/** * Divide two numbers and get the result of floor division and remainder * @param {number} dividend * @param {number} divisor * @returns {[result: number, remainder: number]} */ const floorDiv = (dividend, divisor) => { const remainder = dividend % divisor const result = Math.floor(dividend / divisor) return [result, remainder] } /** * Converts a string from one base to other. Loses accuracy above the value of `Number.MAX_SAFE_INTEGER`. * @param {string} stringInBaseOne String in input base * @param {string} baseOneCharacters Character set for the input base * @param {string} baseTwoCharacters Character set for the output base * @returns {string} */ const convertArbitraryBase = ( stringInBaseOne, baseOneCharacterString, baseTwoCharacterString ) => { if ( [stringInBaseOne, baseOneCharacterString, baseTwoCharacterString] .map((arg) => typeof arg) .some((type) => type !== 'string') ) { throw new TypeError('Only string arguments are allowed') } const baseOneCharacters = [...baseOneCharacterString] const baseTwoCharacters = [...baseTwoCharacterString] for (const charactersInBase of [baseOneCharacters, baseTwoCharacters]) { if (charactersInBase.length !== new Set(charactersInBase).size) { throw new TypeError( 'Duplicate characters in character set are not allowed' ) } } const reversedStringOneChars = [...stringInBaseOne].reverse() const stringOneBase = baseOneCharacters.length let value = 0 let placeValue = 1 for (const digit of reversedStringOneChars) { const digitNumber = baseOneCharacters.indexOf(digit) if (digitNumber === -1) { throw new TypeError(`Not a valid character: ${digit}`) } value += digitNumber * placeValue placeValue *= stringOneBase } const outputChars = [] const stringTwoBase = baseTwoCharacters.length while (value > 0) { const [divisionResult, remainder] = floorDiv(value, stringTwoBase) outputChars.push(baseTwoCharacters[remainder]) value = divisionResult } return outputChars.reverse().join('') || baseTwoCharacters[0] } /** * Converts a arbitrary-length string from one base to other. Doesn't lose accuracy. * @param {string} stringInBaseOne String in input base * @param {string} baseOneCharacters Character set for the input base * @param {string} baseTwoCharacters Character set for the output base * @returns {string} */ const convertArbitraryBaseBigIntVersion = ( stringInBaseOne, baseOneCharacterString, baseTwoCharacterString ) => { if ( [stringInBaseOne, baseOneCharacterString, baseTwoCharacterString] .map((arg) => typeof arg) .some((type) => type !== 'string') ) { throw new TypeError('Only string arguments are allowed') } const baseOneCharacters = [...baseOneCharacterString] const baseTwoCharacters = [...baseTwoCharacterString] for (const charactersInBase of [baseOneCharacters, baseTwoCharacters]) { if (charactersInBase.length !== new Set(charactersInBase).size) { throw new TypeError( 'Duplicate characters in character set are not allowed' ) } } const reversedStringOneChars = [...stringInBaseOne].reverse() const stringOneBase = BigInt(baseOneCharacters.length) let value = 0n let placeValue = 1n for (const digit of reversedStringOneChars) { const digitNumber = BigInt(baseOneCharacters.indexOf(digit)) if (digitNumber === -1n) { throw new TypeError(`Not a valid character: ${digit}`) } value += digitNumber * placeValue placeValue *= stringOneBase } const outputChars = [] const stringTwoBase = BigInt(baseTwoCharacters.length) while (value > 0n) { const divisionResult = value / stringTwoBase const remainder = value % stringTwoBase outputChars.push(baseTwoCharacters[remainder]) value = divisionResult } return outputChars.reverse().join('') || baseTwoCharacters[0] } export { convertArbitraryBase, convertArbitraryBaseBigIntVersion }