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<?php |
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declare(strict_types=1); |
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namespace BCMathExtended; |
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use Closure; |
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use InvalidArgumentException; |
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use UnexpectedValueException; |
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class BC |
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{ |
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public const COMPARE_EQUAL = 0; |
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public const COMPARE_LEFT_GRATER = 1; |
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public const COMPARE_RIGHT_GRATER = -1; |
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protected const DEFAULT_SCALE = 100; |
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protected const MAX_BASE = 256; |
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protected const BIT_OPERATOR_AND = 'and'; |
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protected const BIT_OPERATOR_OR = 'or'; |
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protected const BIT_OPERATOR_XOR = 'xor'; |
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/** |
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* @var bool |
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*/ |
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protected static $trimTrailingZeroes = true; |
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2 |
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public static function rand(string $min, string $max): string |
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{ |
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$max = static::convertScientificNotationToString($max); |
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$min = static::convertScientificNotationToString($min); |
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$difference = static::add(static::sub($max, $min), '1'); |
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$randPercent = static::div((string)mt_rand(), (string)mt_getrandmax(), 8); |
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return static::add($min, static::mul($difference, $randPercent, 8), 0); |
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} |
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445 |
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public static function convertScientificNotationToString(?string $number): string |
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{ |
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if (null === $number) { |
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return '0'; |
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} |
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// check if number is in scientific notation, first use stripos as is faster then preg_match |
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if (false !== stripos($number, 'E') && preg_match('/(-?(\d+\.)?\d+)E([+-]?)(\d+)/i', $number, $regs)) { |
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// calculate final scale of number |
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$scale = $regs[4] + static::getDecimalsLength($regs[1]); |
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$pow = static::pow('10', $regs[4], $scale); |
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if ('-' === $regs[3]) { |
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$number = static::div($regs[1], $pow, $scale); |
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} else { |
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$number = static::mul($pow, $regs[1], $scale); |
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} |
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$number = static::formatTrailingZeroes($number, $scale); |
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} |
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return static::parseNumber($number); |
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} |
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public static function getDecimalsLength(?string $number): int |
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{ |
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if (null !== $number && static::isFloat($number)) { |
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return strcspn(strrev($number), '.'); |
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} |
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return 0; |
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} |
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protected static function isFloat(string $number): bool |
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{ |
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return false !== strpos($number, '.'); |
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} |
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public static function pow(?string $base, ?string $exponent, ?int $scale = null): string |
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{ |
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$base = static::convertScientificNotationToString($base); |
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$exponent = static::convertScientificNotationToString($exponent); |
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if (static::isFloat($exponent)) { |
