Fibonacci Calculator
From MFSP Wiki
The script for the Fibonacci number generator. This script is the fastest one I have found as of yet.
<?php
function Fibonacci($number) {
if ($number < 1) {
return false;
}
$result[0] = 0;
$result[1] = 1;
$result[2] = 1;
for ($i = 3; $i <= $number; $i++) {
$result[$i] = bcadd($result[$i - 1], $result[$i - 2]);
unset($result[$i - 3]);
if ($i == $number) {
return $result[$i];
}
}
}
?>
Time to calculate:
10: 0.00102 sec., 2 digits 50: 0.00111 sec., 11 digits 100: 0.00118 sec., 21 digits 250: 0.00159 sec., 52 digits 500: 0.00279 sec., 105 digits 1000: 0.00505 sec., 209 digits 2500: 0.01871 sec., 523 digits 5000: 0.06050 sec., 1045 digits 10000: 0.22043 sec., 2090 digits 20000: 0.81250 sec., 4180 digits 30000: 1.77865 sec., 6270 digits 40000: 3.12176 sec., 8360 digits 50000: 4.85685 sec., 10450 digits
If you have found a faster one, please let me know.
As with all scripts here, if you re-distribute the code, I ask that you simply include the following comments beforehand:
# Script by Andre Kessler for MathForSmartyPants.com, some rights reserved. # See http://creativecommons.org/licenses/by-nc-sa/3.0/ for more info. # Please leave these comments in the script if you re-distribute them.
