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<?php |
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namespace Samsara\Fermat\Provider; |
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use JetBrains\PhpStorm\ExpectedValues; |
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use JetBrains\PhpStorm\Pure; |
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use Samsara\Fermat\Enums\RandomMode; |
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use Samsara\Fermat\Enums\RoundingMode; |
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use Samsara\Fermat\Types\Base\Interfaces\Numbers\DecimalInterface; |
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/** |
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* |
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*/ |
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class RoundingProvider |
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{ |
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private static RoundingMode $mode = RoundingMode::HalfEven; |
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private static bool $isNegative = false; |
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private static int $alt = 1; |
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private static ?string $remainder; |
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/** |
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* @param RoundingMode $mode |
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* @return void |
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*/ |
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public static function setRoundingMode( |
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RoundingMode $mode |
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): void |
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{ |
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static::$mode = $mode; |
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} |
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/** |
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* @return RoundingMode |
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*/ |
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public static function getRoundingMode(): RoundingMode |
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{ |
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return self::$mode; |
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} |
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/** |
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* @param string $decimal |
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* @param int $places |
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* @return string |
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*/ |
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public static function round(string $decimal, int $places = 0): string |
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{ |
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$carry = 0; |
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[ |
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$rawString, |
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$roundedPart, |
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$roundedPartString, |
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$otherPart, |
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$pos, |
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$wholePart, |
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$decimalPart, |
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$currentPart |
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] = self::_roundPreFormat($decimal, $places); |
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$sign = static::$isNegative ? '-' : ''; |
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$imaginary = str_ends_with($decimal, 'i') ? 'i' : ''; |
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if (empty($decimalPart) && $places >= 0) { |
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return $sign.$rawString.$imaginary; |
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} |
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do { |
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if (!array_key_exists($pos, $roundedPart)) { |
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break; |
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} |
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[$digit, $nextDigit] = self::_roundLoopStart( |
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$roundedPart, |
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$otherPart, |
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$roundedPartString, |
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$pos, |
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$carry, |
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$currentPart |
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); |
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if ($carry == 0) { |
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$carry = match (self::getRoundingMode()) { |
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RoundingMode::HalfUp => self::roundHalfUp($digit), |
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RoundingMode::HalfDown => self::roundHalfDown($digit), |
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RoundingMode::HalfOdd => self::roundHalfOdd($digit, $nextDigit), |
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RoundingMode::HalfZero => self::roundHalfZero($digit), |
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RoundingMode::HalfInf => self::roundHalfInf($digit), |
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RoundingMode::HalfRandom => self::roundRandom($digit), |
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RoundingMode::HalfAlternating => self::roundAlternating($digit), |
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RoundingMode::Ceil => self::roundCeil($digit), |
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RoundingMode::Floor => self::roundFloor($digit), |
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RoundingMode::Truncate => self::roundTruncate(), |
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RoundingMode::Stochastic => self::roundStochastic($digit), |
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default => self::roundHalfEven($digit, $nextDigit) |
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}; |
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} else { |
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if ($digit > 9) { |
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$carry = 1; |
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$roundedPart[$pos] = '0'; |
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} else { |
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$carry = 0; |
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$roundedPart[$pos] = $digit; |
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} |
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} |
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[$roundedPart, $otherPart, $pos, $carry, $currentPart] = self::_roundLoopEnd( |
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$roundedPart, |
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$otherPart, |
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$pos, |
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$carry, |
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$currentPart |
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); |
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} while ($carry == 1); |
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[$newWholePart, $newDecimalPart] = self::_roundPostFormat($currentPart, $wholePart, $roundedPart, $otherPart, $places); |
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static::$remainder = null; |
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return $sign.$newWholePart.'.'.$newDecimalPart.$imaginary; |
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} |
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#[Pure] |
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private static function nonHalfEarlyReturn(int $digit): int |
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{ |
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return $digit <=> 5; |
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} |
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private static function negativeReverser(): int |
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{ |
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if (static::$isNegative) { |
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return 1; |
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} else { |
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return 0; |
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} |
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} |
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private static function remainderCheck(): bool |
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{ |
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$remainder = static::$remainder; |
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if (is_null($remainder)) { |
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return false; |
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} |
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$remainder = str_replace('0', '', $remainder); |