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$r = static::powFractional($base, $exponent, $scale); |
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} elseif (null === $scale) { |
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$r = bcpow($base, $exponent); |
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} else { |
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$r = bcpow($base, $exponent, $scale); |
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} |
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return static::formatTrailingZeroes($r, $scale); |
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} |
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protected static function powFractional(string $base, string $exponent, ?int $scale = null): string |
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{ |
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// we need to increased scale to get correct results and avoid rounding error |
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$currentScale = $scale ?? static::getScale(); |
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$increasedScale = $currentScale * 2; |
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// add zero to trim scale |
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return static::parseNumber( |
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static::add( |
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static::exp(static::mul($exponent, static::log($base), $increasedScale)), |
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'0', |
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$currentScale |
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) |
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); |
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} |
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public static function getScale(): int |
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{ |
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if (PHP_VERSION_ID >= 70300) { |
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/** @noinspection PhpStrictTypeCheckingInspection */ |
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/** @noinspection PhpParamsInspection */ |
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return bcscale(); |
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} |
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$sqrt = static::sqrt('2'); |
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return strlen(substr($sqrt, strpos($sqrt, '.') + 1)); |
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} |
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public static function sqrt(?string $number, ?int $scale = null): string |
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{ |
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$number = static::convertScientificNotationToString($number); |
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if (null === $scale) { |
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$r = bcsqrt($number); |
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} else { |
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$r = bcsqrt($number, $scale); |
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} |
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return static::formatTrailingZeroes($r, $scale); |
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} |
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protected static function formatTrailingZeroes(?string $number, ?int $scale = null): string |
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{ |
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if (null === $number) { |
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return '0'; |
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} |
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if (self::$trimTrailingZeroes) { |
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return static::trimTrailingZeroes($number); |
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} |
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// newer version of php correct add trailing zeros |
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if (PHP_VERSION_ID >= 70300) { |
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return $number; |
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} |
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// old one not so much.. |
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return self::addTrailingZeroes($number, $scale); |
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} |
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protected static function trimTrailingZeroes(?string $number): string |
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{ |
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if (null === $number) { |
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return '0'; |
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} |
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if (static::isFloat($number)) { |
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$number = rtrim($number, '0'); |
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} |
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return rtrim($number, '.') ?: '0'; |
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} |
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1 |
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protected static function addTrailingZeroes(string $number, ?int $scale): string |
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{ |
