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43 changes: 30 additions & 13 deletions Recursive/BinarySearch.js
Original file line number Diff line number Diff line change
@@ -1,19 +1,36 @@

// https://en.wikipedia.org/wiki/Binary_search_algorithm
// Search the integer inside the sorted integers array using Binary Search Algorithm
/**
* @function BinarySearch
* @description Search the integer inside the sorted integers array using Binary Search Algorithm.
* @param {Integer[]} arr - sorted array of integers
* @param {Integer} low - The input integer
* @param {Integer} high - The input integer
* @param {Integer} searchValue - The input integer
* @return {Integer} - return index of searchValue if found else return -1.
* @see [BinarySearch](https://en.wikipedia.org/wiki/Binary_search_algorithm)
*/

export const BinarySearch = (intArr, searchQuery) => {
if (searchQuery === null || searchQuery === undefined || intArr.length === 0) {
return false
}
const binarySearch = (arr, low = 0, high = arr.length - 1, searchValue) => {
if (high >= low) {
const mid = low + Math.floor((high - low) / 2)

// If the element is present at the middle
if (arr[mid] === searchValue) {
return mid
}

const middleIndex = intArr.length === 1 ? 0 : Math.ceil(intArr.length / 2)
// If element is smaller than mid, then
// it can only be present in left subarray
if (arr[mid] > searchValue) {
return binarySearch(arr, low, mid - 1, searchValue)
}

if (intArr[middleIndex] === searchQuery) {
return true
} else if (intArr.length > 1) {
return intArr[middleIndex] < searchQuery ? BinarySearch(intArr.slice(1, middleIndex)) : BinarySearch(intArr.slice(middleIndex))
} else {
return false
// Else the element can only be present in right subarray
return binarySearch(arr, mid + 1, high, searchValue)
}

// We reach here when element is not present in array
return -1
}

export { binarySearch }
32 changes: 32 additions & 0 deletions Recursive/test/BinarySearch.test.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,32 @@
import { binarySearch } from '../BinarySearch'

describe('BinarySearch', () => {
const arr = [2, 3, 4, 10, 25, 40, 45, 60, 100, 501, 700, 755, 800, 999]
const low = 0
const high = arr.length - 1

it('should return index 3 for searchValue 10', () => {
const searchValue = 10
expect(binarySearch(arr, low, high, searchValue)).toBe(3)
})

it('should return index 0 for searchValue 2', () => {
const searchValue = 2
expect(binarySearch(arr, low, high, searchValue)).toBe(0)
})

it('should return index 13 for searchValue 999', () => {
const searchValue = 999
expect(binarySearch(arr, low, high, searchValue)).toBe(13)
})

it('should return -1 for searchValue 1', () => {
const searchValue = 1
expect(binarySearch(arr, low, high, searchValue)).toBe(-1)
})

it('should return -1 for searchValue 1000', () => {
const searchValue = 1000
expect(binarySearch(arr, low, high, searchValue)).toBe(-1)
})
})