diff --git a/Maths/SquareRootLogarithmic.js b/Maths/SquareRootLogarithmic.js new file mode 100644 index 0000000000..e9b54aed37 --- /dev/null +++ b/Maths/SquareRootLogarithmic.js @@ -0,0 +1,41 @@ +/** + * @function squareRootLogarithmic + * @description + * Return the square root of 'num' rounded down + * to the nearest integer. + * More info: https://leetcode.com/problems/sqrtx/ + * @param {Number} num Number whose square of root is to be found + * @returns {Number} Square root + * @see [BinarySearch](https://en.wikipedia.org/wiki/Binary_search_algorithm) + * @example + * const num1 = 4 + * logarithmicSquareRoot(num1) // ====> 2 + * @example + * const num2 = 8 + * logarithmicSquareRoot(num1) // ====> 2 + * + */ +const squareRootLogarithmic = (num) => { + if (typeof num !== 'number') { + throw new Error('Input data must be numbers') + } + let answer = 0 + let sqrt = 0 + let edge = num + + while (sqrt <= edge) { + const mid = Math.trunc((sqrt + edge) / 2) + if (mid * mid === num) { + return mid + } else if (mid * mid < num) { + sqrt = mid + 1 + answer = mid + } else { + edge = mid - 1 + } + } + + return answer +} + +export { squareRootLogarithmic } diff --git a/Maths/test/SquareRootLogarithmic.test.js b/Maths/test/SquareRootLogarithmic.test.js new file mode 100644 index 0000000000..6eec49d239 --- /dev/null +++ b/Maths/test/SquareRootLogarithmic.test.js @@ -0,0 +1,13 @@ +import { squareRootLogarithmic } from '../SquareRootLogarithmic' + +describe('SquareRootLogarithmic', () => { + test('Finding the square root of a positive integer', () => { + expect(squareRootLogarithmic(4)).toEqual(2) + expect(squareRootLogarithmic(16)).toEqual(4) + expect(squareRootLogarithmic(8)).toEqual(2) + }) + test('Throwing an exception', () => { + expect(() => squareRootLogarithmic('not a number')).toThrow() + expect(() => squareRootLogarithmic(true)).toThrow() + }) +}) pFad - Phonifier reborn

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