navbar-item.is-active, - .navbar.is-primary .navbar-start .navbar-link:focus, - .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:focus, - .navbar.is-primary .navbar-start .navbar-link:hover, - .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link:hover, - .navbar.is-primary .navbar-start .navbar-link.is-active, - .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link.is-active, - .navbar.is-primary .navbar-end > a.navbar-item:focus, - .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:focus, - .navbar.is-primary .navbar-end > a.navbar-item:hover, - .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item:hover, - .navbar.is-primary .navbar-end > a.navbar-item.is-active, - .docstring > section > a.navbar.docs-sourcelink .navbar-end > a.navbar-item.is-active, - .navbar.is-primary .navbar-end .navbar-link:focus, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:focus, - .navbar.is-primary .navbar-end .navbar-link:hover, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link:hover, - .navbar.is-primary .navbar-end .navbar-link.is-active, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link.is-active { - background-color: #39acda; - color: #fff; } - .navbar.is-primary .navbar-start .navbar-link::after, .docstring > section > a.navbar.docs-sourcelink .navbar-start .navbar-link::after, - .navbar.is-primary .navbar-end .navbar-link::after, - .docstring > section > a.navbar.docs-sourcelink .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-primary .navbar-item.has-dropdown:focus .navbar-link, .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-primary .navbar-item.has-dropdown:hover .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-primary .navbar-item.has-dropdown.is-active .navbar-link, - .docstring > section > a.navbar.docs-sourcelink .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #39acda; - color: #fff; } - .navbar.is-primary .navbar-dropdown a.navbar-item.is-active, .docstring > section > a.navbar.docs-sourcelink .navbar-dropdown a.navbar-item.is-active { - background-color: #4eb5de; - color: #fff; } } - .navbar.is-link { - background-color: #2e63b8; - color: #fff; } - .navbar.is-link .navbar-brand > .navbar-item, - .navbar.is-link .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-link .navbar-brand > a.navbar-item:focus, .navbar.is-link .navbar-brand > a.navbar-item:hover, .navbar.is-link .navbar-brand > a.navbar-item.is-active, - .navbar.is-link .navbar-brand .navbar-link:focus, - .navbar.is-link .navbar-brand .navbar-link:hover, - .navbar.is-link .navbar-brand .navbar-link.is-active { - background-color: #2958a4; - color: #fff; } - .navbar.is-link .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-link .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-link .navbar-start > .navbar-item, - .navbar.is-link .navbar-start .navbar-link, - .navbar.is-link .navbar-end > .navbar-item, - .navbar.is-link .navbar-end .navbar-link { - color: #fff; } - .navbar.is-link .navbar-start > a.navbar-item:focus, .navbar.is-link .navbar-start > a.navbar-item:hover, .navbar.is-link .navbar-start > a.navbar-item.is-active, - .navbar.is-link .navbar-start .navbar-link:focus, - .navbar.is-link .navbar-start .navbar-link:hover, - .navbar.is-link .navbar-start .navbar-link.is-active, - .navbar.is-link .navbar-end > a.navbar-item:focus, - .navbar.is-link .navbar-end > a.navbar-item:hover, - .navbar.is-link .navbar-end > a.navbar-item.is-active, - .navbar.is-link .navbar-end .navbar-link:focus, - .navbar.is-link .navbar-end .navbar-link:hover, - .navbar.is-link .navbar-end .navbar-link.is-active { - background-color: #2958a4; - color: #fff; } - .navbar.is-link .navbar-start .navbar-link::after, - .navbar.is-link .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-link .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-link .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-link .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #2958a4; - color: #fff; } - .navbar.is-link .navbar-dropdown a.navbar-item.is-active { - background-color: #2e63b8; - color: #fff; } } - .navbar.is-info { - background-color: #209cee; - color: #fff; } - .navbar.is-info .navbar-brand > .navbar-item, - .navbar.is-info .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-info .navbar-brand > a.navbar-item:focus, .navbar.is-info .navbar-brand > a.navbar-item:hover, .navbar.is-info .navbar-brand > a.navbar-item.is-active, - .navbar.is-info .navbar-brand .navbar-link:focus, - .navbar.is-info .navbar-brand .navbar-link:hover, - .navbar.is-info .navbar-brand .navbar-link.is-active { - background-color: #1190e3; - color: #fff; } - .navbar.is-info .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-info .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-info .navbar-start > .navbar-item, - .navbar.is-info .navbar-start .navbar-link, - .navbar.is-info .navbar-end > .navbar-item, - .navbar.is-info .navbar-end .navbar-link { - color: #fff; } - .navbar.is-info .navbar-start > a.navbar-item:focus, .navbar.is-info .navbar-start > a.navbar-item:hover, .navbar.is-info .navbar-start > a.navbar-item.is-active, - .navbar.is-info .navbar-start .navbar-link:focus, - .navbar.is-info .navbar-start .navbar-link:hover, - .navbar.is-info .navbar-start .navbar-link.is-active, - .navbar.is-info .navbar-end > a.navbar-item:focus, - .navbar.is-info .navbar-end > a.navbar-item:hover, - .navbar.is-info .navbar-end > a.navbar-item.is-active, - .navbar.is-info .navbar-end .navbar-link:focus, - .navbar.is-info .navbar-end .navbar-link:hover, - .navbar.is-info .navbar-end .navbar-link.is-active { - background-color: #1190e3; - color: #fff; } - .navbar.is-info .navbar-start .navbar-link::after, - .navbar.is-info .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-info .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-info .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-info .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #1190e3; - color: #fff; } - .navbar.is-info .navbar-dropdown a.navbar-item.is-active { - background-color: #209cee; - color: #fff; } } - .navbar.is-success { - background-color: #22c35b; - color: #fff; } - .navbar.is-success .navbar-brand > .navbar-item, - .navbar.is-success .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-success .navbar-brand > a.navbar-item:focus, .navbar.is-success .navbar-brand > a.navbar-item:hover, .navbar.is-success .navbar-brand > a.navbar-item.is-active, - .navbar.is-success .navbar-brand .navbar-link:focus, - .navbar.is-success .navbar-brand .navbar-link:hover, - .navbar.is-success .navbar-brand .navbar-link.is-active { - background-color: #1ead51; - color: #fff; } - .navbar.is-success .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-success .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-success .navbar-start > .navbar-item, - .navbar.is-success .navbar-start .navbar-link, - .navbar.is-success .navbar-end > .navbar-item, - .navbar.is-success .navbar-end .navbar-link { - color: #fff; } - .navbar.is-success .navbar-start > a.navbar-item:focus, .navbar.is-success .navbar-start > a.navbar-item:hover, .navbar.is-success .navbar-start > a.navbar-item.is-active, - .navbar.is-success .navbar-start .navbar-link:focus, - .navbar.is-success .navbar-start .navbar-link:hover, - .navbar.is-success .navbar-start .navbar-link.is-active, - .navbar.is-success .navbar-end > a.navbar-item:focus, - .navbar.is-success .navbar-end > a.navbar-item:hover, - .navbar.is-success .navbar-end > a.navbar-item.is-active, - .navbar.is-success .navbar-end .navbar-link:focus, - .navbar.is-success .navbar-end .navbar-link:hover, - .navbar.is-success .navbar-end .navbar-link.is-active { - background-color: #1ead51; - color: #fff; } - .navbar.is-success .navbar-start .navbar-link::after, - .navbar.is-success .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-success .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-success .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-success .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #1ead51; - color: #fff; } - .navbar.is-success .navbar-dropdown a.navbar-item.is-active { - background-color: #22c35b; - color: #fff; } } - .navbar.is-warning { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-brand > .navbar-item, - .navbar.is-warning .navbar-brand .navbar-link { - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-brand > a.navbar-item:focus, .navbar.is-warning .navbar-brand > a.navbar-item:hover, .navbar.is-warning .navbar-brand > a.navbar-item.is-active, - .navbar.is-warning .navbar-brand .navbar-link:focus, - .navbar.is-warning .navbar-brand .navbar-link:hover, - .navbar.is-warning .navbar-brand .navbar-link.is-active { - background-color: #ffd83e; - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-brand .navbar-link::after { - border-color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-burger { - color: rgba(0, 0, 0, 0.7); } - @media screen and (min-width: 1056px) { - .navbar.is-warning .navbar-start > .navbar-item, - .navbar.is-warning .navbar-start .navbar-link, - .navbar.is-warning .navbar-end > .navbar-item, - .navbar.is-warning .navbar-end .navbar-link { - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-start > a.navbar-item:focus, .navbar.is-warning .navbar-start > a.navbar-item:hover, .navbar.is-warning .navbar-start > a.navbar-item.is-active, - .navbar.is-warning .navbar-start .navbar-link:focus, - .navbar.is-warning .navbar-start .navbar-link:hover, - .navbar.is-warning .navbar-start .navbar-link.is-active, - .navbar.is-warning .navbar-end > a.navbar-item:focus, - .navbar.is-warning .navbar-end > a.navbar-item:hover, - .navbar.is-warning .navbar-end > a.navbar-item.is-active, - .navbar.is-warning .navbar-end .navbar-link:focus, - .navbar.is-warning .navbar-end .navbar-link:hover, - .navbar.is-warning .navbar-end .navbar-link.is-active { - background-color: #ffd83e; - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-start .navbar-link::after, - .navbar.is-warning .navbar-end .navbar-link::after { - border-color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-warning .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-warning .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #ffd83e; - color: rgba(0, 0, 0, 0.7); } - .navbar.is-warning .navbar-dropdown a.navbar-item.is-active { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } } - .navbar.is-danger { - background-color: #da0b00; - color: #fff; } - .navbar.is-danger .navbar-brand > .navbar-item, - .navbar.is-danger .navbar-brand .navbar-link { - color: #fff; } - .navbar.is-danger .navbar-brand > a.navbar-item:focus, .navbar.is-danger .navbar-brand > a.navbar-item:hover, .navbar.is-danger .navbar-brand > a.navbar-item.is-active, - .navbar.is-danger .navbar-brand .navbar-link:focus, - .navbar.is-danger .navbar-brand .navbar-link:hover, - .navbar.is-danger .navbar-brand .navbar-link.is-active { - background-color: #c10a00; - color: #fff; } - .navbar.is-danger .navbar-brand .navbar-link::after { - border-color: #fff; } - .navbar.is-danger .navbar-burger { - color: #fff; } - @media screen and (min-width: 1056px) { - .navbar.is-danger .navbar-start > .navbar-item, - .navbar.is-danger .navbar-start .navbar-link, - .navbar.is-danger .navbar-end > .navbar-item, - .navbar.is-danger .navbar-end .navbar-link { - color: #fff; } - .navbar.is-danger .navbar-start > a.navbar-item:focus, .navbar.is-danger .navbar-start > a.navbar-item:hover, .navbar.is-danger .navbar-start > a.navbar-item.is-active, - .navbar.is-danger .navbar-start .navbar-link:focus, - .navbar.is-danger .navbar-start .navbar-link:hover, - .navbar.is-danger .navbar-start .navbar-link.is-active, - .navbar.is-danger .navbar-end > a.navbar-item:focus, - .navbar.is-danger .navbar-end > a.navbar-item:hover, - .navbar.is-danger .navbar-end > a.navbar-item.is-active, - .navbar.is-danger .navbar-end .navbar-link:focus, - .navbar.is-danger .navbar-end .navbar-link:hover, - .navbar.is-danger .navbar-end .navbar-link.is-active { - background-color: #c10a00; - color: #fff; } - .navbar.is-danger .navbar-start .navbar-link::after, - .navbar.is-danger .navbar-end .navbar-link::after { - border-color: #fff; } - .navbar.is-danger .navbar-item.has-dropdown:focus .navbar-link, - .navbar.is-danger .navbar-item.has-dropdown:hover .navbar-link, - .navbar.is-danger .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #c10a00; - color: #fff; } - .navbar.is-danger .navbar-dropdown a.navbar-item.is-active { - background-color: #da0b00; - color: #fff; } } - .navbar > .container { - align-items: stretch; - display: flex; - min-height: 3.25rem; - width: 100%; } - .navbar.has-shadow { - box-shadow: 0 2px 0 0 whitesmoke; } - .navbar.is-fixed-bottom, .navbar.is-fixed-top { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - .navbar.is-fixed-bottom { - bottom: 0; } - .navbar.is-fixed-bottom.has-shadow { - box-shadow: 0 -2px 0 0 whitesmoke; } - .navbar.is-fixed-top { - top: 0; } - -html.has-navbar-fixed-top, -body.has-navbar-fixed-top { - padding-top: 3.25rem; } - -html.has-navbar-fixed-bottom, -body.has-navbar-fixed-bottom { - padding-bottom: 3.25rem; } - -.navbar-brand, -.navbar-tabs { - align-items: stretch; - display: flex; - flex-shrink: 0; - min-height: 3.25rem; } - -.navbar-brand a.navbar-item:focus, .navbar-brand a.navbar-item:hover { - background-color: transparent; } - -.navbar-tabs { - -webkit-overflow-scrolling: touch; - max-width: 100vw; - overflow-x: auto; - overflow-y: hidden; } - -.navbar-burger { - color: #4a4a4a; - cursor: pointer; - display: block; - height: 3.25rem; - position: relative; - width: 3.25rem; - margin-left: auto; } - .navbar-burger span { - background-color: currentColor; - display: block; - height: 1px; - left: calc(50% - 8px); - position: absolute; - transform-origin: center; - transition-duration: 86ms; - transition-property: background-color, opacity, transform; - transition-timing-function: ease-out; - width: 16px; } - .navbar-burger span:nth-child(1) { - top: calc(50% - 6px); } - .navbar-burger span:nth-child(2) { - top: calc(50% - 1px); } - .navbar-burger span:nth-child(3) { - top: calc(50% + 4px); } - .navbar-burger:hover { - background-color: rgba(0, 0, 0, 0.05); } - .navbar-burger.is-active span:nth-child(1) { - transform: translateY(5px) rotate(45deg); } - .navbar-burger.is-active span:nth-child(2) { - opacity: 0; } - .navbar-burger.is-active span:nth-child(3) { - transform: translateY(-5px) rotate(-45deg); } - -.navbar-menu { - display: none; } - -.navbar-item, -.navbar-link { - color: #4a4a4a; - display: block; - line-height: 1.5; - padding: 0.5rem 0.75rem; - position: relative; } - .navbar-item .icon:only-child, - .navbar-link .icon:only-child { - margin-left: -0.25rem; - margin-right: -0.25rem; } - -a.navbar-item, -.navbar-link { - cursor: pointer; } - a.navbar-item:focus, a.navbar-item:focus-within, a.navbar-item:hover, a.navbar-item.is-active, - .navbar-link:focus, - .navbar-link:focus-within, - .navbar-link:hover, - .navbar-link.is-active { - background-color: #fafafa; - color: #2e63b8; } - -.navbar-item { - display: block; - flex-grow: 0; - flex-shrink: 0; } - .navbar-item img { - max-height: 1.75rem; } - .navbar-item.has-dropdown { - padding: 0; } - .navbar-item.is-expanded { - flex-grow: 1; - flex-shrink: 1; } - .navbar-item.is-tab { - border-bottom: 1px solid transparent; - min-height: 3.25rem; - padding-bottom: calc(0.5rem - 1px); } - .navbar-item.is-tab:focus, .navbar-item.is-tab:hover { - background-color: transparent; - border-bottom-color: #2e63b8; } - .navbar-item.is-tab.is-active { - background-color: transparent; - border-bottom-color: #2e63b8; - border-bottom-style: solid; - border-bottom-width: 3px; - color: #2e63b8; - padding-bottom: calc(0.5rem - 3px); } - -.navbar-content { - flex-grow: 1; - flex-shrink: 1; } - -.navbar-link:not(.is-arrowless) { - padding-right: 2.5em; } - .navbar-link:not(.is-arrowless)::after { - border-color: #2e63b8; - margin-top: -0.375em; - right: 1.125em; } - -.navbar-dropdown { - font-size: 0.875rem; - padding-bottom: 0.5rem; - padding-top: 0.5rem; } - .navbar-dropdown .navbar-item { - padding-left: 1.5rem; - padding-right: 1.5rem; } - -.navbar-divider { - background-color: whitesmoke; - border: none; - display: none; - height: 2px; - margin: 0.5rem 0; } - -@media screen and (max-width: 1055px) { - .navbar > .container { - display: block; } - .navbar-brand .navbar-item, - .navbar-tabs .navbar-item { - align-items: center; - display: flex; } - .navbar-link::after { - display: none; } - .navbar-menu { - background-color: white; - box-shadow: 0 8px 16px rgba(10, 10, 10, 0.1); - padding: 0.5rem 0; } - .navbar-menu.is-active { - display: block; } - .navbar.is-fixed-bottom-touch, .navbar.is-fixed-top-touch { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - .navbar.is-fixed-bottom-touch { - bottom: 0; } - .navbar.is-fixed-bottom-touch.has-shadow { - box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } - .navbar.is-fixed-top-touch { - top: 0; } - .navbar.is-fixed-top .navbar-menu, .navbar.is-fixed-top-touch .navbar-menu { - -webkit-overflow-scrolling: touch; - max-height: calc(100vh - 3.25rem); - overflow: auto; } - html.has-navbar-fixed-top-touch, - body.has-navbar-fixed-top-touch { - padding-top: 3.25rem; } - html.has-navbar-fixed-bottom-touch, - body.has-navbar-fixed-bottom-touch { - padding-bottom: 3.25rem; } } - -@media screen and (min-width: 1056px) { - .navbar, - .navbar-menu, - .navbar-start, - .navbar-end { - align-items: stretch; - display: flex; } - .navbar { - min-height: 3.25rem; } - .navbar.is-spaced { - padding: 1rem 2rem; } - .navbar.is-spaced .navbar-start, - .navbar.is-spaced .navbar-end { - align-items: center; } - .navbar.is-spaced a.navbar-item, - .navbar.is-spaced .navbar-link { - border-radius: 4px; } - .navbar.is-transparent a.navbar-item:focus, .navbar.is-transparent a.navbar-item:hover, .navbar.is-transparent a.navbar-item.is-active, - .navbar.is-transparent .navbar-link:focus, - .navbar.is-transparent .navbar-link:hover, - .navbar.is-transparent .navbar-link.is-active { - background-color: transparent !important; } - .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within .navbar-link, .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:hover .navbar-link { - background-color: transparent !important; } - .navbar.is-transparent .navbar-dropdown a.navbar-item:focus, .navbar.is-transparent .navbar-dropdown a.navbar-item:hover { - background-color: whitesmoke; - color: #0a0a0a; } - .navbar.is-transparent .navbar-dropdown a.navbar-item.is-active { - background-color: whitesmoke; - color: #2e63b8; } - .navbar-burger { - display: none; } - .navbar-item, - .navbar-link { - align-items: center; - display: flex; } - .navbar-item { - display: flex; } - .navbar-item.has-dropdown { - align-items: stretch; } - .navbar-item.has-dropdown-up .navbar-link::after { - transform: rotate(135deg) translate(0.25em, -0.25em); } - .navbar-item.has-dropdown-up .navbar-dropdown { - border-bottom: 2px solid #dbdbdb; - border-radius: 6px 6px 0 0; - border-top: none; - bottom: 100%; - box-shadow: 0 -8px 8px rgba(10, 10, 10, 0.1); - top: auto; } - .navbar-item.is-active .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown { - display: block; } - .navbar.is-spaced .navbar-item.is-active .navbar-dropdown, .navbar-item.is-active .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus .navbar-dropdown, .navbar-item.is-hoverable:focus .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:focus-within .navbar-dropdown, .navbar-item.is-hoverable:focus-within .navbar-dropdown.is-boxed, .navbar.is-spaced .navbar-item.is-hoverable:hover .navbar-dropdown, .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed { - opacity: 1; - pointer-events: auto; - transform: translateY(0); } - .navbar-menu { - flex-grow: 1; - flex-shrink: 0; } - .navbar-start { - justify-content: flex-start; - margin-right: auto; } - .navbar-end { - justify-content: flex-end; - margin-left: auto; } - .navbar-dropdown { - background-color: white; - border-bottom-left-radius: 6px; - border-bottom-right-radius: 6px; - border-top: 2px solid #dbdbdb; - box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1); - display: none; - font-size: 0.875rem; - left: 0; - min-width: 100%; - position: absolute; - top: 100%; - z-index: 20; } - .navbar-dropdown .navbar-item { - padding: 0.375rem 1rem; - white-space: nowrap; } - .navbar-dropdown a.navbar-item { - padding-right: 3rem; } - .navbar-dropdown a.navbar-item:focus, .navbar-dropdown a.navbar-item:hover { - background-color: whitesmoke; - color: #0a0a0a; } - .navbar-dropdown a.navbar-item.is-active { - background-color: whitesmoke; - color: #2e63b8; } - .navbar.is-spaced .navbar-dropdown, .navbar-dropdown.is-boxed { - border-radius: 6px; - border-top: none; - box-shadow: 0 8px 8px rgba(10, 10, 10, 0.1), 0 0 0 1px rgba(10, 10, 10, 0.1); - display: block; - opacity: 0; - pointer-events: none; - top: calc(100% + (-4px)); - transform: translateY(-5px); - transition-duration: 86ms; - transition-property: opacity, transform; } - .navbar-dropdown.is-right { - left: auto; - right: 0; } - .navbar-divider { - display: block; } - .navbar > .container .navbar-brand, - .container > .navbar .navbar-brand { - margin-left: -.75rem; } - .navbar > .container .navbar-menu, - .container > .navbar .navbar-menu { - margin-right: -.75rem; } - .navbar.is-fixed-bottom-desktop, .navbar.is-fixed-top-desktop { - left: 0; - position: fixed; - right: 0; - z-index: 30; } - .navbar.is-fixed-bottom-desktop { - bottom: 0; } - .navbar.is-fixed-bottom-desktop.has-shadow { - box-shadow: 0 -2px 3px rgba(10, 10, 10, 0.1); } - .navbar.is-fixed-top-desktop { - top: 0; } - html.has-navbar-fixed-top-desktop, - body.has-navbar-fixed-top-desktop { - padding-top: 3.25rem; } - html.has-navbar-fixed-bottom-desktop, - body.has-navbar-fixed-bottom-desktop { - padding-bottom: 3.25rem; } - html.has-spaced-navbar-fixed-top, - body.has-spaced-navbar-fixed-top { - padding-top: 5.25rem; } - html.has-spaced-navbar-fixed-bottom, - body.has-spaced-navbar-fixed-bottom { - padding-bottom: 5.25rem; } - a.navbar-item.is-active, - .navbar-link.is-active { - color: #0a0a0a; } - a.navbar-item.is-active:not(:focus):not(:hover), - .navbar-link.is-active:not(:focus):not(:hover) { - background-color: transparent; } - .navbar-item.has-dropdown:focus .navbar-link, .navbar-item.has-dropdown:hover .navbar-link, .navbar-item.has-dropdown.is-active .navbar-link { - background-color: #fafafa; } } - -.hero.is-fullheight-with-navbar { - min-height: calc(100vh - 3.25rem); } - -.pagination { - font-size: 1rem; - margin: -0.25rem; } - .pagination.is-small, #documenter .docs-sidebar form.docs-search > input.pagination { - font-size: 0.75rem; } - .pagination.is-medium { - font-size: 1.25rem; } - .pagination.is-large { - font-size: 1.5rem; } - .pagination.is-rounded .pagination-previous, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-previous, - .pagination.is-rounded .pagination-next, - #documenter .docs-sidebar form.docs-search > input.pagination .pagination-next { - padding-left: 1em; - padding-right: 1em; - border-radius: 290486px; } - .pagination.is-rounded .pagination-link, #documenter .docs-sidebar form.docs-search > input.pagination .pagination-link { - border-radius: 290486px; } - -.pagination, -.pagination-list { - align-items: center; - display: flex; - justify-content: center; - text-align: center; } - -.pagination-previous, -.pagination-next, -.pagination-link, -.pagination-ellipsis { - font-size: 1em; - justify-content: center; - margin: 0.25rem; - padding-left: 0.5em; - padding-right: 0.5em; - text-align: center; } - -.pagination-previous, -.pagination-next, -.pagination-link { - border-color: #dbdbdb; - color: #363636; - min-width: 2.25em; } - .pagination-previous:hover, - .pagination-next:hover, - .pagination-link:hover { - border-color: #b5b5b5; - color: #363636; } - .pagination-previous:focus, - .pagination-next:focus, - .pagination-link:focus { - border-color: #3c5dcd; } - .pagination-previous:active, - .pagination-next:active, - .pagination-link:active { - box-shadow: inset 0 1px 2px rgba(10, 10, 10, 0.2); } - .pagination-previous[disabled], - .pagination-next[disabled], - .pagination-link[disabled] { - background-color: #dbdbdb; - border-color: #dbdbdb; - box-shadow: none; - color: #6b6b6b; - opacity: 0.5; } - -.pagination-previous, -.pagination-next { - padding-left: 0.75em; - padding-right: 0.75em; - white-space: nowrap; } - -.pagination-link.is-current { - background-color: #2e63b8; - border-color: #2e63b8; - color: #fff; } - -.pagination-ellipsis { - color: #b5b5b5; - pointer-events: none; } - -.pagination-list { - flex-wrap: wrap; } - -@media screen and (max-width: 768px) { - .pagination { - flex-wrap: wrap; } - .pagination-previous, - .pagination-next { - flex-grow: 1; - flex-shrink: 1; } - .pagination-list li { - flex-grow: 1; - flex-shrink: 1; } } - -@media screen and (min-width: 769px), print { - .pagination-list { - flex-grow: 1; - flex-shrink: 1; - justify-content: flex-start; - order: 1; } - .pagination-previous { - order: 2; } - .pagination-next { - order: 3; } - .pagination { - justify-content: space-between; } - .pagination.is-centered .pagination-previous { - order: 1; } - .pagination.is-centered .pagination-list { - justify-content: center; - order: 2; } - .pagination.is-centered .pagination-next { - order: 3; } - .pagination.is-right .pagination-previous { - order: 1; } - .pagination.is-right .pagination-next { - order: 2; } - .pagination.is-right .pagination-list { - justify-content: flex-end; - order: 3; } } - -.panel { - font-size: 1rem; } - .panel:not(:last-child) { - margin-bottom: 1.5rem; } - -.panel-heading, -.panel-tabs, -.panel-block { - border-bottom: 1px solid #dbdbdb; - border-left: 1px solid #dbdbdb; - border-right: 1px solid #dbdbdb; } - .panel-heading:first-child, - .panel-tabs:first-child, - .panel-block:first-child { - border-top: 1px solid #dbdbdb; } - -.panel-heading { - background-color: whitesmoke; - border-radius: 4px 4px 0 0; - color: #222222; - font-size: 1.25em; - font-weight: 300; - line-height: 1.25; - padding: 0.5em 0.75em; } - -.panel-tabs { - align-items: flex-end; - display: flex; - font-size: 0.875em; - justify-content: center; } - .panel-tabs a { - border-bottom: 1px solid #dbdbdb; - margin-bottom: -1px; - padding: 0.5em; } - .panel-tabs a.is-active { - border-bottom-color: #4a4a4a; - color: #363636; } - -.panel-list a { - color: #222222; } - .panel-list a:hover { - color: #2e63b8; } - -.panel-block { - align-items: center; - color: #222222; - display: flex; - justify-content: flex-start; - padding: 0.5em 0.75em; } - .panel-block input[type="checkbox"] { - margin-right: 0.75em; } - .panel-block > .control { - flex-grow: 1; - flex-shrink: 1; - width: 100%; } - .panel-block.is-wrapped { - flex-wrap: wrap; } - .panel-block.is-active { - border-left-color: #2e63b8; - color: #363636; } - .panel-block.is-active .panel-icon { - color: #2e63b8; } - -a.panel-block, -label.panel-block { - cursor: pointer; } - a.panel-block:hover, - label.panel-block:hover { - background-color: whitesmoke; } - -.panel-icon { - display: inline-block; - font-size: 14px; - height: 1em; - line-height: 1em; - text-align: center; - vertical-align: top; - width: 1em; - color: #6b6b6b; - margin-right: 0.75em; } - .panel-icon .fa { - font-size: inherit; - line-height: inherit; } - -.tabs { - -webkit-overflow-scrolling: touch; - align-items: stretch; - display: flex; - font-size: 1rem; - justify-content: space-between; - overflow: hidden; - overflow-x: auto; - white-space: nowrap; } - .tabs a { - align-items: center; - border-bottom-color: #dbdbdb; - border-bottom-style: solid; - border-bottom-width: 1px; - color: #222222; - display: flex; - justify-content: center; - margin-bottom: -1px; - padding: 0.5em 1em; - vertical-align: top; } - .tabs a:hover { - border-bottom-color: #222222; - color: #222222; } - .tabs li { - display: block; } - .tabs li.is-active a { - border-bottom-color: #2e63b8; - color: #2e63b8; } - .tabs ul { - align-items: center; - border-bottom-color: #dbdbdb; - border-bottom-style: solid; - border-bottom-width: 1px; - display: flex; - flex-grow: 1; - flex-shrink: 0; - justify-content: flex-start; } - .tabs ul.is-left { - padding-right: 0.75em; } - .tabs ul.is-center { - flex: none; - justify-content: center; - padding-left: 0.75em; - padding-right: 0.75em; } - .tabs ul.is-right { - justify-content: flex-end; - padding-left: 0.75em; } - .tabs .icon:first-child { - margin-right: 0.5em; } - .tabs .icon:last-child { - margin-left: 0.5em; } - .tabs.is-centered ul { - justify-content: center; } - .tabs.is-right ul { - justify-content: flex-end; } - .tabs.is-boxed a { - border: 1px solid transparent; - border-radius: 4px 4px 0 0; } - .tabs.is-boxed a:hover { - background-color: whitesmoke; - border-bottom-color: #dbdbdb; } - .tabs.is-boxed li.is-active a { - background-color: white; - border-color: #dbdbdb; - border-bottom-color: transparent !important; } - .tabs.is-fullwidth li { - flex-grow: 1; - flex-shrink: 0; } - .tabs.is-toggle a { - border-color: #dbdbdb; - border-style: solid; - border-width: 1px; - margin-bottom: 0; - position: relative; } - .tabs.is-toggle a:hover { - background-color: whitesmoke; - border-color: #b5b5b5; - z-index: 2; } - .tabs.is-toggle li + li { - margin-left: -1px; } - .tabs.is-toggle li:first-child a { - border-radius: 4px 0 0 4px; } - .tabs.is-toggle li:last-child a { - border-radius: 0 4px 4px 0; } - .tabs.is-toggle li.is-active a { - background-color: #2e63b8; - border-color: #2e63b8; - color: #fff; - z-index: 1; } - .tabs.is-toggle ul { - border-bottom: none; } - .tabs.is-toggle.is-toggle-rounded li:first-child a { - border-bottom-left-radius: 290486px; - border-top-left-radius: 290486px; - padding-left: 1.25em; } - .tabs.is-toggle.is-toggle-rounded li:last-child a { - border-bottom-right-radius: 290486px; - border-top-right-radius: 290486px; - padding-right: 1.25em; } - .tabs.is-small, #documenter .docs-sidebar form.docs-search > input.tabs { - font-size: 0.75rem; } - .tabs.is-medium { - font-size: 1.25rem; } - .tabs.is-large { - font-size: 1.5rem; } - -.column { - display: block; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 1; - padding: 0.75rem; } - .columns.is-mobile > .column.is-narrow { - flex: none; } - .columns.is-mobile > .column.is-full { - flex: none; - width: 100%; } - .columns.is-mobile > .column.is-three-quarters { - flex: none; - width: 75%; } - .columns.is-mobile > .column.is-two-thirds { - flex: none; - width: 66.6666%; } - .columns.is-mobile > .column.is-half { - flex: none; - width: 50%; } - .columns.is-mobile > .column.is-one-third { - flex: none; - width: 33.3333%; } - .columns.is-mobile > .column.is-one-quarter { - flex: none; - width: 25%; } - .columns.is-mobile > .column.is-one-fifth { - flex: none; - width: 20%; } - .columns.is-mobile > .column.is-two-fifths { - flex: none; - width: 40%; } - .columns.is-mobile > .column.is-three-fifths { - flex: none; - width: 60%; } - .columns.is-mobile > .column.is-four-fifths { - flex: none; - width: 80%; } - .columns.is-mobile > .column.is-offset-three-quarters { - margin-left: 75%; } - .columns.is-mobile > .column.is-offset-two-thirds { - margin-left: 66.6666%; } - .columns.is-mobile > .column.is-offset-half { - margin-left: 50%; } - .columns.is-mobile > .column.is-offset-one-third { - margin-left: 33.3333%; } - .columns.is-mobile > .column.is-offset-one-quarter { - margin-left: 25%; } - .columns.is-mobile > .column.is-offset-one-fifth { - margin-left: 20%; } - .columns.is-mobile > .column.is-offset-two-fifths { - margin-left: 40%; } - .columns.is-mobile > .column.is-offset-three-fifths { - margin-left: 60%; } - .columns.is-mobile > .column.is-offset-four-fifths { - margin-left: 80%; } - .columns.is-mobile > .column.is-0 { - flex: none; - width: 0%; } - .columns.is-mobile > .column.is-offset-0 { - margin-left: 0%; } - .columns.is-mobile > .column.is-1 { - flex: none; - width: 8.33333%; } - .columns.is-mobile > .column.is-offset-1 { - margin-left: 8.33333%; } - .columns.is-mobile > .column.is-2 { - flex: none; - width: 16.66667%; } - .columns.is-mobile > .column.is-offset-2 { - margin-left: 16.66667%; } - .columns.is-mobile > .column.is-3 { - flex: none; - width: 25%; } - .columns.is-mobile > .column.is-offset-3 { - margin-left: 25%; } - .columns.is-mobile > .column.is-4 { - flex: none; - width: 33.33333%; } - .columns.is-mobile > .column.is-offset-4 { - margin-left: 33.33333%; } - .columns.is-mobile > .column.is-5 { - flex: none; - width: 41.66667%; } - .columns.is-mobile > .column.is-offset-5 { - margin-left: 41.66667%; } - .columns.is-mobile > .column.is-6 { - flex: none; - width: 50%; } - .columns.is-mobile > .column.is-offset-6 { - margin-left: 50%; } - .columns.is-mobile > .column.is-7 { - flex: none; - width: 58.33333%; } - .columns.is-mobile > .column.is-offset-7 { - margin-left: 58.33333%; } - .columns.is-mobile > .column.is-8 { - flex: none; - width: 66.66667%; } - .columns.is-mobile > .column.is-offset-8 { - margin-left: 66.66667%; } - .columns.is-mobile > .column.is-9 { - flex: none; - width: 75%; } - .columns.is-mobile > .column.is-offset-9 { - margin-left: 75%; } - .columns.is-mobile > .column.is-10 { - flex: none; - width: 83.33333%; } - .columns.is-mobile > .column.is-offset-10 { - margin-left: 83.33333%; } - .columns.is-mobile > .column.is-11 { - flex: none; - width: 91.66667%; } - .columns.is-mobile > .column.is-offset-11 { - margin-left: 91.66667%; } - .columns.is-mobile > .column.is-12 { - flex: none; - width: 100%; } - .columns.is-mobile > .column.is-offset-12 { - margin-left: 100%; } - @media screen and (max-width: 768px) { - .column.is-narrow-mobile { - flex: none; } - .column.is-full-mobile { - flex: none; - width: 100%; } - .column.is-three-quarters-mobile { - flex: none; - width: 75%; } - .column.is-two-thirds-mobile { - flex: none; - width: 66.6666%; } - .column.is-half-mobile { - flex: none; - width: 50%; } - .column.is-one-third-mobile { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-mobile { - flex: none; - width: 25%; } - .column.is-one-fifth-mobile { - flex: none; - width: 20%; } - .column.is-two-fifths-mobile { - flex: none; - width: 40%; } - .column.is-three-fifths-mobile { - flex: none; - width: 60%; } - .column.is-four-fifths-mobile { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-mobile { - margin-left: 75%; } - .column.is-offset-two-thirds-mobile { - margin-left: 66.6666%; } - .column.is-offset-half-mobile { - margin-left: 50%; } - .column.is-offset-one-third-mobile { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-mobile { - margin-left: 25%; } - .column.is-offset-one-fifth-mobile { - margin-left: 20%; } - .column.is-offset-two-fifths-mobile { - margin-left: 40%; } - .column.is-offset-three-fifths-mobile { - margin-left: 60%; } - .column.is-offset-four-fifths-mobile { - margin-left: 80%; } - .column.is-0-mobile { - flex: none; - width: 0%; } - .column.is-offset-0-mobile { - margin-left: 0%; } - .column.is-1-mobile { - flex: none; - width: 8.33333%; } - .column.is-offset-1-mobile { - margin-left: 8.33333%; } - .column.is-2-mobile { - flex: none; - width: 16.66667%; } - .column.is-offset-2-mobile { - margin-left: 16.66667%; } - .column.is-3-mobile { - flex: none; - width: 25%; } - .column.is-offset-3-mobile { - margin-left: 25%; } - .column.is-4-mobile { - flex: none; - width: 33.33333%; } - .column.is-offset-4-mobile { - margin-left: 33.33333%; } - .column.is-5-mobile { - flex: none; - width: 41.66667%; } - .column.is-offset-5-mobile { - margin-left: 41.66667%; } - .column.is-6-mobile { - flex: none; - width: 50%; } - .column.is-offset-6-mobile { - margin-left: 50%; } - .column.is-7-mobile { - flex: none; - width: 58.33333%; } - .column.is-offset-7-mobile { - margin-left: 58.33333%; } - .column.is-8-mobile { - flex: none; - width: 66.66667%; } - .column.is-offset-8-mobile { - margin-left: 66.66667%; } - .column.is-9-mobile { - flex: none; - width: 75%; } - .column.is-offset-9-mobile { - margin-left: 75%; } - .column.is-10-mobile { - flex: none; - width: 83.33333%; } - .column.is-offset-10-mobile { - margin-left: 83.33333%; } - .column.is-11-mobile { - flex: none; - width: 91.66667%; } - .column.is-offset-11-mobile { - margin-left: 91.66667%; } - .column.is-12-mobile { - flex: none; - width: 100%; } - .column.is-offset-12-mobile { - margin-left: 100%; } } - @media screen and (min-width: 769px), print { - .column.is-narrow, .column.is-narrow-tablet { - flex: none; } - .column.is-full, .column.is-full-tablet { - flex: none; - width: 100%; } - .column.is-three-quarters, .column.is-three-quarters-tablet { - flex: none; - width: 75%; } - .column.is-two-thirds, .column.is-two-thirds-tablet { - flex: none; - width: 66.6666%; } - .column.is-half, .column.is-half-tablet { - flex: none; - width: 50%; } - .column.is-one-third, .column.is-one-third-tablet { - flex: none; - width: 33.3333%; } - .column.is-one-quarter, .column.is-one-quarter-tablet { - flex: none; - width: 25%; } - .column.is-one-fifth, .column.is-one-fifth-tablet { - flex: none; - width: 20%; } - .column.is-two-fifths, .column.is-two-fifths-tablet { - flex: none; - width: 40%; } - .column.is-three-fifths, .column.is-three-fifths-tablet { - flex: none; - width: 60%; } - .column.is-four-fifths, .column.is-four-fifths-tablet { - flex: none; - width: 80%; } - .column.is-offset-three-quarters, .column.is-offset-three-quarters-tablet { - margin-left: 75%; } - .column.is-offset-two-thirds, .column.is-offset-two-thirds-tablet { - margin-left: 66.6666%; } - .column.is-offset-half, .column.is-offset-half-tablet { - margin-left: 50%; } - .column.is-offset-one-third, .column.is-offset-one-third-tablet { - margin-left: 33.3333%; } - .column.is-offset-one-quarter, .column.is-offset-one-quarter-tablet { - margin-left: 25%; } - .column.is-offset-one-fifth, .column.is-offset-one-fifth-tablet { - margin-left: 20%; } - .column.is-offset-two-fifths, .column.is-offset-two-fifths-tablet { - margin-left: 40%; } - .column.is-offset-three-fifths, .column.is-offset-three-fifths-tablet { - margin-left: 60%; } - .column.is-offset-four-fifths, .column.is-offset-four-fifths-tablet { - margin-left: 80%; } - .column.is-0, .column.is-0-tablet { - flex: none; - width: 0%; } - .column.is-offset-0, .column.is-offset-0-tablet { - margin-left: 0%; } - .column.is-1, .column.is-1-tablet { - flex: none; - width: 8.33333%; } - .column.is-offset-1, .column.is-offset-1-tablet { - margin-left: 8.33333%; } - .column.is-2, .column.is-2-tablet { - flex: none; - width: 16.66667%; } - .column.is-offset-2, .column.is-offset-2-tablet { - margin-left: 16.66667%; } - .column.is-3, .column.is-3-tablet { - flex: none; - width: 25%; } - .column.is-offset-3, .column.is-offset-3-tablet { - margin-left: 25%; } - .column.is-4, .column.is-4-tablet { - flex: none; - width: 33.33333%; } - .column.is-offset-4, .column.is-offset-4-tablet { - margin-left: 33.33333%; } - .column.is-5, .column.is-5-tablet { - flex: none; - width: 41.66667%; } - .column.is-offset-5, .column.is-offset-5-tablet { - margin-left: 41.66667%; } - .column.is-6, .column.is-6-tablet { - flex: none; - width: 50%; } - .column.is-offset-6, .column.is-offset-6-tablet { - margin-left: 50%; } - .column.is-7, .column.is-7-tablet { - flex: none; - width: 58.33333%; } - .column.is-offset-7, .column.is-offset-7-tablet { - margin-left: 58.33333%; } - .column.is-8, .column.is-8-tablet { - flex: none; - width: 66.66667%; } - .column.is-offset-8, .column.is-offset-8-tablet { - margin-left: 66.66667%; } - .column.is-9, .column.is-9-tablet { - flex: none; - width: 75%; } - .column.is-offset-9, .column.is-offset-9-tablet { - margin-left: 75%; } - .column.is-10, .column.is-10-tablet { - flex: none; - width: 83.33333%; } - .column.is-offset-10, .column.is-offset-10-tablet { - margin-left: 83.33333%; } - .column.is-11, .column.is-11-tablet { - flex: none; - width: 91.66667%; } - .column.is-offset-11, .column.is-offset-11-tablet { - margin-left: 91.66667%; } - .column.is-12, .column.is-12-tablet { - flex: none; - width: 100%; } - .column.is-offset-12, .column.is-offset-12-tablet { - margin-left: 100%; } } - @media screen and (max-width: 1055px) { - .column.is-narrow-touch { - flex: none; } - .column.is-full-touch { - flex: none; - width: 100%; } - .column.is-three-quarters-touch { - flex: none; - width: 75%; } - .column.is-two-thirds-touch { - flex: none; - width: 66.6666%; } - .column.is-half-touch { - flex: none; - width: 50%; } - .column.is-one-third-touch { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-touch { - flex: none; - width: 25%; } - .column.is-one-fifth-touch { - flex: none; - width: 20%; } - .column.is-two-fifths-touch { - flex: none; - width: 40%; } - .column.is-three-fifths-touch { - flex: none; - width: 60%; } - .column.is-four-fifths-touch { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-touch { - margin-left: 75%; } - .column.is-offset-two-thirds-touch { - margin-left: 66.6666%; } - .column.is-offset-half-touch { - margin-left: 50%; } - .column.is-offset-one-third-touch { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-touch { - margin-left: 25%; } - .column.is-offset-one-fifth-touch { - margin-left: 20%; } - .column.is-offset-two-fifths-touch { - margin-left: 40%; } - .column.is-offset-three-fifths-touch { - margin-left: 60%; } - .column.is-offset-four-fifths-touch { - margin-left: 80%; } - .column.is-0-touch { - flex: none; - width: 0%; } - .column.is-offset-0-touch { - margin-left: 0%; } - .column.is-1-touch { - flex: none; - width: 8.33333%; } - .column.is-offset-1-touch { - margin-left: 8.33333%; } - .column.is-2-touch { - flex: none; - width: 16.66667%; } - .column.is-offset-2-touch { - margin-left: 16.66667%; } - .column.is-3-touch { - flex: none; - width: 25%; } - .column.is-offset-3-touch { - margin-left: 25%; } - .column.is-4-touch { - flex: none; - width: 33.33333%; } - .column.is-offset-4-touch { - margin-left: 33.33333%; } - .column.is-5-touch { - flex: none; - width: 41.66667%; } - .column.is-offset-5-touch { - margin-left: 41.66667%; } - .column.is-6-touch { - flex: none; - width: 50%; } - .column.is-offset-6-touch { - margin-left: 50%; } - .column.is-7-touch { - flex: none; - width: 58.33333%; } - .column.is-offset-7-touch { - margin-left: 58.33333%; } - .column.is-8-touch { - flex: none; - width: 66.66667%; } - .column.is-offset-8-touch { - margin-left: 66.66667%; } - .column.is-9-touch { - flex: none; - width: 75%; } - .column.is-offset-9-touch { - margin-left: 75%; } - .column.is-10-touch { - flex: none; - width: 83.33333%; } - .column.is-offset-10-touch { - margin-left: 83.33333%; } - .column.is-11-touch { - flex: none; - width: 91.66667%; } - .column.is-offset-11-touch { - margin-left: 91.66667%; } - .column.is-12-touch { - flex: none; - width: 100%; } - .column.is-offset-12-touch { - margin-left: 100%; } } - @media screen and (min-width: 1056px) { - .column.is-narrow-desktop { - flex: none; } - .column.is-full-desktop { - flex: none; - width: 100%; } - .column.is-three-quarters-desktop { - flex: none; - width: 75%; } - .column.is-two-thirds-desktop { - flex: none; - width: 66.6666%; } - .column.is-half-desktop { - flex: none; - width: 50%; } - .column.is-one-third-desktop { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-desktop { - flex: none; - width: 25%; } - .column.is-one-fifth-desktop { - flex: none; - width: 20%; } - .column.is-two-fifths-desktop { - flex: none; - width: 40%; } - .column.is-three-fifths-desktop { - flex: none; - width: 60%; } - .column.is-four-fifths-desktop { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-desktop { - margin-left: 75%; } - .column.is-offset-two-thirds-desktop { - margin-left: 66.6666%; } - .column.is-offset-half-desktop { - margin-left: 50%; } - .column.is-offset-one-third-desktop { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-desktop { - margin-left: 25%; } - .column.is-offset-one-fifth-desktop { - margin-left: 20%; } - .column.is-offset-two-fifths-desktop { - margin-left: 40%; } - .column.is-offset-three-fifths-desktop { - margin-left: 60%; } - .column.is-offset-four-fifths-desktop { - margin-left: 80%; } - .column.is-0-desktop { - flex: none; - width: 0%; } - .column.is-offset-0-desktop { - margin-left: 0%; } - .column.is-1-desktop { - flex: none; - width: 8.33333%; } - .column.is-offset-1-desktop { - margin-left: 8.33333%; } - .column.is-2-desktop { - flex: none; - width: 16.66667%; } - .column.is-offset-2-desktop { - margin-left: 16.66667%; } - .column.is-3-desktop { - flex: none; - width: 25%; } - .column.is-offset-3-desktop { - margin-left: 25%; } - .column.is-4-desktop { - flex: none; - width: 33.33333%; } - .column.is-offset-4-desktop { - margin-left: 33.33333%; } - .column.is-5-desktop { - flex: none; - width: 41.66667%; } - .column.is-offset-5-desktop { - margin-left: 41.66667%; } - .column.is-6-desktop { - flex: none; - width: 50%; } - .column.is-offset-6-desktop { - margin-left: 50%; } - .column.is-7-desktop { - flex: none; - width: 58.33333%; } - .column.is-offset-7-desktop { - margin-left: 58.33333%; } - .column.is-8-desktop { - flex: none; - width: 66.66667%; } - .column.is-offset-8-desktop { - margin-left: 66.66667%; } - .column.is-9-desktop { - flex: none; - width: 75%; } - .column.is-offset-9-desktop { - margin-left: 75%; } - .column.is-10-desktop { - flex: none; - width: 83.33333%; } - .column.is-offset-10-desktop { - margin-left: 83.33333%; } - .column.is-11-desktop { - flex: none; - width: 91.66667%; } - .column.is-offset-11-desktop { - margin-left: 91.66667%; } - .column.is-12-desktop { - flex: none; - width: 100%; } - .column.is-offset-12-desktop { - margin-left: 100%; } } - @media screen and (min-width: 1216px) { - .column.is-narrow-widescreen { - flex: none; } - .column.is-full-widescreen { - flex: none; - width: 100%; } - .column.is-three-quarters-widescreen { - flex: none; - width: 75%; } - .column.is-two-thirds-widescreen { - flex: none; - width: 66.6666%; } - .column.is-half-widescreen { - flex: none; - width: 50%; } - .column.is-one-third-widescreen { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-widescreen { - flex: none; - width: 25%; } - .column.is-one-fifth-widescreen { - flex: none; - width: 20%; } - .column.is-two-fifths-widescreen { - flex: none; - width: 40%; } - .column.is-three-fifths-widescreen { - flex: none; - width: 60%; } - .column.is-four-fifths-widescreen { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-widescreen { - margin-left: 75%; } - .column.is-offset-two-thirds-widescreen { - margin-left: 66.6666%; } - .column.is-offset-half-widescreen { - margin-left: 50%; } - .column.is-offset-one-third-widescreen { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-widescreen { - margin-left: 25%; } - .column.is-offset-one-fifth-widescreen { - margin-left: 20%; } - .column.is-offset-two-fifths-widescreen { - margin-left: 40%; } - .column.is-offset-three-fifths-widescreen { - margin-left: 60%; } - .column.is-offset-four-fifths-widescreen { - margin-left: 80%; } - .column.is-0-widescreen { - flex: none; - width: 0%; } - .column.is-offset-0-widescreen { - margin-left: 0%; } - .column.is-1-widescreen { - flex: none; - width: 8.33333%; } - .column.is-offset-1-widescreen { - margin-left: 8.33333%; } - .column.is-2-widescreen { - flex: none; - width: 16.66667%; } - .column.is-offset-2-widescreen { - margin-left: 16.66667%; } - .column.is-3-widescreen { - flex: none; - width: 25%; } - .column.is-offset-3-widescreen { - margin-left: 25%; } - .column.is-4-widescreen { - flex: none; - width: 33.33333%; } - .column.is-offset-4-widescreen { - margin-left: 33.33333%; } - .column.is-5-widescreen { - flex: none; - width: 41.66667%; } - .column.is-offset-5-widescreen { - margin-left: 41.66667%; } - .column.is-6-widescreen { - flex: none; - width: 50%; } - .column.is-offset-6-widescreen { - margin-left: 50%; } - .column.is-7-widescreen { - flex: none; - width: 58.33333%; } - .column.is-offset-7-widescreen { - margin-left: 58.33333%; } - .column.is-8-widescreen { - flex: none; - width: 66.66667%; } - .column.is-offset-8-widescreen { - margin-left: 66.66667%; } - .column.is-9-widescreen { - flex: none; - width: 75%; } - .column.is-offset-9-widescreen { - margin-left: 75%; } - .column.is-10-widescreen { - flex: none; - width: 83.33333%; } - .column.is-offset-10-widescreen { - margin-left: 83.33333%; } - .column.is-11-widescreen { - flex: none; - width: 91.66667%; } - .column.is-offset-11-widescreen { - margin-left: 91.66667%; } - .column.is-12-widescreen { - flex: none; - width: 100%; } - .column.is-offset-12-widescreen { - margin-left: 100%; } } - @media screen and (min-width: 1408px) { - .column.is-narrow-fullhd { - flex: none; } - .column.is-full-fullhd { - flex: none; - width: 100%; } - .column.is-three-quarters-fullhd { - flex: none; - width: 75%; } - .column.is-two-thirds-fullhd { - flex: none; - width: 66.6666%; } - .column.is-half-fullhd { - flex: none; - width: 50%; } - .column.is-one-third-fullhd { - flex: none; - width: 33.3333%; } - .column.is-one-quarter-fullhd { - flex: none; - width: 25%; } - .column.is-one-fifth-fullhd { - flex: none; - width: 20%; } - .column.is-two-fifths-fullhd { - flex: none; - width: 40%; } - .column.is-three-fifths-fullhd { - flex: none; - width: 60%; } - .column.is-four-fifths-fullhd { - flex: none; - width: 80%; } - .column.is-offset-three-quarters-fullhd { - margin-left: 75%; } - .column.is-offset-two-thirds-fullhd { - margin-left: 66.6666%; } - .column.is-offset-half-fullhd { - margin-left: 50%; } - .column.is-offset-one-third-fullhd { - margin-left: 33.3333%; } - .column.is-offset-one-quarter-fullhd { - margin-left: 25%; } - .column.is-offset-one-fifth-fullhd { - margin-left: 20%; } - .column.is-offset-two-fifths-fullhd { - margin-left: 40%; } - .column.is-offset-three-fifths-fullhd { - margin-left: 60%; } - .column.is-offset-four-fifths-fullhd { - margin-left: 80%; } - .column.is-0-fullhd { - flex: none; - width: 0%; } - .column.is-offset-0-fullhd { - margin-left: 0%; } - .column.is-1-fullhd { - flex: none; - width: 8.33333%; } - .column.is-offset-1-fullhd { - margin-left: 8.33333%; } - .column.is-2-fullhd { - flex: none; - width: 16.66667%; } - .column.is-offset-2-fullhd { - margin-left: 16.66667%; } - .column.is-3-fullhd { - flex: none; - width: 25%; } - .column.is-offset-3-fullhd { - margin-left: 25%; } - .column.is-4-fullhd { - flex: none; - width: 33.33333%; } - .column.is-offset-4-fullhd { - margin-left: 33.33333%; } - .column.is-5-fullhd { - flex: none; - width: 41.66667%; } - .column.is-offset-5-fullhd { - margin-left: 41.66667%; } - .column.is-6-fullhd { - flex: none; - width: 50%; } - .column.is-offset-6-fullhd { - margin-left: 50%; } - .column.is-7-fullhd { - flex: none; - width: 58.33333%; } - .column.is-offset-7-fullhd { - margin-left: 58.33333%; } - .column.is-8-fullhd { - flex: none; - width: 66.66667%; } - .column.is-offset-8-fullhd { - margin-left: 66.66667%; } - .column.is-9-fullhd { - flex: none; - width: 75%; } - .column.is-offset-9-fullhd { - margin-left: 75%; } - .column.is-10-fullhd { - flex: none; - width: 83.33333%; } - .column.is-offset-10-fullhd { - margin-left: 83.33333%; } - .column.is-11-fullhd { - flex: none; - width: 91.66667%; } - .column.is-offset-11-fullhd { - margin-left: 91.66667%; } - .column.is-12-fullhd { - flex: none; - width: 100%; } - .column.is-offset-12-fullhd { - margin-left: 100%; } } - -.columns { - margin-left: -0.75rem; - margin-right: -0.75rem; - margin-top: -0.75rem; } - .columns:last-child { - margin-bottom: -0.75rem; } - .columns:not(:last-child) { - margin-bottom: calc(1.5rem - 0.75rem); } - .columns.is-centered { - justify-content: center; } - .columns.is-gapless { - margin-left: 0; - margin-right: 0; - margin-top: 0; } - .columns.is-gapless > .column { - margin: 0; - padding: 0 !important; } - .columns.is-gapless:not(:last-child) { - margin-bottom: 1.5rem; } - .columns.is-gapless:last-child { - margin-bottom: 0; } - .columns.is-mobile { - display: flex; } - .columns.is-multiline { - flex-wrap: wrap; } - .columns.is-vcentered { - align-items: center; } - @media screen and (min-width: 769px), print { - .columns:not(.is-desktop) { - display: flex; } } - @media screen and (min-width: 1056px) { - .columns.is-desktop { - display: flex; } } - -.columns.is-variable { - --columnGap: 0.75rem; - margin-left: calc(-1 * var(--columnGap)); - margin-right: calc(-1 * var(--columnGap)); } - .columns.is-variable .column { - padding-left: var(--columnGap); - padding-right: var(--columnGap); } - .columns.is-variable.is-0 { - --columnGap: 0rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-0-mobile { - --columnGap: 0rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-0-tablet { - --columnGap: 0rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-0-tablet-only { - --columnGap: 0rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-0-touch { - --columnGap: 0rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-0-desktop { - --columnGap: 0rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-0-desktop-only { - --columnGap: 0rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-0-widescreen { - --columnGap: 0rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-0-widescreen-only { - --columnGap: 0rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-0-fullhd { - --columnGap: 0rem; } } - .columns.is-variable.is-1 { - --columnGap: 0.25rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-1-mobile { - --columnGap: 0.25rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-1-tablet { - --columnGap: 0.25rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-1-tablet-only { - --columnGap: 0.25rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-1-touch { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-1-desktop { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-1-desktop-only { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-1-widescreen { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-1-widescreen-only { - --columnGap: 0.25rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-1-fullhd { - --columnGap: 0.25rem; } } - .columns.is-variable.is-2 { - --columnGap: 0.5rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-2-mobile { - --columnGap: 0.5rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-2-tablet { - --columnGap: 0.5rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-2-tablet-only { - --columnGap: 0.5rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-2-touch { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-2-desktop { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-2-desktop-only { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-2-widescreen { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-2-widescreen-only { - --columnGap: 0.5rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-2-fullhd { - --columnGap: 0.5rem; } } - .columns.is-variable.is-3 { - --columnGap: 0.75rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-3-mobile { - --columnGap: 0.75rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-3-tablet { - --columnGap: 0.75rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-3-tablet-only { - --columnGap: 0.75rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-3-touch { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-3-desktop { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-3-desktop-only { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-3-widescreen { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-3-widescreen-only { - --columnGap: 0.75rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-3-fullhd { - --columnGap: 0.75rem; } } - .columns.is-variable.is-4 { - --columnGap: 1rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-4-mobile { - --columnGap: 1rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-4-tablet { - --columnGap: 1rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-4-tablet-only { - --columnGap: 1rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-4-touch { - --columnGap: 1rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-4-desktop { - --columnGap: 1rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-4-desktop-only { - --columnGap: 1rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-4-widescreen { - --columnGap: 1rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-4-widescreen-only { - --columnGap: 1rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-4-fullhd { - --columnGap: 1rem; } } - .columns.is-variable.is-5 { - --columnGap: 1.25rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-5-mobile { - --columnGap: 1.25rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-5-tablet { - --columnGap: 1.25rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-5-tablet-only { - --columnGap: 1.25rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-5-touch { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-5-desktop { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-5-desktop-only { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-5-widescreen { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-5-widescreen-only { - --columnGap: 1.25rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-5-fullhd { - --columnGap: 1.25rem; } } - .columns.is-variable.is-6 { - --columnGap: 1.5rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-6-mobile { - --columnGap: 1.5rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-6-tablet { - --columnGap: 1.5rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-6-tablet-only { - --columnGap: 1.5rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-6-touch { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-6-desktop { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-6-desktop-only { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-6-widescreen { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-6-widescreen-only { - --columnGap: 1.5rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-6-fullhd { - --columnGap: 1.5rem; } } - .columns.is-variable.is-7 { - --columnGap: 1.75rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-7-mobile { - --columnGap: 1.75rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-7-tablet { - --columnGap: 1.75rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-7-tablet-only { - --columnGap: 1.75rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-7-touch { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-7-desktop { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-7-desktop-only { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-7-widescreen { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-7-widescreen-only { - --columnGap: 1.75rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-7-fullhd { - --columnGap: 1.75rem; } } - .columns.is-variable.is-8 { - --columnGap: 2rem; } - @media screen and (max-width: 768px) { - .columns.is-variable.is-8-mobile { - --columnGap: 2rem; } } - @media screen and (min-width: 769px), print { - .columns.is-variable.is-8-tablet { - --columnGap: 2rem; } } - @media screen and (min-width: 769px) and (max-width: 1055px) { - .columns.is-variable.is-8-tablet-only { - --columnGap: 2rem; } } - @media screen and (max-width: 1055px) { - .columns.is-variable.is-8-touch { - --columnGap: 2rem; } } - @media screen and (min-width: 1056px) { - .columns.is-variable.is-8-desktop { - --columnGap: 2rem; } } - @media screen and (min-width: 1056px) and (max-width: 1215px) { - .columns.is-variable.is-8-desktop-only { - --columnGap: 2rem; } } - @media screen and (min-width: 1216px) { - .columns.is-variable.is-8-widescreen { - --columnGap: 2rem; } } - @media screen and (min-width: 1216px) and (max-width: 1407px) { - .columns.is-variable.is-8-widescreen-only { - --columnGap: 2rem; } } - @media screen and (min-width: 1408px) { - .columns.is-variable.is-8-fullhd { - --columnGap: 2rem; } } - -.tile { - align-items: stretch; - display: block; - flex-basis: 0; - flex-grow: 1; - flex-shrink: 1; - min-height: min-content; } - .tile.is-ancestor { - margin-left: -0.75rem; - margin-right: -0.75rem; - margin-top: -0.75rem; } - .tile.is-ancestor:last-child { - margin-bottom: -0.75rem; } - .tile.is-ancestor:not(:last-child) { - margin-bottom: 0.75rem; } - .tile.is-child { - margin: 0 !important; } - .tile.is-parent { - padding: 0.75rem; } - .tile.is-vertical { - flex-direction: column; } - .tile.is-vertical > .tile.is-child:not(:last-child) { - margin-bottom: 1.5rem !important; } - @media screen and (min-width: 769px), print { - .tile:not(.is-child) { - display: flex; } - .tile.is-1 { - flex: none; - width: 8.33333%; } - .tile.is-2 { - flex: none; - width: 16.66667%; } - .tile.is-3 { - flex: none; - width: 25%; } - .tile.is-4 { - flex: none; - width: 33.33333%; } - .tile.is-5 { - flex: none; - width: 41.66667%; } - .tile.is-6 { - flex: none; - width: 50%; } - .tile.is-7 { - flex: none; - width: 58.33333%; } - .tile.is-8 { - flex: none; - width: 66.66667%; } - .tile.is-9 { - flex: none; - width: 75%; } - .tile.is-10 { - flex: none; - width: 83.33333%; } - .tile.is-11 { - flex: none; - width: 91.66667%; } - .tile.is-12 { - flex: none; - width: 100%; } } - -.hero { - align-items: stretch; - display: flex; - flex-direction: column; - justify-content: space-between; } - .hero .navbar { - background: none; } - .hero .tabs ul { - border-bottom: none; } - .hero.is-white { - background-color: white; - color: #0a0a0a; } - .hero.is-white a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-white strong { - color: inherit; } - .hero.is-white .title { - color: #0a0a0a; } - .hero.is-white .subtitle { - color: rgba(10, 10, 10, 0.9); } - .hero.is-white .subtitle a:not(.button), - .hero.is-white .subtitle strong { - color: #0a0a0a; } - @media screen and (max-width: 1055px) { - .hero.is-white .navbar-menu { - background-color: white; } } - .hero.is-white .navbar-item, - .hero.is-white .navbar-link { - color: rgba(10, 10, 10, 0.7); } - .hero.is-white a.navbar-item:hover, .hero.is-white a.navbar-item.is-active, - .hero.is-white .navbar-link:hover, - .hero.is-white .navbar-link.is-active { - background-color: #f2f2f2; - color: #0a0a0a; } - .hero.is-white .tabs a { - color: #0a0a0a; - opacity: 0.9; } - .hero.is-white .tabs a:hover { - opacity: 1; } - .hero.is-white .tabs li.is-active a { - opacity: 1; } - .hero.is-white .tabs.is-boxed a, .hero.is-white .tabs.is-toggle a { - color: #0a0a0a; } - .hero.is-white .tabs.is-boxed a:hover, .hero.is-white .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-white .tabs.is-boxed li.is-active a, .hero.is-white .tabs.is-boxed li.is-active a:hover, .hero.is-white .tabs.is-toggle li.is-active a, .hero.is-white .tabs.is-toggle li.is-active a:hover { - background-color: #0a0a0a; - border-color: #0a0a0a; - color: white; } - .hero.is-white.is-bold { - background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } - @media screen and (max-width: 768px) { - .hero.is-white.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #e6e6e6 0%, white 71%, white 100%); } } - .hero.is-black { - background-color: #0a0a0a; - color: white; } - .hero.is-black a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-black strong { - color: inherit; } - .hero.is-black .title { - color: white; } - .hero.is-black .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-black .subtitle a:not(.button), - .hero.is-black .subtitle strong { - color: white; } - @media screen and (max-width: 1055px) { - .hero.is-black .navbar-menu { - background-color: #0a0a0a; } } - .hero.is-black .navbar-item, - .hero.is-black .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-black a.navbar-item:hover, .hero.is-black a.navbar-item.is-active, - .hero.is-black .navbar-link:hover, - .hero.is-black .navbar-link.is-active { - background-color: black; - color: white; } - .hero.is-black .tabs a { - color: white; - opacity: 0.9; } - .hero.is-black .tabs a:hover { - opacity: 1; } - .hero.is-black .tabs li.is-active a { - opacity: 1; } - .hero.is-black .tabs.is-boxed a, .hero.is-black .tabs.is-toggle a { - color: white; } - .hero.is-black .tabs.is-boxed a:hover, .hero.is-black .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-black .tabs.is-boxed li.is-active a, .hero.is-black .tabs.is-boxed li.is-active a:hover, .hero.is-black .tabs.is-toggle li.is-active a, .hero.is-black .tabs.is-toggle li.is-active a:hover { - background-color: white; - border-color: white; - color: #0a0a0a; } - .hero.is-black.is-bold { - background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } - @media screen and (max-width: 768px) { - .hero.is-black.is-bold .navbar-menu { - background-image: linear-gradient(141deg, black 0%, #0a0a0a 71%, #181616 100%); } } - .hero.is-light { - background-color: whitesmoke; - color: #363636; } - .hero.is-light a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-light strong { - color: inherit; } - .hero.is-light .title { - color: #363636; } - .hero.is-light .subtitle { - color: rgba(54, 54, 54, 0.9); } - .hero.is-light .subtitle a:not(.button), - .hero.is-light .subtitle strong { - color: #363636; } - @media screen and (max-width: 1055px) { - .hero.is-light .navbar-menu { - background-color: whitesmoke; } } - .hero.is-light .navbar-item, - .hero.is-light .navbar-link { - color: rgba(54, 54, 54, 0.7); } - .hero.is-light a.navbar-item:hover, .hero.is-light a.navbar-item.is-active, - .hero.is-light .navbar-link:hover, - .hero.is-light .navbar-link.is-active { - background-color: #e8e8e8; - color: #363636; } - .hero.is-light .tabs a { - color: #363636; - opacity: 0.9; } - .hero.is-light .tabs a:hover { - opacity: 1; } - .hero.is-light .tabs li.is-active a { - opacity: 1; } - .hero.is-light .tabs.is-boxed a, .hero.is-light .tabs.is-toggle a { - color: #363636; } - .hero.is-light .tabs.is-boxed a:hover, .hero.is-light .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-light .tabs.is-boxed li.is-active a, .hero.is-light .tabs.is-boxed li.is-active a:hover, .hero.is-light .tabs.is-toggle li.is-active a, .hero.is-light .tabs.is-toggle li.is-active a:hover { - background-color: #363636; - border-color: #363636; - color: whitesmoke; } - .hero.is-light.is-bold { - background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } - @media screen and (max-width: 768px) { - .hero.is-light.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #dfd8d9 0%, whitesmoke 71%, white 100%); } } - .hero.is-dark, .content kbd.hero { - background-color: #363636; - color: whitesmoke; } - .hero.is-dark a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .content kbd.hero a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-dark strong, - .content kbd.hero strong { - color: inherit; } - .hero.is-dark .title, .content kbd.hero .title { - color: whitesmoke; } - .hero.is-dark .subtitle, .content kbd.hero .subtitle { - color: rgba(245, 245, 245, 0.9); } - .hero.is-dark .subtitle a:not(.button), .content kbd.hero .subtitle a:not(.button), - .hero.is-dark .subtitle strong, - .content kbd.hero .subtitle strong { - color: whitesmoke; } - @media screen and (max-width: 1055px) { - .hero.is-dark .navbar-menu, .content kbd.hero .navbar-menu { - background-color: #363636; } } - .hero.is-dark .navbar-item, .content kbd.hero .navbar-item, - .hero.is-dark .navbar-link, - .content kbd.hero .navbar-link { - color: rgba(245, 245, 245, 0.7); } - .hero.is-dark a.navbar-item:hover, .content kbd.hero a.navbar-item:hover, .hero.is-dark a.navbar-item.is-active, .content kbd.hero a.navbar-item.is-active, - .hero.is-dark .navbar-link:hover, - .content kbd.hero .navbar-link:hover, - .hero.is-dark .navbar-link.is-active, - .content kbd.hero .navbar-link.is-active { - background-color: #292929; - color: whitesmoke; } - .hero.is-dark .tabs a, .content kbd.hero .tabs a { - color: whitesmoke; - opacity: 0.9; } - .hero.is-dark .tabs a:hover, .content kbd.hero .tabs a:hover { - opacity: 1; } - .hero.is-dark .tabs li.is-active a, .content kbd.hero .tabs li.is-active a { - opacity: 1; } - .hero.is-dark .tabs.is-boxed a, .content kbd.hero .tabs.is-boxed a, .hero.is-dark .tabs.is-toggle a, .content kbd.hero .tabs.is-toggle a { - color: whitesmoke; } - .hero.is-dark .tabs.is-boxed a:hover, .content kbd.hero .tabs.is-boxed a:hover, .hero.is-dark .tabs.is-toggle a:hover, .content kbd.hero .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-dark .tabs.is-boxed li.is-active a, .content kbd.hero .tabs.is-boxed li.is-active a, .hero.is-dark .tabs.is-boxed li.is-active a:hover, .content kbd.hero .tabs.is-boxed li.is-active a:hover, .hero.is-dark .tabs.is-toggle li.is-active a, .content kbd.hero .tabs.is-toggle li.is-active a, .hero.is-dark .tabs.is-toggle li.is-active a:hover, .content kbd.hero .tabs.is-toggle li.is-active a:hover { - background-color: whitesmoke; - border-color: whitesmoke; - color: #363636; } - .hero.is-dark.is-bold, .content kbd.hero.is-bold { - background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } - @media screen and (max-width: 768px) { - .hero.is-dark.is-bold .navbar-menu, .content kbd.hero.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #1f191a 0%, #363636 71%, #46403f 100%); } } - .hero.is-primary, .docstring > section > a.hero.docs-sourcelink { - background-color: #4eb5de; - color: #fff; } - .hero.is-primary a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), .docstring > section > a.hero.docs-sourcelink a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-primary strong, - .docstring > section > a.hero.docs-sourcelink strong { - color: inherit; } - .hero.is-primary .title, .docstring > section > a.hero.docs-sourcelink .title { - color: #fff; } - .hero.is-primary .subtitle, .docstring > section > a.hero.docs-sourcelink .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-primary .subtitle a:not(.button), .docstring > section > a.hero.docs-sourcelink .subtitle a:not(.button), - .hero.is-primary .subtitle strong, - .docstring > section > a.hero.docs-sourcelink .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-primary .navbar-menu, .docstring > section > a.hero.docs-sourcelink .navbar-menu { - background-color: #4eb5de; } } - .hero.is-primary .navbar-item, .docstring > section > a.hero.docs-sourcelink .navbar-item, - .hero.is-primary .navbar-link, - .docstring > section > a.hero.docs-sourcelink .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-primary a.navbar-item:hover, .docstring > section > a.hero.docs-sourcelink a.navbar-item:hover, .hero.is-primary a.navbar-item.is-active, .docstring > section > a.hero.docs-sourcelink a.navbar-item.is-active, - .hero.is-primary .navbar-link:hover, - .docstring > section > a.hero.docs-sourcelink .navbar-link:hover, - .hero.is-primary .navbar-link.is-active, - .docstring > section > a.hero.docs-sourcelink .navbar-link.is-active { - background-color: #39acda; - color: #fff; } - .hero.is-primary .tabs a, .docstring > section > a.hero.docs-sourcelink .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-primary .tabs a:hover, .docstring > section > a.hero.docs-sourcelink .tabs a:hover { - opacity: 1; } - .hero.is-primary .tabs li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs li.is-active a { - opacity: 1; } - .hero.is-primary .tabs.is-boxed a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a, .hero.is-primary .tabs.is-toggle a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a { - color: #fff; } - .hero.is-primary .tabs.is-boxed a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed a:hover, .hero.is-primary .tabs.is-toggle a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-primary .tabs.is-boxed li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a, .hero.is-primary .tabs.is-boxed li.is-active a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-boxed li.is-active a:hover, .hero.is-primary .tabs.is-toggle li.is-active a, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a, .hero.is-primary .tabs.is-toggle li.is-active a:hover, .docstring > section > a.hero.docs-sourcelink .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #4eb5de; } - .hero.is-primary.is-bold, .docstring > section > a.hero.is-bold.docs-sourcelink { - background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } - @media screen and (max-width: 768px) { - .hero.is-primary.is-bold .navbar-menu, .docstring > section > a.hero.is-bold.docs-sourcelink .navbar-menu { - background-image: linear-gradient(141deg, #1bc7de 0%, #4eb5de 71%, #5fa9e7 100%); } } - .hero.is-link { - background-color: #2e63b8; - color: #fff; } - .hero.is-link a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-link strong { - color: inherit; } - .hero.is-link .title { - color: #fff; } - .hero.is-link .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-link .subtitle a:not(.button), - .hero.is-link .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-link .navbar-menu { - background-color: #2e63b8; } } - .hero.is-link .navbar-item, - .hero.is-link .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-link a.navbar-item:hover, .hero.is-link a.navbar-item.is-active, - .hero.is-link .navbar-link:hover, - .hero.is-link .navbar-link.is-active { - background-color: #2958a4; - color: #fff; } - .hero.is-link .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-link .tabs a:hover { - opacity: 1; } - .hero.is-link .tabs li.is-active a { - opacity: 1; } - .hero.is-link .tabs.is-boxed a, .hero.is-link .tabs.is-toggle a { - color: #fff; } - .hero.is-link .tabs.is-boxed a:hover, .hero.is-link .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-link .tabs.is-boxed li.is-active a, .hero.is-link .tabs.is-boxed li.is-active a:hover, .hero.is-link .tabs.is-toggle li.is-active a, .hero.is-link .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #2e63b8; } - .hero.is-link.is-bold { - background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } - @media screen and (max-width: 768px) { - .hero.is-link.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #1b6098 0%, #2e63b8 71%, #2d51d2 100%); } } - .hero.is-info { - background-color: #209cee; - color: #fff; } - .hero.is-info a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-info strong { - color: inherit; } - .hero.is-info .title { - color: #fff; } - .hero.is-info .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-info .subtitle a:not(.button), - .hero.is-info .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-info .navbar-menu { - background-color: #209cee; } } - .hero.is-info .navbar-item, - .hero.is-info .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-info a.navbar-item:hover, .hero.is-info a.navbar-item.is-active, - .hero.is-info .navbar-link:hover, - .hero.is-info .navbar-link.is-active { - background-color: #1190e3; - color: #fff; } - .hero.is-info .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-info .tabs a:hover { - opacity: 1; } - .hero.is-info .tabs li.is-active a { - opacity: 1; } - .hero.is-info .tabs.is-boxed a, .hero.is-info .tabs.is-toggle a { - color: #fff; } - .hero.is-info .tabs.is-boxed a:hover, .hero.is-info .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-info .tabs.is-boxed li.is-active a, .hero.is-info .tabs.is-boxed li.is-active a:hover, .hero.is-info .tabs.is-toggle li.is-active a, .hero.is-info .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #209cee; } - .hero.is-info.is-bold { - background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } - @media screen and (max-width: 768px) { - .hero.is-info.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #05a6d6 0%, #209cee 71%, #3287f5 100%); } } - .hero.is-success { - background-color: #22c35b; - color: #fff; } - .hero.is-success a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-success strong { - color: inherit; } - .hero.is-success .title { - color: #fff; } - .hero.is-success .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-success .subtitle a:not(.button), - .hero.is-success .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-success .navbar-menu { - background-color: #22c35b; } } - .hero.is-success .navbar-item, - .hero.is-success .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-success a.navbar-item:hover, .hero.is-success a.navbar-item.is-active, - .hero.is-success .navbar-link:hover, - .hero.is-success .navbar-link.is-active { - background-color: #1ead51; - color: #fff; } - .hero.is-success .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-success .tabs a:hover { - opacity: 1; } - .hero.is-success .tabs li.is-active a { - opacity: 1; } - .hero.is-success .tabs.is-boxed a, .hero.is-success .tabs.is-toggle a { - color: #fff; } - .hero.is-success .tabs.is-boxed a:hover, .hero.is-success .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-success .tabs.is-boxed li.is-active a, .hero.is-success .tabs.is-boxed li.is-active a:hover, .hero.is-success .tabs.is-toggle li.is-active a, .hero.is-success .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #22c35b; } - .hero.is-success.is-bold { - background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } - @media screen and (max-width: 768px) { - .hero.is-success.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #12a02c 0%, #22c35b 71%, #1fdf83 100%); } } - .hero.is-warning { - background-color: #ffdd57; - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-warning strong { - color: inherit; } - .hero.is-warning .title { - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning .subtitle { - color: rgba(0, 0, 0, 0.9); } - .hero.is-warning .subtitle a:not(.button), - .hero.is-warning .subtitle strong { - color: rgba(0, 0, 0, 0.7); } - @media screen and (max-width: 1055px) { - .hero.is-warning .navbar-menu { - background-color: #ffdd57; } } - .hero.is-warning .navbar-item, - .hero.is-warning .navbar-link { - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning a.navbar-item:hover, .hero.is-warning a.navbar-item.is-active, - .hero.is-warning .navbar-link:hover, - .hero.is-warning .navbar-link.is-active { - background-color: #ffd83e; - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning .tabs a { - color: rgba(0, 0, 0, 0.7); - opacity: 0.9; } - .hero.is-warning .tabs a:hover { - opacity: 1; } - .hero.is-warning .tabs li.is-active a { - opacity: 1; } - .hero.is-warning .tabs.is-boxed a, .hero.is-warning .tabs.is-toggle a { - color: rgba(0, 0, 0, 0.7); } - .hero.is-warning .tabs.is-boxed a:hover, .hero.is-warning .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-warning .tabs.is-boxed li.is-active a, .hero.is-warning .tabs.is-boxed li.is-active a:hover, .hero.is-warning .tabs.is-toggle li.is-active a, .hero.is-warning .tabs.is-toggle li.is-active a:hover { - background-color: rgba(0, 0, 0, 0.7); - border-color: rgba(0, 0, 0, 0.7); - color: #ffdd57; } - .hero.is-warning.is-bold { - background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } - @media screen and (max-width: 768px) { - .hero.is-warning.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #ffae24 0%, #ffdd57 71%, #fffa71 100%); } } - .hero.is-danger { - background-color: #da0b00; - color: #fff; } - .hero.is-danger a:not(.button):not(.dropdown-item):not(.tag):not(.pagination-link.is-current), - .hero.is-danger strong { - color: inherit; } - .hero.is-danger .title { - color: #fff; } - .hero.is-danger .subtitle { - color: rgba(255, 255, 255, 0.9); } - .hero.is-danger .subtitle a:not(.button), - .hero.is-danger .subtitle strong { - color: #fff; } - @media screen and (max-width: 1055px) { - .hero.is-danger .navbar-menu { - background-color: #da0b00; } } - .hero.is-danger .navbar-item, - .hero.is-danger .navbar-link { - color: rgba(255, 255, 255, 0.7); } - .hero.is-danger a.navbar-item:hover, .hero.is-danger a.navbar-item.is-active, - .hero.is-danger .navbar-link:hover, - .hero.is-danger .navbar-link.is-active { - background-color: #c10a00; - color: #fff; } - .hero.is-danger .tabs a { - color: #fff; - opacity: 0.9; } - .hero.is-danger .tabs a:hover { - opacity: 1; } - .hero.is-danger .tabs li.is-active a { - opacity: 1; } - .hero.is-danger .tabs.is-boxed a, .hero.is-danger .tabs.is-toggle a { - color: #fff; } - .hero.is-danger .tabs.is-boxed a:hover, .hero.is-danger .tabs.is-toggle a:hover { - background-color: rgba(10, 10, 10, 0.1); } - .hero.is-danger .tabs.is-boxed li.is-active a, .hero.is-danger .tabs.is-boxed li.is-active a:hover, .hero.is-danger .tabs.is-toggle li.is-active a, .hero.is-danger .tabs.is-toggle li.is-active a:hover { - background-color: #fff; - border-color: #fff; - color: #da0b00; } - .hero.is-danger.is-bold { - background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } - @media screen and (max-width: 768px) { - .hero.is-danger.is-bold .navbar-menu { - background-image: linear-gradient(141deg, #a70013 0%, #da0b00 71%, #f43500 100%); } } - .hero.is-small .hero-body, #documenter .docs-sidebar form.docs-search > input.hero .hero-body { - padding-bottom: 1.5rem; - padding-top: 1.5rem; } - @media screen and (min-width: 769px), print { - .hero.is-medium .hero-body { - padding-bottom: 9rem; - padding-top: 9rem; } } - @media screen and (min-width: 769px), print { - .hero.is-large .hero-body { - padding-bottom: 18rem; - padding-top: 18rem; } } - .hero.is-halfheight .hero-body, .hero.is-fullheight .hero-body, .hero.is-fullheight-with-navbar .hero-body { - align-items: center; - display: flex; } - .hero.is-halfheight .hero-body > .container, .hero.is-fullheight .hero-body > .container, .hero.is-fullheight-with-navbar .hero-body > .container { - flex-grow: 1; - flex-shrink: 1; } - .hero.is-halfheight { - min-height: 50vh; } - .hero.is-fullheight { - min-height: 100vh; } - -.hero-video { - overflow: hidden; } - .hero-video video { - left: 50%; - min-height: 100%; - min-width: 100%; - position: absolute; - top: 50%; - transform: translate3d(-50%, -50%, 0); } - .hero-video.is-transparent { - opacity: 0.3; } - @media screen and (max-width: 768px) { - .hero-video { - display: none; } } - -.hero-buttons { - margin-top: 1.5rem; } - @media screen and (max-width: 768px) { - .hero-buttons .button { - display: flex; } - .hero-buttons .button:not(:last-child) { - margin-bottom: 0.75rem; } } - @media screen and (min-width: 769px), print { - .hero-buttons { - display: flex; - justify-content: center; } - .hero-buttons .button:not(:last-child) { - margin-right: 1.5rem; } } - -.hero-head, -.hero-foot { - flex-grow: 0; - flex-shrink: 0; } - -.hero-body { - flex-grow: 1; - flex-shrink: 0; - padding: 3rem 1.5rem; } - -.section { - padding: 3rem 1.5rem; } - @media screen and (min-width: 1056px) { - .section.is-medium { - padding: 9rem 1.5rem; } - .section.is-large { - padding: 18rem 1.5rem; } } - -.footer { - background-color: #fafafa; - padding: 3rem 1.5rem 6rem; } - -h1 .docs-heading-anchor, h1 .docs-heading-anchor:hover, h1 .docs-heading-anchor:visited, h2 .docs-heading-anchor, h2 .docs-heading-anchor:hover, h2 .docs-heading-anchor:visited, h3 .docs-heading-anchor, h3 .docs-heading-anchor:hover, h3 .docs-heading-anchor:visited, h4 .docs-heading-anchor, h4 .docs-heading-anchor:hover, h4 .docs-heading-anchor:visited, h5 .docs-heading-anchor, h5 .docs-heading-anchor:hover, h5 .docs-heading-anchor:visited, h6 .docs-heading-anchor, h6 .docs-heading-anchor:hover, h6 .docs-heading-anchor:visited { - color: #222222; } - -h1 .docs-heading-anchor-permalink, h2 .docs-heading-anchor-permalink, h3 .docs-heading-anchor-permalink, h4 .docs-heading-anchor-permalink, h5 .docs-heading-anchor-permalink, h6 .docs-heading-anchor-permalink { - visibility: hidden; - vertical-align: middle; - margin-left: 0.5em; - font-size: 0.7rem; } - h1 .docs-heading-anchor-permalink::before, h2 .docs-heading-anchor-permalink::before, h3 .docs-heading-anchor-permalink::before, h4 .docs-heading-anchor-permalink::before, h5 .docs-heading-anchor-permalink::before, h6 .docs-heading-anchor-permalink::before { - font-family: "Font Awesome 5 Free"; - font-weight: 900; - content: "\f0c1"; } - -h1:hover .docs-heading-anchor-permalink, h2:hover .docs-heading-anchor-permalink, h3:hover .docs-heading-anchor-permalink, h4:hover .docs-heading-anchor-permalink, h5:hover .docs-heading-anchor-permalink, h6:hover .docs-heading-anchor-permalink { - visibility: visible; } - -.docs-dark-only { - display: none !important; } - -.admonition { - background-color: #b5b5b5; - border-style: solid; - border-width: 1px; - border-color: #363636; - border-radius: 4px; - font-size: 1rem; } - .admonition strong { - color: currentColor; } - .admonition.is-small, #documenter .docs-sidebar form.docs-search > input.admonition { - font-size: 0.75rem; } - .admonition.is-medium { - font-size: 1.25rem; } - .admonition.is-large { - font-size: 1.5rem; } - .admonition.is-default { - background-color: #b5b5b5; - border-color: #363636; } - .admonition.is-default > .admonition-header { - background-color: #363636; - color: #fff; } - .admonition.is-default > .admonition-body { - color: #fff; } - .admonition.is-info { - background-color: #def0fc; - border-color: #209cee; } - .admonition.is-info > .admonition-header { - background-color: #209cee; - color: #fff; } - .admonition.is-info > .admonition-body { - color: rgba(0, 0, 0, 0.7); } - .admonition.is-success { - background-color: #bdf4d1; - border-color: #22c35b; } - .admonition.is-success > .admonition-header { - background-color: #22c35b; 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Theme: Default Description: Original highlight.js style Author: (c) Ivan Sagalaev @@ -7722,96 +6,4 @@ code.language-julia-repl > span.hljs-meta { Website: https://highlightjs.org/ License: see project LICENSE Touched: 2021 -*/ -/* -This is left on purpose making default.css the single file that can be lifted -as-is from the repository directly without the need for a build step - -Typically this "required" baseline CSS is added by `makestuff.js` during build. -*/ -pre code.hljs { - display: block; - overflow-x: auto; - padding: 1em; } - -code.hljs { - padding: 3px 5px; } - -/* end baseline CSS */ -.hljs { - background: #F0F0F0; - color: #444; } - -/* Base color: saturation 0; */ -.hljs-subst { - /* default */ } - -/* purposely ignored */ -.hljs-comment { - color: #888888; } - -.hljs-tag, -.hljs-punctuation { - color: #444a; } - -.hljs-tag .hljs-name, -.hljs-tag .hljs-attr { - color: #444; } - -.hljs-keyword, -.hljs-attribute, -.hljs-selector-tag, -.hljs-meta .hljs-keyword, -.hljs-doctag, -.hljs-name { - font-weight: bold; } - -/* User color: hue: 0 */ -.hljs-type, -.hljs-string, -.hljs-number, -.hljs-selector-id, -.hljs-selector-class, -.hljs-quote, -.hljs-template-tag, -.hljs-deletion { - color: #880000; } - -.hljs-title, -.hljs-section { - color: #880000; - font-weight: bold; } - -.hljs-regexp, -.hljs-symbol, -.hljs-variable, -.hljs-template-variable, -.hljs-link, -.hljs-selector-attr, -.hljs-operator, -.hljs-selector-pseudo { - color: #BC6060; } - -/* Language color: hue: 90; */ -.hljs-literal { - color: #78A960; } - -.hljs-built_in, -.hljs-bullet, -.hljs-code, -.hljs-addition { - color: #397300; } - -/* Meta color: hue: 200 */ -.hljs-meta { - color: #1f7199; } - -.hljs-meta .hljs-string { - color: #4d99bf; } - -/* Misc effects */ -.hljs-emphasis { - font-style: italic; } - -.hljs-strong { - font-weight: bold; } +*/pre code.hljs{display:block;overflow-x:auto;padding:1em}code.hljs{padding:3px 5px}.hljs{background:#F3F3F3;color:#444}.hljs-comment{color:#697070}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/dev/assets/themeswap.js b/dev/assets/themeswap.js index c58e993..9f5eebe 100644 --- a/dev/assets/themeswap.js +++ b/dev/assets/themeswap.js @@ -1,20 +1,17 @@ // Small function to quickly swap out themes. Gets put into the tag.. function set_theme_from_local_storage() { - // Intialize the theme to null, which means default + // Initialize the theme to null, which means default var theme = null; // If the browser supports the localstorage and is not disabled then try to get the // documenter theme - if(window.localStorage != null) { + if (window.localStorage != null) { // Get the user-picked theme from localStorage. May be `null`, which means the default // theme. - theme = window.localStorage.getItem("documenter-theme"); + theme = window.localStorage.getItem("documenter-theme"); } - // Check if the browser supports user color preference - var darkPreference = false; // Check if the users preference is for dark color scheme - if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) { - darkPreference = true; - } + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; // Initialize a few variables for the loop: // // - active: will contain the index of the theme that should be active. Note that there @@ -24,43 +21,64 @@ function set_theme_from_local_storage() { // // - disabled: style sheets that should be disabled (i.e. all the theme style sheets // that are not the currently active theme) - var active = null; var disabled = []; var darkTheme = null; + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; for (var i = 0; i < document.styleSheets.length; i++) { var ss = document.styleSheets[i]; // The tag of each style sheet is expected to have a data-theme-name attribute // which must contain the name of the theme. The names in localStorage much match this. var themename = ss.ownerNode.getAttribute("data-theme-name"); // attribute not set => non-theme stylesheet => ignore - if(themename === null) continue; + if (themename === null) continue; // To distinguish the default (primary) theme, it needs to have the data-theme-primary // attribute set. - var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null); - // Check if the theme is primary dark theme - var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null); - // If ss is for dark theme then set the value of darkTheme to the name of the theme - if(isDarkTheme) darkTheme = themename; + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } // If we find a matching theme (and it's not the default), we'll set active to non-null - if(themename === theme) active = i; + if (themename === theme) active = i; // Store the style sheets of inactive themes so that we could disable them - if(themename !== theme) disabled.push(ss); + if (themename !== theme) disabled.push(ss); } - if(active !== null) { + var activeTheme = null; + if (active !== null) { // If we did find an active theme, we'll (1) add the theme--$(theme) class to - document.getElementsByTagName('html')[0].className = "theme--" + theme; - // and (2) disable all the other theme stylesheets - disabled.forEach(function(ss){ - ss.disabled = true; - }); + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } } - else if(darkTheme !== null && darkPreference === true) { - // If we did find an active theme, we'll (1) add the theme--$(theme) class to - document.getElementsByTagName('html')[0].className = "theme--" + darkTheme; - // and (2) disable all the other theme stylesheets - disabled.forEach(function(ss){ - if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) { - ss.disabled = true; - } - }); + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); } } set_theme_from_local_storage(); diff --git a/dev/assets/warner.js b/dev/assets/warner.js index e818482..3f6f5d0 100644 --- a/dev/assets/warner.js +++ b/dev/assets/warner.js @@ -1,49 +1,52 @@ -function maybeAddWarning () { - // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE - // in siteinfo.js. - // If either of these are undefined something went horribly wrong, so we abort. - if ( - window.DOCUMENTER_NEWEST === undefined || - window.DOCUMENTER_CURRENT_VERSION === undefined || - window.DOCUMENTER_STABLE === undefined - ) { - return - }; +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } - // Current version is not a version number, so we can't tell if it's the newest version. Abort. - if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { - return - }; + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } - // Current version is newest version, so no need to add a warning. - if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { - return - }; + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } - // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. - if (document.body.querySelector('meta[name="robots"]') === null) { - const meta = document.createElement('meta'); - meta.name = 'robots'; - meta.content = 'noindex'; + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; - document.getElementsByTagName('head')[0].appendChild(meta); - }; + document.getElementsByTagName("head")[0].appendChild(meta); + } - const div = document.createElement('div'); - div.classList.add('outdated-warning-overlay'); - const closer = document.createElement('button'); - closer.classList.add('outdated-warning-closer', 'delete'); - closer.addEventListener('click', function () { - document.body.removeChild(div); - }); - const href = window.documenterBaseURL + '/../' + window.DOCUMENTER_STABLE; - div.innerHTML = 'This documentation is not for the latest version.
                          Go to the latest documentation.'; - div.appendChild(closer); - document.body.appendChild(div); -}; + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
                          Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} -if (document.readyState === 'loading') { - document.addEventListener('DOMContentLoaded', maybeAddWarning); +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); } else { - maybeAddWarning(); -}; + maybeAddWarning(); +} diff --git a/dev/index.html b/dev/index.html index 5751aba..73b551b 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                          Edit on GitHub