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return !empty($remainder); |
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} |
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private static function roundHalfUp(int $digit): int |
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{ |
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$negative = self::negativeReverser(); |
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$remainder = self::remainderCheck(); |
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if ($negative) { |
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return $digit > 5 || ($digit == 5 && $remainder) ? 1 : 0; |
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} else { |
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return $digit > 4 ? 1 : 0; |
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} |
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} |
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private static function roundHalfDown(int $digit): int |
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{ |
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$negative = self::negativeReverser(); |
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$remainder = self::remainderCheck(); |
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if ($negative) { |
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return $digit > 4 ? 1 : 0; |
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} else { |
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return $digit > 5 || ($digit == 5 && $remainder) ? 1 : 0; |
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} |
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} |
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private static function roundHalfEven(int $digit, int $nextDigit): int |
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{ |
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$early = static::nonHalfEarlyReturn($digit); |
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$remainder = self::remainderCheck(); |
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if ($early == 0) { |
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return ($nextDigit % 2 == 0 && !$remainder) ? 0 : 1; |
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} else { |
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return $early == 1 ? 1 : 0; |
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} |
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} |
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private static function roundHalfOdd(int $digit, int $nextDigit): int |
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{ |
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$early = static::nonHalfEarlyReturn($digit); |
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$remainder = self::remainderCheck(); |
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if ($early == 0) { |
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return ($nextDigit % 2 == 1 && !$remainder) ? 0 : 1; |
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} else { |
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return $early == 1 ? 1 : 0; |
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} |
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} |
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private static function roundHalfZero(int $digit): int |
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{ |
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$remainder = self::remainderCheck(); |
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return $digit > 5 || ($digit == 5 && $remainder) ? 1 : 0; |
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} |
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#[Pure] |
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private static function roundHalfInf(int $digit): int |
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{ |
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return $digit > 4 ? 1 : 0; |
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} |
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private static function roundCeil(int $digit): int |
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{ |
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if (self::$isNegative) { |
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return 0; |
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} else { |
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return $digit == 0 ? 0 : 1; |
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} |
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} |
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private static function roundFloor(int $digit): int |
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{ |
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if (self::$isNegative) { |
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return $digit == 0 ? 0 : 1; |
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} else { |
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return 0; |
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} |
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} |
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private static function roundTruncate(): int |
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{ |
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return 0; |
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} |
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private static function roundRandom(int $digit): int |
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{ |
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$early = static::nonHalfEarlyReturn($digit); |
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$remainder = self::remainderCheck(); |
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if ($early == 0 && !$remainder) { |
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return RandomProvider::randomInt(0, 1, RandomMode::Speed)->asInt(); |
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} else { |
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return (($early == 1 || $remainder) ? 1 : 0); |
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} |
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} |
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private static function roundAlternating(int $digit): int |
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{ |
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$early = static::nonHalfEarlyReturn($digit); |
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$remainder = self::remainderCheck(); |
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if ($early == 0 && !$remainder) { |
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$val = self::$alt; |
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self::$alt = (int)!$val; |
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return $val; |
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} else { |
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return (($early == 1 || $remainder) ? 1 : 0); |
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} |
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} |
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1 |
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private static function roundStochastic(int $digit): int |
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{ |
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$remainder = static::$remainder; |
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1 |
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if (is_null($remainder)) { |
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$target = $digit; |
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$rangeMin = 0; |
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$rangeMax = 9; |
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} else { |
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$remainder = substr($remainder, 0, 3); |
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1 |
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$target = (int)($digit.$remainder); |
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$rangeMin = 0; |
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$rangeMax = (int)str_repeat('9', strlen($remainder) + 1); |
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} |
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1 |
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$random = RandomProvider::randomInt($rangeMin, $rangeMax, RandomMode::Speed)->asInt(); |
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if ($random < $target) { |
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1 |
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return 1; |
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} else { |
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1 |
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return 0; |
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} |
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} |
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/** |
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* @param string $decimal |
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* @param int $places |
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* @return array |
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*/ |
