Created
February 15, 2015 16:43
-
-
Save fetus-hina/2666947c884dba522913 to your computer and use it in GitHub Desktop.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
<?php | |
class MillerRabinTest { | |
public static function isPrime($number, $round = 10) { | |
$number = intval($number); | |
$round = intval($round); | |
if($number === 2) { | |
return true; | |
} | |
if($number === 1 || $number % 2 === 0) { | |
return false; | |
} | |
$d = $number - 1; | |
$s = 0; | |
while($d % 2 === 0) { | |
$d /= 2; | |
++$s; | |
} | |
for($i = 0; $i < $round; ++$i) { | |
$isProbablyPrime = false; | |
$a = mt_rand(1, $number - 1); | |
$r = self::modPow($a, $d, $number); | |
if($r === 1 || $r === $number - 1) { | |
$isProbablyPrime = true; | |
} | |
for($j = 0; !$isProbablyPrime && $j < $s; ++$j) { | |
$r = self::modPow($r, 2, $number); | |
if($r === $number - 1) { | |
$isProbablyPrime = true; | |
} | |
} | |
if(!$isProbablyPrime) { | |
return false; | |
} | |
} | |
return true; | |
} | |
private static function modPow($base, $power, $mod) { | |
$ret = 1; | |
while($power > 0) { | |
if($power % 2 === 1) { | |
$ret = ($ret * $base) % $mod; | |
} | |
$base = ($base * $base) % $mod; | |
$power /= 2; | |
} | |
return $ret; | |
} | |
} | |
for($i = 1; $i < 100; ++$i) { | |
echo $i . ": " . (MillerRabinTest::isPrime($i) ? 'prime' : 'composite') . "\n"; | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment