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<?php |
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/** |
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* The quasi-random generator class. |
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*/ |
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namespace CryptoManana\Randomness; |
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use CryptoManana\Core\Abstractions\Randomness\AbstractGenerator as RandomnessSource; |
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use CryptoManana\Core\Interfaces\Randomness\SeedableGeneratorInterface as SeedAction; |
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use CryptoManana\Core\StringBuilder as StringBuilder; |
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/** |
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* Class QuasiRandom - The quasi-random generator object. |
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* |
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* @package CryptoManana\Randomness |
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*/ |
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class QuasiRandom extends RandomnessSource implements SeedAction |
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{ |
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/** |
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* The maximum supported integer. |
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*/ |
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const QUASI_INT_MAX = 32767; |
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/** |
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* The minimum supported integer. |
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*/ |
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const QUASI_INT_MIN = -32768; |
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/** |
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* The quasi algorithm default leap step. |
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*/ |
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const QUASI_LEAP_STEP = 1; |
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/** |
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* The quasi algorithm default skip step. |
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*/ |
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const QUASI_SKIP_STEP = 1; |
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/** |
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* The generated integer sequence property storage for all instances. |
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* |
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* @var array Quasi-random integer sequence. |
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*/ |
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protected static $randomNumbers = []; |
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/** |
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* The generated byte sequence property storage for all instances. |
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* |
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* @var array Quasi-random byte sequence as integers. |
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*/ |
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protected static $randomBytes = []; |
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/** |
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* Pointer to the next number from the quasi sequence. |
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* |
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* @uses QuasiRandom::$randomNumbers For fetching. |
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* |
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* @var int The next position for access. |
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*/ |
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protected static $lastNumberIndex = 0; |
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/** |
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* Pointer to the next byte from the quasi sequence. |
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* |
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* @uses QuasiRandom::$randomBytes For fetching. |
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* |
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* @var int The next position for access. |
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*/ |
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protected static $lastByteIndex = 0; |
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/** |
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* The initialization seed value property storage for all instances. |
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* |
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* @var bool|int The generator's seed value. |
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*/ |
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protected static $seed = false; |
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/** |
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* Custom pseudo-random number generator used for the shuffling of internal sets. |
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* |
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* @param int $minimum The lowest value to be returned. |
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* @param int $maximum The highest value to be returned. |
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* |
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* @return int Randomly generated integer number. |
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*/ |
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protected static function internalNumberGenerator($minimum = 0, $maximum = 65535) |
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{ |
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// Seed is multiplied by a prime number and divided by modulus of a prime number |
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self::$seed = (self::$seed * 127) % 2976221 + 1; |
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// Return number in the supported range |
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return self::$seed % ($maximum - $minimum + 1) + $minimum; |
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} |
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/** |
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* Validates the given seed value and converts it to an integer. |
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* |
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* @param int|mixed $seed The initialization value. |
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* |
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* @return int The valid initialization value. |
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* @throws \Exception Validation errors. |
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*/ |
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1 |
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protected static function validateSeedValue($seed) |
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{ |
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$seed = filter_var( |
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$seed, |
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FILTER_VALIDATE_INT, |
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[ |
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"options" => [ |
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"min_range" => self::QUASI_INT_MIN, |
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"max_range" => self::QUASI_INT_MAX, |
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], |
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] |
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); |
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if ($seed === false) { |
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throw new \DomainException( |
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"The provided seed value is of invalid type or is out of the supported range." |
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); |
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} |
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return $seed; |
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} |
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/** |
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* Reset internal pointers to the first element of each internal set. |
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*/ |
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protected static function resetQuasiIndexes() |
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{ |
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self::$lastNumberIndex = 0; |
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self::$lastByteIndex = 0; |
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} |
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/** |
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* Generate an internal quasi-random numerical sequence. |
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* |
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* @param string $setName The internal static set name as a string. |
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* @param int $seed The used seed value for the internal generator. |
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* @param int $from The starting value in the range. |
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* @param int $to The ending value in the range. |
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* @param int $leapStep The leap step used. |
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* @param int $skipStep The skip step used. |
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*/ |
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protected static function createQuasiSequence($setName, $seed, $from, $to, $leapStep, $skipStep) |
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{ |
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// Set the seed value used for shuffling operations |
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self::$seed = $seed; |
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// Generate range with leap step |
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self::${$setName} = range($from, $to, $leapStep); |
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// Shuffle/scramble the numeric set |
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$count = count(self::${$setName}); |
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$lastIndex = $count - 1; |
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for ($currentIndex = 0; $currentIndex < $count; $currentIndex++) { |
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$randomIndex = self::internalNumberGenerator(0, $lastIndex); |
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$tmp = self::${$setName}[$currentIndex]; |
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self::${$setName}[$currentIndex] = self::${$setName}[$randomIndex]; |
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self::${$setName}[$randomIndex] = $tmp; |
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} |
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// Skip a few points |
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array_splice(self::${$setName}, 0, $skipStep); |
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} |
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/** |
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* Generate all needed quasi-random internal sequences. |
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* |
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* @param int $seed The used seed value for the internal generator. |
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*/ |
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protected static function generateSequences($seed) |
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{ |
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// Calculate the skip step for usage |
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$skipStep = (abs($seed) % 2 === 0) ? self::QUASI_SKIP_STEP : 0; |
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// Generate range with leap step, from -32768 to 32767 => 16 bits |
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self::createQuasiSequence( |
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'randomNumbers', |
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/** @see QuasiRandom::$randomNumbers */ |
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$seed, |
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self::QUASI_INT_MIN, |
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self::QUASI_INT_MAX, |
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self::QUASI_LEAP_STEP, |
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$skipStep |
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); |
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// Generate range with leap step, from 0 to 255 => 8 bits |
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self::createQuasiSequence( |
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'randomBytes', |
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/** @see QuasiRandom::$randomBytes */ |
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$seed, |
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0, |
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255, |
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self::QUASI_LEAP_STEP, |
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$skipStep |
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); |
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// Reset to always start from the first element of both internal sets |
