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Added new Mathematical algorithm : Figurate Numbers #794
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -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 | ||
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| 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) | ||
| */ | ||
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| /** | ||
| * | ||
| * @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 | ||
| } | ||
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||
| /** | ||
| * | ||
| * @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 | ||
| } | ||
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| /** | ||
| * | ||
| * @param {*} number | ||
| * @returns | ||
| */ | ||
| let checkAll = (number) => { | ||
| return { | ||
| isTriangular: isTriangular(number), | ||
| isTetrahedral: isTetrahedral(number), | ||
| isPentatope: isPentatope(number) | ||
| } | ||
| } | ||
| export { isTriangular } | ||
| export { isTetrahedral } | ||
| export { isPentatope } | ||
| export { checkAll } |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,72 @@ | ||
| import { | ||
| isTriangular, | ||
| isTetrahedral, | ||
| isPentatope, | ||
| checkAll | ||
| } from '../FigurateNumber' | ||
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| describe('FigurateNumber', () => { | ||
| it('Triangular : should return true', () => { | ||
| expect(isTriangular(1)).toEqual(true) | ||
| }) | ||
| it('Triangular : should return true', () => { | ||
| expect(isTriangular(3)).toEqual(true) | ||
| }) | ||
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| it('Triangular : should return false', () => { | ||
| expect(isTriangular(5)).toEqual(false) | ||
| }) | ||
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| it('Triangular : should return true', () => { | ||
| expect(isTriangular(171)).toEqual(true) | ||
| }) | ||
| /** End */ | ||
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| it('Tetrahedral : should return true', () => { | ||
| expect(isTetrahedral(1)).toEqual(true) | ||
| }) | ||
| it('Tetrahedral : should return true', () => { | ||
| expect(isTetrahedral(4)).toEqual(true) | ||
| }) | ||
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| it('Tetrahedral : should return false', () => { | ||
| expect(isTetrahedral(3)).toEqual(false) | ||
| }) | ||
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| it('Tetrahedral : should return true', () => { | ||
| expect(isTetrahedral(165)).toEqual(true) | ||
| }) | ||
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| /** End */ | ||
| it('Pentatope : should return true', () => { | ||
| expect(isPentatope(1)).toEqual(true) | ||
| }) | ||
| it('Pentatope : should return true', () => { | ||
| expect(isPentatope(5)).toEqual(true) | ||
| }) | ||
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| it('Pentatope : should return false', () => { | ||
| expect(isPentatope(3)).toEqual(false) | ||
| }) | ||
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| it('Pentatope : should return true', () => { | ||
| expect(isPentatope(1001)).toEqual(true) | ||
| }) | ||
| /** End */ | ||
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| it('Check All : should return all true',() => { | ||
| expect(checkAll(1)).toEqual({ | ||
| isTriangular: true, | ||
| isTetrahedral: true, | ||
| isPentatope: true | ||
| }) | ||
| }) | ||
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| it('Check All : should return all true,true,false',() => { | ||
| expect(checkAll(15)).toEqual({ | ||
| isTriangular: true, | ||
| isTetrahedral: false, | ||
| isPentatope: true | ||
| }) | ||
| }) | ||
| }) |
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