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Base.php
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<?php /** * Modular Exponentiation 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\BCMath; use phpseclib3\Math\BigInteger\Engines\BCMath; /** * Sliding Window Exponentiation Engine * * @author Jim Wigginton <terrafrost@php.net> */ abstract class Base extends BCMath { /** * Cache constants * * $cache[self::VARIABLE] tells us whether or not the cached data is still valid. * */ const VARIABLE = 0; /** * $cache[self::DATA] contains the cached data. * */ const DATA = 1; /** * Test for engine validity * * @return bool */ public static function isValidEngine() { return static::class != __CLASS__; } /** * Performs modular exponentiation. * * @param BCMath $x * @param BCMath $e * @param BCMath $n * @param string $class * @return BCMath */ protected static function powModHelper(BCMath $x, BCMath $e, BCMath $n, $class) { if (empty($e->value)) { $temp = new $class(); $temp->value = '1'; return $x->normalize($temp); } return $x->normalize(static::slidingWindow($x, $e, $n, $class)); } /** * Modular reduction preparation * * @param string $x * @param string $n * @param string $class * @see self::slidingWindow() * @return string */ protected static function prepareReduce($x, $n, $class) { return static::reduce($x, $n); } /** * Modular multiply * * @param string $x * @param string $y * @param string $n * @param string $class * @see self::slidingWindow() * @return string */ protected static function multiplyReduce($x, $y, $n, $class) { return static::reduce(bcmul($x, $y), $n); } /** * Modular square * * @param string $x * @param string $n * @param string $class * @see self::slidingWindow() * @return string */ protected static function squareReduce($x, $n, $class) { return static::reduce(bcmul($x, $x), $n); } }