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Update Euler Problem 2 to ES6 standards #468

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merged 2 commits into from
Oct 16, 2020
Merged

Update Euler Problem 2 to ES6 standards #468

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e50aadc
update Problem 2 to ES6 standards Fixes: #{14}
victorialo Oct 13, 2020
c21452f
add link to problem
victorialo Oct 13, 2020
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13 changes: 5 additions & 8 deletions Project-Euler/Problem2.js
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Original file line number Diff line number Diff line change
@@ -1,16 +1,13 @@
const SQ5 = 5 ** 0.5
// Square root of 5

const PHI = (1 + SQ5) / 2
// definition of PHI
// 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
function EvenFibonacci (limit) {
const EvenFibonacci = (limit) => {
const highestIndex = Math.floor(Math.log(limit * SQ5) / Math.log(PHI))
const n = Math.floor(highestIndex / 3)
return ((PHI ** (3 * n + 3) - 1) / (PHI ** 3 - 1) -
((1 - PHI) ** (3 * n + 3) - 1) / ((1 - PHI) ** 3 - 1)) / SQ5
}
console.log(EvenFibonacci(4e6))
// Sum of Even Fibonnaci upto 4 Million
console.log(EvenFibonacci(4e6)) // Sum of even Fibonacci upto 4 Million