diff --git a/Maths/FigurateNumber.js b/Maths/FigurateNumber.js new file mode 100644 index 000000000..22b8c4bfe --- /dev/null +++ b/Maths/FigurateNumber.js @@ -0,0 +1,76 @@ +/** + Problem Statment and Explanation : + Triangular => https://en.wikipedia.org/wiki/Triangular_number + Tetrahedral => https://en.wikipedia.org/wiki/Tetrahedral_number + Pentatope => https://en.wikipedia.org/wiki/Pentatope_number + + + Example: + Triangular => (0, 1, 3, 6, 10, 15, 21, 28, 36, 45) + Tetrahedral => (1, 4, 10, 20, 35, 56, 84, 120, 165,) + Pentatope => (1, 5, 15, 35, 70, 126, 210, 330, 495) + */ + +/** + * + * @param {*} number + * @returns + */ +const isTriangular = (number) => { + for (let i = 0; i <= number; i++) { + if ((i * (i + 1)) / 2 === number) { + return true + } else if ((i * (i + 1)) / 2 > number) { + return false + } + } + return false +} + +/** + * + * @param {*} number + * @returns + */ +const isTetrahedral = (number) => { + for (let i = 1; i <= number; i++) { + if ((i * (i + 1) * (i + 2)) / 6 === number) { + return true + } else if ((i * (i + 1) * (i + 2)) / 6 > number) { + return false + } + } + return false +} +/** + * + * @param {*} number + * @returns + */ +const isPentatope = (number) => { + for (let i = 1; i <= number; i++) { + if ((i * (i + 1) * (i + 2) * (i + 3)) / 24 === number) { + return true + } else if ((i * (i + 1) * (i + 2) * (i + 3)) / 24 > number) { + return false + } + } + return false +} + +/** + * + * @param {*} number + * @returns + */ +let checkAll = (number) => { + return { + isTriangular: isTriangular(number), + isTetrahedral: isTetrahedral(number), + isPentatope: isPentatope(number) + } +} +export { isTriangular } +export { isTetrahedral } +export { isPentatope } +export { checkAll } diff --git a/Maths/test/FigurateNumber.test.js b/Maths/test/FigurateNumber.test.js new file mode 100644 index 000000000..b8b5b1116 --- /dev/null +++ b/Maths/test/FigurateNumber.test.js @@ -0,0 +1,72 @@ +import { + isTriangular, + isTetrahedral, + isPentatope, + checkAll +} from '../FigurateNumber' + +describe('FigurateNumber', () => { + it('Triangular : should return true', () => { + expect(isTriangular(1)).toEqual(true) + }) + it('Triangular : should return true', () => { + expect(isTriangular(3)).toEqual(true) + }) + + it('Triangular : should return false', () => { + expect(isTriangular(5)).toEqual(false) + }) + + it('Triangular : should return true', () => { + expect(isTriangular(171)).toEqual(true) + }) + /** End */ + + it('Tetrahedral : should return true', () => { + expect(isTetrahedral(1)).toEqual(true) + }) + it('Tetrahedral : should return true', () => { + expect(isTetrahedral(4)).toEqual(true) + }) + + it('Tetrahedral : should return false', () => { + expect(isTetrahedral(3)).toEqual(false) + }) + + it('Tetrahedral : should return true', () => { + expect(isTetrahedral(165)).toEqual(true) + }) + + /** End */ + it('Pentatope : should return true', () => { + expect(isPentatope(1)).toEqual(true) + }) + it('Pentatope : should return true', () => { + expect(isPentatope(5)).toEqual(true) + }) + + it('Pentatope : should return false', () => { + expect(isPentatope(3)).toEqual(false) + }) + + it('Pentatope : should return true', () => { + expect(isPentatope(1001)).toEqual(true) + }) + /** End */ + + it('Check All : should return all true',() => { + expect(checkAll(1)).toEqual({ + isTriangular: true, + isTetrahedral: true, + isPentatope: true + }) + }) + + it('Check All : should return all true,true,false',() => { + expect(checkAll(15)).toEqual({ + isTriangular: true, + isTetrahedral: false, + isPentatope: true + }) + }) +})