home/alospiesjs/www/apis/youtube/vendor/brick/math/src/BigDecimal.php000060400000056404151157225150021735 0ustar00value = $value; $this->scale = $scale; } /** * Creates a BigDecimal of the given value. * * @param BigNumber|int|float|string $value * * @return BigDecimal * * @throws MathException If the value cannot be converted to a BigDecimal. * * @psalm-pure */ public static function of($value) : BigNumber { return parent::of($value)->toBigDecimal(); } /** * Creates a BigDecimal from an unscaled value and a scale. * * Example: `(12345, 3)` will result in the BigDecimal `12.345`. * * @param BigNumber|int|float|string $value The unscaled value. Must be convertible to a BigInteger. * @param int $scale The scale of the number, positive or zero. * * @return BigDecimal * * @throws \InvalidArgumentException If the scale is negative. * * @psalm-pure */ public static function ofUnscaledValue($value, int $scale = 0) : BigDecimal { if ($scale < 0) { throw new \InvalidArgumentException('The scale cannot be negative.'); } return new BigDecimal((string) BigInteger::of($value), $scale); } /** * Returns a BigDecimal representing zero, with a scale of zero. * * @return BigDecimal * * @psalm-pure */ public static function zero() : BigDecimal { /** * @psalm-suppress ImpureStaticVariable * @var BigDecimal|null $zero */ static $zero; if ($zero === null) { $zero = new BigDecimal('0'); } return $zero; } /** * Returns a BigDecimal representing one, with a scale of zero. * * @return BigDecimal * * @psalm-pure */ public static function one() : BigDecimal { /** * @psalm-suppress ImpureStaticVariable * @var BigDecimal|null $one */ static $one; if ($one === null) { $one = new BigDecimal('1'); } return $one; } /** * Returns a BigDecimal representing ten, with a scale of zero. * * @return BigDecimal * * @psalm-pure */ public static function ten() : BigDecimal { /** * @psalm-suppress ImpureStaticVariable * @var BigDecimal|null $ten */ static $ten; if ($ten === null) { $ten = new BigDecimal('10'); } return $ten; } /** * Returns the sum of this number and the given one. * * The result has a scale of `max($this->scale, $that->scale)`. * * @param BigNumber|int|float|string $that The number to add. Must be convertible to a BigDecimal. * * @return BigDecimal The result. * * @throws MathException If the number is not valid, or is not convertible to a BigDecimal. */ public function plus($that) : BigDecimal { $that = BigDecimal::of($that); if ($that->value === '0' && $that->scale <= $this->scale) { return $this; } if ($this->value === '0' && $this->scale <= $that->scale) { return $that; } [$a, $b] = $this->scaleValues($this, $that); $value = Calculator::get()->add($a, $b); $scale = $this->scale > $that->scale ? $this->scale : $that->scale; return new BigDecimal($value, $scale); } /** * Returns the difference of this number and the given one. * * The result has a scale of `max($this->scale, $that->scale)`. * * @param BigNumber|int|float|string $that The number to subtract. Must be convertible to a BigDecimal. * * @return BigDecimal The result. * * @throws MathException If the number is not valid, or is not convertible to a BigDecimal. */ public function minus($that) : BigDecimal { $that = BigDecimal::of($that); if ($that->value === '0' && $that->scale <= $this->scale) { return $this; } [$a, $b] = $this->scaleValues($this, $that); $value = Calculator::get()->sub($a, $b); $scale = $this->scale > $that->scale ? $this->scale : $that->scale; return new BigDecimal($value, $scale); } /** * Returns the product of this number and the given one. * * The result has a scale of `$this->scale + $that->scale`. * * @param BigNumber|int|float|string $that The multiplier. Must be convertible to a BigDecimal. * * @return BigDecimal The result. * * @throws MathException If the multiplier is not a valid number, or is not convertible to a BigDecimal. */ public function multipliedBy($that) : BigDecimal { $that = BigDecimal::of($that); if ($that->value === '1' && $that->scale === 0) { return $this; } if ($this->value === '1' && $this->scale === 0) { return $that; } $value = Calculator::get()->mul($this->value, $that->value); $scale = $this->scale + $that->scale; return new BigDecimal($value, $scale); } /** * Returns the result of the division of this number by the given one, at the given scale. * * @param BigNumber|int|float|string $that The divisor. * @param int|null $scale The desired scale, or null to use the scale of this number. * @param int $roundingMode An optional