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<?php |
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/* |
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* The MIT License (MIT) |
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* |
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* Copyright (c) 2014-2016 Spomky-Labs |
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* |
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* This software may be modified and distributed under the terms |
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* of the MIT license. See the LICENSE file for details. |
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*/ |
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namespace Jose\Util; |
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final class BigInteger |
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{ |
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/** |
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* Holds the BigInteger's value. |
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* |
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* @var resource |
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*/ |
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private $value; |
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/** |
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* Converts base-10 and binary strings (base-256) to BigIntegers. |
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* |
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* @param $x base-10 number or base-$base number if $base set. |
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* @param int $base |
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*/ |
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public function __construct($x = 0, $base = 10) |
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{ |
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if(is_resource($x) && get_resource_type($x) == 'GMP integer') { |
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$this->value = $x; |
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return; |
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} |
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$this->value = gmp_init(0); |
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// '0' counts as empty() but when the base is 256 '0' is equal to ord('0') or 48 |
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// '0' is the only value like this per http://php.net/empty |
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if (empty($x) && (abs($base) !== 256 || $x !== '0')) { |
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return; |
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} |
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if (256 === $base) { |
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$x = '0x'.bin2hex($x); |
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$base = 16; |
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} |
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$this->value = gmp_init($x, $base); |
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} |
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/** |
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* Converts a BigInteger to a byte string (eg. base-256). |
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* |
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* @return string |
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*/ |
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public function toBytes() |
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{ |
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if (gmp_cmp($this->value, gmp_init(0)) === 0) { |
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return ''; |
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} |
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$temp = gmp_strval(gmp_abs($this->value), 16); |
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$temp = (strlen($temp) & 1) ? '0'.$temp : $temp; |
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$temp = hex2bin($temp); |
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return ltrim($temp, chr(0)); |
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} |
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/** |
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* Adds two BigIntegers. |
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* |
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* @param \Jose\Util\BigInteger $y |
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* |
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* @return \Jose\Util\BigInteger |
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*/ |
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public function add(BigInteger $y) |
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{ |
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$value = gmp_add($this->value, $y->value); |
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return new static($value); |
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} |
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/** |
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* Subtracts two BigIntegers. |
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* |
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* @param \Jose\Util\BigInteger $y |
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* |
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* @return \Jose\Util\BigInteger |
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*/ |
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public function subtract(BigInteger $y) |
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{ |
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$value = gmp_sub($this->value, $y->value); |
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return new static(); |
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} |
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/** |
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* Multiplies two BigIntegers. |
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* |
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* @param \Jose\Util\BigInteger $x |
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* |
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* @return \Jose\Util\BigInteger |
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*/ |
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public function multiply(BigInteger $x) |
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{ |
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$value = gmp_mul($this->value, $x->value); |
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return new static($value); |
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} |
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/** |
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* Divides two BigIntegers. |
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* |
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* @param \Jose\Util\BigInteger $y |
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* |
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* @return \Jose\Util\BigInteger[] |
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*/ |
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public function divide(BigInteger $y) |
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{ |
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list($quotient_value, $remainder_value) = gmp_div_qr($this->value, $y->value); |
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$quotient = new static($quotient_value); |
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$remainder = new static($remainder_value); |
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if (gmp_sign($remainder->value) < 0) { |
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$remainder->value = gmp_add($remainder->value, gmp_abs($y->value)); |
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} |
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return [$quotient, $remainder]; |
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} |
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/** |
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* Performs modular exponentiation. |
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* |
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* @param \Jose\Util\BigInteger $e |
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* @param \Jose\Util\BigInteger $n |
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* |
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* @return \Jose\Util\BigInteger |
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*/ |
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public function modPow(BigInteger $e, BigInteger $n) |
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{ |
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$n = $n->abs(); |
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if ($e->compare(new static()) < 0) { |
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$e = $e->abs(); |
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$temp = $this->modInverse($n); |
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if ($temp === false) { |
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return false; |
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} |
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return $temp->modPow($e, $n); |
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} |
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$value = gmp_powm($this->value, $e->value, $n->value); |
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return new static($value); |
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} |
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/** |
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* Calculates modular inverses. |
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* |
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* @param \Jose\Util\BigInteger $n |
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* |
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* @return \Jose\Util\BigInteger|bool |
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*/ |
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public function modInverse(BigInteger $n) |
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{ |
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$value = gmp_invert($this->value, $n->value); |
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return false === $value ? false : new static($value); |
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} |
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/** |
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* Absolute value. |
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* |
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* @return \Jose\Util\BigInteger |
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*/ |
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public function abs() |
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{ |
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$value = gmp_abs($this->value); |
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return new static($value); |
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} |
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/** |
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* Compares two numbers. |
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* |
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* @param \Jose\Util\BigInteger $y |
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* |
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* @return int < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal. |
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*/ |
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public function compare(BigInteger $y) |
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{ |
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return gmp_cmp($this->value, $y->value); |
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} |
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/** |
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* Logical Left Shift. |
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* |
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* @param int $shift |
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* |
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* @return \Jose\Util\BigInteger |
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* |
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*/ |
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public function bitwise_leftShift($shift) |
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{ |
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$two = gmp_init('2'); |
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$value = gmp_mul($this->value, gmp_pow($two, $shift)); |
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return new static($value); |
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} |
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/** |
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* Generates a random BigInteger. |
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* |
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* Byte length is equal to $length. Uses \phpseclib\Crypt\Random if it's loaded and mt_rand if it's not. |
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* |
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* @param int $size |
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* |
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* @return \Jose\Util\BigInteger |
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*/ |
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private static function _random_number_helper($size) |
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{ |
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return new static(random_bytes($size), 256); |
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} |
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/** |
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* Generate a random number. |
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* |
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* @param \Jose\Util\BigInteger $min |
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* @param \Jose\Util\BigInteger $max |
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* |
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* @return \Jose\Util\BigInteger |
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*/ |
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public static function random(BigInteger $min, BigInteger $max) |
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{ |
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$compare = $max->compare($min); |
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if (!$compare) { |
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return $min; |
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} elseif ($compare < 0) { |
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$temp = $max; |
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$max = $min; |
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$min = $temp; |
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} |
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$one = new static('1'); |
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$max = $max->subtract($min->subtract($one)); |
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$size = strlen(ltrim($max->toBytes(), chr(0))); |
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$random_max = new static(chr(1).str_repeat("\0", $size), 256); |
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$random = self::_random_number_helper($size); |
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list($max_multiple) = $random_max->divide($max); |
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$max_multiple = $max_multiple->multiply($max); |
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while ($random->compare($max_multiple) >= 0) { |
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$random = $random->subtract($max_multiple); |
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$random_max = $random_max->subtract($max_multiple); |
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$random = $random->bitwise_leftShift(8); |
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$random = $random->add(self::_random_number_helper(1)); |
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$random_max = $random_max->bitwise_leftShift(8); |
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list($max_multiple) = $random_max->divide($max); |
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$max_multiple = $max_multiple->multiply($max); |
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} |
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list(, $random) = $random->divide($max); |
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return $random->add($min); |
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} |
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} |
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Our type inference engine has found an assignment to a property that is incompatible with the declared type of that property.
Either this assignment is in error or the assigned type should be added to the documentation/type hint for that property..