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if (null === $scale) { |
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return $number; |
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} |
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1 |
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$decimalLength = static::getDecimalsLength($number); |
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1 |
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if ($scale === $decimalLength) { |
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return $number; |
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} |
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1 |
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if (0 === $decimalLength) { |
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$number .= '.'; |
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} |
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return str_pad($number, strlen($number) + ($scale - $decimalLength), '0', STR_PAD_RIGHT); |
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} |
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protected static function parseNumber(string $number): string |
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{ |
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$number = str_replace('+', '', (string) filter_var($number, FILTER_SANITIZE_NUMBER_FLOAT, FILTER_FLAG_ALLOW_FRACTION)); |
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if ('-0' === $number || !is_numeric($number)) { |
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return '0'; |
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} |
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return $number; |
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} |
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public static function add(?string $leftOperand, ?string $rightOperand, ?int $scale = null): string |
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{ |
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$leftOperand = static::convertScientificNotationToString($leftOperand); |
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$rightOperand = static::convertScientificNotationToString($rightOperand); |
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if (null === $scale) { |
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$r = bcadd($leftOperand, $rightOperand); |
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} else { |
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$r = bcadd($leftOperand, $rightOperand, $scale); |
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} |
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return static::formatTrailingZeroes($r, $scale); |
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} |
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public static function exp(?string $number): string |
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{ |
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$scale = static::DEFAULT_SCALE; |
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$result = '1'; |
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for ($i = 299; $i > 0; --$i) { |
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$result = static::add(static::mul(static::div($result, (string)$i, $scale), $number, $scale), '1', $scale); |
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} |
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return $result; |
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} |
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public static function mul(?string $leftOperand, ?string $rightOperand, ?int $scale = null): string |
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{ |
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$leftOperand = static::convertScientificNotationToString($leftOperand); |
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$rightOperand = static::convertScientificNotationToString($rightOperand); |
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if (null === $scale) { |
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$r = bcmul($leftOperand, $rightOperand); |
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} else { |
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$r = bcmul($leftOperand, $rightOperand, $scale); |
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} |
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return static::formatTrailingZeroes($r, $scale); |
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} |
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234
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167 |
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public static function div(?string $dividend, ?string $divisor, ?int $scale = null): string |
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{ |
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167 |
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$dividend = static::convertScientificNotationToString($dividend); |
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$divisor = static::convertScientificNotationToString($divisor); |
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167 |
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if ('0' === static::trimTrailingZeroes($divisor)) { |
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throw new InvalidArgumentException('Division by zero'); |
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} |
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243
