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<?php |
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|
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declare (strict_types=1); |
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namespace Dudlewebs\WPMCS\Brick\Math; |
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|
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use Dudlewebs\WPMCS\Brick\Math\Exception\DivisionByZeroException; |
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use Dudlewebs\WPMCS\Brick\Math\Exception\MathException; |
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use Dudlewebs\WPMCS\Brick\Math\Exception\NumberFormatException; |
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use Dudlewebs\WPMCS\Brick\Math\Exception\RoundingNecessaryException; |
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/** |
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* Common interface for arbitrary-precision rational numbers. |
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* |
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* @psalm-immutable |
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*/ |
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abstract class BigNumber implements \Serializable, \JsonSerializable |
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{ |
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/** |
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* The regular expression used to parse integer, decimal and rational numbers. |
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*/ |
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private const PARSE_REGEXP = '/^' . '(?<sign>[\-\+])?' . '(?:' . '(?:' . '(?<integral>[0-9]+)?' . '(?<point>\.)?' . '(?<fractional>[0-9]+)?' . '(?:[eE](?<exponent>[\-\+]?[0-9]+))?' . ')|(?:' . '(?<numerator>[0-9]+)' . '\/?' . '(?<denominator>[0-9]+)' . ')' . ')' . '$/'; |
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/** |
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* Creates a BigNumber of the given value. |
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* |
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* The concrete return type is dependent on the given value, with the following rules: |
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* |
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* - BigNumber instances are returned as is |
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* - integer numbers are returned as BigInteger |
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* - floating point numbers are converted to a string then parsed as such |
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* - strings containing a `/` character are returned as BigRational |
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* - strings containing a `.` character or using an exponential notation are returned as BigDecimal |
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* - strings containing only digits with an optional leading `+` or `-` sign are returned as BigInteger |
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* |
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* @param BigNumber|int|float|string $value |
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* |
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* @return BigNumber |
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* |
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* @throws NumberFormatException If the format of the number is not valid. |
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* @throws DivisionByZeroException If the value represents a rational number with a denominator of zero. |
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* |
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* @psalm-pure |
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*/ |
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public static function of($value): BigNumber |
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{ |
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if ($value instanceof BigNumber) { |
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return $value; |
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} |
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if (\is_int($value)) { |
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return new BigInteger((string) $value); |
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} |
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/** @psalm-suppress RedundantCastGivenDocblockType We cannot trust the untyped $value here! */ |
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$value = \is_float($value) ? self::floatToString($value) : (string) $value; |
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$throw = static function () use ($value): void { |
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throw new NumberFormatException(\sprintf('The given value "%s" does not represent a valid number.', $value)); |
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}; |
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if (\preg_match(self::PARSE_REGEXP, $value, $matches) !== 1) { |
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$throw(); |
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} |
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$getMatch = static function (string $value) use ($matches): ?string { |
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return isset($matches[$value]) && $matches[$value] !== '' ? $matches[$value] : null; |
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}; |
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$sign = $getMatch('sign'); |
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$numerator = $getMatch('numerator'); |
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$denominator = $getMatch('denominator'); |
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if ($numerator !== null) { |
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assert($denominator !== null); |
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if ($sign !== null) { |
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$numerator = $sign . $numerator; |
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} |
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$numerator = self::cleanUp($numerator); |
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$denominator = self::cleanUp($denominator); |
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if ($denominator === '0') { |
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throw DivisionByZeroException::denominatorMustNotBeZero(); |
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} |
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return new BigRational(new BigInteger($numerator), new BigInteger($denominator), \false); |
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} |
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$point = $getMatch('point'); |
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$integral = $getMatch('integral'); |
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$fractional = $getMatch('fractional'); |
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$exponent = $getMatch('exponent'); |
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if ($integral === null && $fractional === null) { |
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$throw(); |
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} |
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if ($integral === null) { |
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$integral = '0'; |
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} |
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if ($point !== null || $exponent !== null) { |
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$fractional = $fractional ?? ''; |
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$exponent = $exponent !== null ? (int) $exponent : 0; |
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if ($exponent === \PHP_INT_MIN || $exponent === \PHP_INT_MAX) { |
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throw new NumberFormatException('Exponent too large.'); |
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} |
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$unscaledValue = self::cleanUp(($sign ?? '') . $integral . $fractional); |
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$scale = \strlen($fractional) - $exponent; |
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if ($scale < 0) { |
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if ($unscaledValue !== '0') { |
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$unscaledValue .= \str_repeat('0', -$scale); |
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} |