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self::resetQuasiIndexes(); |
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} |
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/** |
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* Lookup method for searching in the internal integer set. |
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* |
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* @param int $minimum The lowest value to be returned. |
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* @param int $maximum The highest value to be returned. |
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* |
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* @return int|null An proper integer number or `null` if not found. |
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*/ |
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protected static function lookupSequence($minimum, $maximum) |
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{ |
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// Get the internal set size |
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$internalCount = count(self::$randomNumbers); |
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// If the whole sequence has been iterated at last call |
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if (self::$lastNumberIndex === $internalCount) { |
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self::$lastNumberIndex = 0; // Start over |
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} |
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// Lookup the sequence |
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for ($i = self::$lastNumberIndex; $i < $internalCount; $i++) { |
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// Update the lookup index and fetch the next number |
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$number = self::$randomNumbers[$i]; |
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self::$lastNumberIndex = $i + 1; |
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// If the number is in range, then return it |
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if ($number >= $minimum && $number <= $maximum) { |
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return $number; |
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} |
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} |
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// Mark as not found on this iteration |
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return null; |
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} |
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/** |
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* Internal static method for single point consumption of the randomness source that outputs integers. |
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* |
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* @param int $minimum The lowest value to be returned. |
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* @param int $maximum The highest value to be returned. |
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* |
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* @return int Randomly generated integer number. |
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*/ |
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protected static function getInteger($minimum, $maximum) |
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{ |
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// Speed optimization for internal byte generation faster access |
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if ($minimum === 0 && $maximum === 255) { |
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$integer = unpack('C', self::getEightBits(1)); |
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return reset($integer); // Always an integer |
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} |
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do { |
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// Searches for a proper number in the supported range |
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$tmpNumber = self::lookupSequence($minimum, $maximum); |
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} while ($tmpNumber === null); |
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return $tmpNumber; |
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} |
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/** |
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* Internal static method for single point consumption of the randomness source that outputs bytes. |
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* |
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* @param int $count The output string length based on the requested number of bytes. |
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* |
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* @return string Randomly generated string containing the requested number of bytes. |
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*/ |
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protected static function getEightBits($count) |
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{ |
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$tmpBytes = ''; |
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$internalCount = count(self::$randomBytes); |
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// Lookup the sequence |
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for ($i = 1; $i <= $count; $i++) { |
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// If the whole sequence has been iterated at last call |
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if (self::$lastByteIndex === $internalCount) { |
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self::$lastByteIndex = 0; // Start over |
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} |
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// Update the lookup index and fetch the next byte |
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$byte = self::$randomBytes[self::$lastByteIndex]; |
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self::$lastByteIndex = self::$lastByteIndex + 1; |
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$tmpBytes .= StringBuilder::getChr($byte); |
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} |
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return $tmpBytes; |
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} |
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/** |
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* The maximum supported integer. |
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* |
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* @return int The upper integer generation border. |
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*/ |
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public function getMaxNumber() |
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{ |
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return self::QUASI_INT_MAX; |