                          Getting started

                          A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                          Installation

                          In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                          Index

                          +Getting started · Combinatorics.jl
                          GitHub

                          Getting started

                          A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                          Installation

                          In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                          Index

                          diff --git a/dev/search/index.html b/dev/search/index.html deleted file mode 100644 index d475f7d..0000000 --- a/dev/search/index.html +++ /dev/null @@ -1,2 +0,0 @@ - -Search · Combinatorics.jl

                          Loading search...

                            diff --git a/dev/search_index.js b/dev/search_index.js index ed8582f..1d5c053 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"multinomials.jl\"]","category":"page"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"numbers.jl\"]","category":"page"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"partitions.jl\"]","category":"page"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector{T} where T, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector{T} where T}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{var\"#s11\"} where var\"#s11\"<:Integer}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(m, f, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector{T} where T, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{T} where T, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{var\"#s1\"} where var\"#s1\"<:Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{var\"#s38\"} where var\"#s38\"<:Integer}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: Build Status) (Image: Coverage Status) (Image: Codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"multinomials.jl\"]","category":"page"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"numbers.jl\"]","category":"page"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"partitions.jl\"]","category":"page"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(m, f, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: Build Status) (Image: Coverage Status) (Image: Codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From cc3f320df83e97000e59edc96a36612ee841aa1f Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 2 Feb 2024 06:02:39 +0000 Subject: [PATCH 08/39] build based on 2ca215c --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- dev/search_index.js | 2 +- 5 files changed, 9 insertions(+), 9 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index c551771..071f19f 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-02T05:38:39","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-02T06:02:37","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 42a3db5..4e1d1df 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            Build Status Coverage Status Codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index a0e406a..33af0b6 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 73b551b..279c462 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/search_index.js b/dev/search_index.js index 1d5c053..fbc67d3 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. 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As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"multinomials.jl\"]","category":"page"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"numbers.jl\"]","category":"page"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"partitions.jl\"]","category":"page"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(m, f, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From 58ef5f0212d231671fb8a3a6ac4659e97a80f5a0 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 2 Feb 2024 06:03:25 +0000 Subject: [PATCH 09/39] build based on d800d9f --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 071f19f..c240e80 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-02T06:02:37","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-02T06:03:22","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 4e1d1df..094a98e 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 33af0b6..fca25a9 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 279c462..3eb8342 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From 521ee0ce12e11cb6a3f36442160ce76d37c898d5 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 5 Feb 2024 01:54:52 +0000 Subject: [PATCH 10/39] build based on 927ce15 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index c240e80..b7c1802 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-02T06:03:22","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-05T01:54:49","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 094a98e..56fb147 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index fca25a9..90d0597 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 3eb8342..f3779d2 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From ab65891ddb4461cab6fd2e1c4bf4005addca7c9f Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 5 Feb 2024 01:55:06 +0000 Subject: [PATCH 11/39] build based on fc94729 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index b7c1802..6a55564 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-05T01:54:49","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-05T01:55:04","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 56fb147..6fa5e23 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 90d0597..7512648 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index f3779d2..ff64a8a 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From d7e1926db66f65d243180b95a39583a366c3fb37 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 5 Feb 2024 01:55:15 +0000 Subject: [PATCH 12/39] build based on 751ec2a --- dev/.documenter-siteinfo.json | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- 3 files changed, 7 insertions(+), 7 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 6a55564..bdfac02 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-05T01:55:04","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-05T01:55:12","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/api/index.html b/dev/api/index.html index 7512648..9136d55 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index ff64a8a..f94baca 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From c0f3da8d6d84ca2ab1fd7a3562640174b2d95fa8 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Tue, 6 Feb 2024 19:10:10 +0000 Subject: [PATCH 13/39] build based on 4d4d1f0 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index bdfac02..a912696 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-05T01:55:12","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-06T19:10:08","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 6fa5e23..c353c8a 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 9136d55..1e4e7ee 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index f94baca..4bc1252 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From 1eaa8d07a95def902ccb76492fd4808c380d4b98 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Tue, 6 Feb 2024 19:24:39 +0000 Subject: [PATCH 14/39] build based on 8bae167 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index a912696..62c06c8 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-06T19:10:08","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-06T19:24:36","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index c353c8a..fac320f 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 1e4e7ee..247a2a9 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 4bc1252..0d6a50c 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From fb213fe66ec5d67e2c5e06679a8ee73a12d9d7ac Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Tue, 6 Feb 2024 20:03:53 +0000 Subject: [PATCH 15/39] build based on 0a923d6 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 62c06c8..2263013 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-06T19:24:36","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-06T20:03:50","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index fac320f..8eb406e 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 247a2a9..3b94fd9 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 0d6a50c..905e87e 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From 3ca31ff56e2b325f9e98afa22266632f7b182533 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 12 Feb 2024 03:18:09 +0000 Subject: [PATCH 16/39] build based on a303e88 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- dev/search_index.js | 2 +- 5 files changed, 9 insertions(+), 9 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 2263013..c55ad5b 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-06T20:03:50","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-12T03:18:07","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 8eb406e..95a1853 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 3b94fd9..75d75b1 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 905e87e..6f4a1f9 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/search_index.js b/dev/search_index.js index fbc67d3..1522d85 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. 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Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. 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The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(m, f, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"multinomials.jl\"]","category":"page"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"numbers.jl\"]","category":"page"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"partitions.jl\"]","category":"page"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From 89af6be3e11f87f5c69e6eca4957b50e80ca1bf2 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Tue, 7 May 2024 01:45:57 +0000 Subject: [PATCH 17/39] build based on c54de00 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +- dev/assets/documenter.js | 923 +++++++++++++++---------- dev/assets/themes/documenter-dark.css | 2 +- dev/assets/themes/documenter-light.css | 2 +- dev/index.html | 2 +- dev/objects.inv | Bin 0 -> 941 bytes 8 files changed, 552 insertions(+), 391 deletions(-) create mode 100644 dev/objects.inv diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index c55ad5b..94e57d0 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-02-12T03:18:07","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.3","generation_timestamp":"2024-05-07T01:45:55","documenter_version":"1.4.1"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 95a1853..99e625c 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 75d75b1..e2f646f 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/assets/documenter.js b/dev/assets/documenter.js index f531160..c6562b5 100644 --- a/dev/assets/documenter.js +++ b/dev/assets/documenter.js @@ -4,7 +4,6 @@ requirejs.config({ 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', - 'minisearch': 'https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min', 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', @@ -103,9 +102,10 @@ $(document).on("click", ".docstring header", function () { }); }); -$(document).on("click", ".docs-article-toggle-button", function () { +$(document).on("click", ".docs-article-toggle-button", function (event) { let articleToggleTitle = "Expand docstring"; let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; debounce(() => { if (isExpanded) { @@ -116,7 +116,7 @@ $(document).on("click", ".docs-article-toggle-button", function () { isExpanded = false; - $(".docstring section").slideUp(); + $(".docstring section").slideUp(animationSpeed); } else { $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); $(".docstring-article-toggle-button") @@ -127,7 +127,7 @@ $(document).on("click", ".docs-article-toggle-button", function () { articleToggleTitle = "Collapse docstring"; navArticleToggleTitle = "Collapse all docstrings"; - $(".docstring section").slideDown(); + $(".docstring section").slideDown(animationSpeed); } $(this).prop("title", navArticleToggleTitle); @@ -224,224 +224,465 @@ $(document).ready(function () { }) //////////////////////////////////////////////////////////////////////////////// -require(['jquery', 'minisearch'], function($, minisearch) { - -// In general, most search related things will have "search" as a prefix. -// To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc +require(['jquery'], function($) { -let results = []; -let timer = undefined; +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); -let data = documenterSearchIndex["docs"].map((x, key) => { - x["id"] = key; // minisearch requires a unique for each object - return x; + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } }); -// list below is the lunr 2.1.3 list minus the intersect with names(Base) -// (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) -// ideally we'd just filter the original list but it's not available as a variable -const stopWords = new Set([ - "a", - "able", - "about", - "across", - "after", - "almost", - "also", - "am", - "among", - "an", - "and", - "are", - "as", - "at", - "be", - "because", - "been", - "but", - "by", - "can", - "cannot", - "could", - "dear", - "did", - "does", - "either", - "ever", - "every", - "from", - "got", - "had", - "has", - "have", - "he", - "her", - "hers", - "him", - "his", - "how", - "however", - "i", - "if", - "into", - "it", - "its", - "just", - "least", - "like", - "likely", - "may", - "me", - "might", - "most", - "must", - "my", - "neither", - "no", - "nor", - "not", - "of", - "off", - "often", - "on", - "or", - "other", - "our", - "own", - "rather", - "said", - "say", - "says", - "she", - "should", - "since", - "so", - "some", - "than", - "that", - "the", - "their", - "them", - "then", - "there", - "these", - "they", - "this", - "tis", - "to", - "too", - "twas", - "us", - "wants", - "was", - "we", - "were", - "what", - "when", - "who", - "whom", - "why", - "will", - "would", - "yet", - "you", - "your", -]); - -let index = new minisearch({ - fields: ["title", "text"], // fields to index for full-text search - storeFields: ["location", "title", "text", "category", "page"], // fields to return with search results - processTerm: (term) => { - let word = stopWords.has(term) ? null : term; - if (word) { - // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names - word = word - .replace(/^[^a-zA-Z0-9@!]+/, "") - .replace(/[^a-zA-Z0-9@!]+$/, ""); - } +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { - return word ?? null; - }, - // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not find anything if searching for "add!", only for the entire qualification - tokenize: (string) => string.split(/[\s\-\.]+/), - // options which will be applied during the search - searchOptions: { - boost: { title: 100 }, - fuzzy: 2, +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results processTerm: (term) => { let word = stopWords.has(term) ? null : term; if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names word = word .replace(/^[^a-zA-Z0-9@!]+/, "") .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); } return word ?? null; }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification tokenize: (string) => string.split(/[\s\-\.]+/), - }, -}); + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); -index.addAll(data); + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } -let filters = [...new Set(data.map((x) => x.category))]; -var modal_filters = make_modal_body_filters(filters); -var filter_results = []; + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
                            `; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } -$(document).on("keyup", ".documenter-search-input", function (event) { - // Adding a debounce to prevent disruptions from super-speed typing! - debounce(() => update_search(filter_results), 300); + let textindex = new RegExp(`${querystring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(querystring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
                            +
                            ${escape(result.title)}
                            +
                            ${result.category}
                            +
                            +

                            + ${display_result} +

                            +
                            + ${display_link} +
                            +                             + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } }); +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + $(document).on("click", ".search-filter", function () { if ($(this).hasClass("search-filter-selected")) { - $(this).removeClass("search-filter-selected"); + selected_filter = ""; } else { - $(this).addClass("search-filter-selected"); + selected_filter = $(this).text().toLowerCase(); } - // Adding a debounce to prevent disruptions from crazy clicking! - debounce(() => get_filters(), 300); + // This updates search results and toggles classes for UI: + update_search(); }); -/** - * A debounce function, takes a function and an optional timeout in milliseconds - * - * @function callback - * @param {number} timeout - */ -function debounce(callback, timeout = 300) { - clearTimeout(timer); - timer = setTimeout(callback, timeout); -} - /** * Make/Update the search component - * - * @param {string[]} selected_filters */ -function update_search(selected_filters = []) { - let initial_search_body = ` -
                            Type something to get started!
                            - `; - +function update_search() { let querystring = $(".documenter-search-input").val(); if (querystring.trim()) { - results = index.search(querystring, { - filter: (result) => { - // Filtering results - if (selected_filters.length === 0) { - return result.score >= 1; - } else { - return ( - result.score >= 1 && selected_filters.includes(result.category) - ); - } - }, - }); + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } let search_result_container = ``; + let modal_filters = make_modal_body_filters(); let search_divider = `
                            `; if (results.length) { @@ -449,19 +690,23 @@ function update_search(selected_filters = []) { let count = 0; let search_results = ""; - results.forEach(function (result) { - if (result.location) { - // Checking for duplication of results for the same page - if (!links.includes(result.location)) { - search_results += make_search_result(result, querystring); - count++; - } - + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; links.push(result.location); } - }); + } - let result_count = `
                            ${count} result(s)
                            `; + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
                            ${count_str}
                            `; search_result_container = `
                            @@ -490,125 +735,37 @@ function update_search(selected_filters = []) { $(".search-modal-card-body").html(search_result_container); } else { - filter_results = []; - modal_filters = make_modal_body_filters(filters, filter_results); - if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { $(".search-modal-card-body").addClass("is-justify-content-center"); } - $(".search-modal-card-body").html(initial_search_body); + $(".search-modal-card-body").html(` +
                            Type something to get started!
                            + `); } } /** * Make the modal filter html * - * @param {string[]} filters - * @param {string[]} selected_filters * @returns string */ -function make_modal_body_filters(filters, selected_filters = []) { - let str = ``; - - filters.forEach((val) => { - if (selected_filters.includes(val)) { - str += `${val}`; - } else { - str += `${val}`; - } - }); +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); - let filter_html = ` + return `
                            Filters: ${str} -
                            - `; - - return filter_html; -} - -/** - * Make the result component given a minisearch result data object and the value of the search input as queryString. - * To view the result object structure, refer: https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult - * - * @param {object} result - * @param {string} querystring - * @returns string - */ -function make_search_result(result, querystring) { - let search_divider = `
                            `; - let display_link = - result.location.slice(Math.max(0), Math.min(50, result.location.length)) + - (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div - - if (result.page !== "") { - display_link += ` (${result.page})`; - } - - let textindex = new RegExp(`\\b${querystring}\\b`, "i").exec(result.text); - let text = - textindex !== null - ? result.text.slice( - Math.max(textindex.index - 100, 0), - Math.min( - textindex.index + querystring.length + 100, - result.text.length - ) - ) - : ""; // cut-off text before and after from the match - - let display_result = text.length - ? "..." + - text.replace( - new RegExp(`\\b${querystring}\\b`, "i"), // For first occurrence - '$&' - ) + - "..." - : ""; // highlights the match - - let in_code = false; - if (!["page", "section"].includes(result.category.toLowerCase())) { - in_code = true; - } - - // We encode the full url to escape some special characters which can lead to broken links - let result_div = ` - -
                            -
                            ${result.title}
                            -
                            ${result.category}
                            -
                            -

                            - ${display_result} -

                            -
                            - ${display_link} -
                            -                             - ${search_divider} - `; - - return result_div; -} - -/** - * Get selected filters, remake the filter html and lastly update the search modal - */ -function get_filters() { - let ele = $(".search-filters .search-filter-selected").get(); - filter_results = ele.map((x) => $(x).text().toLowerCase()); - modal_filters = make_modal_body_filters(filters, filter_results); - update_search(filter_results); +
                            `; } }) @@ -635,103 +792,107 @@ $(document).ready(function () { //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { -let search_modal_header = ` -
                            -
                            -

                            - - - - -

                            -
                            -
                            - -
                            -
                            -`; - -let initial_search_body = ` -
                            Type something to get started!
                            -`; - -let search_modal_footer = ` -
                            - - Ctrl + - / to search - - esc to close -
                            -`; - -$(document.body).append( - ` - +
                            No result found!
                            `; - } else { - search_result_container = ` -
                            - ${modal_filters} - ${search_divider} -
                            0 result(s)
                            -
                            -
                            No result found!
                            - `; - } + } - if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { - $(".search-modal-card-body").removeClass("is-justify-content-center"); - } + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } - $(".search-modal-card-body").html(search_result_container); - } else { - if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { - $(".search-modal-card-body").addClass("is-justify-content-center"); + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
                            Type something to get started!
                            + `); } + } - $(".search-modal-card-body").html(` -
                            Type something to get started!
                            - `); + /** + * Make the modal filter html + * + * @returns string + */ + function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
                            + Filters: + ${str} +
                            `; } } -/** - * Make the modal filter html - * - * @returns string - */ -function make_modal_body_filters() { - let str = filters - .map((val) => { - if (selected_filter == val.toLowerCase()) { - return `${val}`; - } else { - return `${val}`; - } - }) - .join(""); - - return ` -
                            - Filters: - ${str} -
                            `; +function waitUntilSearchIndexAvailable() { + // It is possible that the documenter.js script runs before the page + // has finished loading and documenterSearchIndex gets defined. + // So we need to wait until the search index actually loads before setting + // up all the search-related stuff. + if (typeof documenterSearchIndex !== "undefined") { + runSearchMainCode(); + } else { + console.warn("Search Index not available, waiting"); + setTimeout(waitUntilSearchIndexAvailable, 1000); + } } +// The actual entry point to the search code +waitUntilSearchIndexAvailable(); + }) //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { diff --git a/dev/assets/themes/catppuccin-frappe.css b/dev/assets/themes/catppuccin-frappe.css new file mode 100644 index 0000000..32e3f00 --- /dev/null +++ b/dev/assets/themes/catppuccin-frappe.css @@ -0,0 +1 @@ +html.theme--catppuccin-frappe 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html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content 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.button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe 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.button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-light{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:hover,html.theme--catppuccin-frappe .button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe 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.button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe 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.button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-frappe .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-frappe div.icon-text{display:flex}html.theme--catppuccin-frappe .image,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-frappe .image img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-frappe .image img.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-frappe .image.is-fullwidth,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-frappe .image.is-square img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-frappe .image.is-square .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-frappe .image.is-1by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-frappe .image.is-1by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-frappe .image.is-5by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-frappe .image.is-5by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-frappe .image.is-4by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-frappe .image.is-4by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-frappe .image.is-3by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-frappe .image.is-5by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-frappe .image.is-5by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-frappe .image.is-16by9 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-frappe .image.is-16by9 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-frappe .image.is-2by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-frappe .image.is-2by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-frappe .image.is-3by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-frappe .image.is-3by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-frappe .image.is-4by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-frappe .image.is-4by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-frappe .image.is-3by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-frappe .image.is-3by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-frappe .image.is-2by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-frappe .image.is-2by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-frappe .image.is-3by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-frappe .image.is-9by16 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-frappe .image.is-9by16 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-frappe .image.is-1by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-frappe .image.is-1by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-frappe .image.is-1by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-frappe .image.is-1by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-frappe .image.is-square,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-frappe .image.is-1by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-frappe .image.is-5by4,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-frappe .image.is-4by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-frappe 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.modal-card{display:flex;flex-direction:column;max-height:calc(100vh - 40px);overflow:hidden;-ms-overflow-y:visible}html.theme--catppuccin-frappe .modal-card-head,html.theme--catppuccin-frappe .modal-card-foot{align-items:center;background-color:#292c3c;display:flex;flex-shrink:0;justify-content:flex-start;padding:20px;position:relative}html.theme--catppuccin-frappe .modal-card-head{border-bottom:1px solid #626880;border-top-left-radius:8px;border-top-right-radius:8px}html.theme--catppuccin-frappe .modal-card-title{color:#c6d0f5;flex-grow:1;flex-shrink:0;font-size:1.5rem;line-height:1}html.theme--catppuccin-frappe .modal-card-foot{border-bottom-left-radius:8px;border-bottom-right-radius:8px;border-top:1px solid #626880}html.theme--catppuccin-frappe .modal-card-foot .button:not(:last-child){margin-right:.5em}html.theme--catppuccin-frappe 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rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus:not(:active),html.theme--catppuccin-latte .content kbd.button:focus:not(:active),html.theme--catppuccin-latte .button.is-dark.is-focused:not(:active),html.theme--catppuccin-latte .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(204,208,218,0.25)}html.theme--catppuccin-latte .button.is-dark:active,html.theme--catppuccin-latte .content kbd.button:active,html.theme--catppuccin-latte .button.is-dark.is-active,html.theme--catppuccin-latte .content kbd.button.is-active{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark[disabled],html.theme--catppuccin-latte .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:#ccd0da;box-shadow:none}html.theme--catppuccin-latte .button.is-dark.is-inverted,html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte 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.docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-inverted:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-primary.is-inverted[disabled],html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-loading::after,html.theme--catppuccin-latte .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-primary.is-outlined,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-outlined:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-latte .button.is-primary.is-outlined:focus,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-latte 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.docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-latte 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.button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-primary.is-light,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-primary.is-light:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-light.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-primary.is-light:active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-latte .button.is-primary.is-light.is-active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:hover,html.theme--catppuccin-latte .button.is-link.is-hovered{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus,html.theme--catppuccin-latte .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus:not(:active),html.theme--catppuccin-latte .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(30,102,245,0.25)}html.theme--catppuccin-latte .button.is-link:active,html.theme--catppuccin-latte .button.is-link.is-active{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-outlined.is-focused{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-link.is-light{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:hover,html.theme--catppuccin-latte .button.is-link.is-light.is-hovered{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:active,html.theme--catppuccin-latte .button.is-link.is-light.is-active{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:hover,html.theme--catppuccin-latte .button.is-info.is-hovered{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus,html.theme--catppuccin-latte .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus:not(:active),html.theme--catppuccin-latte .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(23,146,153,0.25)}html.theme--catppuccin-latte .button.is-info:active,html.theme--catppuccin-latte .button.is-info.is-active{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:#179299;box-shadow:none}html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;color:#179299}html.theme--catppuccin-latte .button.is-info.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-outlined.is-focused{background-color:#179299;border-color:#179299;color:#fff}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-info.is-light{background-color:#edfcfc;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table th:not([align]){text-align:inherit}html.theme--catppuccin-latte .content table thead td,html.theme--catppuccin-latte .content table thead th{border-width:0 0 2px;color:#41445a}html.theme--catppuccin-latte .content table tfoot td,html.theme--catppuccin-latte .content table tfoot th{border-width:2px 0 0;color:#41445a}html.theme--catppuccin-latte .content table tbody tr:last-child td,html.theme--catppuccin-latte .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-latte .content .tabs li+li{margin-top:0}html.theme--catppuccin-latte .content.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-latte .content.is-normal{font-size:1rem}html.theme--catppuccin-latte .content.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .content.is-large{font-size:1.5rem}html.theme--catppuccin-latte .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-latte .icon.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-latte .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-latte .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-latte .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-latte .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-latte .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-latte div.icon-text{display:flex}html.theme--catppuccin-latte .image,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-latte .image img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-latte .image img.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-latte .image.is-fullwidth,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-latte .image.is-square img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-latte .image.is-square .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-latte .image.is-1by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-latte .image.is-1by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-latte .image.is-5by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-latte .image.is-5by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-latte .image.is-4by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-latte .image.is-4by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-latte .image.is-3by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-latte .image.is-5by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-latte .image.is-5by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-latte .image.is-16by9 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-latte .image.is-16by9 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-latte .image.is-2by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-latte .image.is-2by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-latte .image.is-3by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-latte .image.is-3by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-latte .image.is-4by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-latte .image.is-4by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-latte .image.is-3by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-latte .image.is-3by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-latte .image.is-2by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-latte .image.is-2by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-latte .image.is-3by5 .has-ratio,html.theme--catppuccin-latte 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.button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:hover,html.theme--catppuccin-macchiato .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus,html.theme--catppuccin-macchiato .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus:not(:active),html.theme--catppuccin-macchiato .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-macchiato .button.is-black:active,html.theme--catppuccin-macchiato .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:hover,html.theme--catppuccin-macchiato .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus,html.theme--catppuccin-macchiato .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus:not(:active),html.theme--catppuccin-macchiato .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-macchiato .button.is-light:active,html.theme--catppuccin-macchiato .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato 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.content kbd.button{background-color:#363a4f;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:hover,html.theme--catppuccin-macchiato .content kbd.button:hover,html.theme--catppuccin-macchiato .button.is-dark.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-hovered{background-color:#313447;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus,html.theme--catppuccin-macchiato .content kbd.button:focus,html.theme--catppuccin-macchiato .button.is-dark.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus:not(:active),html.theme--catppuccin-macchiato .content kbd.button:focus:not(:active),html.theme--catppuccin-macchiato .button.is-dark.is-focused:not(:active),html.theme--catppuccin-macchiato .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(54,58,79,0.25)}html.theme--catppuccin-macchiato .button.is-dark:active,html.theme--catppuccin-macchiato .content kbd.button:active,html.theme--catppuccin-macchiato .button.is-dark.is-active,html.theme--catppuccin-macchiato .content kbd.button.is-active{background-color:#2c2f40;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark[disabled],html.theme--catppuccin-macchiato .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:#363a4f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-dark.is-inverted,html.theme--catppuccin-macchiato .content kbd.button.is-inverted{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted:hover,html.theme--catppuccin-macchiato 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.button.is-dark.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-focused{background-color:#363a4f;border-color:#363a4f;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content 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.button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused,html.theme--catppuccin-macchiato .buttons.has-addons .button:active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button:active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-macchiato .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-macchiato .buttons.is-centered{justify-content:center}html.theme--catppuccin-macchiato .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-macchiato 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kbd.button.is-hovered{background-color:#2c2d3d;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus,html.theme--catppuccin-mocha .content kbd.button:focus,html.theme--catppuccin-mocha .button.is-dark.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus:not(:active),html.theme--catppuccin-mocha .content kbd.button:focus:not(:active),html.theme--catppuccin-mocha .button.is-dark.is-focused:not(:active),html.theme--catppuccin-mocha .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(49,50,68,0.25)}html.theme--catppuccin-mocha .button.is-dark:active,html.theme--catppuccin-mocha .content kbd.button:active,html.theme--catppuccin-mocha .button.is-dark.is-active,html.theme--catppuccin-mocha .content kbd.button.is-active{background-color:#262735;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-primary,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha 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.button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons 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.button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;box-shadow:none;color:#375a7f}html.theme--documenter-dark 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.button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter 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#documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter 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img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--documenter-dark .image.is-3by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--documenter-dark .image.is-2by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--documenter-dark .image.is-2by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--documenter-dark .image.is-3by5 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--documenter-dark .image.is-3by5 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--documenter-dark .image.is-9by16 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--documenter-dark .image.is-9by16 .has-ratio,html.theme--documenter-dark #documenter 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.docs-logo>img.is-5by4{padding-top:80%}html.theme--documenter-dark .image.is-4by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--documenter-dark .image.is-3by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--documenter-dark .image.is-5by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--documenter-dark .image.is-16by9,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--documenter-dark .image.is-2by1,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--documenter-dark .image.is-3by1,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--documenter-dark .image.is-4by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--documenter-dark .image.is-3by4,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--documenter-dark .image.is-2by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--documenter-dark .image.is-3by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--documenter-dark .image.is-9by16,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--documenter-dark .image.is-1by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--documenter-dark .image.is-1by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by3{padding-top:300%}html.theme--documenter-dark .image.is-16x16,html.theme--documenter-dark #documenter .docs-sidebar 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kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark 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rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#f4c72f;box-shadow:none;color:#f4c72f}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f4c72f}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark 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Theme: Default Description: Original highlight.js style Author: (c) Ivan Sagalaev diff --git a/dev/index.html b/dev/index.html index 16ae475..98be339 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From d7141536310c33f6590849054b7028b5eeeaeecf Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 4 Jan 2025 10:04:57 +0000 Subject: [PATCH 20/39] build based on cf0b388 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 10 +++++----- dev/index.html | 2 +- 4 files changed, 8 insertions(+), 8 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 145fee7..5277c53 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.1","generation_timestamp":"2024-11-27T13:22:10","documenter_version":"1.8.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.2","generation_timestamp":"2025-01-04T10:04:53","documenter_version":"1.8.0"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index a034683..e6fc26e 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index c79ae7a..c82f410 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,9 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 98be339..0162e5c 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From a4b48fdf3e4e3e85a192733a6b206d21595e333b Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Wed, 30 Apr 2025 06:43:02 +0000 Subject: [PATCH 21/39] build based on 9fef104 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 137 ++++++++++++++++++++- dev/assets/documenter.js | 121 +++++++++++++++++- dev/assets/themes/catppuccin-frappe.css | 2 +- dev/assets/themes/catppuccin-latte.css | 2 +- dev/assets/themes/catppuccin-macchiato.css | 2 +- dev/assets/themes/catppuccin-mocha.css | 2 +- dev/assets/themes/documenter-dark.css | 2 +- dev/assets/themes/documenter-light.css | 2 +- dev/index.html | 2 +- dev/search_index.js | 2 +- 12 files changed, 258 insertions(+), 20 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 5277c53..a676352 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.2","generation_timestamp":"2025-01-04T10:04:53","documenter_version":"1.8.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-04-30T06:42:58","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index e6fc26e..db8d26f 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index c82f410..f0c07ba 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,9 +7,136 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+6-element Vector{Vector{Int64}}:
+ [1, 1]
+ [1, 1]
+ [1, 1]
+ [1, 1]
+ [1, 1]
+ [1, 1]
+
+julia> collect(multiset_permutations([1,1,1], 2))
+1-element Vector{Vector{Int64}}:
+ [1, 1]
+
+julia> collect(multiset_permutations([1,1,2], 3))
+3-element Vector{Vector{Int64}}:
+ [1, 1, 2]
+ [1, 2, 1]
+ [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
+
+julia> collect(permutations(a))
+6-element Vector{Vector{Int64}}:
+ [1, 2, 3]
+ [1, 3, 2]
+ [2, 1, 3]
+ [2, 3, 1]
+ [3, 1, 2]
+ [3, 2, 1]
+
+julia> nthperm!(a, 3); a
+3-element Vector{Int64}:
+ 2
+ 1
+ 3
+
+julia> nthperm!(a, 4); a
+3-element Vector{Int64}:
+ 1
+ 3
+ 2
+
+julia> nthperm!(a, 0)
+ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+2-element Vector{Vector{Int64}}:
+ [1, 2]
+ [2, 1]
+
+julia> nthperm([1,2], 1)
+2-element Vector{Int64}:
+ 1
+ 2
+
+julia> nthperm([1,2], 2)
+2-element Vector{Int64}:
+ 2
+ 1
+
+julia> nthperm([1,2], 3)
+ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+4
+
+julia> collect(permutations([1, 2, 3]))
+6-element Vector{Vector{Int64}}:
+ [1, 2, 3]
+ [1, 3, 2]
+ [2, 1, 3]
+ [2, 3, 1]
+ [3, 1, 2]
+ [3, 2, 1]
+
+julia> nthperm([1, 2, 3])
+1
+
+julia> nthperm([3, 2, 1])
+6
+
+julia> nthperm([1, 1, 1])
+ERROR: ArgumentError: argument is not a permutation
+[...]
+
+julia> nthperm(collect(1:10))
+1
+
+julia> nthperm(collect(10:-1:1))
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+0
+
+julia> parity([3, 2, 1])
+1
+
+julia> parity([1, 1, 1])
+ERROR: ArgumentError: Not a permutation
+[...]
+
+julia> parity((collect(1:100)))
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+6-element Vector{Tuple{Int64, Any}}:
+ (-1, Vector{Int64}[])
+ (0, [Int64[]])
+ (1, [[1], [2], [3]])
+ (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))
+ (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))
+ (4, Vector{Int64}[])
+
+julia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]
+6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:
+ (-1, [])
+ (0, [[]])
+ (1, [[1], [2], [3]])
+ (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
+ (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
+
+julia> collect(permutations(1:2))
+2-element Vector{Vector{Int64}}:
+ [1, 2]
+ [2, 1]
+
+julia> collect(permutations(1:3))
+6-element Vector{Vector{Int64}}:
+ [1, 2, 3]
+ [1, 3, 2]
+ [2, 1, 3]
+ [2, 3, 1]
+ [3, 1, 2]
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/assets/documenter.js b/dev/assets/documenter.js index 7d68cd8..7787aff 100644 --- a/dev/assets/documenter.js +++ b/dev/assets/documenter.js @@ -239,6 +239,20 @@ $(document).ready(function () { type: "click", noToggleAnimation: true, }); + + setTimeout(function () { + if (window.location.hash) { + const targetId = window.location.hash.substring(1); + const targetElement = document.getElementById(targetId); + + if (targetElement) { + targetElement.scrollIntoView({ + behavior: "smooth", + block: "center", + }); + } + } + }, 100); } }); @@ -647,6 +661,42 @@ function runSearchMainCode() { // Which filter is currently selected var selected_filter = ""; + document.addEventListener("reset-filter", function () { + selected_filter = ""; + update_search(); + }); + + //update the url with search query + function updateSearchURL(query) { + const url = new URL(window.location); + + if (query && query.trim() !== "") { + url.searchParams.set("q", query); + } else { + // remove the 'q' param if it exists + if (url.searchParams.has("q")) { + url.searchParams.delete("q"); + } + } + + // Add or remove the filter parameter based on selected_filter + if (selected_filter && selected_filter.trim() !== "") { + url.searchParams.set("filter", selected_filter); + } else { + // remove the 'filter' param if it exists + if (url.searchParams.has("filter")) { + url.searchParams.delete("filter"); + } + } + + // Only update history if there are parameters, otherwise use the base URL + if (url.search) { + window.history.replaceState({}, "", url); + } else { + window.history.replaceState({}, "", url.pathname + url.hash); + } + } + $(document).on("input", ".documenter-search-input", function (event) { if (!worker_is_running) { launch_search(); @@ -656,6 +706,7 @@ function runSearchMainCode() { function launch_search() { worker_is_running = true; last_search_text = $(".documenter-search-input").val(); + updateSearchURL(last_search_text); worker.postMessage(last_search_text); } @@ -671,6 +722,9 @@ function runSearchMainCode() { }; $(document).on("click", ".search-filter", function () { + let search_input = $(".documenter-search-input"); + let cursor_position = search_input[0].selectionStart; + if ($(this).hasClass("search-filter-selected")) { selected_filter = ""; } else { @@ -679,6 +733,9 @@ function runSearchMainCode() { // This updates search results and toggles classes for UI: update_search(); + + search_input.focus(); + search_input.setSelectionRange(cursor_position, cursor_position); }); /** @@ -686,6 +743,7 @@ function runSearchMainCode() { */ function update_search() { let querystring = $(".documenter-search-input").val(); + updateSearchURL(querystring); if (querystring.trim()) { if (selected_filter == "") { @@ -760,6 +818,24 @@ function runSearchMainCode() { } } + //url param checking + function checkURLForSearch() { + const urlParams = new URLSearchParams(window.location.search); + const searchQuery = urlParams.get("q"); + const filterParam = urlParams.get("filter"); + + // Set the selected filter if present in URL + if (filterParam) { + selected_filter = filterParam.toLowerCase(); + } + + // Trigger input event if there's a search query to perform the search + if (searchQuery) { + $(".documenter-search-input").val(searchQuery).trigger("input"); + } + } + setTimeout(checkURLForSearch, 100); + /** * Make the modal filter html * @@ -830,8 +906,9 @@ $(document).ready(function () {