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163 |
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if (null === $scale) { |
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49 |
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$r = bcdiv($dividend, $divisor); |
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} else { |
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124 |
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$r = bcdiv($dividend, $divisor, $scale); |
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} |
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249
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163 |
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if (null === $r) { |
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throw new UnexpectedValueException('bcdiv should not return null!'); |
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} |
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252
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253
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163 |
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return static::formatTrailingZeroes($r, $scale); |
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} |
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255
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256
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15 |
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public static function log(?string $number): string |
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257
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{ |
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258
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15 |
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$number = static::convertScientificNotationToString($number); |
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259
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15 |
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if ($number === '0') { |
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260
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2 |
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return '-INF'; |
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} |
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262
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13 |
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if (static::COMPARE_RIGHT_GRATER === static::comp($number, '0')) { |
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263
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1 |
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return 'NAN'; |
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264
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} |
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265
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12 |
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$scale = static::DEFAULT_SCALE; |
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266
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12 |
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$m = (string)log((float)$number); |
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267
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12 |
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$x = static::sub(static::div($number, static::exp($m), $scale), '1', $scale); |
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268
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12 |
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$res = '0'; |
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269
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12 |
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$pow = '1'; |
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270
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12 |
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$i = 1; |
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271
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do { |
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272
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12 |
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$pow = static::mul($pow, $x, $scale); |
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273
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12 |
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$sum = static::div($pow, (string)$i, $scale); |
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274
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12 |
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if ($i % 2 === 1) { |
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275
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12 |
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$res = static::add($res, $sum, $scale); |
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276
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} else { |
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277
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11 |
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$res = static::sub($res, $sum, $scale); |
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278
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} |
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279
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12 |
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++$i; |
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280
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12 |