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$scale = 0; |
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} |
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return new BigDecimal($unscaledValue, $scale); |
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} |
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$integral = self::cleanUp(($sign ?? '') . $integral); |
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return new BigInteger($integral); |
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} |
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/** |
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* Safely converts float to string, avoiding locale-dependent issues. |
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* |
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* @see https://github.com/brick/math/pull/20 |
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* |
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* @param float $float |
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* |
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* @return string |
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* |
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* @psalm-pure |
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* @psalm-suppress ImpureFunctionCall |
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*/ |
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private static function floatToString(float $float): string |
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{ |
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$currentLocale = \setlocale(\LC_NUMERIC, '0'); |
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\setlocale(\LC_NUMERIC, 'C'); |
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$result = (string) $float; |
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\setlocale(\LC_NUMERIC, $currentLocale); |
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return $result; |
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} |
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/** |
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* Proxy method to access protected constructors from sibling classes. |
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* |
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* @internal |
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* |
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* @param mixed ...$args The arguments to the constructor. |
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* |
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* @return static |
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* |
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* @psalm-pure |
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* @psalm-suppress TooManyArguments |
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* @psalm-suppress UnsafeInstantiation |
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*/ |
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protected static function create(...$args): BigNumber |
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{ |
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return new static(...$args); |
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} |
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/** |
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* Returns the minimum of the given values. |
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* |
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* @param BigNumber|int|float|string ...$values The numbers to compare. All the numbers need to be convertible |
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* to an instance of the class this method is called on. |
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* |
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* @return static The minimum value. |
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* |
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* @throws \InvalidArgumentException If no values are given. |
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* @throws MathException If an argument is not valid. |
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* |
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* @psalm-suppress LessSpecificReturnStatement |
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* @psalm-suppress MoreSpecificReturnType |
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* @psalm-pure |
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*/ |
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public static function min(...$values): BigNumber |
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{ |
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$min = null; |
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foreach ($values as $value) { |
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$value = static::of($value); |
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if ($min === null || $value->isLessThan($min)) { |
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$min = $value; |
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} |
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} |
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if ($min === null) { |
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throw new \InvalidArgumentException(__METHOD__ . '() expects at least one value.'); |
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} |
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return $min; |
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} |
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/** |
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* Returns the maximum of the given values. |
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* |
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* @param BigNumber|int|float|string ...$values The numbers to compare. All the numbers need to be convertible |
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* to an instance of the class this method is called on. |
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* |
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* @return static The maximum value. |
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* |
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* @throws \InvalidArgumentException If no values are given. |
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* @throws MathException If an argument is not valid. |
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* |
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* @psalm-suppress LessSpecificReturnStatement |
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* @psalm-suppress MoreSpecificReturnType |
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* @psalm-pure |
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*/ |
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public static function max(...$values): BigNumber |
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{ |
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$max = null; |
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foreach ($values as $value) { |
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$value = static::of($value); |
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if ($max === null || $value->isGreaterThan($max)) { |
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$max = $value; |
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} |
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} |
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if ($max === null) { |
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throw new \InvalidArgumentException(__METHOD__ . '() expects at least one value.'); |
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} |
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return $max; |
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} |
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/** |
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* Returns the sum of the given values. |
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* |
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* @param BigNumber|int|float|string ...$values The numbers to add. All the numbers need to be convertible |
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* to an instance of the class this method is called on. |
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* |
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* @return static The sum. |
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* |
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* @throws \InvalidArgumentException If no values are given. |