rounding mode. * * @return BigDecimal * * @throws \InvalidArgumentException If the scale or rounding mode is invalid. * @throws MathException If the number is invalid, is zero, or rounding was necessary. */ public function dividedBy($that, ?int $scale = null, int $roundingMode = RoundingMode::UNNECESSARY) : BigDecimal { $that = BigDecimal::of($that); if ($that->isZero()) { throw DivisionByZeroException::divisionByZero(); } if ($scale === null) { $scale = $this->scale; } elseif ($scale < 0) { throw new \InvalidArgumentException('Scale cannot be negative.'); } if ($that->value === '1' && $that->scale === 0 && $scale === $this->scale) { return $this; } $p = $this->valueWithMinScale($that->scale + $scale); $q = $that->valueWithMinScale($this->scale - $scale); $result = Calculator::get()->divRound($p, $q, $roundingMode); return new BigDecimal($result, $scale); } /** * Returns the exact result of the division of this number by the given one. * * The scale of the result is automatically calculated to fit all the fraction digits. * * @param BigNumber|int|float|string $that The divisor. Must be convertible to a BigDecimal. * * @return BigDecimal The result. * * @throws MathException If the divisor is not a valid number, is not convertible to a BigDecimal, is zero, * or the result yields an infinite number of digits. */ public function exactlyDividedBy($that) : BigDecimal { $that = BigDecimal::of($that); if ($that->value === '0') { throw DivisionByZeroException::divisionByZero(); } [, $b] = $this->scaleValues($this, $that); $d = \rtrim($b, '0'); $scale = \strlen($b) - \strlen($d); $calculator = Calculator::get(); foreach ([5, 2] as $prime) { for (;;) { $lastDigit = (int) $d[-1]; if ($lastDigit % $prime !== 0) { break; } $d = $calculator->divQ($d, (string) $prime); $scale++; } } return $this->dividedBy($that, $scale)->stripTrailingZeros(); } /** * Returns this number exponentiated to the given value. * * The result has a scale of `$this->scale * $exponent`. * * @param int $exponent The exponent. * * @return BigDecimal The result. * * @throws \InvalidArgumentException If the exponent is not in the range 0 to 1,000,000. */ public function power(int $exponent) : BigDecimal { if ($exponent === 0) { return BigDecimal::one(); } if ($exponent === 1) { return $this; } if ($exponent < 0 || $exponent > Calculator::MAX_POWER) { throw new \InvalidArgumentException(\sprintf( 'The exponent %d is not in the range 0 to %d.', $exponent, Calculator::MAX_POWER )); } return new BigDecimal(Calculator::get()->pow($this->value, $exponent), $this->scale * $exponent); } /** * Returns the quotient of the division of this number by this given one. * * The quotient has a scale of `0`. * * @param BigNumber|int|float|string $that The divisor. Must be convertible to a BigDecimal. * * @return BigDecimal The quotient. * * @throws MathException If the divisor is not a valid decimal number, or is zero. */ public function quotient($that) : BigDecimal { $that = BigDecimal::of($that); if ($that->isZero()) { throw DivisionByZeroException::divisionByZero(); } $p = $this->valueWithMinScale($that->scale); $q = $that->valueWithMinScale($this->scale); $quotient = Calculator::get()->divQ($p, $q); return new BigDecimal($quotient, 0); } /** * Returns the remainder of the division of this number by this given one. * * The remainder has a scale of `max($this->scale, $that->scale)`. * * @param BigNumber|int|float|string $that The divisor. Must be convertible to a BigDecimal. * * @return BigDecimal The remainder. * * @throws MathException If the divisor is not a valid decimal number, or is zero. */ public function remainder($that) : BigDecimal { $that = BigDecimal::of($that); if ($that->isZero()) { throw DivisionByZeroException::divisionByZero(); } $p = $this->valueWithMinScale($that->scale); $q = $that->valueWithMinScale($this->scale); $remainder = Calculator::get()->divR($p, $q); $scale = $this->scale > $that->scale ? $this->scale : $that->scale; return new BigDecimal($remainder, $scale); } /** * Returns the quotient and remainder of the division of this number by the given one. * * The quotient has a scale of `0`, and the remainder has a scale of `max($this->scale, $that->scale)`. * * @param BigNumber|int|float|string $that The divisor. Must be convertible to a BigDecimal. * * @return BigDecimal[] An array containing the quotient and the remainder. * * @throws MathException If the divisor is not a valid decimal number, or is zero. */ public function