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} while (static::comp($sum, '0', $scale)); |
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281
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282
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12 |
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return static::add($res, $m, $scale); |
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283
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} |
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284
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285
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78 |
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public static function comp(?string $leftOperand, ?string $rightOperand, ?int $scale = null): int |
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286
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{ |
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287
|
78 |
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$leftOperand = static::convertScientificNotationToString($leftOperand); |
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288
|
78 |
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$rightOperand = static::convertScientificNotationToString($rightOperand); |
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289
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290
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78 |
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if (null === $scale) { |
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291
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61 |
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return bccomp($leftOperand, $rightOperand, max(strlen($leftOperand), strlen($rightOperand))); |
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292
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} |
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293
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294
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29 |
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return bccomp( |
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295
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29 |
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$leftOperand, |
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296
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29 |
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$rightOperand, |
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297
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29 |
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$scale |
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298
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); |
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299
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} |
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300
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301
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94 |
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public static function sub(?string $leftOperand, ?string $rightOperand, ?int $scale = null): string |
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302
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{ |
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303
|
94 |
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$leftOperand = static::convertScientificNotationToString($leftOperand); |
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304
|
94 |
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$rightOperand = static::convertScientificNotationToString($rightOperand); |
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305
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306
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94 |
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if (null === $scale) { |
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307
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51 |
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$r = bcsub($leftOperand, $rightOperand); |
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308
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} else { |
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309
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46 |
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$r = bcsub($leftOperand, $rightOperand, $scale); |
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310
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} |
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311
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312
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94 |
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return static::formatTrailingZeroes($r, $scale); |
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313
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} |
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314
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315
|
1 |
|
public static function setTrimTrailingZeroes(bool $flag): void |
|
316
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|
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{ |
|
317
|
1 |
|
self::$trimTrailingZeroes = $flag; |
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318
|
1 |
|
} |
|
319
|
|
|
|
|
320
|
|
|
/** |
|
321
|
|
|
* @param array<int, string|float|int|null>|string|float|int|null ...$values |
|
322
|
|
|
*/ |
|
323
|
1 |
|
