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+<?php
+
+/**
+ * Pure-PHP 32-bit BigInteger Engine
+ *
+ * PHP version 5 and 7
+ *
+ * @author Jim Wigginton <[email protected]>
+ * @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 <[email protected]>
+ */
+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;
+ }
+}