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PHP32.php
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<?php /** * Pure-PHP 32-bit BigInteger Engine * * PHP version 5 and 7 * * @author Jim Wigginton <terrafrost@php.net> * @copyright 2017 Jim Wigginton * @license http://www.opensource.org/licenses/mit-license.html MIT License * @link http://pear.php.net/package/Math_BigInteger */ namespace phpseclib3\Math\BigInteger\Engines; /** * Pure-PHP 32-bit Engine. * * Uses 64-bit floats if int size is 4 bits * * @author Jim Wigginton <terrafrost@php.net> */ class PHP32 extends PHP { // Constants used by PHP.php const BASE = 26; const BASE_FULL = 0x4000000; const MAX_DIGIT = 0x3FFFFFF; const MSB = 0x2000000; /** * MAX10 in greatest MAX10LEN satisfying * MAX10 = 10**MAX10LEN <= 2**BASE. */ const MAX10 = 10000000; /** * MAX10LEN in greatest MAX10LEN satisfying * MAX10 = 10**MAX10LEN <= 2**BASE. */ const MAX10LEN = 7; const MAX_DIGIT2 = 4503599627370496; /** * Initialize a PHP32 BigInteger Engine instance * * @param int $base * @see parent::initialize() */ protected function initialize($base) { if ($base != 256 && $base != -256) { return parent::initialize($base); } $val = $this->value; $this->value = []; $vals = &$this->value; $i = strlen($val); if (!$i) { return; } while (true) { $i -= 4; if ($i < 0) { if ($i == -4) { break; } $val = substr($val, 0, 4 + $i); $val = str_pad($val, 4, "\0", STR_PAD_LEFT); if ($val == "\0\0\0\0") { break; } $i = 0; } list(, $digit) = unpack('N', substr($val, $i, 4)); if ($digit < 0) { $digit += 0xFFFFFFFF + 1; } $step = count($vals) & 3; if ($step) { $digit = (int) floor($digit / pow(2, 2 * $step)); } if ($step != 3) { $digit = (int) fmod($digit, static::BASE_FULL); $i++; } $vals[] = $digit; } while (end($vals) === 0) { array_pop($vals); } reset($vals); } /** * Test for engine validity * * @see parent::__construct() * @return bool */ public static function isValidEngine() { return PHP_INT_SIZE >= 4 && !self::testJITOnWindows(); } /** * Adds two BigIntegers. * * @param PHP32 $y * @return PHP32 */ public function add(PHP32 $y) { $temp = self::addHelper($this->value, $this->is_negative, $y->value, $y->is_negative); return $this->convertToObj($temp); } /** * Subtracts two BigIntegers. * * @param PHP32 $y * @return PHP32 */ public function subtract(PHP32 $y) { $temp = self::subtractHelper($this->value, $this->is_negative, $y->value, $y->is_negative); return $this->convertToObj($temp); } /** * Multiplies two BigIntegers. * * @param PHP32 $y * @return PHP32 */ public function multiply(PHP32 $y) { $temp = self::multiplyHelper($this->value, $this->is_negative, $y->value, $y->is_negative); return $this->convertToObj($temp); } /** * Divides two BigIntegers. * * Returns an array whose first element contains the quotient and whose second element contains the * "common residue". If the remainder would be positive, the "common residue" and the remainder are the * same. If the remainder would be negative, the "common residue" is equal to the sum of the remainder * and the divisor (basically, the "common residue" is the first positive modulo). * * @param PHP32 $y * @return array{PHP32, PHP32} */ public function divide(PHP32 $y) { return $this->divideHelper($y); } /** * Calculates modular inverses. * * Say you have (30 mod 17 * x mod 17) mod 17 == 1. x can be found using modular inverses. * @param PHP32 $n * @return false|PHP32 */ public function modInverse(PHP32 $n) { return $this->modInverseHelper($n); } /** * Calculates modular inverses. * * Say you have (30 mod 17 * x mod 17) mod 17 == 1. x can be found using modular inverses. * @param PHP32 $n * @return