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private static function _roundPreFormat(string $decimal, int $places): array |
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{ |
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$decimal = trim(rtrim($decimal)); |
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static::$isNegative = str_starts_with($decimal, '-'); |
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297
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$rawString = str_replace('-', '', $decimal); |
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if (str_contains($rawString, '.')) { |
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[$wholePart, $decimalPart] = explode('.', $rawString); |
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} else { |
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$wholePart = $rawString; |
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933 |
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$decimalPart = ''; |
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} |
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306
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1534 |
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$absPlaces = abs($places); |
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308
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1534 |
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$currentPart = $places >= 0; |
309
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1534 |
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$roundedPart = $currentPart ? str_split($decimalPart) : str_split($wholePart); |
310
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1534 |
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$roundedPartString = $currentPart ? $decimalPart : $wholePart; |
311
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1534 |
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$otherPart = $currentPart ? str_split($wholePart) : str_split($decimalPart); |
312
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1534 |
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$baseLength = $currentPart ? strlen($decimalPart)-1 : strlen($wholePart); |
313
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1534 |
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$pos = $currentPart ? $places : $baseLength + $places; |
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315
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1534 |
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if ($currentPart) { |
316
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1522 |
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$pos = ($absPlaces > $baseLength && $places < 0) ? $baseLength : $pos; |
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} else { |
318
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12 |
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$pos = ($absPlaces >= $baseLength) ? 0 : $pos; |
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} |
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return [ |
322
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1534 |
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$rawString, |
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$roundedPart, |
324
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$roundedPartString, |
325
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$otherPart, |
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$pos, |
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$wholePart, |
328
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$decimalPart, |
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$currentPart |
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]; |
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} |
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333
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/** |
334
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* @param string $currentPart |
335
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* @param string $wholePart |
336
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* @param array $roundedPart |
337
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* @param array $otherPart |
338
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* @param int $places |
339
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* @return array |
340
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*/ |
341
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1053 |
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private static function _roundPostFormat( |
342
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string $currentPart, |
343
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string $wholePart, |
344
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array $roundedPart, |
345
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array $otherPart, |
346
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int $places |
347
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): array |
348
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{ |
349
|
1053 |
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if ($currentPart) { |
350
|
984 |
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$newDecimalPart = implode('', $roundedPart); |
351
|
984 |
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$newWholePart = implode('', $otherPart); |
352
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} else { |
353
|
369 |
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$newDecimalPart = implode('', $otherPart); |
354
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369 |
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$newWholePart = implode('', $roundedPart); |
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} |
356
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357
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1053 |
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if ($places > 0) { |
358
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989 |
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$newDecimalPart = substr($newDecimalPart, 0, $places); |
359
|
379 |
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} elseif ($places == 0) { |
360
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367 |
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$newDecimalPart = '0'; |
361
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} else { |
362
|
12 |
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$newWholePart = substr($newWholePart, 0, strlen($wholePart)+$places).str_repeat('0', $places*-1); |
363
|
12 |
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$newDecimalPart = '0'; |
364
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} |
365
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366
|
1053 |
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if (!strlen(str_replace('0', '', $newDecimalPart))) { |
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|
442 |
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$newDecimalPart = '0'; |
368
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|
} |
369
|
|
|
|
370
|
1053 |
|
return [$newWholePart, $newDecimalPart]; |
371
|
|
|
} |
372
|
|
|
|
373
|
|
|
/** |
374
|
|
|
* @param array $roundedPart |
375
|
|
|
* @param array $otherPart |
376
|
|
|
* @param string $roundedPartString |
377
|
|
|
* @param int $pos |
378
|
|
|
* @param int $carry |
379
|
|
|
* @param bool $currentPart |
380
|
|
|
* @return int[] |
381
|
|
|
*/ |
382
|
860 |
|
private static function _roundLoopStart( |
383
|
|
|
array $roundedPart, |
384
|
|
|
array $otherPart, |
385
|
|
|
string $roundedPartString, |
386
|
|
|
int $pos, |
387
|
|
|
int $carry, |
388
|
|
|
bool $currentPart |
389
|
|
|
): array |
390
|
|
|
{ |
391
|
860 |
|
$digit = (int)$roundedPart[$pos] + $carry; |
392
|
|
|
|
393
|
860 |
|
if ($carry == 0 && $digit == 5) { |
394
|
494 |
|
static::$remainder = substr($roundedPartString, $pos+1); |
|
|
|
|
395
|
|
|
} else { |
396
|
840 |
|
static::$remainder = null; |
397
|
|
|
} |
398
|
|
|
|
399
|
860 |
|
if ($pos == 0) { |
400
|
395 |
|
if ($currentPart) { |
401
|
395 |
|
$nextDigit = (int)$otherPart[count($otherPart)-1]; |
402
|
|
|
} else { |
403
|
395 |
|
$nextDigit = 0; |
404
|
|
|
} |
405
|
|
|
} else { |
406
|
816 |
|
$nextDigit = (int)$roundedPart[$pos-1]; |
407
|
|
|
} |
408
|
|
|
|
409
|
860 |
|
return [$digit, $nextDigit]; |
410
|
|
|
} |
411
|
|
|
|
412
|
|
|
/** |
413
|
|
|
* @param array $roundedPart |
414
|
|
|
* @param array $otherPart |
415
|
|
|
* @param int $pos |
416
|
|
|
* @param int $carry |
417
|
|
|
* @param bool $currentPart |
418
|
|
|
* @return array |
419
|
|
|
*/ |
420
|
860 |
|
private static function _roundLoopEnd( |
421
|
|
|
array $roundedPart, |
422
|
|
|
array $otherPart, |
423
|
|
|
int $pos, |
424
|
|
|
int $carry, |
425
|
|
|
bool $currentPart |
426
|
|
|
): array |
427
|
|
|
{ |
428
|
860 |
|
if ($pos == 0 && $carry == 1) { |
429
|
357 |
|
if ($currentPart) { |
430
|
357 |
|
$currentPart = false; |
431
|
|
|
|
432
|
|
|
// Do the variable swap dance |
433
|
357 |
|
$temp = $otherPart; |
434
|
357 |
|
$otherPart = $roundedPart; |
435
|
357 |
|
$roundedPart = $temp; |
436
|
|
|
|
437
|
357 |
|
$pos = count($roundedPart)-1; |
438
|
|
|
} else { |
439
|
27 |
|
array_unshift($roundedPart, $carry); |
440
|
357 |
|
$carry = 0; |
441
|
|
|
} |
442
|
|
|
} else { |
443
|
860 |
|
$pos -= 1; |
444
|
|
|
} |
445
|
|
|
|
446
|
860 |
|
return [$roundedPart, $otherPart, $pos, $carry, $currentPart]; |
447
|
|
|
} |
448
|
|
|
|
449
|
|
|
} |