FilesExpand file tree

 master

/

Problem002.js

Copy path

Blame

More file actions

Blame

More file actions

Latest commit

 

History

History

History

18 lines (16 loc) · 663 Bytes

 master

/

Problem002.js

Top

File metadata and controls

• Code
• Blame

18 lines (16 loc) · 663 Bytes

Raw

Copy raw file

Download raw file

Open symbols panel

Edit and raw actions

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

// https://projecteuler.net/problem=2

const SQ5 = 5 ** 0.5 // Square root of 5

const PHI = (1 + SQ5) / 2 // definition of PHI

// theoretically it should take O(1) constant amount of time as long

// arithmetic calculations are considered to be in constant amount of time

export const EvenFibonacci = (limit) => {

if (limit < 1)

throw new Error("Fibonacci sequence limit can't be less than 1")

const highestIndex = Math.floor(Math.log(limit * SQ5) / Math.log(PHI))

const n = Math.floor(highestIndex / 3)

return Math.floor(

((PHI ** (3 * n + 3) - 1) / (PHI ** 3 - 1) -

((1 - PHI) ** (3 * n + 3) - 1) / ((1 - PHI) ** 3 - 1)) /

SQ5

)

}