quotientAndRemainder($that) : array { $that = BigDecimal::of($that); if ($that->isZero()) { throw DivisionByZeroException::divisionByZero(); } $p = $this->valueWithMinScale($that->scale); $q = $that->valueWithMinScale($this->scale); [$quotient, $remainder] = Calculator::get()->divQR($p, $q); $scale = $this->scale > $that->scale ? $this->scale : $that->scale; $quotient = new BigDecimal($quotient, 0); $remainder = new BigDecimal($remainder, $scale); return [$quotient, $remainder]; } /** * Returns the square root of this number, rounded down to the given number of decimals. * * @param int $scale * * @return BigDecimal * * @throws \InvalidArgumentException If the scale is negative. * @throws NegativeNumberException If this number is negative. */ public function sqrt(int $scale) : BigDecimal { if ($scale < 0) { throw new \InvalidArgumentException('Scale cannot be negative.'); } if ($this->value === '0') { return new BigDecimal('0', $scale); } if ($this->value[0] === '-') { throw new NegativeNumberException('Cannot calculate the square root of a negative number.'); } $value = $this->value; $addDigits = 2 * $scale - $this->scale; if ($addDigits > 0) { // add zeros $value .= \str_repeat('0', $addDigits); } elseif ($addDigits < 0) { // trim digits if (-$addDigits >= \strlen($this->value)) { // requesting a scale too low, will always yield a zero result return new BigDecimal('0', $scale); } $value = \substr($value, 0, $addDigits); } $value = Calculator::get()->sqrt($value); return new BigDecimal($value, $scale); } /** * Returns a copy of this BigDecimal with the decimal point moved $n places to the left. * * @param int $n * * @return BigDecimal */ public function withPointMovedLeft(int $n) : BigDecimal { if ($n === 0) { return $this; } if ($n < 0) { return $this->withPointMovedRight(-$n); } return new BigDecimal($this->value, $this->scale + $n); } /** * Returns a copy of this BigDecimal with the decimal point moved $n places to the right. * * @param int $n * * @return BigDecimal */ public function withPointMovedRight(int $n) : BigDecimal { if ($n === 0) { return $this; } if ($n < 0) { return $this->withPointMovedLeft(-$n); } $value = $this->value; $scale = $this->scale - $n; if ($scale < 0) { if ($value !== '0') { $value .= \str_repeat('0', -$scale); } $scale = 0; } return new BigDecimal($value, $scale); } /** * Returns a copy of this BigDecimal with any trailing zeros removed from the fractional part. * * @return BigDecimal */ public function stripTrailingZeros() : BigDecimal { if ($this->scale === 0) { return $this; } $trimmedValue = \rtrim($this->value, '0'); if ($trimmedValue === '') { return BigDecimal::zero(); } $trimmableZeros = \strlen($this->value) - \strlen($trimmedValue); if ($trimmableZeros === 0) { return $this; } if ($trimmableZeros > $this->scale) { $trimmableZeros = $this->scale; } $value = \substr($this->value, 0, -$trimmableZeros); $scale = $this->scale - $trimmableZeros; return new BigDecimal($value, $scale); } /** * Returns the absolute value of this number. * * @return BigDecimal */ public function abs() : BigDecimal { return $this->isNegative() ? $this->negated() : $this; } /** * Returns the negated value of this number. * * @return BigDecimal */ public function negated() : BigDecimal { return new BigDecimal(Calculator::get()->neg($this->value), $this->scale); } /** * {@inheritdoc} */ public function compareTo($that) : int { $that = BigNumber::of($that); if ($that instanceof BigInteger) { $that = $that->toBigDecimal(); } if ($that instanceof BigDecimal) { [$a, $b] = $this->scaleValues($this, $that); return Calculator::get()->cmp($a, $b); } return - $that->compareTo($this); } /** * {@inheritdoc} */ public function getSign() : int { return ($this->value === '0') ? 0 : (($this->value[0] === '-') ? -1 : 1); } /** * @return BigInteger */ public function getUnscaledValue() : BigInteger { return BigInteger::create($this->value); } /** * @return int */ public function getScale() : int { return $this->scale; } /** * Returns a string representing the integral part of this decimal number. * * Example: `-123.456` => `-123`. * * @return string */ public function getIntegralPart() : string { if ($this->scale === 0) { return $this->value; } $value = $this->getUnscaledValueWithLeadingZeros(); return \substr($value, 0, -$this->scale); } /** * Returns a string representing the fractional part of this decimal number. * * If the scale is zero, an empty string is returned. * * Examples: `-123.456` => '456', `123` => ''. * * @return string */ public function getFractionalPart() : string { if ($this->scale === 0) { return ''; } $value = $this->getUnscaledValueWithLeadingZeros(); return \substr($value, -$this->scale); } /** * Returns whether this decimal number has a non-zero fractional part. * * @return bool */ public function hasNonZeroFractionalPart() : bool { return $this->getFractionalPart() !