PHP32[] */ public function extendedGCD(PHP32 $n) { return $this->extendedGCDHelper($n); } /** * Calculates the greatest common divisor * * Say you have 693 and 609. The GCD is 21. * * @param PHP32 $n * @return PHP32 */ public function gcd(PHP32 $n) { return $this->extendedGCD($n)['gcd']; } /** * Logical And * * @param PHP32 $x * @return PHP32 */ public function bitwise_and(PHP32 $x) { return $this->bitwiseAndHelper($x); } /** * Logical Or * * @param PHP32 $x * @return PHP32 */ public function bitwise_or(PHP32 $x) { return $this->bitwiseOrHelper($x); } /** * Logical Exclusive Or * * @param PHP32 $x * @return PHP32 */ public function bitwise_xor(PHP32 $x) { return $this->bitwiseXorHelper($x); } /** * Compares two numbers. * * Although one might think !$x->compare($y) means $x != $y, it, in fact, means the opposite. The reason for this is * demonstrated thusly: * * $x > $y: $x->compare($y) > 0 * $x < $y: $x->compare($y) < 0 * $x == $y: $x->compare($y) == 0 * * Note how the same comparison operator is used. If you want to test for equality, use $x->equals($y). * * {@internal Could return $this->subtract($x), but that's not as fast as what we do do.} * * @param PHP32 $y * @return int in case < 0 if $this is less than $y; > 0 if $this is greater than $y, and 0 if they are equal. * @see self::equals() */ public function compare(PHP32 $y) { return $this->compareHelper($this->value, $this->is_negative, $y->value, $y->is_negative); } /** * Tests the equality of two numbers. * * If you need to see if one number is greater than or less than another number, use BigInteger::compare() * * @param PHP32 $x * @return bool */ public function equals(PHP32 $x) { return $this->value === $x->value && $this->is_negative == $x->is_negative; } /** * Performs modular exponentiation. * * @param PHP32 $e * @param PHP32 $n * @return PHP32 */ public function modPow(PHP32 $e, PHP32 $n) { return $this->powModOuter($e, $n); } /** * Performs modular exponentiation. * * Alias for modPow(). * * @param PHP32 $e * @param PHP32 $n * @return PHP32 */ public function powMod(PHP32 $e, PHP32 $n) { return $this->powModOuter($e, $n); } /** * Generate a random prime number between a range * * If there's not a prime within the given range, false will be returned. * * @param PHP32 $min * @param PHP32 $max * @return false|PHP32 */ public static function randomRangePrime(PHP32 $min, PHP32 $max) { return self::randomRangePrimeOuter($min, $max); } /** * Generate a random number between a range * * Returns a random number between $min and $max where $min and $max * can be defined using one of the two methods: * * BigInteger::randomRange($min, $max) * BigInteger::randomRange($max, $min) * * @param PHP32 $min * @param PHP32 $max * @return PHP32 */ public static function randomRange(PHP32 $min, PHP32 $max) { return self::randomRangeHelper($min, $max); } /** * Performs exponentiation. * * @param PHP32 $n * @return PHP32 */ public function pow(PHP32 $n) { return $this->powHelper($n); } /** * Return the minimum BigInteger between an arbitrary number of BigIntegers. * * @param PHP32 ...$nums * @return PHP32 */ public static function min(PHP32 ...$nums) { return self::minHelper($nums); } /** * Return the maximum BigInteger between an arbitrary number of BigIntegers. * * @param PHP32 ...$nums * @return PHP32 */ public static function max(PHP32 ...$nums) { return self::maxHelper($nums); } /** * Tests BigInteger to see if it is between two integers, inclusive * * @param PHP32 $min * @param PHP32 $max * @return bool */ public function between(PHP32 $min, PHP32 $max) { return $this->compare($min) >= 0 && $this->compare($max) <= 0; } }