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* @throws MathException If an argument is not valid. |
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* |
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* @psalm-suppress LessSpecificReturnStatement |
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* @psalm-suppress MoreSpecificReturnType |
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* @psalm-pure |
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*/ |
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public static function sum(...$values): BigNumber |
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{ |
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/** @var BigNumber|null $sum */ |
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$sum = null; |
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foreach ($values as $value) { |
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$value = static::of($value); |
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$sum = $sum === null ? $value : self::add($sum, $value); |
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} |
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if ($sum === null) { |
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throw new \InvalidArgumentException(__METHOD__ . '() expects at least one value.'); |
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} |
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return $sum; |
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} |
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/** |
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* Adds two BigNumber instances in the correct order to avoid a RoundingNecessaryException. |
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* |
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* @todo This could be better resolved by creating an abstract protected method in BigNumber, and leaving to |
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* concrete classes the responsibility to perform the addition themselves or delegate it to the given number, |
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* depending on their ability to perform the operation. This will also require a version bump because we're |
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* potentially breaking custom BigNumber implementations (if any...) |
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* |
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* @param BigNumber $a |
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* @param BigNumber $b |
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* |
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* @return BigNumber |
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* |
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* @psalm-pure |
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*/ |
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private static function add(BigNumber $a, BigNumber $b): BigNumber |
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{ |
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if ($a instanceof BigRational) { |
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return $a->plus($b); |
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} |
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if ($b instanceof BigRational) { |
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return $b->plus($a); |
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} |
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if ($a instanceof BigDecimal) { |
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return $a->plus($b); |
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} |
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if ($b instanceof BigDecimal) { |
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return $b->plus($a); |
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} |
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/** @var BigInteger $a */ |
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return $a->plus($b); |
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} |
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/** |
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* Removes optional leading zeros and + sign from the given number. |
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* |
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* @param string $number The number, validated as a non-empty string of digits with optional leading sign. |
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* |
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* @return string |
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* |
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* @psalm-pure |
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*/ |
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private static function cleanUp(string $number): string |
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{ |
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$firstChar = $number[0]; |
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if ($firstChar === '+' || $firstChar === '-') { |
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$number = \substr($number, 1); |
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} |
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$number = \ltrim($number, '0'); |
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if ($number === '') { |
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return '0'; |
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} |
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if ($firstChar === '-') { |
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return '-' . $number; |
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} |
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return $number; |
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} |
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/** |
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* Checks if this number is equal to the given one. |
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* |
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* @param BigNumber|int|float|string $that |
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* |
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* @return bool |
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*/ |
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public function isEqualTo($that): bool |
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{ |
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return $this->compareTo($that) === 0; |
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} |
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/** |
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* Checks if this number is strictly lower than the given one. |
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* |
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* @param BigNumber|int|float|string $that |
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* |
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* @return bool |
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*/ |
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public function isLessThan($that): bool |
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{ |
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return $this->compareTo($that) < 0; |
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} |
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/** |
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* Checks if this number is lower than or equal to the given one. |
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* |
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* @param BigNumber|int|float|string $that |
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* |
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* @return bool |
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*/ |
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public function isLessThanOrEqualTo($that): bool |
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{ |
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return $this->compareTo($that) <= 0; |
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} |
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/** |
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* Checks if this number is strictly greater than the given one. |
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* |
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* @param BigNumber|int|float|string $that |
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* |
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* @return bool |
