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Apply fixes from StyleCI
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Daniil Gentili
StyleCI Bot
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3e168a125f
commit
c15f348b68
@ -265,30 +265,30 @@ class PrimeModule
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return false;
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}
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private function primesbelow($N) {
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private function primesbelow($N)
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{
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$correction = ($N % 6 > 1) ? true : false;
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$N_Array = [$N, $N-1, $N+4, $N+3, $N+2, $N+1];
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$N = $N_Array[$N%6];
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$N_Array = [$N, $N - 1, $N + 4, $N + 3, $N + 2, $N + 1];
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$N = $N_Array[$N % 6];
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$sieve = array();
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for ($i=0; $i < (int)$N/3 ; $i++) {
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$sieve = [];
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for ($i = 0; $i < (int) $N / 3; $i++) {
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$sieve[$i] = true;
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}
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$sieve[0] = false;
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for ($i=0; $i < (int)((int)pow($N, 0.5) / 3) + 1; $i++) {
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for ($i = 0; $i < (int) ((int) pow($N, 0.5) / 3) + 1; $i++) {
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if ($sieve[$i]) {
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$k = (3 * $i + 1) | 1;
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$startIndex1 = (int)($k*$k / 3);
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$period = 2*$k;
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for ($j=$startIndex1; $j < count($sieve); $j = $j+$period) {
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$startIndex1 = (int) ($k * $k / 3);
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$period = 2 * $k;
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for ($j = $startIndex1; $j < count($sieve); $j = $j + $period) {
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$sieve[$j] = false;
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}
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$startIndex2 = (int)( ($k*$k + 4*$k - 2*$k*($i%2)) /3 );
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$period = 2*$k;
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for ($k=$startIndex2; $k < count($sieve); $k = $k+$period) {
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$startIndex2 = (int) (($k * $k + 4 * $k - 2 * $k * ($i % 2)) / 3);
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$period = 2 * $k;
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for ($k = $startIndex2; $k < count($sieve); $k = $k + $period) {
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$sieve[$k] = false;
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}
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}
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@ -296,50 +296,53 @@ class PrimeModule
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$resultArray = [2, 3];
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$t = 1;
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for ($i=1; $i < (int)($N/3) - $correction ; $i++) {
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for ($i = 1; $i < (int) ($N / 3) - $correction; $i++) {
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if ($sieve[$i]) {
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$resultArray[$t+1] = (3 * $i + 1) | 1;
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$resultArray[$t + 1] = (3 * $i + 1) | 1;
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$t++;
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}
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}
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return $resultArray;
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}
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private function isprime ($n, $precision = 7) {
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$smallprimeset = $this->primesbelow(100000);
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private function isprime($n, $precision = 7)
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{
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$smallprimeset = $this->primesbelow(100000);
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$_smallprimeset = 100000;
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if ($n == 1 || $n % 2 == 0) {
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return false;
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}
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elseif ($n < 1)
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throw new Exception("Out of bounds, first argument must be > 0");
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elseif ($n < $_smallprimeset) {
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} elseif ($n < 1) {
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throw new Exception('Out of bounds, first argument must be > 0');
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} elseif ($n < $_smallprimeset) {
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return in_array($n, $smallprimeset);
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}
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$d = $n - 1;
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$s = 0;
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while ($d % 2 == 0){
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$d = (int)($d / 2);
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while ($d % 2 == 0) {
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$d = (int) ($d / 2);
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$s += 1;
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}
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for ($i=0; $i < $precision; $i++) {
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for ($i = 0; $i < $precision; $i++) {
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// random.randrange(2, n - 2) means:
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// $a = mt_rand(2, $n - 3);
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// maybe $n would be bigger that PHP_MAX_INT
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$a = mt_rand(2, 1084);
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$x = bcpowmod($a, $d, $n);
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if ($x == 1 || $x == $n - 1) continue;
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if ($x == 1 || $x == $n - 1) {
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continue;
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}
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$flagfound = 0;
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for ($j=0; $j < $s - 1; $j++) {
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for ($j = 0; $j < $s - 1; $j++) {
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$x = bcpowmod($x, 2, $n);
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if ($x == 1){
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if ($x == 1) {
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return false;
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}
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if ($x == $n - 1){
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}
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if ($x == $n - 1) {
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$flagfound = 1;
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break;
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}
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@ -348,17 +351,24 @@ class PrimeModule
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return false;
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}
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}
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return true;
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}
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private function pollard_brent($n) {
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private function pollard_brent($n)