public static function max(...$values): ?string |
|
324
|
|
|
{ |
|
325
|
1 |
|
$max = null; |
|
326
|
1 |
|
foreach (static::parseValues($values) as $number) { |
|
327
|
1 |
|
$number = static::convertScientificNotationToString((string)$number); |
|
328
|
1 |
|
if (null === $max) { |
|
329
|
1 |
|
$max = $number; |
|
330
|
1 |
|
} elseif (static::comp($max, $number) === static::COMPARE_RIGHT_GRATER) { |
|
|
|
|
|
|
331
|
1 |
|
$max = $number; |
|
332
|
|
|
} |
|
333
|
|
|
} |
|
334
|
|
|
|
|
335
|
1 |
|
return $max; |
|
336
|
|
|
} |
|
337
|
|
|
|
|
338
|
2 |
|
protected static function parseValues(array $values): array |
|
339
|
|
|
{ |
|
340
|
2 |
|
if (is_array($values[0])) { |
|
341
|
2 |
|
$values = $values[0]; |
|
342
|
|
|
} |
|
343
|
|
|
|
|
344
|
2 |
|
return $values; |
|
345
|
|
|
} |
|
346
|
|
|
|
|
347
|
|
|
/** |
|
348
|
|
|
* @param array<int, string|float|int|null>|string|float|int|null ...$values |
|
349
|
|
|
*/ |
|
350
|
1 |
|
public static function min(...$values): ?string |
|
351
|
|
|
{ |
|
352
|
1 |
|
$min = null; |
|
353
|
1 |
|
foreach (static::parseValues($values) as $number) { |
|
354
|
1 |
|
$number = static::convertScientificNotationToString((string)$number); |
|
355
|
1 |
|
if (null === $min) { |
|
356
|
1 |
|
$min = $number; |
|
357
|
1 |
|
} elseif (static::comp($min, $number) === static::COMPARE_LEFT_GRATER) { |
|
|
|
|
|
|
358
|
1 |
|
$min = $number; |
|
359
|
|
|
} |
|
360
|
|
|
} |
|
361
|
|
|
|
|
362
|
1 |
|
return $min; |
|
363
|
|
|
} |
|
364
|
|
|
|
|
365
|
18 |
|
public static function powMod( |
|
366
|
|
|
?string $base, |
|
367
|
|
|
?string $exponent, |
|
368
|
|
|
?string $modulus, |
|
369
|
|
|
?int $scale = null |
|
370
|
|
|
): string { |
|
371
|
18 |
|
$base = static::convertScientificNotationToString($base); |
|
372
|
18 |
|
$exponent = static::convertScientificNotationToString($exponent); |
|
373
|
|
|
|
|
374
|
18 |
|
if (static::isNegative($exponent)) { |
|
375
|
1 |
|
throw new InvalidArgumentException('Exponent can\'t be negative'); |
|
376
|
|
|
} |
|
377
|
|
|
|
|
378
|
17 |
|
if ('0' === static::trimTrailingZeroes($modulus)) { |
|
379
|
2 |
|
throw new InvalidArgumentException('Modulus can\'t be zero'); |
|
380
|
|
|
} |
|
381
|
|
|
/** @var string $modulus */ |
|
382
|
|
|
|
|
383
|
|
|
// bcpowmod don't support floats |
|
384
|
|
|
if ( |
|
385
|
15 |
|
static::isFloat($base) || |
|
386
|
12 |
|
static::isFloat($exponent) || |
|
387
|
15 |
|
static::isFloat($modulus) |
|
388
|
|
|
) { |
|
389
|
5 |
|
$r = static::mod(static::pow($base, $exponent, $scale), $modulus, $scale); |
|
390
|
10 |
|
} elseif (null === $scale) { |
|
391
|
1 |
|
$r = bcpowmod($base, $exponent, $modulus); |
|
392
|
|
|
} else { |
|
393
|
9 |
|
$r = bcpowmod($base, $exponent, $modulus, $scale); |
|
394
|
|
|
} |
|
395
|
|
|
/** @var string|null|false $r */ |
|
396
|
|
|
|
|
397
|
15 |
|
if (null === $r || false === $r) { |
|
398
|
|
|
throw new UnexpectedValueException('bcpowmod should not return null|false!'); |
|
399
|
|
|
} |
|
400
|
|
|
|
|
401
|
15 |
|
return static::formatTrailingZeroes($r, $scale); |
|
402
|
|
|
} |
|
403
|
|
|
|
|
404
|
196 |
|
protected static function isNegative(string $number): bool |
|
405
|
|
|
{ |
|
406
|
196 |
|
return 0 === strncmp('-', $number, 1); |
|
407
|
|
|
} |
|
408
|
|
|
|
|
409
|
65 |
|
public static function mod(?string $dividend, ?string $divisor, ?int $scale = null): string |
|
410
|
|
|
{ |
|
411
|
65 |
|
$dividend = static::convertScientificNotationToString($dividend); |
|
412
|
|
|
|
|
413
|
|
|
// bcmod in 7.2 is not working properly - for example bcmod(9.9999E-10, -0.00056, 9) should return '-0.000559999' but returns 0.0000000 |
|
414
|
|
|
// let use this $x - floor($x/$y) * $y; |
|
415
|
65 |
|
return static::formatTrailingZeroes( |
|
416
|
65 |
|
static::sub( |
|
417
|
65 |
|
$dividend, |
|
418
|
65 |
|
static::mul(static::floor(static::div($dividend, $divisor, $scale)), $divisor, $scale), |
|
419
|
63 |
|
$scale |
|
420
|
|
|
), |
|
421
|
63 |
|
$scale |
|
422
|
|
|
); |
|
423
|
|
|
} |
|
424
|
|
|
|
|
425
|
115 |
|
public static function floor(?string $number): string |
|
426
|
|
|
{ |
|
427
|
115 |
|
$number = static::trimTrailingZeroes(static::convertScientificNotationToString($number)); |
|
428
|
115 |
|
if (static::isFloat($number)) { |
|
429
|
45 |
|
$result = 0; |
|
430
|
45 |
|
if (static::isNegative($number)) { |
|
431
|
9 |
|
--$result; |
|
432
|
|
|
} |
|
433
|
45 |
|
$number = static::add($number, (string)$result, 0); |
|
434
|
|
|
} |
|
435
|
|
|
|
|
436
|
115 |
|
return static::parseNumber($number); |
|
437
|
|
|
} |
|
438
|
|
|
|
|
439
|
10 |
|
public static function fact(?string $number): string |
|
440
|
|
|
{ |
|
441
|
10 |
|
$number = static::convertScientificNotationToString($number); |
|
442
|
|
|
|
|
443
|
10 |
|
if (static::isFloat($number)) { |
|
444
|
1 |
|
throw new InvalidArgumentException('Number has to be an integer'); |
|
445
|
|
|
} |
|
446
|
9 |
|
if (static::isNegative($number)) { |
|
447
|
1 |
|
throw new InvalidArgumentException('Number has to be greater than or equal to 0'); |
|
448
|
|
|
} |
|
449
|
|
|
|
|
450
|
8 |
|
$return = '1'; |
|
451
|
8 |
|
for ($i = 2; $i <= $number; ++$i) { |
|
452
|
5 |
|
$return = static::mul($return, (string)$i); |
|
453
|
|
|
} |
|
454
|
|
|
|
|
455
|
8 |
|
return $return; |
|
456
|
|
|
} |
|
457
|
|
|
|
|
458
|
6 |
|
public static function hexdec(?string $hex): string |
|
459
|
|
|
{ |
|
460
|
6 |
|
$hex = (string) $hex; |
|
461
|
6 |
|
$remainingDigits = (string) substr($hex, 0, -1); |
|
462
|
6 |
|
$lastDigitToDecimal = (string)hexdec(substr($hex, -1)); |
|
463
|
|
|
|
|
464
|
6 |
|
if ('' === $remainingDigits) { |
|
465
|
6 |
|
