From ec34a04678df80aad99088f94a129649ddef3015 Mon Sep 17 00:00:00 2001
From: SpiderMath <71999854+SpiderMath@users.noreply.github.com>
Date: Sun, 24 Oct 2021 01:58:06 +0530
Subject: [PATCH 1/7] Added LucasSeries

---
 Maths/LucasSeries.js           | 33 +++++++++++++++++++++++++++++++++
 Maths/test/LucasSeries.test.js |  7 +++++++
 2 files changed, 40 insertions(+)
 create mode 100644 Maths/LucasSeries.js
 create mode 100644 Maths/test/LucasSeries.test.js

diff --git a/Maths/LucasSeries.js b/Maths/LucasSeries.js
new file mode 100644
index 0000000000..b6c2099f8a
--- /dev/null
+++ b/Maths/LucasSeries.js
@@ -0,0 +1,33 @@
+/*
+  Program to get the Nth Lucas Number
+  Article on Lucas Number: https://en.wikipedia.org/wiki/Lucas_number
+  Examples:
+    > loopLucas(1)
+    1
+    > loopLucas(20)
+    15127
+    > loopLucas(100)
+    792070839848372100000
+*/
+
+/**
+ * @param {Number} index The position of the number you want to get from the Lucas Series
+ */
+function loopLucas (index) {
+  // index can't be negative
+  if (index < 0) throw new RangeError('Index cannot be Negative')
+
+  // index can't be a decimal
+  if (Math.floor(index) !== index) throw new RangeError('Index cannot be a Decimal')
+
+  let a = 2
+  let b = 1
+  for (let i = 0; i < index; i++) {
+    const temp = a + b
+    a = b
+    b = temp
+  }
+  return a
+}
+
+export { loopLucas }
diff --git a/Maths/test/LucasSeries.test.js b/Maths/test/LucasSeries.test.js
new file mode 100644
index 0000000000..7482b2c56e
--- /dev/null
+++ b/Maths/test/LucasSeries.test.js
@@ -0,0 +1,7 @@
+import { loopLucas } from '../LucasSeries'
+
+describe('Nth Lucas Number', () => {
+  it('should return the 20th Lucas Number', () => {
+    expect(loopLucas(20)).toBe(15127)
+  })
+})

From cc9f0bfd2a2263c853005a47f447a4f9e905d0df Mon Sep 17 00:00:00 2001
From: SpiderMath <71999854+SpiderMath@users.noreply.github.com>
Date: Sun, 24 Oct 2021 23:49:04 +0530
Subject: [PATCH 2/7] Added more tests and renamed function

---
 Maths/LucasSeries.js           |  4 ++--
 Maths/test/LucasSeries.test.js | 12 ++++++++++--
 2 files changed, 12 insertions(+), 4 deletions(-)

diff --git a/Maths/LucasSeries.js b/Maths/LucasSeries.js
index b6c2099f8a..e3a57b73a4 100644
--- a/Maths/LucasSeries.js
+++ b/Maths/LucasSeries.js
@@ -13,7 +13,7 @@
 /**
  * @param {Number} index The position of the number you want to get from the Lucas Series
  */
-function loopLucas (index) {
+function lucas (index) {
   // index can't be negative
   if (index < 0) throw new RangeError('Index cannot be Negative')
 
@@ -30,4 +30,4 @@ function loopLucas (index) {
   return a
 }
 
-export { loopLucas }
+export { lucas }
diff --git a/Maths/test/LucasSeries.test.js b/Maths/test/LucasSeries.test.js
index 7482b2c56e..21d6d09042 100644
--- a/Maths/test/LucasSeries.test.js
+++ b/Maths/test/LucasSeries.test.js
@@ -1,7 +1,15 @@
-import { loopLucas } from '../LucasSeries'
+import { lucas } from '../LucasSeries'
 
 describe('Nth Lucas Number', () => {
   it('should return the 20th Lucas Number', () => {
-    expect(loopLucas(20)).toBe(15127)
+    expect(lucas(20)).toBe(15127)
+  })
+
+  it('should return the 20th Lucas Number', () => {
+    expect(lucas(0)).toBe(2)
+  })
+
+  it('should return the 20th Lucas Number', () => {
+    expect(lucas(100)).toBe(792070839848372100000)
   })
 })

From a43a01e856640950563a296f90581d7418334fff Mon Sep 17 00:00:00 2001
From: SpiderMath <71999854+SpiderMath@users.noreply.github.com>
Date: Mon, 25 Oct 2021 09:39:23 +0530
Subject: [PATCH 3/7] Changed RangeError to TypeError

---
 Maths/LucasSeries.js | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Maths/LucasSeries.js b/Maths/LucasSeries.js
index e3a57b73a4..11156d7210 100644
--- a/Maths/LucasSeries.js
+++ b/Maths/LucasSeries.js
@@ -15,10 +15,10 @@
  */
 function lucas (index) {
   // index can't be negative
-  if (index < 0) throw new RangeError('Index cannot be Negative')
+  if (index < 0) throw new TypeError('Index cannot be Negative')
 
   // index can't be a decimal
-  if (Math.floor(index) !== index) throw new RangeError('Index cannot be a Decimal')
+  if (Math.floor(index) !== index) throw new TypeError('Index cannot be a Decimal')
 
   let a = 2
   let b = 1

From f09aef16d8d940180c7fb151f53b1beb667dcdbe Mon Sep 17 00:00:00 2001
From: SpiderMath <71999854+SpiderMath@users.noreply.github.com>
Date: Mon, 25 Oct 2021 19:47:56 +0530
Subject: [PATCH 4/7] Added Aliquot Sum and tests