                            - - + + +

                            @@ -870,6 +947,19 @@ $(document).ready(function () { ` ); + function checkURLForSearch() { + const urlParams = new URLSearchParams(window.location.search); + const searchQuery = urlParams.get("q"); + + if (searchQuery) { + //only if there is a search query, open the modal + openModal(); + } + } + + //this function will be called whenever the page will load + checkURLForSearch(); + document.querySelector(".docs-search-query").addEventListener("click", () => { openModal(); }); @@ -894,6 +984,25 @@ $(document).ready(function () { return false; }); + //event listener for the link icon to copy the URL + $(document).on("click", ".link-icon", function () { + const currentUrl = window.location.href; + + navigator.clipboard + .writeText(currentUrl) + .then(() => { + const $linkIcon = $(this); + $linkIcon.removeClass("fa-link").addClass("fa-check"); + + setTimeout(() => { + $linkIcon.removeClass("fa-check").addClass("fa-link"); + }, 1000); + }) + .catch((err) => { + console.error("Failed to copy URL: ", err); + }); + }); + // Functions to open and close a modal function openModal() { let searchModal = document.querySelector("#search-modal"); @@ -908,15 +1017,17 @@ $(document).ready(function () {
                            Type something to get started!
                            `; + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + + document.dispatchEvent(new CustomEvent("reset-filter")); + searchModal.classList.remove("is-active"); document.querySelector(".documenter-search-input").blur(); if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { $(".search-modal-card-body").addClass("is-justify-content-center"); } - - $(".documenter-search-input").val(""); - $(".search-modal-card-body").html(initial_search_body); } document diff --git a/dev/assets/themes/catppuccin-frappe.css b/dev/assets/themes/catppuccin-frappe.css index 32e3f00..5a15fed 100644 --- a/dev/assets/themes/catppuccin-frappe.css +++ b/dev/assets/themes/catppuccin-frappe.css @@ -1 +1 @@ -html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe 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kbd.button.is-inverted{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-dark.is-inverted[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe 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html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:hover,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:focus,html.theme--catppuccin-frappe 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!important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) 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.button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe 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.button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe 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.button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-frappe .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-frappe div.icon-text{display:flex}html.theme--catppuccin-frappe .image,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-frappe .image img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-frappe .image img.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-frappe .image.is-fullwidth,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-frappe .image.is-square img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-frappe .image.is-square .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-frappe .image.is-1by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-frappe .image.is-1by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-frappe .image.is-5by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-frappe .image.is-5by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-frappe .image.is-4by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-frappe .image.is-4by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-frappe .image.is-3by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-frappe .image.is-5by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-frappe .image.is-5by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-frappe .image.is-16by9 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-frappe .image.is-16by9 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-frappe .image.is-2by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-frappe .image.is-2by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-frappe .image.is-3by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-frappe .image.is-3by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-frappe .image.is-4by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-frappe .image.is-4by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-frappe .image.is-3by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-frappe .image.is-3by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-frappe .image.is-2by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-frappe .image.is-2by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-frappe .image.is-3by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-frappe .image.is-9by16 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-frappe .image.is-9by16 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-frappe .image.is-1by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-frappe .image.is-1by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-frappe .image.is-1by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-frappe .image.is-1by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-frappe .image.is-square,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-frappe .image.is-1by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-frappe .image.is-5by4,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-frappe .image.is-4by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-frappe 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.docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-frappe .image.is-2by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-frappe .image.is-3by5,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-frappe .image.is-9by16,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--catppuccin-frappe .image.is-1by2,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--catppuccin-frappe .image.is-1by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3{padding-top:300%}html.theme--catppuccin-frappe .image.is-16x16,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16x16{height:16px;width:16px}html.theme--catppuccin-frappe .image.is-24x24,html.theme--catppuccin-frappe #documenter 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html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content 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.button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe 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.button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-light{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:hover,html.theme--catppuccin-frappe .button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe 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.button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe 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.button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-frappe .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-frappe div.icon-text{display:flex}html.theme--catppuccin-frappe .image,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-frappe .image img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-frappe .image img.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-frappe .image.is-fullwidth,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-frappe .image.is-square img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-frappe .image.is-square .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-frappe .image.is-1by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-frappe .image.is-1by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-frappe .image.is-5by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-frappe .image.is-5by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-frappe .image.is-4by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-frappe .image.is-4by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-frappe .image.is-3by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-frappe .image.is-5by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-frappe .image.is-5by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-frappe .image.is-16by9 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-frappe .image.is-16by9 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-frappe .image.is-2by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-frappe .image.is-2by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-frappe .image.is-3by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-frappe .image.is-3by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-frappe .image.is-4by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-frappe .image.is-4by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-frappe .image.is-3by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-frappe .image.is-3by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-frappe .image.is-2by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-frappe .image.is-2by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-frappe .image.is-3by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-frappe .image.is-9by16 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-frappe .image.is-9by16 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-frappe .image.is-1by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-frappe .image.is-1by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-frappe .image.is-1by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-frappe .image.is-1by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-frappe .image.is-square,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-frappe .image.is-1by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-frappe .image.is-5by4,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-frappe .image.is-4by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-frappe 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.modal-card{display:flex;flex-direction:column;max-height:calc(100vh - 40px);overflow:hidden;-ms-overflow-y:visible}html.theme--catppuccin-frappe .modal-card-head,html.theme--catppuccin-frappe .modal-card-foot{align-items:center;background-color:#292c3c;display:flex;flex-shrink:0;justify-content:flex-start;padding:20px;position:relative}html.theme--catppuccin-frappe .modal-card-head{border-bottom:1px solid #626880;border-top-left-radius:8px;border-top-right-radius:8px}html.theme--catppuccin-frappe .modal-card-title{color:#c6d0f5;flex-grow:1;flex-shrink:0;font-size:1.5rem;line-height:1}html.theme--catppuccin-frappe .modal-card-foot{border-bottom-left-radius:8px;border-bottom-right-radius:8px;border-top:1px solid #626880}html.theme--catppuccin-frappe .modal-card-foot .button:not(:last-child){margin-right:.5em}html.theme--catppuccin-frappe 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kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte 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.docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-primary.is-light,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-primary.is-light:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-light.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-primary.is-light:active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-latte .button.is-primary.is-light.is-active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:hover,html.theme--catppuccin-latte .button.is-link.is-hovered{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus,html.theme--catppuccin-latte .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus:not(:active),html.theme--catppuccin-latte .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(30,102,245,0.25)}html.theme--catppuccin-latte .button.is-link:active,html.theme--catppuccin-latte .button.is-link.is-active{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-outlined.is-focused{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-link.is-light{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:hover,html.theme--catppuccin-latte .button.is-link.is-light.is-hovered{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:active,html.theme--catppuccin-latte .button.is-link.is-light.is-active{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:hover,html.theme--catppuccin-latte .button.is-info.is-hovered{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus,html.theme--catppuccin-latte .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus:not(:active),html.theme--catppuccin-latte .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(23,146,153,0.25)}html.theme--catppuccin-latte .button.is-info:active,html.theme--catppuccin-latte .button.is-info.is-active{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:#179299;box-shadow:none}html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;color:#179299}html.theme--catppuccin-latte .button.is-info.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-outlined.is-focused{background-color:#179299;border-color:#179299;color:#fff}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-info.is-light{background-color:#edfcfc;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table th:not([align]){text-align:inherit}html.theme--catppuccin-latte .content table thead td,html.theme--catppuccin-latte .content table thead th{border-width:0 0 2px;color:#41445a}html.theme--catppuccin-latte .content table tfoot td,html.theme--catppuccin-latte .content table tfoot th{border-width:2px 0 0;color:#41445a}html.theme--catppuccin-latte .content table tbody tr:last-child td,html.theme--catppuccin-latte .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-latte .content .tabs li+li{margin-top:0}html.theme--catppuccin-latte .content.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-latte .content.is-normal{font-size:1rem}html.theme--catppuccin-latte .content.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .content.is-large{font-size:1.5rem}html.theme--catppuccin-latte .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-latte .icon.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-latte .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-latte .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-latte .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-latte .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-latte .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-latte div.icon-text{display:flex}html.theme--catppuccin-latte .image,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-latte .image img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-latte .image img.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-latte .image.is-fullwidth,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-latte .image.is-square img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-latte .image.is-square .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-latte .image.is-1by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-latte .image.is-1by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-latte .image.is-5by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-latte .image.is-5by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-latte .image.is-4by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-latte .image.is-4by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-latte .image.is-3by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-latte .image.is-5by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-latte .image.is-5by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-latte .image.is-16by9 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-latte .image.is-16by9 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-latte .image.is-2by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-latte .image.is-2by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-latte .image.is-3by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-latte 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img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-latte .image.is-3by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-latte .image.is-9by16 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-latte .image.is-9by16 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-latte .image.is-1by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-latte .image.is-1by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-latte .image.is-1by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-latte .image.is-1by3 .has-ratio,html.theme--catppuccin-latte 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.button.is-white:active,html.theme--catppuccin-latte .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--catppuccin-latte .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted:hover,html.theme--catppuccin-latte .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--catppuccin-latte .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-white.is-outlined:hover,html.theme--catppuccin-latte .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-white.is-outlined:focus,html.theme--catppuccin-latte .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:hover,html.theme--catppuccin-latte .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus,html.theme--catppuccin-latte .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus:not(:active),html.theme--catppuccin-latte .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus:not(:active),html.theme--catppuccin-latte .content kbd.button:focus:not(:active),html.theme--catppuccin-latte .button.is-dark.is-focused:not(:active),html.theme--catppuccin-latte .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(204,208,218,0.25)}html.theme--catppuccin-latte .button.is-dark:active,html.theme--catppuccin-latte .content kbd.button:active,html.theme--catppuccin-latte .button.is-dark.is-active,html.theme--catppuccin-latte .content kbd.button.is-active{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark[disabled],html.theme--catppuccin-latte .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:#ccd0da;box-shadow:none}html.theme--catppuccin-latte .button.is-dark.is-inverted,html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte 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.button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte 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.file.is-link.is-active .file-cta{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info .file-cta{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info:hover .file-cta,html.theme--catppuccin-latte .file.is-info.is-hovered .file-cta{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info:focus .file-cta,html.theme--catppuccin-latte .file.is-info.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(23,146,153,0.25);color:#fff}html.theme--catppuccin-latte .file.is-info:active .file-cta,html.theme--catppuccin-latte .file.is-info.is-active .file-cta{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success .file-cta{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:hover .file-cta,html.theme--catppuccin-latte .file.is-success.is-hovered .file-cta{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:focus .file-cta,html.theme--catppuccin-latte .file.is-success.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(64,160,43,0.25);color:#fff}html.theme--catppuccin-latte .file.is-success:active .file-cta,html.theme--catppuccin-latte .file.is-success.is-active .file-cta{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning .file-cta{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:hover .file-cta,html.theme--catppuccin-latte .file.is-warning.is-hovered .file-cta{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:focus .file-cta,html.theme--catppuccin-latte .file.is-warning.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(223,142,29,0.25);color:#fff}html.theme--catppuccin-latte .file.is-warning:active .file-cta,html.theme--catppuccin-latte .file.is-warning.is-active .file-cta{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger .file-cta{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger:hover .file-cta,html.theme--catppuccin-latte .file.is-danger.is-hovered .file-cta{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger:focus .file-cta,html.theme--catppuccin-latte .file.is-danger.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(210,15,57,0.25);color:#fff}html.theme--catppuccin-latte .file.is-danger:active .file-cta,html.theme--catppuccin-latte .file.is-danger.is-active .file-cta{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.file{font-size:.75rem}html.theme--catppuccin-latte .file.is-normal{font-size:1rem}html.theme--catppuccin-latte .file.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .file.is-medium .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-large{font-size:1.5rem}html.theme--catppuccin-latte .file.is-large .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.has-name .file-cta{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .file.has-name .file-name{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .file.has-name.is-empty .file-cta{border-radius:.4em}html.theme--catppuccin-latte .file.has-name.is-empty .file-name{display:none}html.theme--catppuccin-latte .file.is-boxed .file-label{flex-direction:column}html.theme--catppuccin-latte .file.is-boxed .file-cta{flex-direction:column;height:auto;padding:1em 3em}html.theme--catppuccin-latte .file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth .control{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.is-grouped>.control{flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped>.control:not(:last-child){margin-bottom:0;margin-right:.75rem}html.theme--catppuccin-latte .field.is-grouped>.control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.is-grouped.is-grouped-centered{justify-content:center}html.theme--catppuccin-latte .field.is-grouped.is-grouped-right{justify-content:flex-end}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline{flex-wrap:wrap}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:last-child,html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:last-child{margin-bottom:-0.75rem}html.theme--catppuccin-latte 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.icon:only-child,html.theme--catppuccin-latte .navbar-link .icon:only-child{margin-left:-0.25rem;margin-right:-0.25rem}html.theme--catppuccin-latte a.navbar-item,html.theme--catppuccin-latte .navbar-link{cursor:pointer}html.theme--catppuccin-latte a.navbar-item:focus,html.theme--catppuccin-latte a.navbar-item:focus-within,html.theme--catppuccin-latte a.navbar-item:hover,html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link:focus,html.theme--catppuccin-latte .navbar-link:focus-within,html.theme--catppuccin-latte .navbar-link:hover,html.theme--catppuccin-latte .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}html.theme--catppuccin-latte .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .navbar-item img{max-height:1.75rem}html.theme--catppuccin-latte .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-latte .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .navbar-item.is-tab{border-bottom:1px solid transparent;min-height:4rem;padding-bottom:calc(0.5rem - 1px)}html.theme--catppuccin-latte .navbar-item.is-tab:focus,html.theme--catppuccin-latte .navbar-item.is-tab:hover{background-color:rgba(0,0,0,0);border-bottom-color:#1e66f5}html.theme--catppuccin-latte .navbar-item.is-tab.is-active{background-color:rgba(0,0,0,0);border-bottom-color:#1e66f5;border-bottom-style:solid;border-bottom-width:3px;color:#1e66f5;padding-bottom:calc(0.5rem - 3px)}html.theme--catppuccin-latte .navbar-content{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .navbar-link:not(.is-arrowless){padding-right:2.5em}html.theme--catppuccin-latte .navbar-link:not(.is-arrowless)::after{border-color:#fff;margin-top:-0.375em;right:1.125em}html.theme--catppuccin-latte .navbar-dropdown{font-size:0.875rem;padding-bottom:0.5rem;padding-top:0.5rem}html.theme--catppuccin-latte .navbar-dropdown .navbar-item{padding-left:1.5rem;padding-right:1.5rem}html.theme--catppuccin-latte .navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-latte .navbar>.container{display:block}html.theme--catppuccin-latte .navbar-brand .navbar-item,html.theme--catppuccin-latte .navbar-tabs .navbar-item{align-items:center;display:flex}html.theme--catppuccin-latte .navbar-link::after{display:none}html.theme--catppuccin-latte .navbar-menu{background-color:#1e66f5;box-shadow:0 8px 16px rgba(10,10,10,0.1);padding:0.5rem 0}html.theme--catppuccin-latte .navbar-menu.is-active{display:block}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch,html.theme--catppuccin-latte .navbar.is-fixed-top-touch{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte .navbar.is-fixed-top-touch{top:0}html.theme--catppuccin-latte .navbar.is-fixed-top .navbar-menu,html.theme--catppuccin-latte .navbar.is-fixed-top-touch .navbar-menu{-webkit-overflow-scrolling:touch;max-height:calc(100vh - 4rem);overflow:auto}html.theme--catppuccin-latte html.has-navbar-fixed-top-touch,html.theme--catppuccin-latte body.has-navbar-fixed-top-touch{padding-top:4rem}html.theme--catppuccin-latte html.has-navbar-fixed-bottom-touch,html.theme--catppuccin-latte body.has-navbar-fixed-bottom-touch{padding-bottom:4rem}}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .navbar,html.theme--catppuccin-latte .navbar-menu,html.theme--catppuccin-latte .navbar-start,html.theme--catppuccin-latte .navbar-end{align-items:stretch;display:flex}html.theme--catppuccin-latte .navbar{min-height:4rem}html.theme--catppuccin-latte .navbar.is-spaced{padding:1rem 2rem}html.theme--catppuccin-latte .navbar.is-spaced .navbar-start,html.theme--catppuccin-latte .navbar.is-spaced .navbar-end{align-items:center}html.theme--catppuccin-latte .navbar.is-spaced a.navbar-item,html.theme--catppuccin-latte .navbar.is-spaced .navbar-link{border-radius:.4em}html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item:focus,html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item:hover,html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item.is-active,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link:focus,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link:hover,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link.is-active{background-color:transparent !important}html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link,html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link,html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within 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.navbar-dropdown.is-boxed,.navbar.is-spaced html.theme--catppuccin-latte .navbar-item.is-hoverable:hover .navbar-dropdown,html.theme--catppuccin-latte .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed{opacity:1;pointer-events:auto;transform:translateY(0)}html.theme--catppuccin-latte .navbar-menu{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .navbar-start{justify-content:flex-start;margin-right:auto}html.theme--catppuccin-latte .navbar-end{justify-content:flex-end;margin-left:auto}html.theme--catppuccin-latte .navbar-dropdown{background-color:#1e66f5;border-bottom-left-radius:8px;border-bottom-right-radius:8px;border-top:1px solid rgba(0,0,0,0.2);box-shadow:0 8px 8px rgba(10,10,10,0.1);display:none;font-size:0.875rem;left:0;min-width:100%;position:absolute;top:100%;z-index:20}html.theme--catppuccin-latte .navbar-dropdown .navbar-item{padding:0.375rem 1rem;white-space:nowrap}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item{padding-right:3rem}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:focus,html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#8c8fa1}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}.navbar.is-spaced html.theme--catppuccin-latte .navbar-dropdown,html.theme--catppuccin-latte .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-latte .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-latte .navbar-divider{display:block}html.theme--catppuccin-latte .navbar>.container .navbar-brand,html.theme--catppuccin-latte .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-latte .navbar>.container .navbar-menu,html.theme--catppuccin-latte .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop,html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{top:0}html.theme--catppuccin-latte html.has-navbar-fixed-top-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--catppuccin-latte html.has-navbar-fixed-bottom-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-top,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-bottom,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link.is-active{color:#1e66f5}html.theme--catppuccin-latte a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-latte .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-latte .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-latte .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-latte .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-latte .pagination.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-latte .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-latte .pagination.is-rounded .pagination-previous,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-latte .pagination.is-rounded .pagination-next,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-latte .pagination.is-rounded .pagination-link,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-latte .pagination,html.theme--catppuccin-latte .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link{border-color:#acb0be;color:#1e66f5;min-width:2.5em}html.theme--catppuccin-latte .pagination-previous:hover,html.theme--catppuccin-latte .pagination-next:hover,html.theme--catppuccin-latte .pagination-link:hover{border-color:#9ca0b0;color:#04a5e5}html.theme--catppuccin-latte .pagination-previous:focus,html.theme--catppuccin-latte .pagination-next:focus,html.theme--catppuccin-latte .pagination-link:focus{border-color:#9ca0b0}html.theme--catppuccin-latte .pagination-previous:active,html.theme--catppuccin-latte .pagination-next:active,html.theme--catppuccin-latte .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--catppuccin-latte .pagination-previous[disabled],html.theme--catppuccin-latte .pagination-previous.is-disabled,html.theme--catppuccin-latte .pagination-next[disabled],html.theme--catppuccin-latte .pagination-next.is-disabled,html.theme--catppuccin-latte .pagination-link[disabled],html.theme--catppuccin-latte .pagination-link.is-disabled{background-color:#acb0be;border-color:#acb0be;box-shadow:none;color:#616587;opacity:0.5}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{padding-left:.75em;padding-right:.75em;white-space:nowrap}html.theme--catppuccin-latte .pagination-link.is-current{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .pagination-ellipsis{color:#9ca0b0;pointer-events:none}html.theme--catppuccin-latte .pagination-list{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-list li{list-style:none}@media screen and (max-width: 768px){html.theme--catppuccin-latte .pagination{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-latte .pagination-previous{order:2}html.theme--catppuccin-latte .pagination-next{order:3}html.theme--catppuccin-latte .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-latte .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-latte .pagination.is-centered .pagination-list{justify-content:center;order:2}html.theme--catppuccin-latte .pagination.is-centered .pagination-next{order:3}html.theme--catppuccin-latte .pagination.is-right .pagination-previous{order:1}html.theme--catppuccin-latte .pagination.is-right .pagination-next{order:2}html.theme--catppuccin-latte .pagination.is-right .pagination-list{justify-content:flex-end;order:3}}html.theme--catppuccin-latte .panel{border-radius:8px;box-shadow:#171717;font-size:1rem}html.theme--catppuccin-latte .panel:not(:last-child){margin-bottom:1.5rem}html.theme--catppuccin-latte .panel.is-white .panel-heading{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .panel.is-white .panel-tabs a.is-active{border-bottom-color:#fff}html.theme--catppuccin-latte .panel.is-white .panel-block.is-active .panel-icon{color:#fff}html.theme--catppuccin-latte .panel.is-black .panel-heading{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .panel.is-black .panel-tabs a.is-active{border-bottom-color:#0a0a0a}html.theme--catppuccin-latte .panel.is-black .panel-block.is-active .panel-icon{color:#0a0a0a}html.theme--catppuccin-latte .panel.is-light .panel-heading{background-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .panel.is-light .panel-tabs a.is-active{border-bottom-color:#f5f5f5}html.theme--catppuccin-latte .panel.is-light .panel-block.is-active .panel-icon{color:#f5f5f5}html.theme--catppuccin-latte .panel.is-dark .panel-heading,html.theme--catppuccin-latte .content kbd.panel .panel-heading{background-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .panel.is-dark .panel-tabs a.is-active,html.theme--catppuccin-latte .content kbd.panel .panel-tabs a.is-active{border-bottom-color:#ccd0da}html.theme--catppuccin-latte .panel.is-dark .panel-block.is-active .panel-icon,html.theme--catppuccin-latte .content kbd.panel .panel-block.is-active .panel-icon{color:#ccd0da}html.theme--catppuccin-latte .panel.is-primary .panel-heading,html.theme--catppuccin-latte .docstring>section>a.panel.docs-sourcelink .panel-heading{background-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .panel.is-primary .panel-tabs a.is-active,html.theme--catppuccin-latte .docstring>section>a.panel.docs-sourcelink .panel-tabs a.is-active{border-bottom-color:#1e66f5}html.theme--catppuccin-latte .panel.is-primary .panel-block.is-active .panel-icon,html.theme--catppuccin-latte .docstring>section>a.panel.docs-sourcelink .panel-block.is-active .panel-icon{color:#1e66f5}html.theme--catppuccin-latte .panel.is-link .panel-heading{background-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .panel.is-link .panel-tabs a.is-active{border-bottom-color:#1e66f5}html.theme--catppuccin-latte .panel.is-link .panel-block.is-active .panel-icon{color:#1e66f5}html.theme--catppuccin-latte .panel.is-info 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kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato 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.button.is-link.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-link.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-focused{background-color:#8aadf4;border-color:#8aadf4;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8aadf4 #8aadf4 !important}html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link.is-outlined{background-color:transparent;border-color:#8aadf4;box-shadow:none;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8aadf4 #8aadf4 !important}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-light{background-color:#ecf2fd;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-link.is-light:hover,html.theme--catppuccin-macchiato .button.is-link.is-light.is-hovered{background-color:#e1eafc;border-color:transparent;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-link.is-light:active,html.theme--catppuccin-macchiato .button.is-link.is-light.is-active{background-color:#d5e2fb;border-color:transparent;color:#0e3b95}html.theme--catppuccin-macchiato 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.button.is-info{background-color:#8bd5ca;border-color:#8bd5ca;box-shadow:none}html.theme--catppuccin-macchiato .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato 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.button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused,html.theme--catppuccin-macchiato .buttons.has-addons .button:active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button:active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-macchiato .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-macchiato .buttons.is-centered{justify-content:center}html.theme--catppuccin-macchiato .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-macchiato .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-macchiato .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-macchiato .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-macchiato .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-macchiato .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-macchiato .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-macchiato .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content h6{color:#cad3f5;font-weight:600;line-height:1.125}html.theme--catppuccin-macchiato .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-macchiato .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-macchiato .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-macchiato .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-macchiato .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-macchiato .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-macchiato .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-macchiato .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-macchiato .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-macchiato .content blockquote{background-color:#1e2030;border-left:5px solid #5b6078;padding:1.25em 1.5em}html.theme--catppuccin-macchiato .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-macchiato .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-macchiato .content figure img{display:inline-block}html.theme--catppuccin-macchiato .content figure figcaption{font-style:italic}html.theme--catppuccin-macchiato .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-macchiato .content sup,html.theme--catppuccin-macchiato .content sub{font-size:75%}html.theme--catppuccin-macchiato .content table{width:100%}html.theme--catppuccin-macchiato .content table td,html.theme--catppuccin-macchiato .content table th{border:1px solid #5b6078;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-macchiato .content table th{color:#b5c1f1}html.theme--catppuccin-macchiato .content table th:not([align]){text-align:inherit}html.theme--catppuccin-macchiato .content table thead td,html.theme--catppuccin-macchiato .content table thead th{border-width:0 0 2px;color:#b5c1f1}html.theme--catppuccin-macchiato .content table tfoot td,html.theme--catppuccin-macchiato .content table tfoot th{border-width:2px 0 0;color:#b5c1f1}html.theme--catppuccin-macchiato .content table tbody tr:last-child td,html.theme--catppuccin-macchiato .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-macchiato .content .tabs li+li{margin-top:0}html.theme--catppuccin-macchiato .content.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-macchiato .content.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .content.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .content.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-macchiato .icon.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-macchiato .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-macchiato .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-macchiato .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-macchiato .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-macchiato .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-macchiato .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-macchiato div.icon-text{display:flex}html.theme--catppuccin-macchiato .image,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-macchiato .image img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-macchiato .image img.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-macchiato .image.is-fullwidth,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-macchiato .image.is-square img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-macchiato .image.is-square .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-macchiato .image.is-1by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-macchiato .image.is-1by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-macchiato .image.is-5by4 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-macchiato .image.is-5by4 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-macchiato .image.is-4by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-macchiato .image.is-4by3 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by2 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-macchiato .image.is-3by2 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-macchiato .image.is-5by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-macchiato .image.is-5by3 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-macchiato .image.is-16by9 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-macchiato .image.is-16by9 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-macchiato .image.is-2by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-macchiato .image.is-2by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-macchiato .image.is-3by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by1 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select[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato .textarea[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato .input[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[disabled]:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .select select:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .textarea:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .input:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input:-moz-placeholder{color:rgba(245,247,253,0.3)}html.theme--catppuccin-macchiato .select select[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato .textarea[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato .input[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[disabled]:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .select select:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .textarea:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .input:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input:-ms-input-placeholder{color:rgba(245,247,253,0.3)}html.theme--catppuccin-macchiato .textarea,html.theme--catppuccin-macchiato .input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input{box-shadow:inset 0 0.0625em 0.125em rgba(10,10,10,0.05);max-width:100%;width:100%}html.theme--catppuccin-macchiato .textarea[readonly],html.theme--catppuccin-macchiato .input[readonly],html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[readonly]{box-shadow:none}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato 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.button.is-link.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-link.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-focused{background-color:#8aadf4;border-color:#8aadf4;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8aadf4 #8aadf4 !important}html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link.is-outlined{background-color:transparent;border-color:#8aadf4;box-shadow:none;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8aadf4}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8aadf4 #8aadf4 !important}html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-link.is-light{background-color:#ecf2fd;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-link.is-light:hover,html.theme--catppuccin-macchiato .button.is-link.is-light.is-hovered{background-color:#e1eafc;border-color:transparent;color:#0e3b95}html.theme--catppuccin-macchiato .button.is-link.is-light:active,html.theme--catppuccin-macchiato .button.is-link.is-light.is-active{background-color:#d5e2fb;border-color:transparent;color:#0e3b95}html.theme--catppuccin-macchiato 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.button.is-info{background-color:#8bd5ca;border-color:#8bd5ca;box-shadow:none}html.theme--catppuccin-macchiato .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato 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.button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused,html.theme--catppuccin-macchiato .buttons.has-addons .button:active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button:active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-macchiato .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-macchiato .buttons.is-centered{justify-content:center}html.theme--catppuccin-macchiato .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-macchiato .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-macchiato .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-macchiato .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-macchiato .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-macchiato .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-macchiato .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-macchiato .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content h6{color:#cad3f5;font-weight:600;line-height:1.125}html.theme--catppuccin-macchiato .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-macchiato .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-macchiato .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-macchiato .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-macchiato .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-macchiato .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-macchiato .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-macchiato .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-macchiato .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-macchiato .content blockquote{background-color:#1e2030;border-left:5px solid #5b6078;padding:1.25em 1.5em}html.theme--catppuccin-macchiato .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-macchiato .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-macchiato .content figure img{display:inline-block}html.theme--catppuccin-macchiato .content figure figcaption{font-style:italic}html.theme--catppuccin-macchiato .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-macchiato .content sup,html.theme--catppuccin-macchiato .content sub{font-size:75%}html.theme--catppuccin-macchiato .content table{width:100%}html.theme--catppuccin-macchiato .content table td,html.theme--catppuccin-macchiato .content table th{border:1px solid #5b6078;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-macchiato .content table th{color:#b5c1f1}html.theme--catppuccin-macchiato .content table th:not([align]){text-align:inherit}html.theme--catppuccin-macchiato .content table thead td,html.theme--catppuccin-macchiato .content table thead th{border-width:0 0 2px;color:#b5c1f1}html.theme--catppuccin-macchiato .content table tfoot td,html.theme--catppuccin-macchiato .content table tfoot th{border-width:2px 0 0;color:#b5c1f1}html.theme--catppuccin-macchiato .content table tbody tr:last-child td,html.theme--catppuccin-macchiato .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-macchiato .content .tabs li+li{margin-top:0}html.theme--catppuccin-macchiato .content.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-macchiato .content.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .content.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .content.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-macchiato .icon.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-macchiato .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-macchiato .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-macchiato .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-macchiato .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-macchiato .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-macchiato .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-macchiato div.icon-text{display:flex}html.theme--catppuccin-macchiato .image,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-macchiato .image img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-macchiato .image img.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-macchiato .image.is-fullwidth,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-macchiato .image.is-square img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-macchiato .image.is-square .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-macchiato .image.is-1by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-macchiato .image.is-1by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-macchiato .image.is-5by4 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-macchiato .image.is-5by4 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-macchiato .image.is-4by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-macchiato .image.is-4by3 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by2 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-macchiato .image.is-3by2 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-macchiato .image.is-5by3 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-macchiato .image.is-5by3 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-macchiato .image.is-16by9 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-macchiato .image.is-16by9 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-macchiato .image.is-2by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-macchiato .image.is-2by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-macchiato .image.is-3by1 img,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-macchiato .image.is-3by1 .has-ratio,html.theme--catppuccin-macchiato #documenter .docs-sidebar .docs-logo>img.is-3by1 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select[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato .textarea[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato .input[disabled]:-moz-placeholder,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[disabled]:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .select select:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .textarea:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .input:-moz-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input:-moz-placeholder{color:rgba(245,247,253,0.3)}html.theme--catppuccin-macchiato .select select[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato .textarea[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato .input[disabled]:-ms-input-placeholder,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[disabled]:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .select select:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .textarea:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato .input:-ms-input-placeholder,fieldset[disabled] html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input:-ms-input-placeholder{color:rgba(245,247,253,0.3)}html.theme--catppuccin-macchiato .textarea,html.theme--catppuccin-macchiato .input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input{box-shadow:inset 0 0.0625em 0.125em rgba(10,10,10,0.05);max-width:100%;width:100%}html.theme--catppuccin-macchiato .textarea[readonly],html.theme--catppuccin-macchiato .input[readonly],html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input[readonly]{box-shadow:none}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table 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.content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha 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.button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:hover,html.theme--catppuccin-mocha .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:focus,html.theme--catppuccin-mocha .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:focus:not(:active),html.theme--catppuccin-mocha .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-mocha .button.is-black:active,html.theme--catppuccin-mocha .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:hover,html.theme--catppuccin-mocha .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus,html.theme--catppuccin-mocha .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus:not(:active),html.theme--catppuccin-mocha .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-mocha .button.is-light:active,html.theme--catppuccin-mocha .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-dark,html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:hover,html.theme--catppuccin-mocha .content kbd.button:hover,html.theme--catppuccin-mocha .button.is-dark.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-hovered{background-color:#2c2d3d;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus,html.theme--catppuccin-mocha .content kbd.button:focus,html.theme--catppuccin-mocha .button.is-dark.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus:not(:active),html.theme--catppuccin-mocha .content kbd.button:focus:not(:active),html.theme--catppuccin-mocha .button.is-dark.is-focused:not(:active),html.theme--catppuccin-mocha .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(49,50,68,0.25)}html.theme--catppuccin-mocha .button.is-dark:active,html.theme--catppuccin-mocha .content kbd.button:active,html.theme--catppuccin-mocha .button.is-dark.is-active,html.theme--catppuccin-mocha .content kbd.button.is-active{background-color:#262735;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark[disabled],html.theme--catppuccin-mocha .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:#313244;box-shadow:none}html.theme--catppuccin-mocha .button.is-dark.is-inverted,html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-dark.is-inverted[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-focused{background-color:#313244;border-color:#313244;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-primary,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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rgba(137,180,250,0.25)}html.theme--catppuccin-mocha .button.is-primary:active,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-mocha .button.is-primary.is-active,html.theme--catppuccin-mocha .docstring>section>a.button.is-active.docs-sourcelink{background-color:#71a4f9;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-primary[disabled],html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-primary,fieldset[disabled] html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:#89b4fa;box-shadow:none}html.theme--catppuccin-mocha .button.is-primary.is-inverted,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-inverted:hover,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-primary.is-inverted[disabled],html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-primary.is-inverted,fieldset[disabled] html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-loading::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-primary.is-outlined,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#89b4fa;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-outlined:hover,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-mocha .button.is-primary.is-outlined:focus,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#89b4fa;border-color:#89b4fa;color:#fff}html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-loading::after,html.theme--catppuccin-mocha 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha 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transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content 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span{font-style:inherit;font-weight:inherit}html.theme--documenter-dark strong{color:#f2f2f2;font-weight:700}html.theme--documenter-dark fieldset{border:none}html.theme--documenter-dark pre{-webkit-overflow-scrolling:touch;background-color:#282f2f;color:#fff;font-size:.875em;overflow-x:auto;padding:1.25rem 1.5rem;white-space:pre;word-wrap:normal}html.theme--documenter-dark pre code{background-color:transparent;color:currentColor;font-size:1em;padding:0}html.theme--documenter-dark table td,html.theme--documenter-dark table th{vertical-align:top}html.theme--documenter-dark table td:not([align]),html.theme--documenter-dark table th:not([align]){text-align:inherit}html.theme--documenter-dark table th{color:#f2f2f2}html.theme--documenter-dark .box{background-color:#343c3d;border-radius:8px;box-shadow:none;color:#fff;display:block;padding:1.25rem}html.theme--documenter-dark a.box:hover,html.theme--documenter-dark a.box:focus{box-shadow:0 0.5em 1em -0.125em rgba(10,10,10,0.1),0 0 0 1px 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.button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark 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.button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark 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kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark 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.navbar-link .icon:only-child{margin-left:-0.25rem;margin-right:-0.25rem}html.theme--documenter-dark a.navbar-item,html.theme--documenter-dark .navbar-link{cursor:pointer}html.theme--documenter-dark a.navbar-item:focus,html.theme--documenter-dark a.navbar-item:focus-within,html.theme--documenter-dark a.navbar-item:hover,html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link:focus,html.theme--documenter-dark .navbar-link:focus-within,html.theme--documenter-dark .navbar-link:hover,html.theme--documenter-dark .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}html.theme--documenter-dark .navbar-item{flex-grow:0;flex-shrink:0}html.theme--documenter-dark .navbar-item img{max-height:1.75rem}html.theme--documenter-dark .navbar-item.has-dropdown{padding:0}html.theme--documenter-dark .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .navbar-item.is-tab{border-bottom:1px solid 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:1rem;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--documenter-dark 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html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] 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html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark 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kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content 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html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary[disabled],html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;box-shadow:none}html.theme--documenter-dark .button.is-primary.is-inverted,html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-inverted:hover,html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--documenter-dark .button.is-primary.is-inverted[disabled],html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-outlined:hover,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;box-shadow:none;color:#375a7f}html.theme--documenter-dark 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.button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary.is-light,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink{background-color:#f1f5f9;color:#4d7eb2}html.theme--documenter-dark .button.is-primary.is-light:hover,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-light.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e8eef5;border-color:transparent;color:#4d7eb2}html.theme--documenter-dark .button.is-primary.is-light:active,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-light.is-active,html.theme--documenter-dark .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#dfe8f1;border-color:transparent;color:#4d7eb2}html.theme--documenter-dark .button.is-link{background-color:#1abc9c;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:hover,html.theme--documenter-dark .button.is-link.is-hovered{background-color:#18b193;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:focus,html.theme--documenter-dark .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:focus:not(:active),html.theme--documenter-dark .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(26,188,156,0.25)}html.theme--documenter-dark .button.is-link:active,html.theme--documenter-dark .button.is-link.is-active{background-color:#17a689;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link{background-color:#1abc9c;border-color:#1abc9c;box-shadow:none}html.theme--documenter-dark .button.is-link.is-inverted{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-outlined.is-focused{background-color:#1abc9c;border-color:#1abc9c;color:#fff}html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-link.is-light{background-color:#edfdf9;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:hover,html.theme--documenter-dark .button.is-link.is-light.is-hovered{background-color:#e2fbf6;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:active,html.theme--documenter-dark .button.is-link.is-light.is-active{background-color:#d7f9f3;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-info{background-color:#3c5dcd;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:hover,html.theme--documenter-dark .button.is-info.is-hovered{background-color:#3355c9;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:focus,html.theme--documenter-dark .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:focus:not(:active),html.theme--documenter-dark .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(60,93,205,0.25)}html.theme--documenter-dark .button.is-info:active,html.theme--documenter-dark .button.is-info.is-active{background-color:#3151bf;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info[disabled],fieldset[disabled] html.theme--documenter-dark 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.button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-info.is-light{background-color:#eff2fb;color:#3253c3}html.theme--documenter-dark .button.is-info.is-light:hover,html.theme--documenter-dark .button.is-info.is-light.is-hovered{background-color:#e5e9f8;border-color:transparent;color:#3253c3}html.theme--documenter-dark .button.is-info.is-light:active,html.theme--documenter-dark .button.is-info.is-light.is-active{background-color:#dae1f6;border-color:transparent;color:#3253c3}html.theme--documenter-dark .button.is-success{background-color:#259a12;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-success:hover,html.theme--documenter-dark .button.is-success.is-hovered{background-color:#228f11;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-success:focus,html.theme--documenter-dark 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.button.is-danger.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-outlined.is-focused{background-color:#cb3c33;border-color:#cb3c33;color:#fff}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#cb3c33;box-shadow:none;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 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.buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table 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Theme: Default Description: Original highlight.js style Author: (c) Ivan Sagalaev diff --git a/dev/index.html b/dev/index.html index 0162e5c..ca012d9 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/search_index.js b/dev/search_index.js index 1522d85..b0ba4d7 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"combinations.jl\"]","category":"page"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"factorials.jl\"]","category":"page"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"multinomials.jl\"]","category":"page"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"numbers.jl\"]","category":"page"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"partitions.jl\"]","category":"page"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"permutations.jl\"]","category":"page"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Modules = [Combinatorics]\nPages = [\"youngdiagrams.jl\"]","category":"page"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\n```jldoctest julia> levicivita([1, 2, 3]) 1\n\njulia> levicivita([3, 2, 1]) -1\n\njulia> levicivita([1, 1, 1]) 0\n\njulia> levicivita(collect(1:100)) 1\n\njulia> levicivita(ones(Int, 100)) 0 ````\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From 2d72e34ef5544b1beb199639e7f6adc4961edffe Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Wed, 30 Apr 2025 06:51:25 +0000 Subject: [PATCH 22/39] build based on c663926 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 38 ++++++++++++++++++++++++----------- dev/index.html | 2 +- dev/search_index.js | 2 +- 5 files changed, 30 insertions(+), 16 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index a676352..2794bce 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-04-30T06:42:58","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-04-30T06:51:21","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index db8d26f..c9c56bd 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index f0c07ba..c118a1a 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,19 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+
+julia> multinomial(2, 0)
+1
+
+julia> multinomial(1, 1)
+2
+
+julia> multinomial(0, 2)
+1
+
+julia> multinomial(10, 10, 10, 10)
+ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
+Stacktrace:
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -7,7 +21,7 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -24,7 +38,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -49,7 +63,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -66,7 +80,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -92,7 +106,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -103,7 +117,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -119,7 +133,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -134,9 +148,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index ca012d9..f6cc3a9 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/search_index.js b/dev/search_index.js index b0ba4d7..2ab04d5 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nMultinomial coefficient where n = sum(k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\n```jldoctest julia> levicivita([1, 2, 3]) 1\n\njulia> levicivita([3, 2, 1]) -1\n\njulia> levicivita([1, 1, 1]) 0\n\njulia> levicivita(collect(1:100)) 1\n\njulia> levicivita(ones(Int, 100)) 0 ````\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\n```jldoctest julia> levicivita([1, 2, 3]) 1\n\njulia> levicivita([3, 2, 1]) -1\n\njulia> levicivita([1, 1, 1]) 0\n\njulia> levicivita(collect(1:100)) 1\n\njulia> levicivita(ones(Int, 100)) 0 ````\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From dccd2073602fdefb1881c7c5e7505b9cc4c67b2f Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Wed, 30 Apr 2025 07:01:05 +0000 Subject: [PATCH 23/39] build based on 403dcb4 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 26 +++++++++++++------------- dev/index.html | 2 +- 4 files changed, 16 insertions(+), 16 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 2794bce..22100e3 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-04-30T06:51:21","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-04-30T07:01:01","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index c9c56bd..561f95d 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index c118a1a..a476845 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,7 +13,7 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -21,7 +21,7 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -38,7 +38,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -63,7 +63,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -80,7 +80,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -106,7 +106,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -117,7 +117,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -133,7 +133,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -148,9 +148,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index f6cc3a9..1ef8dd2 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From e6b2eec6b31ca026859b61704fe078f82c408155 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 2 May 2025 03:24:31 +0000 Subject: [PATCH 24/39] build based on e3278db --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 26 +++++++++++++------------- dev/index.html | 2 +- 4 files changed, 16 insertions(+), 16 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 22100e3..75f457e 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-04-30T07:01:01","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T03:24:28","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 561f95d..ac8b38a 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index a476845..62af104 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,7 +13,7 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 
 6-element Array{Any,1}:
  [2, 0, 0]
@@ -21,7 +21,7 @@
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -38,7 +38,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -63,7 +63,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -80,7 +80,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -106,7 +106,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -117,7 +117,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -133,7 +133,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -148,9 +148,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 1ef8dd2..76cbfe4 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From 206550a5dfbaedcda9a8aa972d7451d20c7ef02e Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 2 May 2025 04:48:06 +0000 Subject: [PATCH 25/39] build based on c92ed05 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 29 ++++++++++++++--------------- dev/index.html | 2 +- dev/search_index.js | 2 +- 5 files changed, 18 insertions(+), 19 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 75f457e..555a261 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T03:24:28","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T04:48:02","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index ac8b38a..53a516f 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 62af104..1dd18d1 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,15 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
-
-6-element Array{Any,1}:
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -38,7 +37,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -63,7 +62,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -80,7 +79,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -106,7 +105,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -117,7 +116,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -133,7 +132,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -148,9 +147,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 76cbfe4..1dcedbe 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/search_index.js b/dev/search_index.js index 2ab04d5..338e706 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n\n6-element Array{Any,1}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\n```jldoctest julia> levicivita([1, 2, 3]) 1\n\njulia> levicivita([3, 2, 1]) -1\n\njulia> levicivita([1, 1, 1]) 0\n\njulia> levicivita(collect(1:100)) 1\n\njulia> levicivita(ones(Int, 100)) 0 ````\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\n```jldoctest julia> levicivita([1, 2, 3]) 1\n\njulia> levicivita([3, 2, 1]) -1\n\njulia> levicivita([1, 1, 1]) 0\n\njulia> levicivita(collect(1:100)) 1\n\njulia> levicivita(ones(Int, 100)) 0 ````\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From 37010de791ef4f4ed459b6c858b628451fde76fd Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 2 May 2025 04:51:41 +0000 Subject: [PATCH 26/39] build based on d1f949d --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 26 +++++++++++++------------- dev/index.html | 2 +- 4 files changed, 16 insertions(+), 16 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 555a261..3b889ba 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T04:48:02","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T04:51:37","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 53a516f..5c37b0d 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 1dd18d1..2f26ea6 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -37,7 +37,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -62,7 +62,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -79,7 +79,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -105,7 +105,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -116,7 +116,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -132,7 +132,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -147,9 +147,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 1dcedbe..4606040 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From 4fb6943ca8597c738e0feed34865fc725e0be5fd Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 2 May 2025 08:16:16 +0000 Subject: [PATCH 27/39] build based on 9bcadfa --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 39 +++++++++++++++++++++++------------ dev/index.html | 2 +- dev/search_index.js | 2 +- 5 files changed, 30 insertions(+), 17 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 3b889ba..e581139 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T04:51:37","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T08:16:12","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 5c37b0d..db13feb 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 2f26ea6..a865147 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,27 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            ```jldoctest julia> levicivita([1, 2, 3]) 1
                            julia> levicivita([3, 2, 1]) -1
                            julia> levicivita([1, 1, 1]) 0
                            julia> levicivita(collect(1:100)) 1
                            julia> levicivita(ones(Int, 100)) 0 ````
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
+1
+
+julia> levicivita([3, 2, 1])
+-1
+
+julia> levicivita([1, 1, 1])
+0
+
+julia> levicivita(collect(1:100))
+1
+
+julia> levicivita(ones(Int, 100))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -37,7 +50,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -62,7 +75,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -79,7 +92,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -105,7 +118,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -116,7 +129,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -132,7 +145,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -147,9 +160,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 4606040..57eff96 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/search_index.js b/dev/search_index.js index 338e706..b0756ee 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\n```jldoctest julia> levicivita([1, 2, 3]) 1\n\njulia> levicivita([3, 2, 1]) -1\n\njulia> levicivita([1, 1, 1]) 0\n\njulia> levicivita(collect(1:100)) 1\n\njulia> levicivita(ones(Int, 100)) 0 ````\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From 282e6cd56f7422c446d550df02065c800a97c812 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 2 May 2025 10:04:39 +0000 Subject: [PATCH 28/39] build based on 2ad84aa --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 28 ++++++++++++++-------------- dev/index.html | 2 +- 4 files changed, 17 insertions(+), 17 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index e581139..fadbee2 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T08:16:12","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T10:04:35","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index db13feb..48757d4 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index a865147..27fbc49 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -33,7 +33,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -50,7 +50,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -75,7 +75,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -92,7 +92,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -118,7 +118,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -129,7 +129,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -145,7 +145,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -160,9 +160,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 57eff96..c90bd32 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From 16e2aeee07dd57cf0615f53b9e387f333a2f9d14 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 3 May 2025 12:57:29 +0000 Subject: [PATCH 29/39] build based on 7afa48d --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 28 ++++++++++++++-------------- dev/index.html | 2 +- dev/objects.inv | Bin 941 -> 941 bytes 5 files changed, 17 insertions(+), 17 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index fadbee2..b3d9fcb 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-02T10:04:35","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-03T12:57:25","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 48757d4..e0b9d5c 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 27fbc49..4c33395 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -33,7 +33,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -50,7 +50,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -75,7 +75,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -92,7 +92,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -118,7 +118,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -129,7 +129,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -145,7 +145,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -160,9 +160,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index c90bd32..eeb3398 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/objects.inv b/dev/objects.inv index 6000cc2330a88716c77e59d150eac83b7bd35b8d..b4545639e62417667118f427994b6d68d2fc3c41 100644 GIT binary patch delta 12 TcmZ3>zLtH02cz*u&lF|=8(jm| delta 12 TcmZ3>zLtH02cywO&lF|=8(0I? From 6a73499bd4af2cf4b0b2160bf56b2382b5b6b942 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 3 May 2025 14:02:42 +0000 Subject: [PATCH 30/39] build based on ab33a23 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 28 ++++++++++++++-------------- dev/index.html | 2 +- 4 files changed, 17 insertions(+), 17 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index b3d9fcb..aa944db 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-03T12:57:25","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-03T14:02:38","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index e0b9d5c..282ffed 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 4c33395..7b33e2a 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -33,7 +33,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -50,7 +50,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -75,7 +75,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -92,7 +92,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -118,7 +118,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -129,7 +129,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -145,7 +145,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -160,9 +160,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index eeb3398..4806836 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From 86ba6f68fb3d25f845a0d95e3a7eac438196a922 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 3 May 2025 14:09:27 +0000 Subject: [PATCH 31/39] build based on 7afa48d --- index.html | 2 +- stable | 1 + v1 | 1 + v1.0 | 1 + v1.0.3/.documenter-siteinfo.json | 1 + v1.0.3/README_old/index.html | 2 + v1.0.3/api/index.html | 168 +++ v1.0.3/assets/documenter.js | 1193 +++++++++++++++++ v1.0.3/assets/themes/catppuccin-frappe.css | 1 + v1.0.3/assets/themes/catppuccin-latte.css | 1 + v1.0.3/assets/themes/catppuccin-macchiato.css | 1 + v1.0.3/assets/themes/catppuccin-mocha.css | 1 + v1.0.3/assets/themes/documenter-dark.css | 7 + v1.0.3/assets/themes/documenter-light.css | 9 + v1.0.3/assets/themeswap.js | 84 ++ v1.0.3/assets/warner.js | 52 + v1.0.3/index.html | 2 + v1.0.3/objects.inv | Bin 0 -> 941 bytes v1.0.3/search_index.js | 3 + v1.0.3/siteinfo.js | 1 + versions.js | 6 +- 21 files changed, 1534 insertions(+), 3 deletions(-) create mode 120000 stable create mode 120000 v1 create mode 120000 v1.0 create mode 100644 v1.0.3/.documenter-siteinfo.json create mode 100644 v1.0.3/README_old/index.html create mode 100644 v1.0.3/api/index.html create mode 100644 v1.0.3/assets/documenter.js create mode 100644 v1.0.3/assets/themes/catppuccin-frappe.css create mode 100644 v1.0.3/assets/themes/catppuccin-latte.css create mode 100644 v1.0.3/assets/themes/catppuccin-macchiato.css create mode 100644 v1.0.3/assets/themes/catppuccin-mocha.css create mode 100644 v1.0.3/assets/themes/documenter-dark.css create mode 100644 v1.0.3/assets/themes/documenter-light.css create mode 100644 v1.0.3/assets/themeswap.js create mode 100644 v1.0.3/assets/warner.js create mode 100644 v1.0.3/index.html create mode 100644 v1.0.3/objects.inv create mode 100644 v1.0.3/search_index.js create mode 100644 v1.0.3/siteinfo.js diff --git a/index.html b/index.html index 1a6cc11..6a5afc3 100644 --- a/index.html +++ b/index.html @@ -1,2 +1,2 @@ - + diff --git a/stable b/stable new file mode 120000 index 0000000..13637f4 --- /dev/null +++ b/stable @@ -0,0 +1 @@ +v1.0.3 \ No newline at end of file diff --git a/v1 b/v1 new file mode 120000 index 0000000..13637f4 --- /dev/null +++ b/v1 @@ -0,0 +1 @@ +v1.0.3 \ No newline at end of file diff --git a/v1.0 b/v1.0 new file mode 120000 index 0000000..13637f4 --- /dev/null +++ b/v1.0 @@ -0,0 +1 @@ +v1.0.3 \ No newline at end of file diff --git a/v1.0.3/.documenter-siteinfo.json b/v1.0.3/.documenter-siteinfo.json new file mode 100644 index 0000000..d0b3d7a --- /dev/null +++ b/v1.0.3/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-03T14:09:23","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/v1.0.3/README_old/index.html b/v1.0.3/README_old/index.html new file mode 100644 index 0000000..aaea850 --- /dev/null +++ b/v1.0.3/README_old/index.html @@ -0,0 +1,2 @@ + +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/v1.0.3/api/index.html b/v1.0.3/api/index.html new file mode 100644 index 0000000..5da9773 --- /dev/null +++ b/v1.0.3/api/index.html @@ -0,0 +1,168 @@ + +API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+
+julia> multinomial(2, 0)
+1
+
+julia> multinomial(1, 1)
+2
+
+julia> multinomial(0, 2)
+1
+
+julia> multinomial(10, 10, 10, 10)
+ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
+Stacktrace:
+[...]