return $lastDigitToDecimal; |
|
466
|
|
|
} |
|
467
|
|
|
|
|
468
|
5 |
|
return static::add(static::mul('16', static::hexdec($remainingDigits)), $lastDigitToDecimal, 0); |
|
469
|
|
|
} |
|
470
|
|
|
|
|
471
|
7 |
|
public static function dechex(?string $decimal): string |
|
472
|
|
|
{ |
|
473
|
7 |
|
$quotient = static::div($decimal, '16', 0); |
|
474
|
7 |
|
$remainderToHex = dechex((int)static::mod($decimal, '16')); |
|
475
|
|
|
|
|
476
|
7 |
|
if (static::comp($quotient, '0') === static::COMPARE_EQUAL) { |
|
477
|
7 |
|
return $remainderToHex; |
|
478
|
|
|
} |
|
479
|
|
|
|
|
480
|
6 |
|
return static::dechex($quotient) . $remainderToHex; |
|
481
|
|
|
} |
|
482
|
|
|
|
|
483
|
15 |
|
public static function bitAnd( |
|
484
|
|
|
?string $leftOperand, |
|
485
|
|
|
?string $rightOperand |
|
486
|
|
|
): string { |
|
487
|
15 |
|
return static::bitOperatorHelper($leftOperand, $rightOperand, static::BIT_OPERATOR_AND); |
|
488
|
|
|
} |
|
489
|
|
|
|
|
490
|
45 |
|
protected static function bitOperatorHelper(?string $leftOperand, ?string $rightOperand, string $operator): string |
|
491
|
|
|
{ |
|
492
|
45 |
|
$leftOperand = static::convertScientificNotationToString($leftOperand); |
|
493
|
45 |
|
$rightOperand = static::convertScientificNotationToString($rightOperand); |
|
494
|
|
|
|
|
495
|
45 |
|
if (static::isFloat($leftOperand)) { |
|
496
|
3 |
|
throw new InvalidArgumentException('Left operator has to be an integer'); |
|
497
|
|
|
} |
|
498
|
42 |
|
if (static::isFloat($rightOperand)) { |
|
499
|
3 |
|
throw new InvalidArgumentException('Right operator has to be an integer'); |
|
500
|
|
|
} |
|
501
|
|
|
|
|
502
|
39 |
|
$leftOperandNegative = static::isNegative($leftOperand); |
|
503
|
39 |
|
$rightOperandNegative = static::isNegative($rightOperand); |
|
504
|
|
|
|
|
505
|
39 |
|
$leftOperand = static::dec2bin(static::abs($leftOperand)); |
|
506
|
39 |
|
$rightOperand = static::dec2bin(static::abs($rightOperand)); |
|
507
|
|
|
|
|
508
|
39 |
|
$maxLength = max(strlen($leftOperand), strlen($rightOperand)); |
|
509
|
|
|
|
|
510
|
39 |
|
$leftOperand = static::alignBinLength($leftOperand, $maxLength); |
|
511
|
39 |
|
$rightOperand = static::alignBinLength($rightOperand, $maxLength); |
|
512
|
|
|
|
|
513
|
39 |
|
if ($leftOperandNegative) { |
|
514
|
7 |
|
$leftOperand = static::recalculateNegative($leftOperand); |
|
515
|
|
|
} |
|
516
|
39 |
|
if ($rightOperandNegative) { |
|
517
|
7 |
|
$rightOperand = static::recalculateNegative($rightOperand); |
|
518
|
|
|
} |
|
519
|
|
|
|
|
520
|
39 |
|
$isNegative = false; |
|
521
|
39 |
|
$result = ''; |
|
522
|
39 |
|
if (static::BIT_OPERATOR_AND === $operator) { |
|
523
|
13 |
|
$result = $leftOperand & $rightOperand; |
|
524
|
13 |
|
$isNegative = ($leftOperandNegative and $rightOperandNegative); |
|
525
|
26 |
|
} elseif (static::BIT_OPERATOR_OR === $operator) { |
|
526
|
15 |
|
$result = $leftOperand | $rightOperand; |
|
527
|
15 |
|
$isNegative = ($leftOperandNegative or $rightOperandNegative); |
|
528
|
11 |
|
} elseif (static::BIT_OPERATOR_XOR === $operator) { |
|
529
|
11 |
|
$result = $leftOperand ^ $rightOperand; |
|
530
|
11 |
|
$isNegative = ($leftOperandNegative xor $rightOperandNegative); |
|
531
|
|
|
} |
|
532
|
|
|
|
|
533
|
39 |
|
if ($isNegative) { |
|
534
|
8 |
|
$result = static::recalculateNegative($result); |
|
535
|
|
|
} |
|
536
|
|
|
|
|
537
|
39 |
|
$result = static::bin2dec($result); |
|
538
|
|
|
|
|
539
|
39 |
|
return $isNegative ? '-' . $result : $result; |
|
540
|
|
|
} |
|
541
|
|
|
|
|
542
|
45 |
|
public static function dec2bin(string $number, int $base = self::MAX_BASE): string |
|
543
|
|
|
{ |
|
544
|
45 |
|
return static::decBaseHelper( |
|
545
|
45 |
|
$base, |
|
546
|
|
|
static function (int $base) use ($number) { |
|
547
|
44 |
|
$value = ''; |
|
548
|
44 |
|
if ('0' === $number) { |
|
549
|
39 |
|
return chr((int)$number); |
|
550
|
|
|
} |
|
551
|
|
|
|
|
552
|
39 |
|
while (BC::comp($number, '0') !== BC::COMPARE_EQUAL) { |
|
553
|
39 |
|
$rest = BC::mod($number, (string)$base); |
|
554
|
39 |
|
$number = BC::div($number, (string)$base); |
|
555
|
39 |
|
$value = chr((int)$rest) . $value; |
|
556
|
|
|
} |
|
557
|
|
|
|
|
558
|
39 |
|
return $value; |
|
559
|
45 |
|
} |
|
560
|
|
|
); |
|
561
|
|
|
} |
|
562
|
|
|
|
|
563
|
46 |
|
protected static function decBaseHelper(int $base, Closure $closure): string |
|
564
|
|
|
{ |
|
565
|
46 |
|
if ($base < 2 || $base > static::MAX_BASE) { |
|
566
|
2 |
|
throw new InvalidArgumentException('Invalid Base: ' . $base); |
|
567
|
|
|
} |
|
568
|
44 |
|
$orgScale = static::getScale(); |
|
569
|
44 |
|
static::setScale(0); |
|
570
|
|
|
|
|
571
|
44 |
|
$value = $closure($base); |
|
572
|
|
|
|
|
573
|
44 |
|
static::setScale($orgScale); |
|
574
|
|
|
|
|
575
|
44 |
|
return $value; |
|
576
|
|
|
} |
|
577
|
|
|
|
|
578
|
448 |
|
public static function setScale(?int $scale): void |
|
579
|
|
|
{ |
|
580
|
448 |
|
bcscale((int) $scale); |
|
581
|
448 |
|
} |
|
582
|
|
|
|
|
583
|
55 |
|
public static function abs(?string $number): string |
|
584
|
|
|
{ |
|
585
|
55 |
|
$number = static::convertScientificNotationToString($number); |
|
586
|
|
|
|
|
587
|
55 |
|
if (static::isNegative($number)) { |
|
588
|
19 |
|
$number = (string)substr($number, 1); |
|
589
|
|
|
} |
|
590
|
|
|
|
|
591
|
55 |
|
return static::parseNumber($number); |
|
592
|
|
|
} |
|
593
|
|
|
|
|
594
|
39 |
|
protected static function alignBinLength(string $string, int $length): string |
|
595
|
|
|
{ |
|
596
|
39 |
|
return str_pad($string, $length, static::dec2bin('0'), STR_PAD_LEFT); |
|
597
|
|
|
} |
|
598
|
|
|
|
|
599
|
11 |
|
protected static function recalculateNegative(string $number): string |