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*/ |
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public function isGreaterThan($that): bool |
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{ |
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return $this->compareTo($that) > 0; |
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} |
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/** |
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* Checks if this number is greater than or equal to the given one. |
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* |
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* @param BigNumber|int|float|string $that |
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* |
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* @return bool |
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*/ |
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public function isGreaterThanOrEqualTo($that): bool |
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{ |
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return $this->compareTo($that) >= 0; |
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} |
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/** |
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* Checks if this number equals zero. |
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* |
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* @return bool |
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*/ |
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public function isZero(): bool |
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{ |
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return $this->getSign() === 0; |
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} |
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/** |
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* Checks if this number is strictly negative. |
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* |
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* @return bool |
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*/ |
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public function isNegative(): bool |
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{ |
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return $this->getSign() < 0; |
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} |
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/** |
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* Checks if this number is negative or zero. |
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* |
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* @return bool |
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*/ |
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public function isNegativeOrZero(): bool |
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{ |
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return $this->getSign() <= 0; |
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} |
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/** |
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* Checks if this number is strictly positive. |
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* |
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* @return bool |
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*/ |
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public function isPositive(): bool |
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{ |
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return $this->getSign() > 0; |
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} |
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/** |
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* Checks if this number is positive or zero. |
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* |
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* @return bool |
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*/ |
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public function isPositiveOrZero(): bool |
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{ |
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return $this->getSign() >= 0; |
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} |
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/** |
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* Returns the sign of this number. |
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* |
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* @return int -1 if the number is negative, 0 if zero, 1 if positive. |
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*/ |
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abstract public function getSign(): int; |
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/** |
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* Compares this number to the given one. |
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* |
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* @param BigNumber|int|float|string $that |
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* |
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* @return int [-1,0,1] If `$this` is lower than, equal to, or greater than `$that`. |
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* |
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* @throws MathException If the number is not valid. |
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*/ |
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abstract public function compareTo($that): int; |
| 400 |
/** |
| 401 |
* Converts this number to a BigInteger. |
| 402 |
* |
| 403 |
* @return BigInteger The converted number. |
| 404 |
* |
| 405 |
* @throws RoundingNecessaryException If this number cannot be converted to a BigInteger without rounding. |
| 406 |
*/ |
| 407 |
abstract public function toBigInteger(): BigInteger; |
| 408 |
/** |
| 409 |
* Converts this number to a BigDecimal. |
| 410 |
* |
| 411 |
* @return BigDecimal The converted number. |
| 412 |
* |
| 413 |
* @throws RoundingNecessaryException If this number cannot be converted to a BigDecimal without rounding. |
| 414 |
*/ |
| 415 |
abstract public function toBigDecimal(): BigDecimal; |
| 416 |
/** |
| 417 |
* Converts this number to a BigRational. |
| 418 |
* |
| 419 |
* @return BigRational The converted number. |
| 420 |
*/ |
| 421 |
abstract public function toBigRational(): BigRational; |
| 422 |
/** |
| 423 |
* Converts this number to a BigDecimal with the given scale, using rounding if necessary. |
| 424 |
* |
| 425 |
* @param int $scale The scale of the resulting `BigDecimal`. |
| 426 |
* @param int $roundingMode A `RoundingMode` constant. |
| 427 |
* |
| 428 |
* @return BigDecimal |
| 429 |
* |
| 430 |
* @throws RoundingNecessaryException If this number cannot be converted to the given scale without rounding. |
| 431 |
* This only applies when RoundingMode::UNNECESSARY is used. |
| 432 |
*/ |
| 433 |
abstract public function toScale(int $scale, int $roundingMode = RoundingMode::UNNECESSARY): BigDecimal; |
| 434 |
/** |
| 435 |
* Returns the exact value of this number as a native integer. |
| 436 |
* |
| 437 |
* If this number cannot be converted to a native integer without losing precision, an exception is thrown. |
| 438 |
* Note that the acceptable range for an integer depends on the platform and differs for 32-bit and 64-bit. |
| 439 |
* |
| 440 |
* @return int The converted value. |
| 441 |
* |
| 442 |
* @throws MathException If this number cannot be exactly converted to a native integer. |
| 443 |
*/ |
| 444 |
abstract public function toInt(): int; |
| 445 |
/** |
| 446 |
* Returns an approximation of this number as a floating-point value. |
| 447 |
* |
| 448 |
* Note that this method can discard information as the precision of a floating-point value |
| 449 |
* is inherently limited. |
| 450 |
* |
| 451 |
* If the number is greater than the largest representable floating point number, positive infinity is returned. |
| 452 |
* If the number is less than the smallest representable floating point number, negative infinity is returned. |
| 453 |
* |
| 454 |
* @return float The converted value. |
| 455 |
*/ |
| 456 |
abstract public function toFloat(): float; |
| 457 |
/** |
| 458 |
* Returns a string representation of this number. |
| 459 |
* |
| 460 |
* The output of this method can be parsed by the `of()` factory method; |
| 461 |
* this will yield an object equal to this one, without any information loss. |
| 462 |
* |
| 463 |
* @return string |
| 464 |
*/ |
| 465 |
abstract public function __toString(): string; |
| 466 |
/** |
| 467 |
* {@inheritdoc} |
| 468 |
*/ |
| 469 |
public function jsonSerialize(): string |
| 470 |
{ |
| 471 |
return $this->__toString(); |
| 472 |
} |
| 473 |
} |
| 474 |
|