                            External links

                            source

                            Multinomials

                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)

                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.

                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:

                            julia> collect(multiexponents(3, 2))
+6-element Vector{Vector{Int64}}:
+ [2, 0, 0]
+ [1, 1, 0]
+ [1, 0, 1]
+ [0, 2, 0]
+ [0, 1, 1]
+ [0, 0, 2]
                            source

                            Numbers

                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)

                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number

                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)

                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number

                            source

                            Partitions

                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)

                            List the partitions of the integer n.

                            Note

                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.

                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)

                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).

                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)

                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).

                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)

                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).

                            source
                            Combinatorics.partitions — Method
                            partitions(n)

                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).

                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)

                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.

                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that

                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$

                            for integers $n_1$, $n_2$, $n_3$.

                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
+1
+
+julia> levicivita([3, 2, 1])
+-1
+
+julia> levicivita([1, 1, 1])
+0
+
+julia> levicivita(collect(1:100))
+1
+
+julia> levicivita(ones(Int, 100))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a with possibly duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
+6-element Vector{Vector{Int64}}:
+ [1, 1]
+ [1, 1]
+ [1, 1]
+ [1, 1]
+ [1, 1]
+ [1, 1]
+
+julia> collect(multiset_permutations([1,1,1], 2))
+1-element Vector{Vector{Int64}}:
+ [1, 1]
+
+julia> collect(multiset_permutations([1,1,2], 3))
+3-element Vector{Vector{Int64}}:
+ [1, 1, 2]
+ [1, 2, 1]
+ [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)

                            In-place version of nthperm; the array a is overwritten.

                            Examples

                            julia> a = [1, 2, 3];
+
+julia> collect(permutations(a))
+6-element Vector{Vector{Int64}}:
+ [1, 2, 3]
+ [1, 3, 2]
+ [2, 1, 3]
+ [2, 3, 1]
+ [3, 1, 2]
+ [3, 2, 1]
+
+julia> nthperm!(a, 3); a
+3-element Vector{Int64}:
+ 2
+ 1
+ 3
+
+julia> nthperm!(a, 4); a
+3-element Vector{Int64}:
+ 1
+ 3
+ 2
+
+julia> nthperm!(a, 0)
+ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
+2-element Vector{Vector{Int64}}:
+ [1, 2]
+ [2, 1]
+
+julia> nthperm([1,2], 1)
+2-element Vector{Int64}:
+ 1
+ 2
+
+julia> nthperm([1,2], 2)
+2-element Vector{Int64}:
+ 2
+ 1
+
+julia> nthperm([1,2], 3)
+ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
+4
+
+julia> collect(permutations([1, 2, 3]))
+6-element Vector{Vector{Int64}}:
+ [1, 2, 3]
+ [1, 3, 2]
+ [2, 1, 3]
+ [2, 3, 1]
+ [3, 1, 2]
+ [3, 2, 1]
+
+julia> nthperm([1, 2, 3])
+1
+
+julia> nthperm([3, 2, 1])
+6
+
+julia> nthperm([1, 1, 1])
+ERROR: ArgumentError: argument is not a permutation
+[...]
+
+julia> nthperm(collect(1:10))
+1
+
+julia> nthperm(collect(10:-1:1))
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
+0
+
+julia> parity([3, 2, 1])
+1
+
+julia> parity([1, 1, 1])
+ERROR: ArgumentError: Not a permutation
+[...]
+
+julia> parity((collect(1:100)))
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+6-element Vector{Tuple{Int64, Any}}:
+ (-1, Vector{Int64}[])
+ (0, [Int64[]])
+ (1, [[1], [2], [3]])
+ (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))
+ (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))
+ (4, Vector{Int64}[])
+
+julia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]
+6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:
+ (-1, [])
+ (0, [[]])
+ (1, [[1], [2], [3]])
+ (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
+ (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
+Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
+
+julia> collect(permutations(1:2))
+2-element Vector{Vector{Int64}}:
+ [1, 2]
+ [2, 1]
+
+julia> collect(permutations(1:3))
+6-element Vector{Vector{Int64}}:
+ [1, 2, 3]
+ [1, 3, 2]
+ [2, 1, 3]
+ [2, 3, 1]
+ [3, 1, 2]
+ [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
+"The computational complexity of rules for the character table of Sn",
+Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/v1.0.3/assets/documenter.js b/v1.0.3/assets/documenter.js new file mode 100644 index 0000000..7787aff --- /dev/null +++ b/v1.0.3/assets/documenter.js @@ -0,0 +1,1193 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on( + "click", + ".docstring .docstring-article-toggle-button", + function () { + let articleToggleTitle = "Expand docstring"; + const parent = $(this).parent(); + + debounce(() => { + if (parent.siblings("section").is(":visible")) { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + parent + .children(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + parent.siblings("section").slideToggle(); + }); + } +); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + + setTimeout(function () { + if (window.location.hash) { + const targetId = window.location.hash.substring(1); + const targetElement = document.getElementById(targetId); + + if (targetElement) { + targetElement.scrollIntoView({ + behavior: "smooth", + block: "center", + }); + } + } + }, 100); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
                            `; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
                            +
                            ${escape(result.title)}
                            +
                            ${result.category}
                            +
                            +

                            + ${display_result} +

                            +
                            + ${display_link} +
                            +                             + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + combineWith: "AND", + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +/////// SEARCH MAIN /////// + +function runSearchMainCode() { + // `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! + const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), + ]; + const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; + const worker_blob = new Blob([worker_str], { type: "text/javascript" }); + const worker = new Worker(URL.createObjectURL(worker_blob)); + + // Whether the worker is currently handling a search. This is a boolean + // as the worker only ever handles 1 or 0 searches at a time. + var worker_is_running = false; + + // The last search text that was sent to the worker. This is used to determine + // if the worker should be launched again when it reports back results. + var last_search_text = ""; + + // The results of the last search. This, in combination with the state of the filters + // in the DOM, is used compute the results to display on calls to update_search. + var unfiltered_results = []; + + // Which filter is currently selected + var selected_filter = ""; + + document.addEventListener("reset-filter", function () { + selected_filter = ""; + update_search(); + }); + + //update the url with search query + function updateSearchURL(query) { + const url = new URL(window.location); + + if (query && query.trim() !== "") { + url.searchParams.set("q", query); + } else { + // remove the 'q' param if it exists + if (url.searchParams.has("q")) { + url.searchParams.delete("q"); + } + } + + // Add or remove the filter parameter based on selected_filter + if (selected_filter && selected_filter.trim() !== "") { + url.searchParams.set("filter", selected_filter); + } else { + // remove the 'filter' param if it exists + if (url.searchParams.has("filter")) { + url.searchParams.delete("filter"); + } + } + + // Only update history if there are parameters, otherwise use the base URL + if (url.search) { + window.history.replaceState({}, "", url); + } else { + window.history.replaceState({}, "", url.pathname + url.hash); + } + } + + $(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } + }); + + function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + updateSearchURL(last_search_text); + worker.postMessage(last_search_text); + } + + worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); + }; + + $(document).on("click", ".search-filter", function () { + let search_input = $(".documenter-search-input"); + let cursor_position = search_input[0].selectionStart; + + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); + + search_input.focus(); + search_input.setSelectionRange(cursor_position, cursor_position); + }); + + /** + * Make/Update the search component + */ + function update_search() { + let querystring = $(".documenter-search-input").val(); + updateSearchURL(querystring); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
                            `; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
                            ${count_str}
                            `; + + search_result_container = ` +
                            + ${modal_filters} + ${search_divider} + ${result_count} +
                            + ${search_results} +
                            +
                            + `; + } else { + search_result_container = ` +
                            + ${modal_filters} + ${search_divider} +
                            0 result(s)
                            +
                            +
                            No result found!
                            + `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
                            Type something to get started!
                            + `); + } + } + + //url param checking + function checkURLForSearch() { + const urlParams = new URLSearchParams(window.location.search); + const searchQuery = urlParams.get("q"); + const filterParam = urlParams.get("filter"); + + // Set the selected filter if present in URL + if (filterParam) { + selected_filter = filterParam.toLowerCase(); + } + + // Trigger input event if there's a search query to perform the search + if (searchQuery) { + $(".documenter-search-input").val(searchQuery).trigger("input"); + } + } + setTimeout(checkURLForSearch, 100); + + /** + * Make the modal filter html + * + * @returns string + */ + function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
                            + Filters: + ${str} +
                            `; + } +} + +function waitUntilSearchIndexAvailable() { + // It is possible that the documenter.js script runs before the page + // has finished loading and documenterSearchIndex gets defined. + // So we need to wait until the search index actually loads before setting + // up all the search-related stuff. + if (typeof documenterSearchIndex !== "undefined") { + runSearchMainCode(); + } else { + console.warn("Search Index not available, waiting"); + setTimeout(waitUntilSearchIndexAvailable, 1000); + } +} + +// The actual entry point to the search code +waitUntilSearchIndexAvailable(); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` +
                            +
                            +

                            + + + + + +

                            +
                            +
                            + +
                            +
                            + `; + + let initial_search_body = ` +
                            Type something to get started!
                            + `; + + let search_modal_footer = ` +
                            + + Ctrl + + / to search + + esc to close +
                            + `; + + $(document.body).append( + ` + + ` + ); + + function checkURLForSearch() { + const urlParams = new URLSearchParams(window.location.search); + const searchQuery = urlParams.get("q"); + + if (searchQuery) { + //only if there is a search query, open the modal + openModal(); + } + } + + //this function will be called whenever the page will load + checkURLForSearch(); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + //event listener for the link icon to copy the URL + $(document).on("click", ".link-icon", function () { + const currentUrl = window.location.href; + + navigator.clipboard + .writeText(currentUrl) + .then(() => { + const $linkIcon = $(this); + $linkIcon.removeClass("fa-link").addClass("fa-check"); + + setTimeout(() => { + $linkIcon.removeClass("fa-check").addClass("fa-link"); + }, 1000); + }) + .catch((err) => { + console.error("Failed to copy URL: ", err); + }); + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
                            Type something to get started!
                            + `; + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + + document.dispatchEvent(new CustomEvent("reset-filter")); + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/v1.0.3/assets/themes/catppuccin-frappe.css b/v1.0.3/assets/themes/catppuccin-frappe.css new file mode 100644 index 0000000..5a15fed --- /dev/null +++ b/v1.0.3/assets/themes/catppuccin-frappe.css @@ -0,0 +1 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.button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe 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.button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe 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.button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe 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.button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe 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.button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text 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a.navbar-item:focus,html.theme--catppuccin-frappe a.navbar-item:focus-within,html.theme--catppuccin-frappe a.navbar-item:hover,html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link:focus,html.theme--catppuccin-frappe .navbar-link:focus-within,html.theme--catppuccin-frappe .navbar-link:hover,html.theme--catppuccin-frappe .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#8caaee}html.theme--catppuccin-frappe .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .navbar-item img{max-height:1.75rem}html.theme--catppuccin-frappe .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-frappe .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .navbar-item.is-tab{border-bottom:1px solid transparent;min-height:4rem;padding-bottom:calc(0.5rem - 1px)}html.theme--catppuccin-frappe .navbar-item.is-tab:focus,html.theme--catppuccin-frappe .navbar-item.is-tab:hover{background-color:rgba(0,0,0,0);border-bottom-color:#8caaee}html.theme--catppuccin-frappe .navbar-item.is-tab.is-active{background-color:rgba(0,0,0,0);border-bottom-color:#8caaee;border-bottom-style:solid;border-bottom-width:3px;color:#8caaee;padding-bottom:calc(0.5rem - 3px)}html.theme--catppuccin-frappe .navbar-content{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .navbar-link:not(.is-arrowless){padding-right:2.5em}html.theme--catppuccin-frappe .navbar-link:not(.is-arrowless)::after{border-color:#fff;margin-top:-0.375em;right:1.125em}html.theme--catppuccin-frappe .navbar-dropdown{font-size:0.875rem;padding-bottom:0.5rem;padding-top:0.5rem}html.theme--catppuccin-frappe .navbar-dropdown .navbar-item{padding-left:1.5rem;padding-right:1.5rem}html.theme--catppuccin-frappe .navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-frappe 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#838ba7}html.theme--catppuccin-frappe .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#8caaee}.navbar.is-spaced html.theme--catppuccin-frappe .navbar-dropdown,html.theme--catppuccin-frappe .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-frappe .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-frappe .navbar-divider{display:block}html.theme--catppuccin-frappe .navbar>.container .navbar-brand,html.theme--catppuccin-frappe .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-frappe .navbar>.container .navbar-menu,html.theme--catppuccin-frappe .container>.navbar 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-previous,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-frappe .pagination.is-rounded .pagination-next,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-link,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-frappe .pagination,html.theme--catppuccin-frappe .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link{border-color:#626880;color:#8caaee;min-width:2.5em}html.theme--catppuccin-frappe .pagination-previous:hover,html.theme--catppuccin-frappe .pagination-next:hover,html.theme--catppuccin-frappe .pagination-link:hover{border-color:#737994;color:#99d1db}html.theme--catppuccin-frappe .pagination-previous:focus,html.theme--catppuccin-frappe .pagination-next:focus,html.theme--catppuccin-frappe .pagination-link:focus{border-color:#737994}html.theme--catppuccin-frappe .pagination-previous:active,html.theme--catppuccin-frappe .pagination-next:active,html.theme--catppuccin-frappe .pagination-link:active{box-shadow:inset 0 1px 2px 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768px){html.theme--catppuccin-frappe .pagination{flex-wrap:wrap}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-frappe .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination-previous{order:2}html.theme--catppuccin-frappe .pagination-next{order:3}html.theme--catppuccin-frappe .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-frappe .pagination.is-centered 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a.is-active{border-bottom-color:#0a0a0a}html.theme--catppuccin-frappe .panel.is-black .panel-block.is-active .panel-icon{color:#0a0a0a}html.theme--catppuccin-frappe .panel.is-light .panel-heading{background-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .panel.is-light .panel-tabs a.is-active{border-bottom-color:#f5f5f5}html.theme--catppuccin-frappe .panel.is-light .panel-block.is-active .panel-icon{color:#f5f5f5}html.theme--catppuccin-frappe .panel.is-dark .panel-heading,html.theme--catppuccin-frappe .content kbd.panel .panel-heading{background-color:#414559;color:#fff}html.theme--catppuccin-frappe .panel.is-dark .panel-tabs a.is-active,html.theme--catppuccin-frappe .content kbd.panel .panel-tabs a.is-active{border-bottom-color:#414559}html.theme--catppuccin-frappe .panel.is-dark .panel-block.is-active .panel-icon,html.theme--catppuccin-frappe .content kbd.panel .panel-block.is-active .panel-icon{color:#414559}html.theme--catppuccin-frappe .panel.is-primary 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.button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus,html.theme--catppuccin-latte .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus:not(:active),html.theme--catppuccin-latte .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte 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.button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte 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kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-primary,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:hover,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte 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.docstring>section>a.button.is-active.docs-sourcelink{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary[disabled],html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-primary.is-inverted,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-inverted:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-latte 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.button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table th:not([align]){text-align:inherit}html.theme--catppuccin-latte .content table thead td,html.theme--catppuccin-latte .content table thead th{border-width:0 0 2px;color:#41445a}html.theme--catppuccin-latte .content table tfoot td,html.theme--catppuccin-latte .content table tfoot th{border-width:2px 0 0;color:#41445a}html.theme--catppuccin-latte .content table tbody tr:last-child td,html.theme--catppuccin-latte .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-latte .content .tabs li+li{margin-top:0}html.theme--catppuccin-latte .content.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-latte 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.file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte 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.field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth 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.field.is-grouped.is-grouped-multiline:not(:last-child){margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field.is-horizontal{display:flex}}html.theme--catppuccin-latte .field-label .label{font-size:inherit}@media screen and (max-width: 768px){html.theme--catppuccin-latte .field-label{margin-bottom:0.5rem}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-label{flex-basis:0;flex-grow:1;flex-shrink:0;margin-right:1.5rem;text-align:right}html.theme--catppuccin-latte .field-label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.field-label{font-size:.75rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-normal{padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-medium{font-size:1.25rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-large{font-size:1.5rem;padding-top:0.375em}}html.theme--catppuccin-latte .field-body .field 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form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-small~.icon{font-size:.75rem}html.theme--catppuccin-latte .control.has-icons-left .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-medium~.icon{font-size:1.25rem}html.theme--catppuccin-latte .control.has-icons-left .input.is-large~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input.is-large~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input.is-large~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-large~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-large~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input.is-large~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input.is-large~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-large~.icon{font-size:1.5rem}html.theme--catppuccin-latte .control.has-icons-left .icon,html.theme--catppuccin-latte .control.has-icons-right .icon{color:#acb0be;height:2.5em;pointer-events:none;position:absolute;top:0;width:2.5em;z-index:4}html.theme--catppuccin-latte 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.pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link{border-color:#acb0be;color:#1e66f5;min-width:2.5em}html.theme--catppuccin-latte .pagination-previous:hover,html.theme--catppuccin-latte .pagination-next:hover,html.theme--catppuccin-latte .pagination-link:hover{border-color:#9ca0b0;color:#04a5e5}html.theme--catppuccin-latte .pagination-previous:focus,html.theme--catppuccin-latte .pagination-next:focus,html.theme--catppuccin-latte .pagination-link:focus{border-color:#9ca0b0}html.theme--catppuccin-latte 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kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content 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.button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small 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.container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content 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ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table td,html.theme--catppuccin-mocha .content table th{border:1px solid #585b70;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-mocha .content table th{color:#b8c5ef}html.theme--catppuccin-mocha .content table th:not([align]){text-align:inherit}html.theme--catppuccin-mocha .content table thead td,html.theme--catppuccin-mocha .content table thead th{border-width:0 0 2px;color:#b8c5ef}html.theme--catppuccin-mocha .content table tfoot td,html.theme--catppuccin-mocha .content table tfoot th{border-width:2px 0 0;color:#b8c5ef}html.theme--catppuccin-mocha .content table tbody tr:last-child td,html.theme--catppuccin-mocha .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-mocha .content .tabs li+li{margin-top:0}html.theme--catppuccin-mocha .content.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-mocha .content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-mocha .image.is-square,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-mocha .image.is-1by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-mocha .image.is-5by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-mocha .image.is-4by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-mocha .image.is-3by2,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-mocha .image.is-5by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-mocha .image.is-16by9,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-mocha .image.is-2by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-mocha .image.is-3by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-mocha .image.is-4by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-mocha .image.is-3by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-mocha .image.is-2by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-mocha .image.is-3by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-mocha .image.is-9by16,html.theme--catppuccin-mocha #documenter 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.button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;box-shadow:none;color:#375a7f}html.theme--documenter-dark 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.button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-link.is-light{background-color:#edfdf9;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:hover,html.theme--documenter-dark .button.is-link.is-light.is-hovered{background-color:#e2fbf6;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:active,html.theme--documenter-dark 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.button.is-info.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#3c5dcd}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #3c5dcd #3c5dcd !important}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark 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.button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#259a12}html.theme--documenter-dark .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#259a12;color:#259a12}html.theme--documenter-dark .button.is-success.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-outlined.is-focused{background-color:#259a12;border-color:#259a12;color:#fff}html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #259a12 #259a12 !important}html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#259a12;box-shadow:none;color:#259a12}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#259a12}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #259a12 #259a12 !important}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-success.is-light{background-color:#effded;color:#2ec016}html.theme--documenter-dark .button.is-success.is-light:hover,html.theme--documenter-dark 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rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#f4c72f;box-shadow:none;color:#f4c72f}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f4c72f}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f4c72f #f4c72f !important}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-light{background-color:#fefaec;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:hover,html.theme--documenter-dark .button.is-warning.is-light.is-hovered{background-color:#fdf7e0;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:active,html.theme--documenter-dark .button.is-warning.is-light.is-active{background-color:#fdf3d3;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:hover,html.theme--documenter-dark .button.is-danger.is-hovered{background-color:#c13930;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus,html.theme--documenter-dark .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus:not(:active),html.theme--documenter-dark .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(203,60,51,0.25)}html.theme--documenter-dark .button.is-danger:active,html.theme--documenter-dark .button.is-danger.is-active{background-color:#b7362e;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:#cb3c33;box-shadow:none}html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#cb3c33;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered,html.theme--documenter-dark 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 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.buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark 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img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 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.docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--documenter-dark .image.is-4by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--documenter-dark .image.is-3by4,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--documenter-dark .image.is-2by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--documenter-dark .image.is-3by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--documenter-dark .image.is-9by16,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--documenter-dark .image.is-1by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--documenter-dark .image.is-1by3,html.theme--documenter-dark #documenter .docs-sidebar 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                            Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/v1.0.3/index.html b/v1.0.3/index.html new file mode 100644 index 0000000..54d1dce --- /dev/null +++ b/v1.0.3/index.html @@ -0,0 +1,2 @@ + +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/v1.0.3/objects.inv b/v1.0.3/objects.inv new file mode 100644 index 0000000000000000000000000000000000000000..b4545639e62417667118f427994b6d68d2fc3c41 GIT binary patch literal 941 zcmV;e15*4WAX9K?X>NERX>N99Zgg*Qc_4OWa&u{KZXhxWBOp+6Z)#;@bUGkIZ*5{} zZeet9a%p38E^2HFBOq2~a&u{KZaN?_E-)@L3L_v?Xk{RBWo=<;Ze(S0Aa78b#rNMXCQiPX<{x4c$}?QT~FIE6n*Dcc-r#T!dehW zXfLI(327iSmAzJOa%sFdcIG%hh4}9{A5G&pA5Jo<4{nls&dKrhu|t>#uPBn<~ zogwrCq$F&su3;g;JHjC;-&cQ6(Bk1133vhl%!Q-J2yY>MhT;v-416hQ6wkd-fI^zGF8L*Ub393aNl7>Y_F?{qVO&0>c9DFvGg%_7ktymz?jKZ^}0t76(Il zwemi+u%*DZ(jQ}a1*E6t)mc|+&(G2~KR+8V+i6|#-fCFa^ZZ3cI>-e5DQ0dW4K)T; zv6#bB#EnV?6UZ_ZfaE`?yGfh&#s2MO8x`GM))5*-J^YK4 zLtEAK9tt!B&G9B;OdC%G_5sv{)MvxMQG}_A``&?KRJJcP7fVbr>(5gyY^O;R6<$Nm zlp9*A+q7|AbveqLI(poc8Q8MO@(sj-U2l5YtDdgui7PR__y(kJLcr z=8LaBiO{NuQd3MFno_Y>vr57;)o{3y{moKTjZ%*EN;zZ=x9;v|gs~!B^N`QdW`eGX zD@!?RZ=VjU^c9)E&z?+gLQqZMt_iO1tl&F8YgCzpOFmQcWRD7aVO#a7*+Av8B^L&M~8@#+7hjx(Rx2alcM PJvY#L=S}htbo8YX@3p!p literal 0 HcmV?d00001 diff --git a/v1.0.3/search_index.js b/v1.0.3/search_index.js new file mode 100644 index 0000000..b0756ee --- /dev/null +++ b/v1.0.3/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +} diff --git a/v1.0.3/siteinfo.js b/v1.0.3/siteinfo.js new file mode 100644 index 0000000..ac26d7e --- /dev/null +++ b/v1.0.3/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v1.0.3"; diff --git a/versions.js b/versions.js index 4ec0f8f..db1f24e 100644 --- a/versions.js +++ b/versions.js @@ -1,5 +1,7 @@ var DOC_VERSIONS = [ + "stable", + "v1.0", "dev", ]; -var DOCUMENTER_NEWEST = "dev"; -var DOCUMENTER_STABLE = "dev"; +var DOCUMENTER_NEWEST = "v1.0.3"; +var DOCUMENTER_STABLE = "stable"; From 54a87267430c41fdd031cc14580afb43f569aef6 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Wed, 7 May 2025 11:36:26 +0000 Subject: [PATCH 32/39] build based on bbd5b1b --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 162 +++++++++++++++++++++++++++++++--- dev/index.html | 2 +- dev/objects.inv | Bin 941 -> 973 bytes dev/search_index.js | 2 +- 6 files changed, 152 insertions(+), 18 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index aa944db..35d6e5f 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-03T14:02:38","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-07T11:36:22","documenter_version":"1.10.2"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 282ffed..57181dc 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 7b33e2a..e10b690 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,148 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            List the partitions of the integer n.
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n, m)
                            Generate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            source
                            Combinatorics.partitions — Method
                            partitions(n)
                            Generate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Previous integer not greater than x that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
                            For integers $i_1$, $i_2$, $i_3$, this is equivalent to finding the largest $x$ such that
                            $i_1^{n_1} i_2^{n_2} i_3^{n_3} \leq x$
                            for integers $n_1$, $n_2$, $n_3$.
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
+2-element Vector{Vector{Int64}}:
+ [1, 1]
+ [2]
+
+julia> integer_partitions(3)
+3-element Vector{Vector{Int64}}:
+ [1, 1, 1]
+ [2, 1]
+ [3]
+
+julia> collect(partitions(3))
+3-element Vector{Vector{Int64}}:
+ [3]
+ [2, 1]
+ [1, 1, 1]
+
+julia> integer_partitions(-1)
+ERROR: DomainError with -1:
+n must be nonnegative
+Stacktrace:
+[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
+1-element Vector{Vector{Vector{Int64}}}:
+ [[1]]
+
+julia> ncpartitions(3)
+5-element Vector{Vector{Vector{Int64}}}:
+ [[1], [2], [3]]
+ [[1], [2, 3]]
+ [[1, 2], [3]]
+ [[1, 3], [2]]
+ [[1, 2, 3]]
+
+julia> catalannum(3)
+5
+
+julia> length(ncpartitions(6)) == catalannum(6)
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
+1-element Vector{Vector{Vector{Char}}}:
+ [['a'], ['b'], ['c']]
+
+julia> collect(partitions([1, 1, 1], 2))
+3-element Vector{Vector{Vector{Int64}}}:
+ [[1, 1], [1]]
+ [[1, 1], [1]]
+ [[1], [1, 1]]
+
+julia> collect(partitions(1:3, 2))
+3-element Vector{Vector{Vector{Int64}}}:
+ [[1, 2], [3]]
+ [[1, 3], [2]]
+ [[1], [2, 3]]
+
+julia> stirlings2(3, 2)
+3
+
+julia> length(partitions(1:10, 3)) == stirlings2(10, 3)
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
+2-element Vector{Vector{Vector{Int64}}}:
+ [[1, 1]]
+ [[1], [1]]
+
+julia> collect(partitions(-1:-1:-2))
+2-element Vector{Vector{Vector{Int64}}}:
+ [[-1, -2]]
+ [[-1], [-2]]
+
+julia> collect(partitions('a':'c'))
+5-element Vector{Vector{Vector{Char}}}:
+ [['a', 'b', 'c']]
+ [['a', 'b'], ['c']]
+ [['a', 'c'], ['b']]
+ [['a'], ['b', 'c']]
+ [['a'], ['b'], ['c']]
+
+julia> length(partitions(1:10)) == bellnum(10)
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
+5-element Vector{Vector{Int64}}:
+ [4]
+ [3, 1]
+ [2, 2]
+ [2, 1, 1]
+ [1, 1, 1, 1]
+
+julia> collect(partitions(4, 2))
+2-element Vector{Vector{Int64}}:
+ [3, 1]
+ [2, 2]
+
+julia> collect(partitions(4, 4))
+1-element Vector{Vector{Int64}}:
+ [1, 1, 1, 1]
+
+julia> collect(partitions(4, 5))
+Vector{Int64}[]
+
+julia> partitions(4, 0)
+ERROR: DomainError with (4, 0):
+n and m must be positive
+Stacktrace:
+[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
+2-element Vector{Vector{Int64}}:
+ [2]
+ [1, 1]
+
+julia> collect(partitions(3))
+3-element Vector{Vector{Int64}}:
+ [3]
+ [2, 1]
+ [1, 1, 1]
+
+julia> integer_partitions(3)
+3-element Vector{Vector{Int64}}:
+ [1, 1, 1]
+ [2, 1]
+ [3]
+
+julia> first(partitions(10))
+1-element Vector{Int64}:
+ 10
+
+julia> length(partitions(10))
+42
                            References
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.
                            This function computes the largest value y ≤ x that can be written as:
                            \[y = \prod a_i^{n_i}
+  = a_1^{n_1} a_2^{n_2} \cdots a_k^{n_k}
+  \leq x\]
                            where $n_i$ is a non-negative integer, k is the length of Vector a.
                            Examples
                            julia> prevprod([10], 1000)   # 1000 = 10^3
+1000
+
+julia> prevprod([2, 5], 30)   # 25 = 2^0 * 5^2
+25
+
+julia> prevprod([2, 3], 100)  # 96 = 2^5 * 3^1
+96
+
+julia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0
+1
                            source
                            Permutations
                            Combinatorics.levicivita — Method
                            levicivita(p)
                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.
                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.
                            Examples
                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -33,7 +167,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)
                            Generate all permutations of size t from an array a with possibly duplicated elements.
                            Examples
                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -50,7 +184,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)
                            In-place version of nthperm; the array a is overwritten.
                            Examples
                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -75,7 +209,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)
                            Compute the kth lexicographic permutation of the vector a.
                            Examples
                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -92,7 +226,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)
                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).
                            Examples
                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -118,7 +252,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)
                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.
                            Examples
                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -129,7 +263,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)
                            Generate all size t permutations of an indexable object a. Only works for a with defined length.  If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a
                            Examples
                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -145,7 +279,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)
                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.
                            Examples
                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -160,9 +294,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
+ [3, 2, 1]
                            source
                            Young diagrams
                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)
                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.
                            Implements the Murnaghan-Nakayama algorithm as described in:
                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)
                            Check whether the given skew diagram is a rim hook.
                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)
                            Compute the leg length for the given skew diagram.
                            Note
                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.
                            source
                            
+doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 4806836..665830e 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/objects.inv b/dev/objects.inv index b4545639e62417667118f427994b6d68d2fc3c41..3eff8cd7834d37409a27e948020dd7dacd9172db 100644 GIT binary patch delta 854 zcmV-c1F8J22h9hNgnw9FPunmQedkwr+Va-IC=*C%FQu>vX&^L}y;g2=X}mdh<~Trw z`0sN*8^`%@l1Y6?9N%+J?!7*CN|*<)D3ac#$6Yi(Md&+7N!U(}VIjdg!Xc?XSGOl< z`EZK_Jb?h_!qH=dcaYAZcndU{_48(VeRs3r)I0h33C)il6n_?xgtJJWm!PE+?&Dw! zqV4Hzsj_^Qjw>DWQb%K~u5`tNEn!%4LENZY@m)++8hAi3ZBvzJYMy7x&{xl7!QPRE zZ`e)5wR1jz2x8fZp}piWg=gZDXCm=@9fuU&mfJ`QMe_?1s<*F~w@ktg#QQt?O)mqG zKKD=#*A3-dTz~0cYQQ;LIcLip(z&=+KSNTGq&5P%aVrTa)Uo{x6^i-GZkv*h1>R$Z^?%aZ_m>`DDR5s~MUn`rmVUIT z);cA&D0w})EOQ&w*cWZ>#;J_YoXw(a@D z+soD}`n#;hG|G7R8z%?SdeR3d&=9nYw-IC7dfKr!pf;o-8wQRdOqJaaHWVYWd!e~l zVv5;to_b(6P3oxd8gizxp}D$E8#hH)t-P(HCx31vqxX+4_Zo1r>h>;E#1)R<_^J3h znm;ln{4LY4exITIN?j=5eDT%i9$J@HYKmz>Qz{BI>%=Tm4Tq8JHgi#Rm2#vbRg*Qc zb$5SC7%Sa1H~GwMX6Tx@vf{J$>C<7AzS8px@5%Hg1a$}QD{ymXjc=$1iWegNjewA1 zH&3;Y$sd9ifR^n&Rmo`L73cH^ylVduC@#4Vq5WJo`s6a~#1aa44h8p`yV$BbG=%ns gZE2X?EbLLI*e;k_enSTqUy#N3J delta 822 zcmV-61Ihf&2dxK?gnw6EPunmQedkwr+Va-IS`bKRFQu>vX&^L}y;g2=X}mdh<~Trw z`0qF$P2)HpPBN(vZjyV>$?^5ELzoAzD3ac#$6Yj?A@l>JBy6j$VIjdg!XYW&SAS2? z;^7tvcme^;g`>v^Zy|k#;tkN`sb4pX>${sZr{2luFKBx7pntH4B%DS1a|v4dz416hQ6wkd-fI^ zzGF8L*Ub3CC?#)EH7c5SVQt048$*w%kUgVr(G_u^@6cdJ4)gL+vM#Ac4>M-&{?xHYcbUb_%J0 zDC(j%GyU+lMgqeE?=Zu<=k^n?*O#2{ns3TC8x{vcd4IL?KD4l<3i86o)|S{oxa*`d|flYTOLqw`Y385)?b zkCPe@V}Dj}1*GTdt=}oTNt^b?{_SNO72RFd5gJ83{EL%ATh;U)3N!@G@g`zS8&3rG z0n~)lXT!izgsF=A-hpCNwl6dnOH48A&r>aIr%4kPUPI258(ON{v~gW^Im(+ldgMkj zc>iciuO5e-_Utl6T;T|gpY~r6(?_O+zhxR$?|&1NkJLcr=8LaBiO{NuQd3MFno_Y> zvr57;)o{3y{moKTjZ%*EN;zZ=x9;v|gs~!B^N`QdW`eGXD@!?RZ=VjU^c9)E&z?+g zLQqZMt_iO1tl&F8Yg zCoh+NCzepab11l1-^Etlp&>LkY(vB3aq;Q@q>eM6*$0oE;XOCddgo2@4|MdU62)ke AD*ylh diff --git a/dev/search_index.js b/dev/search_index.js index b0756ee..468a4ef 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. 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Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nList the partitions of the integer n.\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions. The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(s)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n, m)\n\nGenerate all arrays of m integers that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n)\n\nGenerate all integer arrays that sum to n. Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions. The number of partitions to generate can be efficiently computed using length(partitions(n)).\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nPrevious integer not greater than x that can be written as prod k_i^p_i for integers p_1, p_2, etc.\n\nFor integers i_1, i_2, i_3, this is equivalent to finding the largest x such that\n\ni_1^n_1 i_2^n_2 i_3^n_3 leq x\n\nfor integers n_1, n_2, n_3.\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings2-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Int, k::Int)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From 3eb6b93a040564cfa6a1deb3f9f5341a4c11da69 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 10 May 2025 04:07:15 +0000 Subject: [PATCH 33/39] build based on 9380656 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 42 ++++++++++----------- dev/assets/themes/catppuccin-frappe.css | 2 +- dev/assets/themes/catppuccin-latte.css | 2 +- dev/assets/themes/catppuccin-macchiato.css | 2 +- dev/assets/themes/catppuccin-mocha.css | 2 +- dev/assets/themes/documenter-dark.css | 2 +- dev/assets/themes/documenter-light.css | 2 +- dev/assets/warner.js | 26 ++++++++++--- dev/index.html | 2 +- dev/objects.inv | Bin 973 -> 979 bytes dev/search_index.js | 2 +- dev/siteinfo.js | 1 + 14 files changed, 53 insertions(+), 36 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 35d6e5f..bfe116c 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-07T11:36:22","documenter_version":"1.10.2"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T04:07:11","documenter_version":"1.11.0"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 57181dc..724ceae 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index e10b690..c36288b 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
 2-element Vector{Vector{Int64}}:
  [1, 1]
  [2]
@@ -41,7 +41,7 @@
 ERROR: DomainError with -1:
 n must be nonnegative
 Stacktrace:
-[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
+[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
 1-element Vector{Vector{Vector{Int64}}}:
  [[1]]
 
@@ -57,7 +57,7 @@
 5
 
 julia> length(ncpartitions(6)) == catalannum(6)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
 1-element Vector{Vector{Vector{Char}}}:
  [['a'], ['b'], ['c']]
 
@@ -77,7 +77,7 @@
 3
 
 julia> length(partitions(1:10, 3)) == stirlings2(10, 3)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
 2-element Vector{Vector{Vector{Int64}}}:
  [[1, 1]]
  [[1], [1]]
@@ -96,7 +96,7 @@
  [['a'], ['b'], ['c']]
 
 julia> length(partitions(1:10)) == bellnum(10)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
 5-element Vector{Vector{Int64}}:
  [4]
  [3, 1]
@@ -120,7 +120,7 @@
 ERROR: DomainError with (4, 0):
 n and m must be positive
 Stacktrace:
-[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
+[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
 2-element Vector{Vector{Int64}}:
  [2]
  [1, 1]
@@ -142,7 +142,7 @@
  10
 
 julia> length(partitions(10))
-42
                            References
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.
                            This function computes the largest value y ≤ x that can be written as:
                            \[y = \prod a_i^{n_i}
+42

                            References

                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)

                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.

                            This function computes the largest value y ≤ x that can be written as:

                            \[y = \prod a_i^{n_i} = a_1^{n_1} a_2^{n_2} \cdots a_k^{n_k} \leq x\]

                            where $n_i$ is a non-negative integer, k is the length of Vector a.

                            Examples

                            julia> prevprod([10], 1000)   # 1000 = 10^3
 1000
@@ -154,7 +154,7 @@
 96
 
 julia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0
-1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
+1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -167,7 +167,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a with possibly duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -184,7 +184,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)

                            In-place version of nthperm; the array a is overwritten.

                            Examples

                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -209,7 +209,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -226,7 +226,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -252,7 +252,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -263,7 +263,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -279,7 +279,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -294,9 +294,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
+ [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            +doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/assets/themes/catppuccin-frappe.css b/dev/assets/themes/catppuccin-frappe.css index 5a15fed..4a7b6dc 100644 --- a/dev/assets/themes/catppuccin-frappe.css +++ b/dev/assets/themes/catppuccin-frappe.css @@ -1 +1 @@ -html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis,html.theme--catppuccin-frappe .file-cta,html.theme--catppuccin-frappe .file-name,html.theme--catppuccin-frappe .select select,html.theme--catppuccin-frappe .textarea,html.theme--catppuccin-frappe .input,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-frappe .button{-moz-appearance:none;-webkit-appearance:none;align-items:center;border:1px solid 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.button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-outlined:hover,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-white.is-outlined:focus,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:hover,html.theme--catppuccin-frappe .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:focus,html.theme--catppuccin-frappe .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:focus:not(:active),html.theme--catppuccin-frappe .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-frappe .button.is-black:active,html.theme--catppuccin-frappe .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-frappe .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted:hover,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-outlined:hover,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-black.is-outlined:focus,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:hover,html.theme--catppuccin-frappe .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus,html.theme--catppuccin-frappe .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus:not(:active),html.theme--catppuccin-frappe .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-frappe .button.is-light:active,html.theme--catppuccin-frappe .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-dark,html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:hover,html.theme--catppuccin-frappe .content kbd.button:hover,html.theme--catppuccin-frappe .button.is-dark.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-hovered{background-color:#3c3f52;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus,html.theme--catppuccin-frappe .content kbd.button:focus,html.theme--catppuccin-frappe .button.is-dark.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus:not(:active),html.theme--catppuccin-frappe .content kbd.button:focus:not(:active),html.theme--catppuccin-frappe .button.is-dark.is-focused:not(:active),html.theme--catppuccin-frappe .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(65,69,89,0.25)}html.theme--catppuccin-frappe .button.is-dark:active,html.theme--catppuccin-frappe .content kbd.button:active,html.theme--catppuccin-frappe .button.is-dark.is-active,html.theme--catppuccin-frappe .content kbd.button.is-active{background-color:#363a4a;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark[disabled],html.theme--catppuccin-frappe .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:#414559;box-shadow:none}html.theme--catppuccin-frappe .button.is-dark.is-inverted,html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-dark.is-inverted[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-focused{background-color:#414559;border-color:#414559;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:hover,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:focus,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:focus:not(:active),html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--catppuccin-frappe .button.is-primary.is-focused:not(:active),html.theme--catppuccin-frappe .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-primary:active,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-active.docs-sourcelink{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe 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.button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-primary.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-light,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus:not(:active),html.theme--catppuccin-frappe .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-link:active,html.theme--catppuccin-frappe .button.is-link.is-active{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:#8caaee;box-shadow:none}html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe 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.button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) 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.button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:hover,html.theme--catppuccin-frappe .button.is-success.is-hovered{background-color:#9fcd80;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus,html.theme--catppuccin-frappe .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus:not(:active),html.theme--catppuccin-frappe .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,209,137,0.25)}html.theme--catppuccin-frappe .button.is-success:active,html.theme--catppuccin-frappe .button.is-success.is-active{background-color:#98ca77;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe 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.button.is-text[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-text{background-color:transparent;border-color:transparent;box-shadow:none}html.theme--catppuccin-frappe .button.is-ghost{background:none;border-color:rgba(0,0,0,0);color:#8caaee;text-decoration:none}html.theme--catppuccin-frappe .button.is-ghost:hover,html.theme--catppuccin-frappe .button.is-ghost.is-hovered{color:#8caaee;text-decoration:underline}html.theme--catppuccin-frappe .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white:hover,html.theme--catppuccin-frappe .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white:focus,html.theme--catppuccin-frappe .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white:focus:not(:active),html.theme--catppuccin-frappe .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-frappe .button.is-white:active,html.theme--catppuccin-frappe .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--catppuccin-frappe .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted:hover,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--catppuccin-frappe .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-outlined:hover,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-white.is-outlined:focus,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:hover,html.theme--catppuccin-frappe .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:focus,html.theme--catppuccin-frappe .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:focus:not(:active),html.theme--catppuccin-frappe .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-frappe .button.is-black:active,html.theme--catppuccin-frappe .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-frappe .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted:hover,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-outlined:hover,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-black.is-outlined:focus,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:hover,html.theme--catppuccin-frappe .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus,html.theme--catppuccin-frappe .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus:not(:active),html.theme--catppuccin-frappe .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-frappe .button.is-light:active,html.theme--catppuccin-frappe .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-dark,html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:hover,html.theme--catppuccin-frappe .content kbd.button:hover,html.theme--catppuccin-frappe .button.is-dark.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-hovered{background-color:#3c3f52;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus,html.theme--catppuccin-frappe .content kbd.button:focus,html.theme--catppuccin-frappe .button.is-dark.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus:not(:active),html.theme--catppuccin-frappe .content kbd.button:focus:not(:active),html.theme--catppuccin-frappe .button.is-dark.is-focused:not(:active),html.theme--catppuccin-frappe .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(65,69,89,0.25)}html.theme--catppuccin-frappe .button.is-dark:active,html.theme--catppuccin-frappe .content kbd.button:active,html.theme--catppuccin-frappe .button.is-dark.is-active,html.theme--catppuccin-frappe .content kbd.button.is-active{background-color:#363a4a;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark[disabled],html.theme--catppuccin-frappe .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:#414559;box-shadow:none}html.theme--catppuccin-frappe .button.is-dark.is-inverted,html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-dark.is-inverted[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-focused{background-color:#414559;border-color:#414559;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content 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!important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:hover,html.theme--catppuccin-frappe .button.is-success.is-hovered{background-color:#9fcd80;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus,html.theme--catppuccin-frappe .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus:not(:active),html.theme--catppuccin-frappe .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,209,137,0.25)}html.theme--catppuccin-frappe .button.is-success:active,html.theme--catppuccin-frappe .button.is-success.is-active{background-color:#98ca77;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-frappe .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-frappe div.icon-text{display:flex}html.theme--catppuccin-frappe .image,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-frappe .image img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-frappe .image img.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-frappe .image.is-fullwidth,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-frappe .image.is-square img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-frappe .image.is-square .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-frappe .image.is-1by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-frappe .image.is-1by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-frappe .image.is-5by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-frappe .image.is-5by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-frappe .image.is-4by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-frappe .image.is-4by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-frappe .image.is-3by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-frappe .image.is-5by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-frappe .image.is-5by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-frappe .image.is-16by9 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-frappe .image.is-16by9 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-frappe .image.is-2by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-frappe .image.is-2by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-frappe .image.is-3by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-frappe .image.is-3by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-frappe .image.is-4by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-frappe .image.is-4by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-frappe .image.is-3by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-frappe .image.is-3by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-frappe .image.is-2by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-frappe .image.is-2by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-frappe .image.is-3by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-frappe .image.is-9by16 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-frappe .image.is-9by16 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-frappe .image.is-1by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-frappe .image.is-1by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-frappe .image.is-1by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-frappe .image.is-1by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-frappe .image.is-square,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-frappe .image.is-1by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-frappe .image.is-5by4,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-frappe .image.is-4by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-frappe .image.is-3by2,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-frappe .image.is-5by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-frappe .image.is-16by9,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-frappe .image.is-2by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-frappe .image.is-3by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-frappe .image.is-4by5,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-frappe .image.is-3by4,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-frappe .image.is-2by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-frappe .image.is-3by5,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-frappe .image.is-9by16,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--catppuccin-frappe .image.is-1by2,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--catppuccin-frappe .image.is-1by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3{padding-top:300%}html.theme--catppuccin-frappe .image.is-16x16,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16x16{height:16px;width:16px}html.theme--catppuccin-frappe .image.is-24x24,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-24x24{height:24px;width:24px}html.theme--catppuccin-frappe .image.is-32x32,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-32x32{height:32px;width:32px}html.theme--catppuccin-frappe .image.is-48x48,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-48x48{height:48px;width:48px}html.theme--catppuccin-frappe .image.is-64x64,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-64x64{height:64px;width:64px}html.theme--catppuccin-frappe .image.is-96x96,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-96x96{height:96px;width:96px}html.theme--catppuccin-frappe .image.is-128x128,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-128x128{height:128px;width:128px}html.theme--catppuccin-frappe .notification{background-color:#292c3c;border-radius:.4em;position:relative;padding:1.25rem 2.5rem 1.25rem 1.5rem}html.theme--catppuccin-frappe .notification 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1px);text-align:center;white-space:nowrap}html.theme--catppuccin-latte .button strong{color:inherit}html.theme--catppuccin-latte .button .icon,html.theme--catppuccin-latte .button .icon.is-small,html.theme--catppuccin-latte .button #documenter .docs-sidebar form.docs-search>input.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .button form.docs-search>input.icon,html.theme--catppuccin-latte .button .icon.is-medium,html.theme--catppuccin-latte .button .icon.is-large{height:1.5em;width:1.5em}html.theme--catppuccin-latte .button .icon:first-child:not(:last-child){margin-left:calc(-0.5em - 1px);margin-right:.25em}html.theme--catppuccin-latte .button .icon:last-child:not(:first-child){margin-left:.25em;margin-right:calc(-0.5em - 1px)}html.theme--catppuccin-latte .button .icon:first-child:last-child{margin-left:calc(-0.5em - 1px);margin-right:calc(-0.5em - 1px)}html.theme--catppuccin-latte .button:hover,html.theme--catppuccin-latte 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.button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte 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.button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte 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kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte 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!important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-primary,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:hover,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte 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.button.is-primary.is-outlined:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-latte .button.is-primary.is-outlined:focus,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .button.is-primary.is-outlined.is-loading::after,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte 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.docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-primary.is-light,html.theme--catppuccin-latte 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.button.is-info.is-outlined{background-color:transparent;border-color:#179299;color:#179299}html.theme--catppuccin-latte .button.is-info.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-outlined.is-focused{background-color:#179299;border-color:#179299;color:#fff}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-info.is-light{background-color:#edfcfc;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte 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.file-cta{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .file.is-dark:hover .file-cta,html.theme--catppuccin-latte .content kbd.file:hover .file-cta,html.theme--catppuccin-latte .file.is-dark.is-hovered .file-cta,html.theme--catppuccin-latte .content kbd.file.is-hovered .file-cta{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .file.is-dark:focus .file-cta,html.theme--catppuccin-latte .content kbd.file:focus .file-cta,html.theme--catppuccin-latte .file.is-dark.is-focused .file-cta,html.theme--catppuccin-latte .content kbd.file.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(204,208,218,0.25);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .file.is-dark:active .file-cta,html.theme--catppuccin-latte .content kbd.file:active .file-cta,html.theme--catppuccin-latte .file.is-dark.is-active .file-cta,html.theme--catppuccin-latte .content kbd.file.is-active .file-cta{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .file.is-primary .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.docs-sourcelink .file-cta{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-primary:hover .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.docs-sourcelink:hover .file-cta,html.theme--catppuccin-latte .file.is-primary.is-hovered .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.is-hovered.docs-sourcelink .file-cta{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-primary:focus .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.docs-sourcelink:focus .file-cta,html.theme--catppuccin-latte .file.is-primary.is-focused .file-cta,html.theme--catppuccin-latte .docstring>section>a.file.is-focused.docs-sourcelink .file-cta{border-color:transparent;box-shadow:0 0 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.file.is-link.is-active .file-cta{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info .file-cta{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info:hover .file-cta,html.theme--catppuccin-latte .file.is-info.is-hovered .file-cta{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info:focus .file-cta,html.theme--catppuccin-latte .file.is-info.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(23,146,153,0.25);color:#fff}html.theme--catppuccin-latte .file.is-info:active .file-cta,html.theme--catppuccin-latte .file.is-info.is-active .file-cta{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success .file-cta{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:hover .file-cta,html.theme--catppuccin-latte .file.is-success.is-hovered .file-cta{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:focus .file-cta,html.theme--catppuccin-latte .file.is-success.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(64,160,43,0.25);color:#fff}html.theme--catppuccin-latte .file.is-success:active .file-cta,html.theme--catppuccin-latte .file.is-success.is-active .file-cta{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning .file-cta{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:hover .file-cta,html.theme--catppuccin-latte .file.is-warning.is-hovered .file-cta{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:focus .file-cta,html.theme--catppuccin-latte .file.is-warning.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em 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.file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte 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.label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select 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.docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar 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transform;transition-timing-function:ease-out;width:16px}html.theme--catppuccin-latte .navbar-burger span:nth-child(1){top:calc(50% - 6px)}html.theme--catppuccin-latte .navbar-burger span:nth-child(2){top:calc(50% - 1px)}html.theme--catppuccin-latte .navbar-burger span:nth-child(3){top:calc(50% + 4px)}html.theme--catppuccin-latte .navbar-burger:hover{background-color:rgba(0,0,0,0.05)}html.theme--catppuccin-latte .navbar-burger.is-active span:nth-child(1){transform:translateY(5px) rotate(45deg)}html.theme--catppuccin-latte .navbar-burger.is-active span:nth-child(2){opacity:0}html.theme--catppuccin-latte .navbar-burger.is-active span:nth-child(3){transform:translateY(-5px) rotate(-45deg)}html.theme--catppuccin-latte .navbar-menu{display:none}html.theme--catppuccin-latte .navbar-item,html.theme--catppuccin-latte .navbar-link{color:#4c4f69;display:block;line-height:1.5;padding:0.5rem 0.75rem;position:relative}html.theme--catppuccin-latte .navbar-item .icon:only-child,html.theme--catppuccin-latte .navbar-link .icon:only-child{margin-left:-0.25rem;margin-right:-0.25rem}html.theme--catppuccin-latte a.navbar-item,html.theme--catppuccin-latte .navbar-link{cursor:pointer}html.theme--catppuccin-latte a.navbar-item:focus,html.theme--catppuccin-latte a.navbar-item:focus-within,html.theme--catppuccin-latte a.navbar-item:hover,html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link:focus,html.theme--catppuccin-latte .navbar-link:focus-within,html.theme--catppuccin-latte .navbar-link:hover,html.theme--catppuccin-latte .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}html.theme--catppuccin-latte .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .navbar-item img{max-height:1.75rem}html.theme--catppuccin-latte .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-latte .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .navbar-item.is-tab{border-bottom:1px solid transparent;min-height:4rem;padding-bottom:calc(0.5rem - 1px)}html.theme--catppuccin-latte .navbar-item.is-tab:focus,html.theme--catppuccin-latte .navbar-item.is-tab:hover{background-color:rgba(0,0,0,0);border-bottom-color:#1e66f5}html.theme--catppuccin-latte .navbar-item.is-tab.is-active{background-color:rgba(0,0,0,0);border-bottom-color:#1e66f5;border-bottom-style:solid;border-bottom-width:3px;color:#1e66f5;padding-bottom:calc(0.5rem - 3px)}html.theme--catppuccin-latte .navbar-content{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .navbar-link:not(.is-arrowless){padding-right:2.5em}html.theme--catppuccin-latte .navbar-link:not(.is-arrowless)::after{border-color:#fff;margin-top:-0.375em;right:1.125em}html.theme--catppuccin-latte .navbar-dropdown{font-size:0.875rem;padding-bottom:0.5rem;padding-top:0.5rem}html.theme--catppuccin-latte .navbar-dropdown .navbar-item{padding-left:1.5rem;padding-right:1.5rem}html.theme--catppuccin-latte .navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-latte .navbar>.container{display:block}html.theme--catppuccin-latte .navbar-brand .navbar-item,html.theme--catppuccin-latte .navbar-tabs .navbar-item{align-items:center;display:flex}html.theme--catppuccin-latte .navbar-link::after{display:none}html.theme--catppuccin-latte .navbar-menu{background-color:#1e66f5;box-shadow:0 8px 16px rgba(10,10,10,0.1);padding:0.5rem 0}html.theme--catppuccin-latte .navbar-menu.is-active{display:block}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch,html.theme--catppuccin-latte .navbar.is-fixed-top-touch{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte .navbar.is-fixed-top-touch{top:0}html.theme--catppuccin-latte .navbar.is-fixed-top .navbar-menu,html.theme--catppuccin-latte .navbar.is-fixed-top-touch .navbar-menu{-webkit-overflow-scrolling:touch;max-height:calc(100vh - 4rem);overflow:auto}html.theme--catppuccin-latte html.has-navbar-fixed-top-touch,html.theme--catppuccin-latte body.has-navbar-fixed-top-touch{padding-top:4rem}html.theme--catppuccin-latte html.has-navbar-fixed-bottom-touch,html.theme--catppuccin-latte body.has-navbar-fixed-bottom-touch{padding-bottom:4rem}}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .navbar,html.theme--catppuccin-latte .navbar-menu,html.theme--catppuccin-latte .navbar-start,html.theme--catppuccin-latte .navbar-end{align-items:stretch;display:flex}html.theme--catppuccin-latte .navbar{min-height:4rem}html.theme--catppuccin-latte .navbar.is-spaced{padding:1rem 2rem}html.theme--catppuccin-latte .navbar.is-spaced .navbar-start,html.theme--catppuccin-latte .navbar.is-spaced .navbar-end{align-items:center}html.theme--catppuccin-latte .navbar.is-spaced a.navbar-item,html.theme--catppuccin-latte .navbar.is-spaced .navbar-link{border-radius:.4em}html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item:focus,html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item:hover,html.theme--catppuccin-latte .navbar.is-transparent a.navbar-item.is-active,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link:focus,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link:hover,html.theme--catppuccin-latte .navbar.is-transparent .navbar-link.is-active{background-color:transparent !important}html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-active .navbar-link,html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus .navbar-link,html.theme--catppuccin-latte .navbar.is-transparent .navbar-item.has-dropdown.is-hoverable:focus-within 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.navbar-dropdown.is-boxed,.navbar.is-spaced html.theme--catppuccin-latte .navbar-item.is-hoverable:hover .navbar-dropdown,html.theme--catppuccin-latte .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed{opacity:1;pointer-events:auto;transform:translateY(0)}html.theme--catppuccin-latte .navbar-menu{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .navbar-start{justify-content:flex-start;margin-right:auto}html.theme--catppuccin-latte .navbar-end{justify-content:flex-end;margin-left:auto}html.theme--catppuccin-latte .navbar-dropdown{background-color:#1e66f5;border-bottom-left-radius:8px;border-bottom-right-radius:8px;border-top:1px solid rgba(0,0,0,0.2);box-shadow:0 8px 8px rgba(10,10,10,0.1);display:none;font-size:0.875rem;left:0;min-width:100%;position:absolute;top:100%;z-index:20}html.theme--catppuccin-latte .navbar-dropdown .navbar-item{padding:0.375rem 1rem;white-space:nowrap}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item{padding-right:3rem}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:focus,html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#8c8fa1}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}.navbar.is-spaced html.theme--catppuccin-latte .navbar-dropdown,html.theme--catppuccin-latte .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-latte .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-latte .navbar-divider{display:block}html.theme--catppuccin-latte .navbar>.container .navbar-brand,html.theme--catppuccin-latte .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-latte .navbar>.container .navbar-menu,html.theme--catppuccin-latte .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop,html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{top:0}html.theme--catppuccin-latte html.has-navbar-fixed-top-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--catppuccin-latte html.has-navbar-fixed-bottom-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-top,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-bottom,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link.is-active{color:#1e66f5}html.theme--catppuccin-latte a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-latte .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-latte .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-latte .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-latte .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-latte .pagination.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-latte .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-latte .pagination.is-rounded .pagination-previous,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-latte .pagination.is-rounded .pagination-next,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-latte .pagination.is-rounded .pagination-link,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-latte .pagination,html.theme--catppuccin-latte .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link{border-color:#acb0be;color:#1e66f5;min-width:2.5em}html.theme--catppuccin-latte .pagination-previous:hover,html.theme--catppuccin-latte .pagination-next:hover,html.theme--catppuccin-latte .pagination-link:hover{border-color:#9ca0b0;color:#04a5e5}html.theme--catppuccin-latte .pagination-previous:focus,html.theme--catppuccin-latte .pagination-next:focus,html.theme--catppuccin-latte .pagination-link:focus{border-color:#9ca0b0}html.theme--catppuccin-latte .pagination-previous:active,html.theme--catppuccin-latte .pagination-next:active,html.theme--catppuccin-latte .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--catppuccin-latte .pagination-previous[disabled],html.theme--catppuccin-latte .pagination-previous.is-disabled,html.theme--catppuccin-latte .pagination-next[disabled],html.theme--catppuccin-latte .pagination-next.is-disabled,html.theme--catppuccin-latte .pagination-link[disabled],html.theme--catppuccin-latte .pagination-link.is-disabled{background-color:#acb0be;border-color:#acb0be;box-shadow:none;color:#616587;opacity:0.5}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{padding-left:.75em;padding-right:.75em;white-space:nowrap}html.theme--catppuccin-latte .pagination-link.is-current{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .pagination-ellipsis{color:#9ca0b0;pointer-events:none}html.theme--catppuccin-latte .pagination-list{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-list li{list-style:none}@media screen and (max-width: 768px){html.theme--catppuccin-latte .pagination{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-latte .pagination-previous{order:2}html.theme--catppuccin-latte .pagination-next{order:3}html.theme--catppuccin-latte .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-latte .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-latte .pagination.is-centered .pagination-list{justify-content:center;order:2}html.theme--catppuccin-latte .pagination.is-centered .pagination-next{order:3}html.theme--catppuccin-latte .pagination.is-right .pagination-previous{order:1}html.theme--catppuccin-latte .pagination.is-right .pagination-next{order:2}html.theme--catppuccin-latte .pagination.is-right .pagination-list{justify-content:flex-end;order:3}}html.theme--catppuccin-latte .panel{border-radius:8px;box-shadow:#171717;font-size:1rem}html.theme--catppuccin-latte .panel:not(:last-child){margin-bottom:1.5rem}html.theme--catppuccin-latte .panel.is-white .panel-heading{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .panel.is-white .panel-tabs a.is-active{border-bottom-color:#fff}html.theme--catppuccin-latte .panel.is-white .panel-block.is-active .panel-icon{color:#fff}html.theme--catppuccin-latte .panel.is-black .panel-heading{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .panel.is-black .panel-tabs a.is-active{border-bottom-color:#0a0a0a}html.theme--catppuccin-latte .panel.is-black .panel-block.is-active .panel-icon{color:#0a0a0a}html.theme--catppuccin-latte .panel.is-light .panel-heading{background-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .panel.is-light .panel-tabs a.is-active{border-bottom-color:#f5f5f5}html.theme--catppuccin-latte .panel.is-light .panel-block.is-active .panel-icon{color:#f5f5f5}html.theme--catppuccin-latte .panel.is-dark .panel-heading,html.theme--catppuccin-latte .content kbd.panel .panel-heading{background-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .panel.is-dark .panel-tabs a.is-active,html.theme--catppuccin-latte .content kbd.panel .panel-tabs a.is-active{border-bottom-color:#ccd0da}html.theme--catppuccin-latte .panel.is-dark .panel-block.is-active .panel-icon,html.theme--catppuccin-latte .content 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kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte 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.button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-outlined.is-focused{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-link.is-light{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:hover,html.theme--catppuccin-latte .button.is-link.is-light.is-hovered{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:active,html.theme--catppuccin-latte .button.is-link.is-light.is-active{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:hover,html.theme--catppuccin-latte .button.is-info.is-hovered{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus,html.theme--catppuccin-latte .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus:not(:active),html.theme--catppuccin-latte .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(23,146,153,0.25)}html.theme--catppuccin-latte .button.is-info:active,html.theme--catppuccin-latte .button.is-info.is-active{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:#179299;box-shadow:none}html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;color:#179299}html.theme--catppuccin-latte .button.is-info.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-outlined.is-focused{background-color:#179299;border-color:#179299;color:#fff}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-info.is-light{background-color:#edfcfc;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table th:not([align]){text-align:inherit}html.theme--catppuccin-latte .content table thead td,html.theme--catppuccin-latte .content table thead th{border-width:0 0 2px;color:#41445a}html.theme--catppuccin-latte .content table tfoot td,html.theme--catppuccin-latte .content table tfoot th{border-width:2px 0 0;color:#41445a}html.theme--catppuccin-latte .content table tbody tr:last-child td,html.theme--catppuccin-latte .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-latte .content .tabs li+li{margin-top:0}html.theme--catppuccin-latte .content.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-latte .content.is-normal{font-size:1rem}html.theme--catppuccin-latte .content.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .content.is-large{font-size:1.5rem}html.theme--catppuccin-latte .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-latte .icon.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-latte .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-latte .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-latte .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-latte .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-latte .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-latte div.icon-text{display:flex}html.theme--catppuccin-latte .image,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-latte .image img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-latte .image img.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-latte .image.is-fullwidth,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-latte .image.is-square img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-latte .image.is-square .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-latte .image.is-1by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-latte .image.is-1by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-latte .image.is-5by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-latte .image.is-5by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-latte .image.is-4by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-latte .image.is-4by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-latte .image.is-3by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-latte .image.is-5by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-latte .image.is-5by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-latte .image.is-16by9 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-latte .image.is-16by9 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-latte .image.is-2by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-latte .image.is-2by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-latte .image.is-3by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-latte .image.is-3by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-latte .image.is-4by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-latte .image.is-4by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-latte .image.is-3by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-latte .image.is-3by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-latte .image.is-2by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-latte .image.is-2by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-latte .image.is-3by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-latte .image.is-9by16 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-latte .image.is-9by16 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-latte .image.is-1by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-latte .image.is-1by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-latte .image.is-1by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-latte .image.is-1by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-latte .image.is-square,html.theme--catppuccin-latte #documenter 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.icon:only-child,html.theme--catppuccin-latte .navbar-link .icon:only-child{margin-left:-0.25rem;margin-right:-0.25rem}html.theme--catppuccin-latte a.navbar-item,html.theme--catppuccin-latte .navbar-link{cursor:pointer}html.theme--catppuccin-latte a.navbar-item:focus,html.theme--catppuccin-latte a.navbar-item:focus-within,html.theme--catppuccin-latte a.navbar-item:hover,html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link:focus,html.theme--catppuccin-latte .navbar-link:focus-within,html.theme--catppuccin-latte .navbar-link:hover,html.theme--catppuccin-latte .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}html.theme--catppuccin-latte .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .navbar-item img{max-height:1.75rem}html.theme--catppuccin-latte .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-latte .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte 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a.navbar-item{padding-right:3rem}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:focus,html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#8c8fa1}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}.navbar.is-spaced html.theme--catppuccin-latte .navbar-dropdown,html.theme--catppuccin-latte .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--catppuccin-latte .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-latte .navbar-divider{display:block}html.theme--catppuccin-latte .navbar>.container .navbar-brand,html.theme--catppuccin-latte .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-latte .navbar>.container .navbar-menu,html.theme--catppuccin-latte .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop,html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{top:0}html.theme--catppuccin-latte html.has-navbar-fixed-top-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--catppuccin-latte html.has-navbar-fixed-bottom-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-top,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-bottom,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link.is-active{color:#1e66f5}html.theme--catppuccin-latte a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-latte .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-latte .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-latte .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-latte .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-latte 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.button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white:focus,html.theme--catppuccin-macchiato .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white:focus:not(:active),html.theme--catppuccin-macchiato .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .button.is-white:active,html.theme--catppuccin-macchiato .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-white[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--catppuccin-macchiato .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--catppuccin-macchiato .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-white.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-white.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato 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.button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:hover,html.theme--catppuccin-macchiato .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus,html.theme--catppuccin-macchiato .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus:not(:active),html.theme--catppuccin-macchiato .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-macchiato .button.is-black:active,html.theme--catppuccin-macchiato .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:hover,html.theme--catppuccin-macchiato .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus,html.theme--catppuccin-macchiato .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus:not(:active),html.theme--catppuccin-macchiato .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-macchiato .button.is-light:active,html.theme--catppuccin-macchiato .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-dark,html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:hover,html.theme--catppuccin-macchiato .content kbd.button:hover,html.theme--catppuccin-macchiato .button.is-dark.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-hovered{background-color:#313447;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus,html.theme--catppuccin-macchiato .content kbd.button:focus,html.theme--catppuccin-macchiato .button.is-dark.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus:not(:active),html.theme--catppuccin-macchiato .content kbd.button:focus:not(:active),html.theme--catppuccin-macchiato .button.is-dark.is-focused:not(:active),html.theme--catppuccin-macchiato .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(54,58,79,0.25)}html.theme--catppuccin-macchiato .button.is-dark:active,html.theme--catppuccin-macchiato .content kbd.button:active,html.theme--catppuccin-macchiato .button.is-dark.is-active,html.theme--catppuccin-macchiato .content kbd.button.is-active{background-color:#2c2f40;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark[disabled],html.theme--catppuccin-macchiato .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:#363a4f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-dark.is-inverted,html.theme--catppuccin-macchiato .content kbd.button.is-inverted{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted:hover,html.theme--catppuccin-macchiato 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.button.is-dark.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-focused{background-color:#363a4f;border-color:#363a4f;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato 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.button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons 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.button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:hover,html.theme--catppuccin-macchiato .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus,html.theme--catppuccin-macchiato .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black:focus:not(:active),html.theme--catppuccin-macchiato .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-macchiato .button.is-black:active,html.theme--catppuccin-macchiato .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:hover,html.theme--catppuccin-macchiato .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus,html.theme--catppuccin-macchiato .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus:not(:active),html.theme--catppuccin-macchiato .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-macchiato .button.is-light:active,html.theme--catppuccin-macchiato .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato 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.content kbd.button{background-color:#363a4f;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:hover,html.theme--catppuccin-macchiato .content kbd.button:hover,html.theme--catppuccin-macchiato .button.is-dark.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-hovered{background-color:#313447;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus,html.theme--catppuccin-macchiato .content kbd.button:focus,html.theme--catppuccin-macchiato .button.is-dark.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus:not(:active),html.theme--catppuccin-macchiato .content kbd.button:focus:not(:active),html.theme--catppuccin-macchiato .button.is-dark.is-focused:not(:active),html.theme--catppuccin-macchiato .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(54,58,79,0.25)}html.theme--catppuccin-macchiato .button.is-dark:active,html.theme--catppuccin-macchiato .content kbd.button:active,html.theme--catppuccin-macchiato .button.is-dark.is-active,html.theme--catppuccin-macchiato .content kbd.button.is-active{background-color:#2c2f40;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark[disabled],html.theme--catppuccin-macchiato .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:#363a4f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-dark.is-inverted,html.theme--catppuccin-macchiato .content kbd.button.is-inverted{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted:hover,html.theme--catppuccin-macchiato 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.button.is-dark.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-focused{background-color:#363a4f;border-color:#363a4f;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content 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.button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused,html.theme--catppuccin-macchiato .buttons.has-addons .button:active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button:active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-macchiato .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-macchiato .buttons.is-centered{justify-content:center}html.theme--catppuccin-macchiato .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-macchiato 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kbd.button.is-hovered{background-color:#2c2d3d;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus,html.theme--catppuccin-mocha .content kbd.button:focus,html.theme--catppuccin-mocha .button.is-dark.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus:not(:active),html.theme--catppuccin-mocha .content kbd.button:focus:not(:active),html.theme--catppuccin-mocha .button.is-dark.is-focused:not(:active),html.theme--catppuccin-mocha .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(49,50,68,0.25)}html.theme--catppuccin-mocha .button.is-dark:active,html.theme--catppuccin-mocha .content kbd.button:active,html.theme--catppuccin-mocha .button.is-dark.is-active,html.theme--catppuccin-mocha .content kbd.button.is-active{background-color:#262735;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-focused{background-color:#313244;border-color:#313244;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-primary,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large 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form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha 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rgba(10,10,10,0.25)}html.theme--catppuccin-mocha .button.is-black:active,html.theme--catppuccin-mocha .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:hover,html.theme--catppuccin-mocha .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus,html.theme--catppuccin-mocha .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus:not(:active),html.theme--catppuccin-mocha .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-mocha .button.is-light:active,html.theme--catppuccin-mocha .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-dark,html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:hover,html.theme--catppuccin-mocha .content kbd.button:hover,html.theme--catppuccin-mocha .button.is-dark.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-hovered{background-color:#2c2d3d;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus,html.theme--catppuccin-mocha .content kbd.button:focus,html.theme--catppuccin-mocha .button.is-dark.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus:not(:active),html.theme--catppuccin-mocha .content kbd.button:focus:not(:active),html.theme--catppuccin-mocha .button.is-dark.is-focused:not(:active),html.theme--catppuccin-mocha .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(49,50,68,0.25)}html.theme--catppuccin-mocha .button.is-dark:active,html.theme--catppuccin-mocha .content kbd.button:active,html.theme--catppuccin-mocha .button.is-dark.is-active,html.theme--catppuccin-mocha .content kbd.button.is-active{background-color:#262735;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark[disabled],html.theme--catppuccin-mocha .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:#313244;box-shadow:none}html.theme--catppuccin-mocha .button.is-dark.is-inverted,html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-dark.is-inverted[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-focused{background-color:#313244;border-color:#313244;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-primary,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:transparent;color:#fff}html.theme--catppuccin-mocha 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rgba(137,180,250,0.25)}html.theme--catppuccin-mocha .button.is-primary:active,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-mocha .button.is-primary.is-active,html.theme--catppuccin-mocha .docstring>section>a.button.is-active.docs-sourcelink{background-color:#71a4f9;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-primary[disabled],html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-primary,fieldset[disabled] html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:#89b4fa;box-shadow:none}html.theme--catppuccin-mocha .button.is-primary.is-inverted,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-inverted:hover,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-primary.is-inverted[disabled],html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-primary.is-inverted,fieldset[disabled] html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-loading::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-primary.is-outlined,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#89b4fa;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-outlined:hover,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-mocha .button.is-primary.is-outlined:focus,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#89b4fa;border-color:#89b4fa;color:#fff}html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-loading::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #89b4fa #89b4fa !important}html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-mocha .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff 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.docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #89b4fa #89b4fa !important}html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha 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.button.is-link.is-outlined.is-focused{background-color:#89b4fa;border-color:#89b4fa;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #89b4fa #89b4fa !important}html.theme--catppuccin-mocha .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-link.is-outlined{background-color:transparent;border-color:#89b4fa;box-shadow:none;color:#89b4fa}html.theme--catppuccin-mocha 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha 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.button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha 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.button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table 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pre{-moz-osx-font-smoothing:auto;-webkit-font-smoothing:auto;font-family:"JuliaMono","SFMono-Regular","Menlo","Consolas","Liberation Mono","DejaVu Sans Mono",monospace}html.theme--documenter-dark body{color:#fff;font-size:1em;font-weight:400;line-height:1.5}html.theme--documenter-dark a{color:#1abc9c;cursor:pointer;text-decoration:none}html.theme--documenter-dark a strong{color:currentColor}html.theme--documenter-dark a:hover{color:#1dd2af}html.theme--documenter-dark code{background-color:rgba(255,255,255,0.05);color:#ececec;font-size:.875em;font-weight:normal;padding:.1em}html.theme--documenter-dark hr{background-color:#282f2f;border:none;display:block;height:2px;margin:1.5rem 0}html.theme--documenter-dark img{height:auto;max-width:100%}html.theme--documenter-dark input[type="checkbox"],html.theme--documenter-dark input[type="radio"]{vertical-align:baseline}html.theme--documenter-dark small{font-size:.875em}html.theme--documenter-dark span{font-style:inherit;font-weight:inherit}html.theme--documenter-dark strong{color:#f2f2f2;font-weight:700}html.theme--documenter-dark fieldset{border:none}html.theme--documenter-dark pre{-webkit-overflow-scrolling:touch;background-color:#282f2f;color:#fff;font-size:.875em;overflow-x:auto;padding:1.25rem 1.5rem;white-space:pre;word-wrap:normal}html.theme--documenter-dark pre code{background-color:transparent;color:currentColor;font-size:1em;padding:0}html.theme--documenter-dark table td,html.theme--documenter-dark table th{vertical-align:top}html.theme--documenter-dark table td:not([align]),html.theme--documenter-dark table th:not([align]){text-align:inherit}html.theme--documenter-dark table th{color:#f2f2f2}html.theme--documenter-dark .box{background-color:#343c3d;border-radius:8px;box-shadow:none;color:#fff;display:block;padding:1.25rem}html.theme--documenter-dark a.box:hover,html.theme--documenter-dark a.box:focus{box-shadow:0 0.5em 1em -0.125em rgba(10,10,10,0.1),0 0 0 1px 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 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.button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content 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.navbar-link .icon:only-child{margin-left:-0.25rem;margin-right:-0.25rem}html.theme--documenter-dark a.navbar-item,html.theme--documenter-dark .navbar-link{cursor:pointer}html.theme--documenter-dark a.navbar-item:focus,html.theme--documenter-dark a.navbar-item:focus-within,html.theme--documenter-dark a.navbar-item:hover,html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link:focus,html.theme--documenter-dark .navbar-link:focus-within,html.theme--documenter-dark .navbar-link:hover,html.theme--documenter-dark .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}html.theme--documenter-dark .navbar-item{flex-grow:0;flex-shrink:0}html.theme--documenter-dark .navbar-item img{max-height:1.75rem}html.theme--documenter-dark .navbar-item.has-dropdown{padding:0}html.theme--documenter-dark .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .navbar-item.is-tab{border-bottom:1px solid 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:1rem;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--documenter-dark 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html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] 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html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark 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kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content 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html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary[disabled],html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;box-shadow:none}html.theme--documenter-dark .button.is-primary.is-inverted,html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-inverted:hover,html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--documenter-dark .button.is-primary.is-inverted[disabled],html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-outlined:hover,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;box-shadow:none;color:#375a7f}html.theme--documenter-dark 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.button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary.is-light,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink{background-color:#f1f5f9;color:#4d7eb2}html.theme--documenter-dark .button.is-primary.is-light:hover,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-light.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e8eef5;border-color:transparent;color:#4d7eb2}html.theme--documenter-dark .button.is-primary.is-light:active,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-light.is-active,html.theme--documenter-dark .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#dfe8f1;border-color:transparent;color:#4d7eb2}html.theme--documenter-dark .button.is-link{background-color:#1abc9c;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:hover,html.theme--documenter-dark .button.is-link.is-hovered{background-color:#18b193;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:focus,html.theme--documenter-dark .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:focus:not(:active),html.theme--documenter-dark .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(26,188,156,0.25)}html.theme--documenter-dark .button.is-link:active,html.theme--documenter-dark .button.is-link.is-active{background-color:#17a689;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link{background-color:#1abc9c;border-color:#1abc9c;box-shadow:none}html.theme--documenter-dark .button.is-link.is-inverted{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-outlined.is-focused{background-color:#1abc9c;border-color:#1abc9c;color:#fff}html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-link.is-light{background-color:#edfdf9;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:hover,html.theme--documenter-dark .button.is-link.is-light.is-hovered{background-color:#e2fbf6;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:active,html.theme--documenter-dark .button.is-link.is-light.is-active{background-color:#d7f9f3;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-info{background-color:#3c5dcd;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:hover,html.theme--documenter-dark .button.is-info.is-hovered{background-color:#3355c9;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:focus,html.theme--documenter-dark .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:focus:not(:active),html.theme--documenter-dark .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(60,93,205,0.25)}html.theme--documenter-dark .button.is-info:active,html.theme--documenter-dark .button.is-info.is-active{background-color:#3151bf;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info[disabled],fieldset[disabled] html.theme--documenter-dark 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.button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-info.is-light{background-color:#eff2fb;color:#3253c3}html.theme--documenter-dark .button.is-info.is-light:hover,html.theme--documenter-dark .button.is-info.is-light.is-hovered{background-color:#e5e9f8;border-color:transparent;color:#3253c3}html.theme--documenter-dark .button.is-info.is-light:active,html.theme--documenter-dark .button.is-info.is-light.is-active{background-color:#dae1f6;border-color:transparent;color:#3253c3}html.theme--documenter-dark .button.is-success{background-color:#259a12;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-success:hover,html.theme--documenter-dark .button.is-success.is-hovered{background-color:#228f11;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-success:focus,html.theme--documenter-dark 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.button.is-danger.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-outlined.is-focused{background-color:#cb3c33;border-color:#cb3c33;color:#fff}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#cb3c33;box-shadow:none;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 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.buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table 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Theme: Default Description: Original highlight.js style Author: (c) Ivan Sagalaev diff --git a/dev/assets/warner.js b/dev/assets/warner.js index 3f6f5d0..891cd53 100644 --- a/dev/assets/warner.js +++ b/dev/assets/warner.js @@ -1,7 +1,7 @@ function maybeAddWarning() { // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE - // in siteinfo.js. - // If either of these are undefined something went horribly wrong, so we abort. + // in siteinfo.js. DOCUMENTER_IS_DEV_VERSION is optional and defined in siteinfo.js. + // If the required variables are undefined something went horribly wrong, so we abort. if ( window.DOCUMENTER_NEWEST === undefined || window.DOCUMENTER_CURRENT_VERSION === undefined || @@ -30,17 +30,33 @@ function maybeAddWarning() { } const div = document.createElement("div"); - div.classList.add("outdated-warning-overlay"); + // Base class is added by default + div.classList.add("warning-overlay-base"); const closer = document.createElement("button"); closer.classList.add("outdated-warning-closer", "delete"); closer.addEventListener("click", function () { document.body.removeChild(div); }); const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; - div.innerHTML = - 'This documentation is not for the latest stable release, but for either the development version or an older release.
                            development version and may contain unstable or unreleased features.
                            "; + } else { + div.classList.add("outdated-warning-overlay"); + warningMessage = + "This documentation is for an older version that may be missing recent changes.
                            "; + } + + warningMessage += + '                            Click here to go to the documentation for the latest stable release.'; + + div.innerHTML = warningMessage; div.appendChild(closer); document.body.appendChild(div); } diff --git a/dev/index.html b/dev/index.html index 665830e..d8325e2 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/objects.inv b/dev/objects.inv index 3eff8cd7834d37409a27e948020dd7dacd9172db..d495c3e0dc677a2b222f19668c582afd601c374b 100644 GIT binary patch delta 845 zcmV-T1G4a*327iSmAzJOa%sFdcILQ1h4}AtJ{!mRa1x|GBu?%* zC->f*>y$7LUQr~yxyM~JJw@mTNJ-dMtzjX-JHjC;UstCmXz_511U!KN=EBiqgtw5~ zL-7V^eAlm=#r56Inp5xO^A|KddQezI63!z1z8EdJ;eHovKz}q{y)9H0*OGOmV_N8_ zjn$Pdd9Wc2OD>2TwJW~cQI!TB5KNm?Wtp00nKJZMGnuouq~SYuV{y%#4(C& z<(m!L1w$WJ3-9r)6t)!DR{CS=Tmk7>=W46<%C^~JHpve8iyBuTWAvvTb7N_!(S!@5 z3QP7q%JEDfOUDZib1jWCDNX%q#89KPI>l;H?e^G_pbyAPy;XbFT znkHdgH-8SSvf2dDF@K~Vr)KnI&~S#12G_@N42Ut7Q32^`8TDI_ZqlZWM*sG*^{4JG z>u{Typ*}Gm7QlBY>qX<(qV|u%o5!wEtxmaR~S%02t zpoL+=Ysi_(hBiv9?XnVGo*zveJ#u;t9$Ibg)qi6<*X~`Wh$|ey@l*auHhpAD_*<%B z^*%w_kvdSm`Qoc@OtdPj)D%;Prc~r=R+b%PFjly0 zX7Z`qOwcuPWyxpl)2G8KeTC=e-jnK$391g<~KSk&}NJ-dEjbS0dJHjEUK3BIVX!&r91U!KN=EBiqgm;k6 zp?C{4nf3E#d3|@Y;nX|%_zBIA9uyXlgtJJWm!PE+?&Dw!qJQn_ZK<++mX0eO^HN7+ ztgdv$gDqiLazWgvTk%~?RT_9eFl|$nXKJ2j%FtKOWWnB%hHuzS#Iw}r-j>@)3Ptk^5~{bam$yv94#fLA`b{qbkUsZN4%ZFkTwLj3YQQ;L zIcLip(z&=+KYv3~kfb&Oxp6BADb%t33>Av{1a$x<+SuM%tenN?gBnAM2LiJl1i)l2 zz?R#HRE!-&%ni#Wa9}$B(#vB8W<=*-nrPHqBKMOkU4`DDR5s~MUn`rmVbV+gy9f zw_6qmV_#MaAMmaeb`;o7`cvv$0~uK7daDh}w%KAf$qxC8+O9w*=ua_o6KSZ`giE6e zEA~Cf@k}5~#|sYoS{7$gn)=liLygwz6{|&c+oNHQy5-myR^21(rq$3knVwCPGh4l2 z8$i!iAbo!`sW&D*C&u$27`#_!}n& z(t6SdD9{kJjJFYE+IrftH=s78AsYscB21Ot4>lAdvU{PqSYnFVaGrW#H%;oO@EUTa zvZ1-UO&d2wSFOCQqbF`8qxX+4_Zo1r>h>;E#D5iz;P|QdI+{N+CHyVZuzsJR{7PLY z-+b}a=N?*@R%(iALQ^UVHS5GIQw@ia>^5^zb(M0YBUO_%vUPWVN*F8MH8=UpZD#12 zxU%B2_UY4MmA=yR3-8JFCIoc{?kjL}XN_;D28tIV{f&T-VmGyr$sd9ifR^n&Rmo`L z6+q|o2fS+k5hyOX525{BHu~f;?8FiZcn$^kn!DJlJ2Zs$hHYt>+%7)+AJ=gfr}oBU Rm+*lbXmjRG@_!tf@tGtXodEy< diff --git a/dev/search_index.js b/dev/search_index.js index 468a4ef..d7aa6ca 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings2-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Int, k::Int)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a with possibly duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings2-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Int, k::Int)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a where a may have duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a)\n\nGenerate all permutations of an array a where a may have duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } diff --git a/dev/siteinfo.js b/dev/siteinfo.js index 3343491..258521e 100644 --- a/dev/siteinfo.js +++ b/dev/siteinfo.js @@ -1 +1,2 @@ var DOCUMENTER_CURRENT_VERSION = "dev"; +var DOCUMENTER_IS_DEV_VERSION = true; From e7f11501835725c540b9aadadec9854ab8532dad Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 10 May 2025 08:31:16 +0000 Subject: [PATCH 34/39] build based on 2c358b8 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 42 +++++++++++++++++------------------ dev/index.html | 2 +- dev/search_index.js | 2 +- 5 files changed, 25 insertions(+), 25 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index bfe116c..6ecdf60 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T04:07:11","documenter_version":"1.11.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T08:31:12","documenter_version":"1.11.0"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 724ceae..2c0addf 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index c36288b..002f274 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
 2-element Vector{Vector{Int64}}:
  [1, 1]
  [2]
@@ -41,7 +41,7 @@
 ERROR: DomainError with -1:
 n must be nonnegative
 Stacktrace:
-[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
+[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
 1-element Vector{Vector{Vector{Int64}}}:
  [[1]]
 