|
600
|
|
|
{ |
|
601
|
11 |
|
$xor = str_repeat(static::dec2bin((string)(static::MAX_BASE - 1)), strlen($number)); |
|
602
|
11 |
|
$number ^= $xor; |
|
603
|
11 |
|
for ($i = strlen($number) - 1; $i >= 0; --$i) { |
|
604
|
11 |
|
$byte = ord($number[$i]); |
|
605
|
11 |
|
if (++$byte !== static::MAX_BASE) { |
|
606
|
11 |
|
$number[$i] = chr($byte); |
|
607
|
11 |
|
break; |
|
608
|
|
|
} |
|
609
|
|
|
} |
|
610
|
|
|
|
|
611
|
11 |
|
return $number; |
|
612
|
|
|
} |
|
613
|
|
|
|
|
614
|
45 |
|
public static function bin2dec(string $binary, int $base = self::MAX_BASE): string |
|
615
|
|
|
{ |
|
616
|
45 |
|
return static::decBaseHelper( |
|
617
|
45 |
|
$base, |
|
618
|
|
|
static function (int $base) use ($binary) { |
|
619
|
44 |
|
$size = strlen($binary); |
|
620
|
44 |
|
$return = '0'; |
|
621
|
44 |
|
for ($i = 0; $i < $size; ++$i) { |
|
622
|
44 |
|
$element = ord($binary[$i]); |
|
623
|
44 |
|
$power = BC::pow((string)$base, (string)($size - $i - 1)); |
|
624
|
44 |
|
$return = BC::add($return, BC::mul((string)$element, $power)); |
|
625
|
|
|
} |
|
626
|
|
|
|
|
627
|
44 |
|
return $return; |
|
628
|
45 |
|
} |
|
629
|
|
|
); |
|
630
|
|
|
} |
|
631
|
|
|
|
|
632
|
17 |
|
public static function bitOr(?string $leftOperand, ?string $rightOperand): string |
|
633
|
|
|
{ |
|
634
|
17 |
|
return static::bitOperatorHelper($leftOperand, $rightOperand, static::BIT_OPERATOR_OR); |
|
635
|
|
|
} |
|
636
|
|
|
|
|
637
|
13 |
|
public static function bitXor(?string $leftOperand, ?string $rightOperand): string |
|
638
|
|
|
{ |
|
639
|
13 |
|
return static::bitOperatorHelper($leftOperand, $rightOperand, static::BIT_OPERATOR_XOR); |
|
640
|
|
|
} |
|
641
|
|
|
|
|
642
|
25 |
|
public static function roundHalfEven(?string $number, int $precision = 0): string |
|
643
|
|
|
{ |
|
644
|
25 |
|
$number = static::convertScientificNotationToString($number); |
|
645
|
25 |
|
if (!static::isFloat($number)) { |
|
646
|
1 |
|
return static::parseNumber($number); |
|
647
|
|
|
} |
|
648
|
|
|
|
|
649
|
24 |
|
$precessionPos = strpos($number, '.') + $precision + 1; |
|
650
|
24 |
|
if (strlen($number) <= $precessionPos) { |
|
651
|
1 |
|
return static::round($number, $precision); |
|
652
|
|
|
} |
|
653
|
|
|
|
|
654
|
23 |
|
if ($number[$precessionPos] !== '5') { |
|
655
|
8 |
|
return static::round($number, $precision); |
|
656
|
|
|
} |
|
657
|
|
|
|
|
658
|
15 |
|
$isPrevEven = $number[$precessionPos - 1] === '.' |
|
659
|
4 |
|
? (int)$number[$precessionPos - 2] % 2 === 0 |
|
660
|
15 |
|
: (int)$number[$precessionPos - 1] % 2 === 0; |
|
661
|
15 |
|
$isNegative = static::isNegative($number); |
|
662
|
|
|
|
|
663
|
15 |
|
if ($isPrevEven === $isNegative) { |
|
664
|
7 |
|
return static::roundUp($number, $precision); |
|
665
|
|
|
} |
|
666
|
|
|
|
|
667
|
8 |
|
return static::roundDown($number, $precision); |
|
668
|
|
|
} |
|
669
|
|
|
|
|
670
|
58 |
|
public static function round(?string $number, int $precision = 0): string |
|
671
|
|
|
{ |
|
672
|
58 |
|
$number = static::convertScientificNotationToString($number); |
|
673
|
58 |
|
if (static::isFloat($number)) { |
|
674
|
46 |
|
if (static::isNegative($number)) { |
|
675
|
9 |
|
return static::sub($number, '0.' . str_repeat('0', $precision) . '5', $precision); |
|
676
|
|
|
} |
|
677
|
|
|
|
|
678
|
37 |
|
return static::add($number, '0.' . str_repeat('0', $precision) . '5', $precision); |
|
679
|
|
|
} |
|
680
|
|
|
|
|
681
|
12 |
|
return static::parseNumber($number); |
|
682
|
|
|
} |
|
683
|
|
|
|
|
684
|
25 |
|
public static function roundUp(?string $number, int $precision = 0): string |
|
685
|
|
|
{ |
|
686
|
25 |
|
$number = static::convertScientificNotationToString($number); |
|
687
|
25 |
|
$multiply = static::pow('10', (string)abs($precision)); |
|
688
|
|
|
|
|
689
|
25 |
|
return $precision < 0 |
|
690
|
|
|
? |
|
691
|
4 |
|
static::mul( |
|
692
|
4 |
|
static::ceil(static::div($number, $multiply, static::getDecimalsLength($number))), |
|
693
|
4 |
|
$multiply, |
|
694
|
4 |
|
(int)abs($precision) |
|
695
|
|
|
) |
|
696
|
|
|
: |
|
697
|
21 |
|
static::div( |
|
698
|
21 |
|
static::ceil(static::mul($number, $multiply, static::getDecimalsLength($number))), |
|
699
|
21 |
|
$multiply, |
|
700
|
25 |
|
$precision |
|
701
|
|
|
); |
|
702
|
|
|
} |
|
703
|
|
|
|
|
704
|
50 |
|
public static function ceil(?string $number): string |
|
705
|
|
|
{ |
|
706
|
50 |
|
$number = static::trimTrailingZeroes(static::convertScientificNotationToString($number)); |
|
707
|
50 |
|
if (static::isFloat($number)) { |
|
708
|
29 |
|
$result = 1; |
|
709
|
29 |
|
if (static::isNegative($number)) { |
|
710
|
6 |
|
--$result; |
|
711
|
|
|
} |
|
712
|
29 |
|
$number = static::add($number, (string)$result, 0); |
|
713
|
|
|
} |
|
714
|
|
|
|
|
715
|
50 |
|
return static::parseNumber($number); |
|
716
|
|
|
} |
|
717
|
|
|
|
|
718
|
26 |
|
public static function roundDown(?string $number, int $precision = 0): string |
|
719
|
|
|
{ |
|
720
|
26 |
|
$number = static::convertScientificNotationToString($number); |
|
721
|
26 |
|
$multiply = static::pow('10', (string)abs($precision)); |
|
722
|
|
|
|
|
723
|
26 |
|
return $precision < 0 |
|
724
|
|
|
? |
|
725
|
4 |
|
static::mul( |
|
726
|
4 |
|
static::floor(static::div($number, $multiply, static::getDecimalsLength($number))), |
|
727
|
4 |
|
$multiply, |
|
728
|
4 |
|
(int)abs($precision) |
|
729
|
|
|
) |
|
730
|
|
|
: |
|
731
|
22 |
|
static::div( |
|
732
|
22 |
|
static::floor(static::mul($number, $multiply, static::getDecimalsLength($number))), |
|
733
|
22 |
|
$multiply, |
|
734
|
26 |
|
$precision |
|
735
|
|
|
); |
|
736
|
|
|
} |
|
737
|
|
|
} |
|
738
|
|
|
|