---
 Maths/AliquotSum.js           | 27 +++++++++++++++++++++++++++
 Maths/test/AliquotSum.test.js | 15 +++++++++++++++
 2 files changed, 42 insertions(+)
 create mode 100644 Maths/AliquotSum.js
 create mode 100644 Maths/test/AliquotSum.test.js

diff --git a/Maths/AliquotSum.js b/Maths/AliquotSum.js
new file mode 100644
index 0000000000..9d5429c02f
--- /dev/null
+++ b/Maths/AliquotSum.js
@@ -0,0 +1,27 @@
+/*
+  A program to calculate the Aliquot Sum of a number.
+  Article on Aliquot Sum: https://en.wikipedia.org/wiki/Aliquot_sum
+ */
+
+/**
+ * @param {Number} input The number whose aliquot sum you want to calculate
+ */
+function aliquotSum (input) {
+  // input can't be negative
+  if (input < 0) throw new TypeError('Input cannot be Negative')
+
+  // input can't be a decimal
+  if (Math.floor(input) !== input) throw new TypeError('Input cannot be a Decimal')
+
+  // Dealing with 1, which isn't a prime
+  if (input === 1) return 0
+
+  let sum = 0
+  for (let i = 1; i <= (input / 2); i++) {
+    if (input % i === 0) sum += i
+  }
+
+  return sum
+}
+
+export { aliquotSum }
diff --git a/Maths/test/AliquotSum.test.js b/Maths/test/AliquotSum.test.js
new file mode 100644
index 0000000000..cfb5919d3a
--- /dev/null
+++ b/Maths/test/AliquotSum.test.js
@@ -0,0 +1,15 @@
+import { aliquotSum } from '../AliquotSum'
+
+describe('Aliquot Sum of a Number', () => {
+  it('Aliquot Sum of 6', () => {
+    expect(aliquotSum(6)).toBe(6)
+  })
+
+  it('Aliquot Sum of -1', () => {
+    expect(aliquotSum(-1)).toThrow()
+  })
+
+  it('Aliquot Sum of 10.5', () => {
+    expect(aliquotSum(10.5)).toThrow()
+  })
+})

From e76aae2b2ed7d1da78af1e8f06fe3e856b4fc1ed Mon Sep 17 00:00:00 2001
From: Dumby <71999854+SpiderMath@users.noreply.github.com>
Date: Tue, 26 Oct 2021 00:47:23 +0530
Subject: [PATCH 5/7] Fix ALiquot tests, need to learn how to use Jest

---
 Maths/test/AliquotSum.test.js | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/Maths/test/AliquotSum.test.js b/Maths/test/AliquotSum.test.js
index cfb5919d3a..88a64299de 100644
--- a/Maths/test/AliquotSum.test.js
+++ b/Maths/test/AliquotSum.test.js
@@ -5,11 +5,11 @@ describe('Aliquot Sum of a Number', () => {
     expect(aliquotSum(6)).toBe(6)
   })
 
-  it('Aliquot Sum of -1', () => {
-    expect(aliquotSum(-1)).toThrow()
+  it('Aliquot Sum of 1', () => {
+    expect(aliquotSum(1)).toBe(0)
   })
 
-  it('Aliquot Sum of 10.5', () => {
-    expect(aliquotSum(10.5)).toThrow()
+  it('Aliquot Sum of 28', () => {
+    expect(aliquotSum(28)).toBe(28)
   })
 })

From 0551b723ffb72f796690deb6e0294f5bcc9e40d9 Mon Sep 17 00:00:00 2001
From: Dumby <71999854+SpiderMath@users.noreply.github.com>
Date: Tue, 26 Oct 2021 12:12:06 +0530
Subject: [PATCH 6/7] Added some explanation for the Aliquot sum

---
 Maths/AliquotSum.js | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/Maths/AliquotSum.js b/Maths/AliquotSum.js
index 9d5429c02f..5f61d87c55 100644
--- a/Maths/AliquotSum.js
+++ b/Maths/AliquotSum.js
@@ -1,5 +1,10 @@
 /*
   A program to calculate the Aliquot Sum of a number.
+  The aliquot sum of a number n, is the sum of all the proper divisors of n apart from n itself
+  For example, for the number 6
+  The divisors are 1, 2, 3 (we don't consider 6), so its aliquot sum is 1 + 2 + 3 = 6
+  1 is the only number whose aliquot sum is 0 (since its only divisor is 1 and aliquot sum of a number couldn't have itself)
+  For all prime numbers, the aliquot sum is 1, since their only divisor apart from themselves is 1
   Article on Aliquot Sum: https://en.wikipedia.org/wiki/Aliquot_sum
  */
 

From dd1a2083b8f9987251d43f967c2d95c108c931ce Mon Sep 17 00:00:00 2001
From: SpiderMath <71999854+SpiderMath@users.noreply.github.com>
Date: Tue, 26 Oct 2021 16:42:37 +0530
Subject: [PATCH 7/7] Change file names of DecimalIsolate & IsOdd to Pascal
 case

---
 Maths/{decimalIsolate.js => DecimalIsolate.js} | 0
 Maths/{isOdd.js => IsOdd.js}                   | 0
 2 files changed, 0 insertions(+), 0 deletions(-)
 rename Maths/{decimalIsolate.js => DecimalIsolate.js} (100%)
 rename Maths/{isOdd.js => IsOdd.js} (100%)

diff --git a/Maths/decimalIsolate.js b/Maths/DecimalIsolate.js
similarity index 100%
rename from Maths/decimalIsolate.js
rename to Maths/DecimalIsolate.js
diff --git a/Maths/isOdd.js b/Maths/IsOdd.js
similarity index 100%
rename from Maths/isOdd.js
rename to Maths/IsOdd.js