@@ -57,7 +57,7 @@
 5
 
 julia> length(ncpartitions(6)) == catalannum(6)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
 1-element Vector{Vector{Vector{Char}}}:
  [['a'], ['b'], ['c']]
 
@@ -77,7 +77,7 @@
 3
 
 julia> length(partitions(1:10, 3)) == stirlings2(10, 3)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
 2-element Vector{Vector{Vector{Int64}}}:
  [[1, 1]]
  [[1], [1]]
@@ -96,7 +96,7 @@
  [['a'], ['b'], ['c']]
 
 julia> length(partitions(1:10)) == bellnum(10)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
 5-element Vector{Vector{Int64}}:
  [4]
  [3, 1]
@@ -120,7 +120,7 @@
 ERROR: DomainError with (4, 0):
 n and m must be positive
 Stacktrace:
-[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
+[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
 2-element Vector{Vector{Int64}}:
  [2]
  [1, 1]
@@ -142,7 +142,7 @@
  10
 
 julia> length(partitions(10))
-42
                            References
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.
                            This function computes the largest value y ≤ x that can be written as:
                            \[y = \prod a_i^{n_i}
+42

                            References

                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)

                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.

                            This function computes the largest value y ≤ x that can be written as:

                            \[y = \prod a_i^{n_i} = a_1^{n_1} a_2^{n_2} \cdots a_k^{n_k} \leq x\]

                            where $n_i$ is a non-negative integer, k is the length of Vector a.

                            Examples

                            julia> prevprod([10], 1000)   # 1000 = 10^3
 1000
@@ -154,7 +154,7 @@
 96
 
 julia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0
-1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
+1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -167,7 +167,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -184,7 +184,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)

                            In-place version of nthperm; the array a is overwritten.

                            Examples

                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -209,7 +209,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -226,7 +226,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -252,7 +252,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -263,7 +263,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -279,7 +279,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -294,9 +294,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
+ [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            +doi:10.1016/j.jsc.2003.11.001source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index d8325e2..e3acf53 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/search_index.js b/dev/search_index.js index d7aa6ca..c4b4d5f 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings2-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Int, k::Int)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a where a may have duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a)\n\nGenerate all permutations of an array a where a may have duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings2-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Int, k::Int)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a where a may have duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a)\n\nGenerate all permutations of an array a where a may have duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From be5b680f00e9870746ffaa87b0e1dfb8928a6d71 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 10 May 2025 08:48:10 +0000 Subject: [PATCH 35/39] build based on 4cb1d9e --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 42 +++++++++++++++++------------------ dev/index.html | 2 +- 4 files changed, 24 insertions(+), 24 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 6ecdf60..7fd51c2 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T08:31:12","documenter_version":"1.11.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T08:48:06","documenter_version":"1.11.0"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 2c0addf..ce48eaa 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 002f274..1dbed88 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
 2-element Vector{Vector{Int64}}:
  [1, 1]
  [2]
@@ -41,7 +41,7 @@
 ERROR: DomainError with -1:
 n must be nonnegative
 Stacktrace:
-[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
+[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
 1-element Vector{Vector{Vector{Int64}}}:
  [[1]]
 
@@ -57,7 +57,7 @@
 5
 
 julia> length(ncpartitions(6)) == catalannum(6)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
 1-element Vector{Vector{Vector{Char}}}:
  [['a'], ['b'], ['c']]
 
@@ -77,7 +77,7 @@
 3
 
 julia> length(partitions(1:10, 3)) == stirlings2(10, 3)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
 2-element Vector{Vector{Vector{Int64}}}:
  [[1, 1]]
  [[1], [1]]
@@ -96,7 +96,7 @@
  [['a'], ['b'], ['c']]
 
 julia> length(partitions(1:10)) == bellnum(10)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
 5-element Vector{Vector{Int64}}:
  [4]
  [3, 1]
@@ -120,7 +120,7 @@
 ERROR: DomainError with (4, 0):
 n and m must be positive
 Stacktrace:
-[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
+[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
 2-element Vector{Vector{Int64}}:
  [2]
  [1, 1]
@@ -142,7 +142,7 @@
  10
 
 julia> length(partitions(10))
-42
                            References
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.
                            This function computes the largest value y ≤ x that can be written as:
                            \[y = \prod a_i^{n_i}
+42

                            References

                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)

                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.

                            This function computes the largest value y ≤ x that can be written as:

                            \[y = \prod a_i^{n_i} = a_1^{n_1} a_2^{n_2} \cdots a_k^{n_k} \leq x\]

                            where $n_i$ is a non-negative integer, k is the length of Vector a.

                            Examples

                            julia> prevprod([10], 1000)   # 1000 = 10^3
 1000
@@ -154,7 +154,7 @@
 96
 
 julia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0
-1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
+1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -167,7 +167,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -184,7 +184,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)

                            In-place version of nthperm; the array a is overwritten.

                            Examples

                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -209,7 +209,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -226,7 +226,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -252,7 +252,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -263,7 +263,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -279,7 +279,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -294,9 +294,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
+ [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            +doi:10.1016/j.jsc.2003.11.001source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index e3acf53..6706c0e 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From 9b5ed3baf8890e0df29a1f4d254a05e79f5d7716 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 10 May 2025 09:03:36 +0000 Subject: [PATCH 36/39] build based on edb9c2c --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 42 +++++++++++++++++------------------ dev/index.html | 2 +- 4 files changed, 24 insertions(+), 24 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 7fd51c2..6659e10 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T08:48:06","documenter_version":"1.11.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T09:03:32","documenter_version":"1.11.0"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index ce48eaa..d58e412 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 1dbed88..93cc138 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
 2-element Vector{Vector{Int64}}:
  [1, 1]
  [2]
@@ -41,7 +41,7 @@
 ERROR: DomainError with -1:
 n must be nonnegative
 Stacktrace:
-[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
+[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
 1-element Vector{Vector{Vector{Int64}}}:
  [[1]]
 
@@ -57,7 +57,7 @@
 5
 
 julia> length(ncpartitions(6)) == catalannum(6)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
 1-element Vector{Vector{Vector{Char}}}:
  [['a'], ['b'], ['c']]
 
@@ -77,7 +77,7 @@
 3
 
 julia> length(partitions(1:10, 3)) == stirlings2(10, 3)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
 2-element Vector{Vector{Vector{Int64}}}:
  [[1, 1]]
  [[1], [1]]
@@ -96,7 +96,7 @@
  [['a'], ['b'], ['c']]
 
 julia> length(partitions(1:10)) == bellnum(10)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
 5-element Vector{Vector{Int64}}:
  [4]
  [3, 1]
@@ -120,7 +120,7 @@
 ERROR: DomainError with (4, 0):
 n and m must be positive
 Stacktrace:
-[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
+[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
 2-element Vector{Vector{Int64}}:
  [2]
  [1, 1]
@@ -142,7 +142,7 @@
  10
 
 julia> length(partitions(10))
-42
                            References
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.
                            This function computes the largest value y ≤ x that can be written as:
                            \[y = \prod a_i^{n_i}
+42

                            References

                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)

                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.

                            This function computes the largest value y ≤ x that can be written as:

                            \[y = \prod a_i^{n_i} = a_1^{n_1} a_2^{n_2} \cdots a_k^{n_k} \leq x\]

                            where $n_i$ is a non-negative integer, k is the length of Vector a.

                            Examples

                            julia> prevprod([10], 1000)   # 1000 = 10^3
 1000
@@ -154,7 +154,7 @@
 96
 
 julia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0
-1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
+1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -167,7 +167,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -184,7 +184,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)

                            In-place version of nthperm; the array a is overwritten.

                            Examples

                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -209,7 +209,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -226,7 +226,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -252,7 +252,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -263,7 +263,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -279,7 +279,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -294,9 +294,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
+ [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            +doi:10.1016/j.jsc.2003.11.001source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 6706c0e..80ed363 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            From fded75eb941c71a2caef1c7d135bbb8c6eb115f9 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 10 May 2025 15:32:44 +0000 Subject: [PATCH 37/39] build based on e005ee0 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 63 ++++++++++++++++++++++------------ dev/index.html | 2 +- dev/objects.inv | Bin 979 -> 988 bytes dev/search_index.js | 2 +- 6 files changed, 46 insertions(+), 25 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 6659e10..a62d9f6 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T09:03:32","documenter_version":"1.11.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T15:32:40","documenter_version":"1.11.0"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index d58e412..d7fcdb2 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 93cc138..bf2fbc5 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
 2-element Vector{Vector{Int64}}:
  [1, 1]
  [2]
@@ -41,7 +41,7 @@
 ERROR: DomainError with -1:
 n must be nonnegative
 Stacktrace:
-[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
+[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
 1-element Vector{Vector{Vector{Int64}}}:
  [[1]]
 
@@ -57,7 +57,7 @@
 5
 
 julia> length(ncpartitions(6)) == catalannum(6)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
 1-element Vector{Vector{Vector{Char}}}:
  [['a'], ['b'], ['c']]
 
@@ -77,7 +77,7 @@
 3
 
 julia> length(partitions(1:10, 3)) == stirlings2(10, 3)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
 2-element Vector{Vector{Vector{Int64}}}:
  [[1, 1]]
  [[1], [1]]
@@ -96,7 +96,7 @@
  [['a'], ['b'], ['c']]
 
 julia> length(partitions(1:10)) == bellnum(10)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
 5-element Vector{Vector{Int64}}:
  [4]
  [3, 1]
@@ -120,7 +120,7 @@
 ERROR: DomainError with (4, 0):
 n and m must be positive
 Stacktrace:
-[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
+[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
 2-element Vector{Vector{Int64}}:
  [2]
  [1, 1]
@@ -142,7 +142,7 @@
  10
 
 julia> length(partitions(10))
-42
                            References
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.
                            This function computes the largest value y ≤ x that can be written as:
                            \[y = \prod a_i^{n_i}
+42

                            References

                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)

                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.

                            This function computes the largest value y ≤ x that can be written as:

                            \[y = \prod a_i^{n_i} = a_1^{n_1} a_2^{n_2} \cdots a_k^{n_k} \leq x\]

                            where $n_i$ is a non-negative integer, k is the length of Vector a.

                            Examples

                            julia> prevprod([10], 1000)   # 1000 = 10^3
 1000
@@ -154,7 +154,28 @@
 96
 
 julia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0
-1
                            source

                            Permutations

                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
+1
                            source

                            Permutations

                            Combinatorics.derangements — Method
                            derangements(a)

                            Generate all derangements of an indexable object a in lexicographic order. Because the number of derangements can be very large, this function returns an iterator object. Use collect(derangements(a)) to get an array of all derangements. Only works for a with defined length.

                            Examples

                            julia> derangements("julia") |> collect
+44-element Vector{Vector{Char}}:
+ ['u', 'j', 'i', 'a', 'l']
+ ['u', 'j', 'a', 'l', 'i']
+ ['u', 'l', 'j', 'a', 'i']
+ ['u', 'l', 'i', 'a', 'j']
+ ['u', 'l', 'a', 'j', 'i']
+ ['u', 'i', 'j', 'a', 'l']
+ ['u', 'i', 'a', 'j', 'l']
+ ['u', 'i', 'a', 'l', 'j']
+ ['u', 'a', 'j', 'l', 'i']
+ ['u', 'a', 'i', 'j', 'l']
+ ⋮
+ ['a', 'j', 'i', 'l', 'u']
+ ['a', 'l', 'j', 'u', 'i']
+ ['a', 'l', 'u', 'j', 'i']
+ ['a', 'l', 'i', 'j', 'u']
+ ['a', 'l', 'i', 'u', 'j']
+ ['a', 'i', 'j', 'u', 'l']
+ ['a', 'i', 'j', 'l', 'u']
+ ['a', 'i', 'u', 'j', 'l']
+ ['a', 'i', 'u', 'l', 'j']
                            source
                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -167,7 +188,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -184,7 +205,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)

                            In-place version of nthperm; the array a is overwritten.

                            Examples

                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -209,7 +230,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -226,7 +247,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -252,7 +273,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -263,7 +284,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -279,7 +300,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -294,9 +315,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
+ [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            +doi:10.1016/j.jsc.2003.11.001source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index 80ed363..c30d78c 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/objects.inv b/dev/objects.inv index d495c3e0dc677a2b222f19668c582afd601c374b..0070228fccd3a9da22a28a62c50fab474e51cca4 100644 GIT binary patch delta 151 zcmV;I0BHZy2iym+P6L12_EFQv+sv?LZ@arcC5#mYp3RZe&?e}bxUyvB_7&1$6@4*Q za(hct5))KSzN?1@?kxIjC|-#4*8)O{-6V~pKX5GoE#IKAN(K`zIj2A2Rr~KlamjrM z&HK&4o1=c4qENtdD7aVO#a7*+Av8B^L&Ic_^yy=a&6%Crdz%kk!h6o>`plc;{{fGQ FL4uu%PE!B? delta 142 zcmV;90CE4^2h#_zP6K~yWb5w!lrUDfYi9DP+f2|kab?M8?bD~jDt(3L=iZa*jR~p_ z+*RO#W53U|e<9Le3kWH86AKyr^=ScU+1_K73?^Q3PJhCy_Q! # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings2-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Int, k::Int)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a where a may have duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a)\n\nGenerate all permutations of an array a where a may have duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings2-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Int, k::Int)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.derangements-Tuple{Any}","page":"API reference","title":"Combinatorics.derangements","text":"derangements(a)\n\nGenerate all derangements of an indexable object a in lexicographic order. Because the number of derangements can be very large, this function returns an iterator object. Use collect(derangements(a)) to get an array of all derangements. Only works for a with defined length.\n\nExamples\n\njulia> derangements(\"julia\") |> collect\n44-element Vector{Vector{Char}}:\n ['u', 'j', 'i', 'a', 'l']\n ['u', 'j', 'a', 'l', 'i']\n ['u', 'l', 'j', 'a', 'i']\n ['u', 'l', 'i', 'a', 'j']\n ['u', 'l', 'a', 'j', 'i']\n ['u', 'i', 'j', 'a', 'l']\n ['u', 'i', 'a', 'j', 'l']\n ['u', 'i', 'a', 'l', 'j']\n ['u', 'a', 'j', 'l', 'i']\n ['u', 'a', 'i', 'j', 'l']\n ⋮\n ['a', 'j', 'i', 'l', 'u']\n ['a', 'l', 'j', 'u', 'i']\n ['a', 'l', 'u', 'j', 'i']\n ['a', 'l', 'i', 'j', 'u']\n ['a', 'l', 'i', 'u', 'j']\n ['a', 'i', 'j', 'u', 'l']\n ['a', 'i', 'j', 'l', 'u']\n ['a', 'i', 'u', 'j', 'l']\n ['a', 'i', 'u', 'l', 'j']\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a where a may have duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a)\n\nGenerate all permutations of an array a where a may have duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From bcb3b3542199235ffec88be1a3b45b0324794370 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sun, 1 Jun 2025 03:21:24 +0000 Subject: [PATCH 38/39] build based on 0ab0915 --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 44 +++++++++++++++++----------------- dev/index.html | 2 +- dev/objects.inv | Bin 988 -> 992 bytes dev/search_index.js | 2 +- 6 files changed, 26 insertions(+), 26 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index a62d9f6..c441773 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-05-10T15:32:40","documenter_version":"1.11.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-06-01T03:21:19","documenter_version":"1.11.4"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index d7fcdb2..4e9ef62 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index bf2fbc5..5611c10 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
 2-element Vector{Vector{Int64}}:
  [1, 1]
  [2]
@@ -41,7 +41,7 @@
 ERROR: DomainError with -1:
 n must be nonnegative
 Stacktrace:
-[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
+[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
 1-element Vector{Vector{Vector{Int64}}}:
  [[1]]
 
@@ -57,7 +57,7 @@
 5
 
 julia> length(ncpartitions(6)) == catalannum(6)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
 1-element Vector{Vector{Vector{Char}}}:
  [['a'], ['b'], ['c']]
 
@@ -77,7 +77,7 @@
 3
 
 julia> length(partitions(1:10, 3)) == stirlings2(10, 3)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
 2-element Vector{Vector{Vector{Int64}}}:
  [[1, 1]]
  [[1], [1]]
@@ -96,7 +96,7 @@
  [['a'], ['b'], ['c']]
 
 julia> length(partitions(1:10)) == bellnum(10)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
 5-element Vector{Vector{Int64}}:
  [4]
  [3, 1]
@@ -120,7 +120,7 @@
 ERROR: DomainError with (4, 0):
 n and m must be positive
 Stacktrace:
-[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
+[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
 2-element Vector{Vector{Int64}}:
  [2]
  [1, 1]
@@ -142,7 +142,7 @@
  10
 
 julia> length(partitions(10))
-42
                            References
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.
                            This function computes the largest value y ≤ x that can be written as:
                            \[y = \prod a_i^{n_i}
+42

                            References

                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)

                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.

                            This function computes the largest value y ≤ x that can be written as:

                            \[y = \prod a_i^{n_i} = a_1^{n_1} a_2^{n_2} \cdots a_k^{n_k} \leq x\]

                            where $n_i$ is a non-negative integer, k is the length of Vector a.

                            Examples

                            julia> prevprod([10], 1000)   # 1000 = 10^3
 1000
@@ -154,7 +154,7 @@
 96
 
 julia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0
-1
                            source

                            Permutations

                            Combinatorics.derangements — Method
                            derangements(a)

                            Generate all derangements of an indexable object a in lexicographic order. Because the number of derangements can be very large, this function returns an iterator object. Use collect(derangements(a)) to get an array of all derangements. Only works for a with defined length.

                            Examples

                            julia> derangements("julia") |> collect
+1
                            source

                            Permutations

                            Combinatorics.derangements — Method
                            derangements(a)

                            Generate all derangements of an indexable object a in lexicographic order. Because the number of derangements can be very large, this function returns an iterator object. Use collect(derangements(a)) to get an array of all derangements. Only works for a with defined length.

                            Examples

                            julia> derangements("julia") |> collect
 44-element Vector{Vector{Char}}:
  ['u', 'j', 'i', 'a', 'l']
  ['u', 'j', 'a', 'l', 'i']
@@ -175,7 +175,7 @@
  ['a', 'i', 'j', 'u', 'l']
  ['a', 'i', 'j', 'l', 'u']
  ['a', 'i', 'u', 'j', 'l']
- ['a', 'i', 'u', 'l', 'j']
                            source
                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
+ ['a', 'i', 'u', 'l', 'j']
                            source
                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -188,7 +188,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -205,7 +205,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)

                            In-place version of nthperm; the array a is overwritten.

