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Commit c39d666

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algorithm: logarithmic square root (TheAlgorithms#1259)
* algorithm: add SquareRootLogarithmic algo and a test for it * fix: fix spelling errors * refactor: rename a variable "e" --> "edge"
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‎Maths/SquareRootLogarithmic.js‎

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/**
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* @function squareRootLogarithmic
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* @description
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* Return the square root of 'num' rounded down
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* to the nearest integer.
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* More info: https://leetcode.com/problems/sqrtx/
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* @param {Number} num Number whose square of root is to be found
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* @returns {Number} Square root
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* @see [BinarySearch](https://en.wikipedia.org/wiki/Binary_search_algorithm)
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* @example
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* const num1 = 4
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* logarithmicSquareRoot(num1) // ====> 2
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* @example
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* const num2 = 8
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* logarithmicSquareRoot(num1) // ====> 2
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*
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*/
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const squareRootLogarithmic = (num) => {
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if (typeof num !== 'number') {
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throw new Error('Input data must be numbers')
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}
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let answer = 0
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let sqrt = 0
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let edge = num
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while (sqrt <= edge) {
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const mid = Math.trunc((sqrt + edge) / 2)
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if (mid * mid === num) {
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return mid
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} else if (mid * mid < num) {
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sqrt = mid + 1
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answer = mid
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} else {
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edge = mid - 1
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}
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}
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return answer
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}
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export { squareRootLogarithmic }
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import { squareRootLogarithmic } from '../SquareRootLogarithmic'
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describe('SquareRootLogarithmic', () => {
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test('Finding the square root of a positive integer', () => {
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expect(squareRootLogarithmic(4)).toEqual(2)
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expect(squareRootLogarithmic(16)).toEqual(4)
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expect(squareRootLogarithmic(8)).toEqual(2)
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})
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test('Throwing an exception', () => {
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expect(() => squareRootLogarithmic('not a number')).toThrow()
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expect(() => squareRootLogarithmic(true)).toThrow()
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})
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})

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