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} |
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/** |
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* The minimum supported integer. |
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* |
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* @return int The lower integer generation border. |
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*/ |
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public function getMinNumber() |
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{ |
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return self::QUASI_INT_MIN; |
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} |
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/** |
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* The quasi-random generator constructor. |
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* |
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* Note: This type of generator is auto-seeded on the first object creation. |
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*/ |
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30 |
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public function __construct() |
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{ |
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30 |
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parent::__construct(); |
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30 |
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if (self::$seed === false) { |
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1 |
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self::setSeed(); |
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} |
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} |
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328
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/** |
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* Get debug information for the class instance. |
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* |
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* @return array Debug information. |
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*/ |
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1 |
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public function __debugInfo() |
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334
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{ |
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1 |
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return [ |
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1 |
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'systemPrecision' => self::$systemPrecision, |
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337
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1 |
|
'quasiNumbersCount' => count(self::$randomNumbers), |
|
338
|
1 |
|
'quasiBytesCount' => count(self::$randomBytes), |
|
339
|
1 |
|
'seed' => self::$seed, |
|
340
|
1 |
|
]; |
|
341
|
|
|
} |
|
342
|
|
|
|
|
343
|
|
|
/** |
|
344
|
|
|
* Seed the generator initialization or invoke auto-seeding. |
|
345
|
|
|
* |
|
346
|
|
|
* Note: Invokes auto-seeding if the `null` value is passed. |
|
347
|
|
|
* |
|
348
|
|
|
* @param null|int $seed The initialization value. |
|
349
|
|
|
* |
|
350
|
|
|
* @throws \Exception Validation errors. |
|
351
|
|
|
*/ |
|
352
|
2 |
|
public static function setSeed($seed = null) |
|
353
|
|
|
{ |
|
354
|
|
|
// If the seed is the same, just reset internal pointers |
|
355
|
2 |
|
if (!is_bool(self::$seed) && self::$seed === $seed) { |
|
356
|
1 |
|
self::resetQuasiIndexes(); |
|
357
|
|
|
|
|
358
|
1 |
|
return; |
|
359
|
|
|
} |
|
360
|
|
|
|
|
361
|
|
|
// Seed the internal generator used for shuffling |
|
362
|
2 |
|
if (!is_null($seed)) { |
|
363
|
|
|
// Validate the input seed value |
|
364
|
1 |
|
$seed = self::validateSeedValue($seed); |
|
365
|
|
|
|
|
366
|
|
|
// Save original value before transformations |
|
367
|
1 |
|
$originalSeedValue = $seed; |
|
368
|
|
|
|
|
369
|
|
|
// Allow negative values and use them as initial for the internal shuffling |
|
370
|
1 |
|
$seed = ($seed < 0) ? QuasiRandom::QUASI_INT_MAX + 1 + (int)abs($seed) : (int)$seed; |
|
371
|
|
|
} else { |
|
372
|
|
|
// Get the seed value in the supported range |
|
373
|
1 |
|
$seed = (time() + 42) % (QuasiRandom::QUASI_INT_MAX + 1); |
|
374
|
|
|
|
|
375
|
|
|
// Save the auto-seed value |
|
376
|
1 |
|
$originalSeedValue = $seed; |
|
377
|
|
|
} |
|
378
|
|
|
|
|
379
|
|
|
// Generate internal sequences |
|
380
|
2 |
|
self::generateSequences($seed); |
|
381
|
|
|
|
|
382
|
|
|
// Set the used seed value for history |
|
383
|
2 |
|
self::$seed = $originalSeedValue; |
|
384
|
|
|
} |
|
385
|
|
|
|
|
386
|
|
|
/** |
|
387
|
|
|
* Generate a random integer number in a certain range. |
|
388
|
|
|
* |
|
389
|
|
|
* Note: Passing `null` will use the default parameter value. |
|
390
|
|
|
* |
|
391
|
|
|
* @param null|int $from The lowest value to be returned (default => 0). |
|
392
|
|
|
* @param null|int $to The highest value to be returned (default => $this->getMaxNumber()). |
|
393
|
|
|
* |
|
394
|
|
|
* @return int Randomly generated integer number. |
|
395
|
|
|
* @throws \Exception Validation errors. |
|
396
|
|
|
*/ |
|
397
|
12 |
|
public function getInt($from = 0, $to = null) |
|
398
|
|
|
{ |
|
399
|
12 |
|
$from = ($from === null) ? 0 : $from; |
|
400
|
12 |
|
$to = ($to === null) ? $this->getMaxNumber() : $to; |
|
401
|
|
|
|
|
402
|
12 |
|
$this->validateIntegerRange($from, $to); |
|
403
|
|
|
|
|
404
|
|
|
// Speed optimization for boolean type generation |
|
405
|
7 |
|
if ($from === 0 && $to === 1) { |
|
406
|
1 |
|
return (int)$this->getBool(); |
|
407
|
|
|
} |
|
408
|
|
|
|
|
409
|
7 |
|
return self::getInteger($from, $to); |
|
410
|
|
|
} |
|
411
|
|
|
|
|
412
|
|
|
/** |
|
413
|
|
|
* Generate a random byte string. |
|
414
|
|
|
* |
|
415
|
|
|
* Note: PHP represents bytes as characters to make byte strings. |
|
416
|
|
|
* |
|
417
|
|
|
* @param int $length The output string length (default => 1). |
|
418
|
|
|
* |
|
419
|
|
|
* @return string Randomly generated string containing the requested number of bytes. |
|
420
|
|
|
* @throws \Exception Validation errors. |
|
421
|
|
|
*/ |
|
422
|
6 |
|
public function getBytes($length = 1) |
|
423
|
|
|
{ |
|
424
|
6 |
|
$this->validatePositiveInteger($length); |
|
425
|
|
|
|
|
426
|
5 |
|
return self::getEightBits($length); |
|
427
|
|
|
} |
|
428
|
|
|
|
|
429
|
|
|
/** |
|
430
|
|
|
* Generate a random boolean. |
|
431
|
|
|
* |
|
432
|
|
|
* @return bool Randomly generated boolean value. |
|
433
|
|
|
* @throws \Exception Validation errors. |
|
434
|
|
|
*/ |
|
435
|
5 |
|
public function getBool() |
|
436
|
|
|
{ |
|
437
|
|
|
/** |
|
438
|
|
|
* {@internal Complete override because of the `$number % 2` is not with ~0.5 probability in the numeric set. }} |
|
439
|
|
|
*/ |
|
440
|
5 |
|
return self::getInteger(0, 255) > 127; // ~0.5 probability |
|
441
|
|
|
} |
|
442
|
|
|
} |
|
443
|
|
|
|