== \str_repeat('0', $this->scale); } /** * {@inheritdoc} */ public function toBigInteger() : BigInteger { $zeroScaleDecimal = $this->scale === 0 ? $this : $this->dividedBy(1, 0); return BigInteger::create($zeroScaleDecimal->value); } /** * {@inheritdoc} */ public function toBigDecimal() : BigDecimal { return $this; } /** * {@inheritdoc} */ public function toBigRational() : BigRational { $numerator = BigInteger::create($this->value); $denominator = BigInteger::create('1' . \str_repeat('0', $this->scale)); return BigRational::create($numerator, $denominator, false); } /** * {@inheritdoc} */ public function toScale(int $scale, int $roundingMode = RoundingMode::UNNECESSARY) : BigDecimal { if ($scale === $this->scale) { return $this; } return $this->dividedBy(BigDecimal::one(), $scale, $roundingMode); } /** * {@inheritdoc} */ public function toInt() : int { return $this->toBigInteger()->toInt(); } /** * {@inheritdoc} */ public function toFloat() : float { return (float) (string) $this; } /** * {@inheritdoc} */ public function __toString() : string { if ($this->scale === 0) { return $this->value; } $value = $this->getUnscaledValueWithLeadingZeros(); return \substr($value, 0, -$this->scale) . '.' . \substr($value, -$this->scale); } /** * This method is required for serializing the object and SHOULD NOT be accessed directly. * * @internal * * @return array{value: string, scale: int} */ public function __serialize(): array { return ['value' => $this->value, 'scale' => $this->scale]; } /** * This method is only here to allow unserializing the object and cannot be accessed directly. * * @internal * @psalm-suppress RedundantPropertyInitializationCheck * * @param array{value: string, scale: int} $data * * @return void * * @throws \LogicException */ public function __unserialize(array $data): void { if (isset($this->value)) { throw new \LogicException('__unserialize() is an internal function, it must not be called directly.'); } $this->value = $data['value']; $this->scale = $data['scale']; } /** * This method is required by interface Serializable and SHOULD NOT be accessed directly. * * @internal * * @return string */ public function serialize() : string { return $this->value . ':' . $this->scale; } /** * This method is only here to implement interface Serializable and cannot be accessed directly. * * @internal * @psalm-suppress RedundantPropertyInitializationCheck * * @param string $value * * @return void * * @throws \LogicException */ public function unserialize($value) : void { if (isset($this->value)) { throw new \LogicException('unserialize() is an internal function, it must not be called directly.'); } [$value, $scale] = \explode(':', $value); $this->value = $value; $this->scale = (int) $scale; } /** * Puts the internal values of the given decimal numbers on the same scale. * * @param BigDecimal $x The first decimal number. * @param BigDecimal $y The second decimal number. * * @return array{string, string} The scaled integer values of $x and $y. */ private function scaleValues(BigDecimal $x, BigDecimal $y) : array { $a = $x->value; $b = $y->value; if ($b !== '0' && $x->scale > $y->scale) { $b .= \str_repeat('0', $x->scale - $y->scale); } elseif ($a !== '0' && $x->scale < $y->scale) { $a .= \str_repeat('0', $y->scale - $x->scale); } return [$a, $b]; } /** * @param int $scale * * @return string */ private function valueWithMinScale(int $scale) : string { $value = $this->value; if ($this->value !== '0' && $scale > $this->scale) { $value .= \str_repeat('0', $scale - $this->scale); } return $value; } /** * Adds leading zeros if necessary to the unscaled value to represent the full decimal number. * * @return string */ private function getUnscaledValueWithLeadingZeros() : string { $value = $this->value; $targetLength = $this->scale + 1; $negative = ($value[0] === '-'); $length = \strlen($value); if ($negative) { $length--; } if ($length >= $targetLength) { return $this->value; } if ($negative) { $value = \substr($value, 1); } $value = \str_pad($value, $targetLength, '0', STR_PAD_LEFT); if ($negative) { $value = '-' . $value; } return $value; } }