Added new Mathematical algorithm , Figurate Numbers

Algorithm for checking whether input number does belong to any type of figurate numbers

Maths/FigurateNumber.js

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+/**
+ 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 }

Maths/test/FigurateNumber.test.js

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+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
+    })
+  })
+})