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algorithm: Hexagonal number #1265

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21 changes: 21 additions & 0 deletions Maths/HexagonalNumber.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,21 @@
/*
* Author: Akshay Dubey (https://github.com/itsAkshayDubey)
* Hexagonal Number: https://en.wikipedia.org/wiki/Hexagonal_number
* The nth hexagonal number hn is the number of distinct dots in a pattern of dots
* consisting of the outlines of regular hexagons with sides up to n dots, when the
* hexagons are overlaid so that they share one vertex.
*/

/**
* @function hexagonalNumber
* @description -> returns nth hexagonal number
* @param {Integer} number
* @returns {Integer} nth hexagonal number
*/

export const hexagonalNumber = (number) => {
if (number <= 0) {
throw new Error('Number must be greater than zero.')
}
return number * (2 * number - 1)
}
19 changes: 19 additions & 0 deletions Maths/test/HexagonalNumber.test.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,19 @@
import { hexagonalNumber } from '../HexagonalNumber'

const expectedValuesArray = [1, 6, 15, 28, 45, 66, 91, 120, 153, 190, 231, 276, 325, 378, 435, 496, 561, 630, 703, 780, 861, 946]

describe('Testing hexagonalNumber', () => {
for (let i = 1; i <= 22; i++) {
it('Testing for number = ' + i + ', should return ' + expectedValuesArray[i], () => {
expect(hexagonalNumber(i)).toBe(expectedValuesArray[i - 1])
})
}

it('should throw error when supplied negative numbers', () => {
expect(() => { hexagonalNumber(-1) }).toThrow(Error)
})

it('should throw error when supplied zero', () => {
expect(() => { hexagonalNumber(0) }).toThrow(Error)
})
})