                            Examples

                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -230,7 +230,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -247,7 +247,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -273,7 +273,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -284,7 +284,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -300,7 +300,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -315,9 +315,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
+ [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            +doi:10.1016/j.jsc.2003.11.001source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index c30d78c..c26acc0 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            diff --git a/dev/objects.inv b/dev/objects.inv index 0070228fccd3a9da22a28a62c50fab474e51cca4..2b672e1ecebdc0b137075dea5d07679af28999f7 100644 GIT binary patch delta 859 zcmV-h1El=i2jB;gl7CtdNN6vmunB1(G?l$pZgOe7Id9`be1 zIb2_#dtJgjctw%)ER` zWG29t+lW+*Ekw)>i!E?qIzQ{=F#}Vg^Rqe{^(~S6(JNhs8M?|O5+v|B|C^~PEMS6) z%T6H`5Jg?YrfYk+txGxAYaY$>p<^v5hw1*GQ^RjVYa>?Bhbd&8`bbYtXsYS<(EMRgjGb~!3MCM-Gc zD6=wwEX^u7w4^l7q%`%b?m&%F>=dg-wL4o!f<7QG^**PYscum=23Pges>#*VYMO*~ zos(N-wSNhqqjg9>PR(dj*Kmfqy6fXO2E-W4sDSjejQXjeo3v?0=wDv8{?uJ%9Zprm z!@pfTz*dvqLxF~%WxRkc{duZ^7KRD0 zA!jNZS}U=(%Sv>)e>7F}$nG_`X|=gmk4dcEyMIg(S2%*>r~EWEePl}bTdHC8K0(=) zx=_CP;;Z8!S`}7mim5|WDsnZe*enwbhbQT6>Z0l@;Ygm8O}6bk(#PA(ux4+&yPpxp z3IosjNNQ*kbWL1YvU2+s(qR>S(N=PMOH&dPR879Ch6YX+eFlmbBK@_1kYYDUY@4_;9uy}8F-G(AP=2S`cSR;^(n!8^hsDPLEoCus3-iv&D@0OrEcV}!Sm z+(YpOXnfbNo5l6r&6-p1rDIy? zsEyT?E_tva3`;JE8?`IG+fkJU9uQ2MRArf(W|=bdRWq5hx1`}ac4KkPoDU#^oovO> z9`cyNGjYi?k$Ae=g%sWvn@9>p^BZESw{P=XCSeQW{T=c3lVd};uSbBU7UCFn1LzL#d#f#x|hiP=t`GihE|zGf&@P2e={|O1x!$J z*eRp}qNt15w6=%Sx};-)_n2Y5wD$d_$CnD+)mD)tf`6)4Kbn{DX+XX`(RtxX(tQ58s*jD;u>RbWoS?6l2^~$!{Vm8SR`HLD?AY=5W9dl!8sL_NA zqY6v*J<9P+AWO#!4s$JyGbv5|YQ#{ZwK~OWQSJ8Fk)RLAOTAg@j;#BfjZ0RIx$2ZP zy_zOrU4J(Ytg_k!&@q3cAE##YWYBPijt1AqaSVttmQexeX&Lofk8aYYjYj|Wvh}C# zF6(frA|C$j;$3hx={*!^2wKLQh%s&4V%fW16H=ckg`)^lHDh|am=W3jqPbXNidlc2 zYM_N-!fVKx%7!*dtnIQAU7jCJ9X)b-4IWx;?tj%|JJ;@Arid#X!SPf6Nj80CO88r< zVf8*i*^xR>zWL&-Z%ni*tke`!ho)5IYF4pXCK?Va>1pbs>L}qzR>~&Z_EFQv+sv?L zZ@arcC5#mYp3RZe&?e}bxUyvB_7&1$6@4*Qa(hct5))KSzN?1@?kxIjC|-#4*8)O{ z-B2Wrqd#yh04?93u}TILFFB__;Z^(ZLvhJ{2+jM=!JDIgo1##_b11l1-^Etlp&>Lk hY(v9jj`ZncjLn&y+IyQ_!h6o>`plc;{{fGQL4x # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings2-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Int, k::Int)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.derangements-Tuple{Any}","page":"API reference","title":"Combinatorics.derangements","text":"derangements(a)\n\nGenerate all derangements of an indexable object a in lexicographic order. Because the number of derangements can be very large, this function returns an iterator object. Use collect(derangements(a)) to get an array of all derangements. Only works for a with defined length.\n\nExamples\n\njulia> derangements(\"julia\") |> collect\n44-element Vector{Vector{Char}}:\n ['u', 'j', 'i', 'a', 'l']\n ['u', 'j', 'a', 'l', 'i']\n ['u', 'l', 'j', 'a', 'i']\n ['u', 'l', 'i', 'a', 'j']\n ['u', 'l', 'a', 'j', 'i']\n ['u', 'i', 'j', 'a', 'l']\n ['u', 'i', 'a', 'j', 'l']\n ['u', 'i', 'a', 'l', 'j']\n ['u', 'a', 'j', 'l', 'i']\n ['u', 'a', 'i', 'j', 'l']\n ⋮\n ['a', 'j', 'i', 'l', 'u']\n ['a', 'l', 'j', 'u', 'i']\n ['a', 'l', 'u', 'j', 'i']\n ['a', 'l', 'i', 'j', 'u']\n ['a', 'l', 'i', 'u', 'j']\n ['a', 'i', 'j', 'u', 'l']\n ['a', 'i', 'j', 'l', 'u']\n ['a', 'i', 'u', 'j', 'l']\n ['a', 'i', 'u', 'l', 'j']\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a where a may have duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a)\n\nGenerate all permutations of an array a where a may have duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] +[{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/#Combinations","page":"API reference","title":"Combinations","text":"","category":"section"},{"location":"api/#Combinatorics.CoolLexCombinations","page":"API reference","title":"Combinatorics.CoolLexCombinations","text":"CoolLexCombinations\n\nProduce (nk)-combinations in cool-lex order.\n\nReference\n\nRuskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.\n\n\n\n\n\n","category":"type"},{"location":"api/#Combinatorics.combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a, n)\n\nGenerate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.combinations-Tuple{Any}","page":"API reference","title":"Combinatorics.combinations","text":"combinations(a)\n\nGenerate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_combinations","text":"multiset_combinations(a, t)\n\nGenerate all combinations of size t from an array a with possibly duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.powerset","page":"API reference","title":"Combinatorics.powerset","text":"powerset(a, min=0, max=length(a))\n\nGenerate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.with_replacement_combinations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.with_replacement_combinations","text":"with_replacement_combinations(a, t)\n\nGenerate all combinations with replacement of size t from an array a.\n\n\n\n\n\n","category":"method"},{"location":"api/#Factorials","page":"API reference","title":"Factorials","text":"","category":"section"},{"location":"api/#Base.factorial-Union{Tuple{T}, Tuple{T, T}} where T<:Integer","page":"API reference","title":"Base.factorial","text":"factorial(n, k)\n\nCompute nk.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.derangement-Tuple{Integer}","page":"API reference","title":"Combinatorics.derangement","text":"derangement(n)\n\nCompute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multinomial-Tuple","page":"API reference","title":"Combinatorics.multinomial","text":"multinomial(k...)\n\nCompute the multinomial coefficient binomnk_1k_2k_i = fracnk_1k_2 cdots k_i n = sumk_i. Throws an OverflowError when the input is too large.\n\nSee Also: binomial.\n\nExamples\n\njulia> # (x+y)^2 = x^2 + 2xy + y^2\n\njulia> multinomial(2, 0)\n1\n\njulia> multinomial(1, 1)\n2\n\njulia> multinomial(0, 2)\n1\n\njulia> multinomial(10, 10, 10, 10)\nERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64\nStacktrace:\n[...]\n\nExternal links\n\nDefinitions on DLMF\nMultinomial theorem on Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partialderangement-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partialderangement","text":"partialderangement(n, k)\n\nCompute the number of permutations of n with exactly k fixed points.\n\n\n\n\n\n","category":"method"},{"location":"api/#Multinomials","page":"API reference","title":"Multinomials","text":"","category":"section"},{"location":"api/#Combinatorics.multiexponents-Tuple{Any, Any}","page":"API reference","title":"Combinatorics.multiexponents","text":"multiexponents(m, n)\n\nReturns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.\n\nFor example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:\n\njulia> collect(multiexponents(3, 2))\n6-element Vector{Vector{Int64}}:\n [2, 0, 0]\n [1, 1, 0]\n [1, 0, 1]\n [0, 2, 0]\n [0, 1, 1]\n [0, 0, 2]\n\n\n\n\n\n","category":"method"},{"location":"api/#Numbers","page":"API reference","title":"Numbers","text":"","category":"section"},{"location":"api/#Combinatorics.bellnum-Tuple{Integer}","page":"API reference","title":"Combinatorics.bellnum","text":"bellnum(n)\n\nCompute the nth Bell number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.catalannum-Tuple{Integer}","page":"API reference","title":"Combinatorics.catalannum","text":"catalannum(n)\n\nCompute the nth Catalan number.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lassallenum-Tuple{Integer}","page":"API reference","title":"Combinatorics.lassallenum","text":"lassallenum(n)\n\nCompute the nth entry in Lassalle's sequence, OEIS entry A180874.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.lobbnum-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.lobbnum","text":"lobbnum(m,n)\n\nCompute the Lobb number L(m,n), or the generalised Catalan number given by frac2m+1m+n+1 binom2nm+n. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.narayana-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.narayana","text":"narayana(n,k)\n\nCompute the Narayana number N(n,k) given by frac1nbinomnkbinomnk-1 Wikipedia : https://en.wikipedia.org/wiki/Narayana_number\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.stirlings1","page":"API reference","title":"Combinatorics.stirlings1","text":"stirlings1(n::Integer, k::Integer)\n\nCompute the Stirling number of the first kind, s(n,k).\n\n\n\n\n\n","category":"function"},{"location":"api/#Combinatorics.stirlings2-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.stirlings2","text":"stirlings2(n::Integer, k::Integer)\n\nCompute the Stirling number of the second kind, S(n,k).\n\n\n\n\n\n","category":"method"},{"location":"api/#Partitions","page":"API reference","title":"Partitions","text":"","category":"section"},{"location":"api/#Combinatorics.integer_partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.integer_partitions","text":"integer_partitions(n)\n\nGenerates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.\n\nSee also: partitions(n::Integer)\n\nnote: Note\nThe order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.\n\nExamples\n\njulia> integer_partitions(2)\n2-element Vector{Vector{Int64}}:\n [1, 1]\n [2]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(-1)\nERROR: DomainError with -1:\nn must be nonnegative\nStacktrace:\n[...]\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.ncpartitions-Tuple{Int64}","page":"API reference","title":"Combinatorics.ncpartitions","text":"ncpartitions(n::Int)\n\nGenerates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.\n\nThe number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).\n\nSee also: catalannum\n\nExamples\n\njulia> ncpartitions(1)\n1-element Vector{Vector{Vector{Int64}}}:\n [[1]]\n\njulia> ncpartitions(3)\n5-element Vector{Vector{Vector{Int64}}}:\n [[1], [2], [3]]\n [[1], [2, 3]]\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1, 2, 3]]\n\njulia> catalannum(3)\n5\n\njulia> length(ncpartitions(6)) == catalannum(6)\ntrue\n\nReferences\n\nNoncrossing partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector, Int64}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector, m::Int)\n\nGenerate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.\n\nThe number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).\n\nSee also: stirlings2(n::Int, k::Int)\n\nExamples\n\njulia> collect(partitions('a':'c', 3))\n1-element Vector{Vector{Vector{Char}}}:\n [['a'], ['b'], ['c']]\n\njulia> collect(partitions([1, 1, 1], 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 1], [1]]\n [[1, 1], [1]]\n [[1], [1, 1]]\n\njulia> collect(partitions(1:3, 2))\n3-element Vector{Vector{Vector{Int64}}}:\n [[1, 2], [3]]\n [[1, 3], [2]]\n [[1], [2, 3]]\n\njulia> stirlings2(3, 2)\n3\n\njulia> length(partitions(1:10, 3)) == stirlings2(10, 3)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{AbstractVector}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(s::AbstractVector)\n\nGenerate all set partitions of the elements of an array s, represented as arrays of arrays.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.\n\nThe number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).\n\nSee also: bellnum\n\nExamples\n\njulia> collect(partitions([1, 1]))\n2-element Vector{Vector{Vector{Int64}}}:\n [[1, 1]]\n [[1], [1]]\n\njulia> collect(partitions(-1:-1:-2))\n2-element Vector{Vector{Vector{Int64}}}:\n [[-1, -2]]\n [[-1], [-2]]\n\njulia> collect(partitions('a':'c'))\n5-element Vector{Vector{Vector{Char}}}:\n [['a', 'b', 'c']]\n [['a', 'b'], ['c']]\n [['a', 'c'], ['b']]\n [['a'], ['b', 'c']]\n [['a'], ['b'], ['c']]\n\njulia> length(partitions(1:10)) == bellnum(10)\ntrue\n\nReferences\n\nPartition of a set - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer, Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer, m::Integer)\n\nGenerate all integer partitions of n into exactly m parts, that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n, m)).\n\nSee also: partitions(n::Integer)\n\nExamples\n\njulia> collect(partitions(4))\n5-element Vector{Vector{Int64}}:\n [4]\n [3, 1]\n [2, 2]\n [2, 1, 1]\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 2))\n2-element Vector{Vector{Int64}}:\n [3, 1]\n [2, 2]\n\njulia> collect(partitions(4, 4))\n1-element Vector{Vector{Int64}}:\n [1, 1, 1, 1]\n\njulia> collect(partitions(4, 5))\nVector{Int64}[]\n\njulia> partitions(4, 0)\nERROR: DomainError with (4, 0):\nn and m must be positive\nStacktrace:\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitions-Tuple{Integer}","page":"API reference","title":"Combinatorics.partitions","text":"partitions(n::Integer)\n\nGenerate all integer arrays that sum to n.\n\nBecause the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.\n\nThe number of partitions to generate can be efficiently computed using length(partitions(n)).\n\nSee also:\n\ninteger_partitions(n::Integer) for a non-iterator version that returns all partitions as a array\npartitions(n::Integer, m::Integer) for partitions with exactly m parts.\n\nExamples\n\njulia> collect(partitions(2))\n2-element Vector{Vector{Int64}}:\n [2]\n [1, 1]\n\njulia> collect(partitions(3))\n3-element Vector{Vector{Int64}}:\n [3]\n [2, 1]\n [1, 1, 1]\n\njulia> integer_partitions(3)\n3-element Vector{Vector{Int64}}:\n [1, 1, 1]\n [2, 1]\n [3]\n\njulia> first(partitions(10))\n1-element Vector{Int64}:\n 10\n\njulia> length(partitions(10))\n42\n\nReferences\n\nInteger partition - Wikipedia\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.prevprod-Tuple{Vector{Int64}, Any}","page":"API reference","title":"Combinatorics.prevprod","text":"prevprod(a::Vector{Int}, x)\n\nFind the largest integer not greater than x that can be expressed as a product of powers of the elements in a.\n\nThis function computes the largest value y ≤ x that can be written as:\n\ny = prod a_i^n_i\n = a_1^n_1 a_2^n_2 cdots a_k^n_k\n leq x\n\nwhere n_i is a non-negative integer, k is the length of Vector a.\n\nExamples\n\njulia> prevprod([10], 1000) # 1000 = 10^3\n1000\n\njulia> prevprod([2, 5], 30) # 25 = 2^0 * 5^2\n25\n\njulia> prevprod([2, 3], 100) # 96 = 2^5 * 3^1\n96\n\njulia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0\n1\n\n\n\n\n\n","category":"method"},{"location":"api/#Permutations","page":"API reference","title":"Permutations","text":"","category":"section"},{"location":"api/#Combinatorics.derangements-Tuple{Any}","page":"API reference","title":"Combinatorics.derangements","text":"derangements(a)\n\nGenerate all derangements of an indexable object a in lexicographic order. Because the number of derangements can be very large, this function returns an iterator object. Use collect(derangements(a)) to get an array of all derangements. Only works for a with defined length.\n\nExamples\n\njulia> derangements(\"julia\") |> collect\n44-element Vector{Vector{Char}}:\n ['u', 'j', 'i', 'a', 'l']\n ['u', 'j', 'a', 'l', 'i']\n ['u', 'l', 'j', 'a', 'i']\n ['u', 'l', 'i', 'a', 'j']\n ['u', 'l', 'a', 'j', 'i']\n ['u', 'i', 'j', 'a', 'l']\n ['u', 'i', 'a', 'j', 'l']\n ['u', 'i', 'a', 'l', 'j']\n ['u', 'a', 'j', 'l', 'i']\n ['u', 'a', 'i', 'j', 'l']\n ⋮\n ['a', 'j', 'i', 'l', 'u']\n ['a', 'l', 'j', 'u', 'i']\n ['a', 'l', 'u', 'j', 'i']\n ['a', 'l', 'i', 'j', 'u']\n ['a', 'l', 'i', 'u', 'j']\n ['a', 'i', 'j', 'u', 'l']\n ['a', 'i', 'j', 'l', 'u']\n ['a', 'i', 'u', 'j', 'l']\n ['a', 'i', 'u', 'l', 'j']\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.levicivita-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.levicivita","text":"levicivita(p)\n\nCompute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.\n\nThe parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.\n\nExamples\n\njulia> levicivita([1, 2, 3])\n1\n\njulia> levicivita([3, 2, 1])\n-1\n\njulia> levicivita([1, 1, 1])\n0\n\njulia> levicivita(collect(1:100))\n1\n\njulia> levicivita(ones(Int, 100))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a, t)\n\nGenerate all permutations of size t from an array a where a may have duplicated elements.\n\nExamples\n\njulia> collect(permutations([1,1,1], 2))\n6-element Vector{Vector{Int64}}:\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,1], 2))\n1-element Vector{Vector{Int64}}:\n [1, 1]\n\njulia> collect(multiset_permutations([1,1,2], 3))\n3-element Vector{Vector{Int64}}:\n [1, 1, 2]\n [1, 2, 1]\n [2, 1, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.multiset_permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.multiset_permutations","text":"multiset_permutations(a)\n\nGenerate all permutations of an array a where a may have duplicated elements.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm!-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm!","text":"nthperm!(a, k)\n\nIn-place version of nthperm; the array a is overwritten.\n\nExamples\n\njulia> a = [1, 2, 3];\n\njulia> collect(permutations(a))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm!(a, 3); a\n3-element Vector{Int64}:\n 2\n 1\n 3\n\njulia> nthperm!(a, 4); a\n3-element Vector{Int64}:\n 1\n 3\n 2\n\njulia> nthperm!(a, 0)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector, Integer}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(a, k)\n\nCompute the kth lexicographic permutation of the vector a.\n\nExamples\n\njulia> collect(permutations([1,2]))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> nthperm([1,2], 1)\n2-element Vector{Int64}:\n 1\n 2\n\njulia> nthperm([1,2], 2)\n2-element Vector{Int64}:\n 2\n 1\n\njulia> nthperm([1,2], 3)\nERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3\n[...]\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.nthperm-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.nthperm","text":"nthperm(p)\n\nReturn the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).\n\nExamples\n\njulia> nthperm(nthperm([1:3...], 4))\n4\n\njulia> collect(permutations([1, 2, 3]))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\njulia> nthperm([1, 2, 3])\n1\n\njulia> nthperm([3, 2, 1])\n6\n\njulia> nthperm([1, 1, 1])\nERROR: ArgumentError: argument is not a permutation\n[...]\n\njulia> nthperm(collect(1:10))\n1\n\njulia> nthperm(collect(10:-1:1))\n3628800\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.parity-Tuple{AbstractVector{<:Integer}}","page":"API reference","title":"Combinatorics.parity","text":"parity(p)\n\nCompute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.\n\nExamples\n\njulia> parity([1, 2, 3])\n0\n\njulia> parity([3, 2, 1])\n1\n\njulia> parity([1, 1, 1])\nERROR: ArgumentError: Not a permutation\n[...]\n\njulia> parity((collect(1:100)))\n0\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any, Integer}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a, t)\n\nGenerate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a\n\nExamples\n\njulia> [ (len, permutations(1:3, len)) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Any}}:\n (-1, Vector{Int64}[])\n (0, [Int64[]])\n (1, [[1], [2], [3]])\n (2, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 2))\n (3, Combinatorics.Permutations{UnitRange{Int64}}(1:3, 3))\n (4, Vector{Int64}[])\n\njulia> [ (len, collect(permutations(1:3, len))) for len in -1:4 ]\n6-element Vector{Tuple{Int64, Vector{Vector{Int64}}}}:\n (-1, [])\n (0, [[]])\n (1, [[1], [2], [3]])\n (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])\n (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])\n (4, [])\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.permutations-Tuple{Any}","page":"API reference","title":"Combinatorics.permutations","text":"permutations(a)\n\nGenerate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.\n\nExamples\n\njulia> permutations(1:2)\nCombinatorics.Permutations{UnitRange{Int64}}(1:2, 2)\n\njulia> collect(permutations(1:2))\n2-element Vector{Vector{Int64}}:\n [1, 2]\n [2, 1]\n\njulia> collect(permutations(1:3))\n6-element Vector{Vector{Int64}}:\n [1, 2, 3]\n [1, 3, 2]\n [2, 1, 3]\n [2, 3, 1]\n [3, 1, 2]\n [3, 2, 1]\n\n\n\n\n\n","category":"method"},{"location":"api/#Young-diagrams","page":"API reference","title":"Young diagrams","text":"","category":"section"},{"location":"api/#Combinatorics.MN1inner-Tuple{Vector{Int64}, Dict, Partition, Integer}","page":"API reference","title":"Combinatorics.MN1inner","text":"Recursively compute the character of the partition μ using the Murnaghan-Nakayama rule.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.character-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.character","text":"character(λ::Partition, μ::Partition)\n\nCompute the character chi^lambda(mu) of the partition μ in the λth irreducible representation (\"irrep\") of the symmetric group S_n.\n\nImplements the Murnaghan-Nakayama algorithm as described in:\n\nDan Bernstein,\n\"The computational complexity of rules for the character table of Sn\",\nJournal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.\ndoi:10.1016/j.jsc.2003.11.001\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Int64, Int64}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(a::Int, b::Int)\n\nTake two elements of a partition sequence, with a to the left of b.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.isrimhook-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.isrimhook","text":"isrimhook(ξ::SkewDiagram)\nisrimhook(λ::Partition, μ::Partition)\n\nCheck whether the given skew diagram is a rim hook.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.leglength-Tuple{Partition, Partition}","page":"API reference","title":"Combinatorics.leglength","text":"leglength(ξ::SkewDiagram)\nleglength(λ::Partition, μ::Partition)\n\nCompute the leg length for the given skew diagram.\n\nnote: Note\nStrictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.\n\n\n\n\n\n","category":"method"},{"location":"api/#Combinatorics.partitionsequence-Tuple{Partition}","page":"API reference","title":"Combinatorics.partitionsequence","text":"partitionsequence(lambda::Partition)\n\nCompute essential part of the partition sequence of lambda.\n\n\n\n\n\n","category":"method"},{"location":"README_old/#Combinatorics","page":"Combinatorics","title":"Combinatorics","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"(Image: CI) (Image: Coverage Status) (Image: codecov)","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"README_old/#Installation","page":"Combinatorics","title":"Installation","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.","category":"page"},{"location":"README_old/#Usage","page":"Combinatorics","title":"Usage","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"This library provides the following functions:","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"bellnum(n): returns the n-th Bell number; always returns a BigInt;\ncatalannum(n): returns the n-th Catalan number; always returns a BigInt;\nlobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;\nnarayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;\ncombinations(a,n): returns all combinations of n elements of indexable object a;\ncombinations(a): returns combinations of all order by chaining calls to combinations(a,n);\nderangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;\npartialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;\ndoublefactorial(n): returns the double factorial n!!; always returns a BigInt;\nfibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;\nhyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;\ninteger_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.\njacobisymbol(a,b): returns the Jacobi symbol (a/b);\nlassallenum(n): returns the nth Lassalle number An defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;\nlegendresymbol(a,p): returns the Legendre symbol (a/p);\nlucasnum(n): the n-th Lucas number; always returns a BigInt;\nmultifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;\nmultinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;\nmultiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;\nprimorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;\npowerset(a): returns all subsets of an indexable object a\nstirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.\nstirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.\nnthperm(a, k): Compute the kth lexicographic permutation of the vector a.\npermutations(a): Generate all permutations of an indexable object a in lexicographic order.","category":"page"},{"location":"README_old/#Young-diagrams","page":"Combinatorics","title":"Young diagrams","text":"","category":"section"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"Limited support for working with Young diagrams is provided.","category":"page"},{"location":"README_old/","page":"Combinatorics","title":"Combinatorics","text":"partitionsequence(a): computes partition sequence for an integer partition a\nx = a \\ b creates the skew diagram for partitions (tuples) a, b\nisrimhook(x): checks if skew diagram x is a rim hook\nleglength(x): computes leg length of rim hook x\ncharacter(a, b): computes character the partition b in the ath irrep of Sn","category":"page"},{"location":"#Getting-started","page":"Getting started","title":"Getting started","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.","category":"page"},{"location":"#Installation","page":"Getting started","title":"Installation","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.","category":"page"},{"location":"#Index","page":"Getting started","title":"Index","text":"","category":"section"},{"location":"","page":"Getting started","title":"Getting started","text":"","category":"page"}] } From a0565ef1177b2eb7c7637520840d12f8bcadcfa2 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 7 Jun 2025 14:53:49 +0000 Subject: [PATCH 39/39] build based on 2381c5b --- dev/.documenter-siteinfo.json | 2 +- dev/README_old/index.html | 2 +- dev/api/index.html | 44 +++++++++++++++++------------------ dev/index.html | 2 +- 4 files changed, 25 insertions(+), 25 deletions(-) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index c441773..01fc838 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-06-01T03:21:19","documenter_version":"1.11.4"}} \ No newline at end of file +{"documenter":{"julia_version":"1.11.5","generation_timestamp":"2025-06-07T14:53:44","documenter_version":"1.12.0"}} \ No newline at end of file diff --git a/dev/README_old/index.html b/dev/README_old/index.html index 4e9ef62..6c76c55 100644 --- a/dev/README_old/index.html +++ b/dev/README_old/index.html @@ -1,2 +1,2 @@ -Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            +Combinatorics · Combinatorics.jl
                            GitHub

                            Combinatorics

                            CI Coverage Status codecov

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the below functions.

                            Usage

                            This library provides the following functions:

                            • bellnum(n): returns the n-th Bell number; always returns a BigInt;
                            • catalannum(n): returns the n-th Catalan number; always returns a BigInt;
                            • lobbnum(m,n): returns the generalised Catalan number at m and n; always returns a BigInt;
                            • narayana(n,k): returns the general Narayana number at any given n and k; always returns a BigInt;
                            • combinations(a,n): returns all combinations of n elements of indexable object a;
                            • combinations(a): returns combinations of all order by chaining calls to combinations(a,n);
                            • derangement(n)/subfactorial(n): returns the number of permutations of n with no fixed points; always returns a BigInt;
                            • partialderangement(n, k): returns the number of permutations of n with exactly k fixed points; always returns a BigInt;
                            • doublefactorial(n): returns the double factorial n!!; always returns a BigInt;
                            • fibonaccinum(n): the n-th Fibonacci number; always returns a BigInt;
                            • hyperfactorial(n): the n-th hyperfactorial, i.e. prod([i^i for i = 2:n]; always returns a BigInt;
                            • integer_partitions(n): returns a Vector{Int} consisting of the partitions of the number n.
                            • jacobisymbol(a,b): returns the Jacobi symbol (a/b);
                            • lassallenum(n): returns the nth Lassalle number A<sub>n</sub> defined in arXiv:1009.4225 (OEIS A180874); always returns a BigInt;
                            • legendresymbol(a,p): returns the Legendre symbol (a/p);
                            • lucasnum(n): the n-th Lucas number; always returns a BigInt;
                            • multifactorial(n): returns the m-multifactorial n(!^m); always returns a BigInt;
                            • multinomial(k...): receives a tuple of k_1, ..., k_n and calculates the multinomial coefficient (n k), where n = sum(k); returns a BigInt only if given a BigInt;
                            • multiexponents(m,n): returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ;
                            • primorial(n): returns the product of all positive prime numbers <= n; always returns a BigInt;
                            • powerset(a): returns all subsets of an indexable object a
                            • stirlings1(n, k, signed=false): returns the (n,k)-th Stirling number of the first kind; the number is signed if signed is true; returns a BigInt only if given a BigInt.
                            • stirlings2(n, k): returns the (n,k)-th Stirling number of the second kind; returns a BigInt only if given a BigInt.
                            • nthperm(a, k): Compute the kth lexicographic permutation of the vector a.
                            • permutations(a): Generate all permutations of an indexable object a in lexicographic order.

                            Young diagrams

                            Limited support for working with Young diagrams is provided.

                            • partitionsequence(a): computes partition sequence for an integer partition a
                            • x = a \ b creates the skew diagram for partitions (tuples) a, b
                            • isrimhook(x): checks if skew diagram x is a rim hook
                            • leglength(x): computes leg length of rim hook x
                            • character(a, b): computes character the partition b in the ath irrep of Sn
                            diff --git a/dev/api/index.html b/dev/api/index.html index 5611c10..3f02450 100644 --- a/dev/api/index.html +++ b/dev/api/index.html @@ -1,5 +1,5 @@ -API reference · Combinatorics.jl
                            GitHub

                            API reference

                            Combinations

                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations

                            Produce $(n,k)$-combinations in cool-lex order.

                            Reference

                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.

                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)

                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.

                            source
                            Combinatorics.combinations — Method
                            combinations(a)

                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.

                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))

                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.

                            source

                            Factorials

                            Combinatorics.derangement — Method
                            derangement(n)

                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.

                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)

                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.

                            See Also: binomial.

                            Examples

                            julia> # (x+y)^2 = x^2 + 2xy + y^2
+API reference · Combinatorics.jl
                            GitHub
                            API reference
                            Combinations
                            Combinatorics.CoolLexCombinations — Type
                            CoolLexCombinations
                            Produce $(n,k)$-combinations in cool-lex order.
                            Reference
                            Ruskey, F., & Williams, A. (2009). The coolest way to generate combinations. Discrete Mathematics, 309(17), 5305-5320.
                            source
                            Combinatorics.combinations — Method
                            combinations(a, n)
                            Generate all combinations of n elements from an indexable object a. Because the number of combinations can be very large, this function returns an iterator object. Use collect(combinations(a, n)) to get an array of all combinations.
                            source
                            Combinatorics.combinations — Method
                            combinations(a)
                            Generate combinations of the elements of a of all orders. Chaining of order iterators is eager, but the sequence at each order is lazy.
                            source
                            Combinatorics.powerset — Function
                            powerset(a, min=0, max=length(a))
                            Generate all subsets of an indexable object a including the empty set, with cardinality bounded by min and max. Because the number of subsets can be very large, this function returns an iterator object. Use collect(powerset(a, min, max)) to get an array of all subsets.
                            source
                            Factorials
                            Combinatorics.derangement — Method
                            derangement(n)
                            Compute the number of permutations of n with no fixed points, also known as the subfactorial. An alias subfactorial for this function is provided for convenience.
                            source
                            Combinatorics.multinomial — Method
                            multinomial(k...)
                            Compute the multinomial coefficient $\binom{n}{k_1,k_2,...,k_i} = \frac{n!}{k_1!k_2! \cdots k_i!}, n = \sum{k_i}$. Throws an OverflowError when the input is too large.
                            See Also: binomial.
                            Examples
                            julia> # (x+y)^2 = x^2 + 2xy + y^2
 
 julia> multinomial(2, 0)
 1
@@ -13,14 +13,14 @@
 julia> multinomial(10, 10, 10, 10)
 ERROR: OverflowError: 5550996791340 * 847660528 overflowed for type Int64
 Stacktrace:
-[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
+[...]
                            External links
                            source
                            Multinomials
                            Combinatorics.multiexponents — Method
                            multiexponents(m, n)
                            Returns the exponents in the multinomial expansion (x₁ + x₂ + ... + xₘ)ⁿ.
                            For example, the expansion (x₁ + x₂ + x₃)² = x₁² + x₁x₂ + x₁x₃ + ... has the exponents:
                            julia> collect(multiexponents(3, 2))
 6-element Vector{Vector{Int64}}:
  [2, 0, 0]
  [1, 1, 0]
  [1, 0, 1]
  [0, 2, 0]
  [0, 1, 1]
- [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
+ [0, 0, 2]
                            source
                            Numbers
                            Combinatorics.lobbnum — Method
                            lobbnum(m,n)
                            Compute the Lobb number L(m,n), or the generalised Catalan number given by $\frac{2m+1}{m+n+1} \binom{2n}{m+n}$. Wikipedia : https://en.wikipedia.org/wiki/Lobb_number
                            source
                            Combinatorics.narayana — Method
                            narayana(n,k)
                            Compute the Narayana number N(n,k) given by $\frac{1}{n}\binom{n}{k}\binom{n}{k-1}$ Wikipedia : https://en.wikipedia.org/wiki/Narayana_number
                            source
                            Partitions
                            Combinatorics.integer_partitions — Method
                            integer_partitions(n)
                            Generates all partitions of the integer n as a list of integer arrays, where each partition represents a way to write n as a sum of positive integers.
                            See also: partitions(n::Integer)
                            Note
                            The order of the resulting array is consistent with that produced by the computational discrete algebra software GAP.
                            Examples
                            julia> integer_partitions(2)
 2-element Vector{Vector{Int64}}:
  [1, 1]
  [2]
@@ -41,7 +41,7 @@
 ERROR: DomainError with -1:
 n must be nonnegative
 Stacktrace:
-[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
+[...]
                            References
                            source
                            Combinatorics.ncpartitions — Method
                            ncpartitions(n::Int)
                            Generates all noncrossing partitions of a set of n elements, returning them as a Vector of partition representations.
                            The number of noncrossing partitions of an n-element set is given by the n-th Catalan number Cn: length(ncpartitions(n)) == catalannum(n).
                            See also: catalannum
                            Examples
                            julia> ncpartitions(1)
 1-element Vector{Vector{Vector{Int64}}}:
  [[1]]
 
@@ -57,7 +57,7 @@
 5
 
 julia> length(ncpartitions(6)) == catalannum(6)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector, m::Int)
                            Generate all set partitions of the elements of an array s into exactly m subsets, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s, m)) to get an array of all partitions.
                            The number of partitions into m subsets is equal to the Stirling number of the second kind, and can be efficiently computed using length(partitions(s, m)).
                            See also: stirlings2(n::Int, k::Int)
                            Examples
                            julia> collect(partitions('a':'c', 3))
 1-element Vector{Vector{Vector{Char}}}:
  [['a'], ['b'], ['c']]
 
@@ -77,7 +77,7 @@
 3
 
 julia> length(partitions(1:10, 3)) == stirlings2(10, 3)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(s::AbstractVector)
                            Generate all set partitions of the elements of an array s, represented as arrays of arrays.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(s)) to get an array of all partitions.
                            The number of partitions of an n-element set is given by the n-th Bell number Bn: length(partitions(s)) == bellnum(length(s)).
                            See also: bellnum
                            Examples
                            julia> collect(partitions([1, 1]))
 2-element Vector{Vector{Vector{Int64}}}:
  [[1, 1]]
  [[1], [1]]
@@ -96,7 +96,7 @@
  [['a'], ['b'], ['c']]
 
 julia> length(partitions(1:10)) == bellnum(10)
-true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
+true
                            References
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer, m::Integer)
                            Generate all integer partitions of n into exactly m parts, that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n, m)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n, m)).
                            See also: partitions(n::Integer)
                            Examples
                            julia> collect(partitions(4))
 5-element Vector{Vector{Int64}}:
  [4]
  [3, 1]
@@ -120,7 +120,7 @@
 ERROR: DomainError with (4, 0):
 n and m must be positive
 Stacktrace:
-[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
+[...]
                            source
                            Combinatorics.partitions — Method
                            partitions(n::Integer)
                            Generate all integer arrays that sum to n.
                            Because the number of partitions can be very large, this function returns an iterator object. Use collect(partitions(n)) to get an array of all partitions.
                            The number of partitions to generate can be efficiently computed using length(partitions(n)).
                            See also:
                            Examples
                            julia> collect(partitions(2))
 2-element Vector{Vector{Int64}}:
  [2]
  [1, 1]
@@ -142,7 +142,7 @@
  10
 
 julia> length(partitions(10))
-42
                            References
                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)
                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.
                            This function computes the largest value y ≤ x that can be written as:
                            \[y = \prod a_i^{n_i}
+42

                            References

                            source
                            Combinatorics.prevprod — Method
                            prevprod(a::Vector{Int}, x)

                            Find the largest integer not greater than x that can be expressed as a product of powers of the elements in a.

                            This function computes the largest value y ≤ x that can be written as:

                            \[y = \prod a_i^{n_i} = a_1^{n_1} a_2^{n_2} \cdots a_k^{n_k} \leq x\]

                            where $n_i$ is a non-negative integer, k is the length of Vector a.

                            Examples

                            julia> prevprod([10], 1000)   # 1000 = 10^3
 1000
@@ -154,7 +154,7 @@
 96
 
 julia> prevprod([2, 3, 5], 1) # 1 = 2^0 * 3^0 * 5^0
-1
                            source

                            Permutations

                            Combinatorics.derangements — Method
                            derangements(a)

                            Generate all derangements of an indexable object a in lexicographic order. Because the number of derangements can be very large, this function returns an iterator object. Use collect(derangements(a)) to get an array of all derangements. Only works for a with defined length.

                            Examples

                            julia> derangements("julia") |> collect
+1
                            source

                            Permutations

                            Combinatorics.derangements — Method
                            derangements(a)

                            Generate all derangements of an indexable object a in lexicographic order. Because the number of derangements can be very large, this function returns an iterator object. Use collect(derangements(a)) to get an array of all derangements. Only works for a with defined length.

                            Examples

                            julia> derangements("julia") |> collect
 44-element Vector{Vector{Char}}:
  ['u', 'j', 'i', 'a', 'l']
  ['u', 'j', 'a', 'l', 'i']
@@ -175,7 +175,7 @@
  ['a', 'i', 'j', 'u', 'l']
  ['a', 'i', 'j', 'l', 'u']
  ['a', 'i', 'u', 'j', 'l']
- ['a', 'i', 'u', 'l', 'j']
                            source
                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
+ ['a', 'i', 'u', 'l', 'j']
                            source
                            Combinatorics.levicivita — Method
                            levicivita(p)

                            Compute the Levi-Civita symbol of a permutation p. Returns 1 if the permutation is even, -1 if it is odd, and 0 otherwise.

                            The parity is computed by using the fact that a permutation is odd if and only if the number of even-length cycles is odd.

                            Examples

                            julia> levicivita([1, 2, 3])
 1
 
 julia> levicivita([3, 2, 1])
@@ -188,7 +188,7 @@
 1
 
 julia> levicivita(ones(Int, 100))
-0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
+0
                            source
                            Combinatorics.multiset_permutations — Method
                            multiset_permutations(a, t)

                            Generate all permutations of size t from an array a where a may have duplicated elements.

                            Examples

                            julia> collect(permutations([1,1,1], 2))
 6-element Vector{Vector{Int64}}:
  [1, 1]
  [1, 1]
@@ -205,7 +205,7 @@
 3-element Vector{Vector{Int64}}:
  [1, 1, 2]
  [1, 2, 1]
- [2, 1, 1]
                            source
                            Combinatorics.nthperm! — Method
                            nthperm!(a, k)

                            In-place version of nthperm; the array a is overwritten.

                            Examples

                            julia> a = [1, 2, 3];
 
 julia> collect(permutations(a))
 6-element Vector{Vector{Int64}}:
@@ -230,7 +230,7 @@
 
 julia> nthperm!(a, 0)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 6, got 0
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(a, k)

                            Compute the kth lexicographic permutation of the vector a.

                            Examples

                            julia> collect(permutations([1,2]))
 2-element Vector{Vector{Int64}}:
  [1, 2]
  [2, 1]
@@ -247,7 +247,7 @@
 
 julia> nthperm([1,2], 3)
 ERROR: ArgumentError: permutation k must satisfy 0 < k ≤ 2, got 3
-[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
+[...]
                            source
                            Combinatorics.nthperm — Method
                            nthperm(p)

                            Return the integer k that generated permutation p. Note that nthperm(nthperm([1:n], k)) == k for 1 <= k <= factorial(n).

                            Examples

                            julia> nthperm(nthperm([1:3...], 4))
 4
 
 julia> collect(permutations([1, 2, 3]))
@@ -273,7 +273,7 @@
 1
 
 julia> nthperm(collect(10:-1:1))
-3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
+3628800
                            source
                            Combinatorics.parity — Method
                            parity(p)

                            Compute the parity of a permutation p using the levicivita function, permitting calls such as iseven(parity(p)). If p is not a permutation then an error is thrown.

                            Examples

                            julia> parity([1, 2, 3])
 0
 
 julia> parity([3, 2, 1])
@@ -284,7 +284,7 @@
 [...]
 
 julia> parity((collect(1:100)))
-0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
+0
                            source
                            Combinatorics.permutations — Method
                            permutations(a, t)

                            Generate all size t permutations of an indexable object a. Only works for a with defined length. If (t <= 0) || (t > length(a)), then returns an empty vector of eltype of a

                            Examples

                            julia> [ (len, permutations(1:3, len)) for len in -1:4 ]
 6-element Vector{Tuple{Int64, Any}}:
  (-1, Vector{Int64}[])
  (0, [Int64[]])
@@ -300,7 +300,7 @@
  (1, [[1], [2], [3]])
  (2, [[1, 2], [1, 3], [2, 1], [2, 3], [3, 1], [3, 2]])
  (3, [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
- (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
+ (4, [])
                            source
                            Combinatorics.permutations — Method
                            permutations(a)

                            Generate all permutations of an indexable object a in lexicographic order. Because the number of permutations can be very large, this function returns an iterator object. Use collect(permutations(a)) to get an array of all permutations. Only works for a with defined length.

                            Examples

                            julia> permutations(1:2)
 Combinatorics.Permutations{UnitRange{Int64}}(1:2, 2)
 
 julia> collect(permutations(1:2))
@@ -315,9 +315,9 @@
  [2, 1, 3]
  [2, 3, 1]
  [3, 1, 2]
- [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
+ [3, 2, 1]
                            source

                            Young diagrams

                            Combinatorics.character — Method
                            character(λ::Partition, μ::Partition)

                            Compute the character $\chi^{\lambda(\mu)}$ of the partition μ in the λth irreducible representation ("irrep") of the symmetric group $S_n$.

                            Implements the Murnaghan-Nakayama algorithm as described in:

                            Dan Bernstein,
 "The computational complexity of rules for the character table of Sn",
 Journal of Symbolic Computation, vol. 37 iss. 6 (2004), pp 727-748.
-doi:10.1016/j.jsc.2003.11.001
                            source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
-isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
-leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            +doi:10.1016/j.jsc.2003.11.001source
                            Combinatorics.isrimhook — Method
                            isrimhook(ξ::SkewDiagram)
+isrimhook(λ::Partition, μ::Partition)

                            Check whether the given skew diagram is a rim hook.

                            source
                            Combinatorics.leglength — Method
                            leglength(ξ::SkewDiagram)
+leglength(λ::Partition, μ::Partition)

                            Compute the leg length for the given skew diagram.

                            Note

                            Strictly speaking, the leg length is defined for rim hooks only, but here we define it for all skew diagrams.

                            source
                            diff --git a/dev/index.html b/dev/index.html index c26acc0..ee54ccf 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,2 @@ -Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index

                            +Getting started · Combinatorics.jl
                            GitHub

                            Getting started

                            A combinatorics library for Julia, focusing mostly (as of now) on enumerative combinatorics and permutations. As overflows are expected even for low values, most of the functions always return BigInt, and are marked as such below.

                            Installation

                            In the Julia REPL, type ]add Combinatorics and then using Combinatorics to access the functions listed below.

                            Index