Files
JavaScript/Project-Euler/Problem002.js
Roland Hummel 86d333ee94 feat: Test running overhaul, switch to Prettier & reformat everything (#1407)
* chore: Switch to Node 20 + Vitest

* chore: migrate to vitest mock functions

* chore: code style (switch to prettier)

* test: re-enable long-running test

Seems the switch to Node 20 and Vitest has vastly improved the code's and / or the test's runtime!

see #1193

* chore: code style

* chore: fix failing tests

* Updated Documentation in README.md

* Update contribution guidelines to state usage of Prettier

* fix: set prettier printWidth back to 80

* chore: apply updated code style automatically

* fix: set prettier line endings to lf again

* chore: apply updated code style automatically

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Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: Lars Müller <34514239+appgurueu@users.noreply.github.com>
2023-10-04 02:38:19 +05:30

19 lines
663 B
JavaScript

// 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
)
}