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tests: Project Euler Problem 2 (#1200)
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@ -5,8 +5,10 @@ const PHI = (1 + SQ5) / 2 // definition of PHI
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// theoretically it should take O(1) constant amount of time as long
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// arithmetic calculations are considered to be in constant amount of time
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export const EvenFibonacci = (limit) => {
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if (limit < 1) throw new Error('Fibonacci sequence limit can\'t be less than 1')
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const highestIndex = Math.floor(Math.log(limit * SQ5) / Math.log(PHI))
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const n = Math.floor(highestIndex / 3)
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return ((PHI ** (3 * n + 3) - 1) / (PHI ** 3 - 1) -
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((1 - PHI) ** (3 * n + 3) - 1) / ((1 - PHI) ** 3 - 1)) / SQ5
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return Math.floor(((PHI ** (3 * n + 3) - 1) / (PHI ** 3 - 1) -
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((1 - PHI) ** (3 * n + 3) - 1) / ((1 - PHI) ** 3 - 1)) / SQ5)
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}
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14
Project-Euler/test/Problem002.test.js
Normal file
14
Project-Euler/test/Problem002.test.js
Normal file
@ -0,0 +1,14 @@
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import { EvenFibonacci } from '../Problem002'
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describe('Even Fibonacci numbers', () => {
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it('should throw error when limit is less than 1', () => {
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expect(() => EvenFibonacci(-1)).toThrowError('Fibonacci sequence limit can\'t be less than 1')
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})
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test('when limit is greater than 0', () => {
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expect(EvenFibonacci(40)).toBe(44)
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})
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// Project Euler Condition Check
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test('when limit is 4 million', () => {
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expect(EvenFibonacci(4e6)).toBe(4613732)
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})
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})
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