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{
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$n = (int) $n;
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$n = (int)$n;
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if ($n % 2 == 0) {
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return 2;
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}
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if ($n % 2 == 0) return 2;
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if ( bcmod($n , 2) == 0 ) return 2;
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if ( bcmod($n , 3) == 0 ) return 3;
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if (bcmod($n, 2) == 0) {
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return 2;
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}
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if (bcmod($n, 3) == 0) {
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return 3;
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}
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// $y = mt_rand(1, $n-1);
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// $c = mt_rand(1, $n-1);
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@ -375,21 +385,21 @@ class PrimeModule
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while ($g == 1) {
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$x = $y;
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for ($i=0; $i < $r; $i++) {
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for ($i = 0; $i < $r; $i++) {
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// $y = gmp_mod( (bcpowmod($y, 2, $n) + $c) , $n);
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$y = bcmod( (bcpowmod($y, 2, $n) + $c) , $n);
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$y = bcmod((bcpowmod($y, 2, $n) + $c), $n);
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}
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$k = 0;
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while ($k < $r && $g == 1) {
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$ys= $y;
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for ($j=0; $j < min($m, $r-$k); $j++) {
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$ys = $y;
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for ($j = 0; $j < min($m, $r - $k); $j++) {
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// $y = gmp_mod( (bcpowmod($y, 2, $n) + $c), $n );
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$y = bcmod( (bcpowmod($y, 2, $n) + $c), $n );
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$y = bcmod((bcpowmod($y, 2, $n) + $c), $n);
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// $q = gmp_mod($q * abs($x-$y), $n);
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$mul = bcmul($q, abs($x-$y));
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$mul = bcmul($q, abs($x - $y));
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$q = bcmod($mul, $n);
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}
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@ -401,32 +411,32 @@ class PrimeModule
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if ($g == $n) {
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while (true) {
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// $ys = ( bcpowmod($ys, 2, $n) + $c ) % $n;
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$ys = bcmod (( bcpowmod($ys, 2, $n) + $c ) , $n);
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$g = $this->gcd2( abs($x - $ys), $n );
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$ys = bcmod((bcpowmod($ys, 2, $n) + $c), $n);
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$g = $this->gcd2(abs($x - $ys), $n);
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if ($g > 1) {
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break;
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}
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}
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}
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return $g;
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}
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public function primefactors($n, $sort = false) {
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public function primefactors($n, $sort = false)
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{
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$smallprimes = $this->primesbelow(10000);
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$factors = [];
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$limit = bcadd( bcsqrt($n) , 1);
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$limit = bcadd(bcsqrt($n), 1);
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foreach ($smallprimes as $checker) {
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if ($checker > $limit) {
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break;
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}
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// while (gmp_mod($n, $checker) == 0) {
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while ( bcmod($n, $checker) == 0 ) {
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while (bcmod($n, $checker) == 0) {
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array_push($factors, $checker);
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$n = bcdiv($n, $checker);
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$limit = bcadd( bcsqrt($n) , 1);
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$limit = bcadd(bcsqrt($n), 1);
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if ($checker > $limit) {
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break;
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}
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@ -442,29 +452,28 @@ class PrimeModule
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array_push($factors, $n);
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break;
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}
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$factor = $this->pollard_brent($n);
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$factors = array_merge($factors, $this->primefactors($factor));
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$n = (int)($n/$factor);
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$factor = $this->pollard_brent($n);
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$factors = array_merge($factors, $this->primefactors($factor));
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$n = (int) ($n / $factor);
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}
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if ($sort) {
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sort($factors);
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}
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return $factors;
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}
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private function gcd2($a, $b) {
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if ($a == $b) return $a;
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private function gcd2($a, $b)
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{
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if ($a == $b) {
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return $a;
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}
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while ($b > 0) {
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$a2 = $a;
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$a = $b;
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$b = bcmod($a2 , $b);
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$b = bcmod($a2, $b);
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}
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return $a;
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}
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}
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@ -1,6 +1,6 @@
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<?php
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require '../lib/danog/PrimeModule.php';
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$factorization = new danog\PrimeModule();
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$res = $factorization->primefactors("1278426847636566097");
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$res = $factorization->primefactors('1278426847636566097');
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print_r($res);
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?>
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