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<?php
declare(strict_types=1);
namespace Brick\Math;
use Brick\Math\Exception\DivisionByZeroException;
use Brick\Math\Exception\MathException;
use Brick\Math\Exception\NumberFormatException;
use Brick\Math\Exception\RoundingNecessaryException;
final class BigRational extends BigNumber
{
private $numerator;
private $denominator;
protected function __construct(BigInteger $numerator, BigInteger $denominator, bool $checkDemominator)
{
if ($checkDemominator) {
if ($denominator->isZero()) {
throw DivisionByZeroException::denominatorMustNotBeZero();
}
if ($denominator->isNegative()) {
$numerator = $numerator->negated();
$denominator = $denominator->negated();
}
}
$this->numerator = $numerator;
$this->denominator = $denominator;
}
public static function of($value) : BigNumber
{
return parent::of($value)->toBigRational();
}
public static function nd($numerator, $denominator) : BigRational
{
$numerator = BigInteger::of($numerator);
$denominator = BigInteger::of($denominator);
return new BigRational($numerator, $denominator, true);
}
public static function zero() : BigRational
{
static $zero;
if ($zero === null) {
$zero = new BigRational(BigInteger::zero(), BigInteger::one(), false);
}
return $zero;
}
public static function one() :BigRational
{
static $one;
if ($one === null) {
$one = new BigRational(BigInteger::one(), BigInteger::one(), false);
}
return $one;
}
public static function ten() : BigRational
{
static $ten;
if ($ten === null) {
$ten = new BigRational(BigInteger::ten(), BigInteger::one(), false);
}
return $ten;
}
public function getNumerator() : BigInteger
{
return $this->numerator;
}
public function getDenominator() : BigInteger
{
return $this->denominator;
}
public function quotient() : BigInteger
{
return $this->numerator->quotient($this->denominator);
}
public function remainder() : BigInteger
{
return $this->numerator->remainder($this->denominator);
}
public function quotientAndRemainder() : array
{
return $this->numerator->quotientAndRemainder($this->denominator);
}
public function plus($that) : BigRational
{
$that = BigRational::of($that);
$numerator = $this->numerator->multipliedBy($that->denominator);
$numerator = $numerator->plus($that->numerator->multipliedBy($this->denominator));
$denominator = $this->denominator->multipliedBy($that->denominator);
return new BigRational($numerator, $denominator, false);
}
public function minus($that) : BigRational
{
$that = BigRational::of($that);
$numerator = $this->numerator->multipliedBy($that->denominator);
$numerator = $numerator->minus($that->numerator->multipliedBy($this->denominator));
$denominator = $this->denominator->multipliedBy($that->denominator);
return new BigRational($numerator, $denominator, false);
}
public function multipliedBy($that) : BigRational
{
$that = BigRational::of($that);
$numerator = $this->numerator->multipliedBy($that->numerator);
$denominator = $this->denominator->multipliedBy($that->denominator);
return new BigRational($numerator, $denominator, false);
}
public function dividedBy($that) : BigRational
{
$that = BigRational::of($that);
$numerator = $this->numerator->multipliedBy($that->denominator);
$denominator = $this->denominator->multipliedBy($that->numerator);
return new BigRational($numerator, $denominator, true);
}
public function power(int $exponent) : BigRational
{
if ($exponent === 0) {
$one = BigInteger::one();
return new BigRational($one, $one, false);
}
if ($exponent === 1) {
return $this;
}
return new BigRational(
$this->numerator->power($exponent),
$this->denominator->power($exponent),
false
);
}
public function reciprocal() : BigRational
{
return new BigRational($this->denominator, $this->numerator, true);
}
public function abs() : BigRational
{
return new BigRational($this->numerator->abs(), $this->denominator, false);
}
public function negated() : BigRational
{
return new BigRational($this->numerator->negated(), $this->denominator, false);
}
public function simplified() : BigRational
{
$gcd = $this->numerator->gcd($this->denominator);
$numerator = $this->numerator->quotient($gcd);
$denominator = $this->denominator->quotient($gcd);
return new BigRational($numerator, $denominator, false);
}
public function compareTo($that) : int
{
return $this->minus($that)->getSign();
}
public function getSign() : int
{
return $this->numerator->getSign();
}
public function toBigInteger() : BigInteger
{
$simplified = $this->simplified();
if (! $simplified->denominator->isEqualTo(1)) {
throw new RoundingNecessaryException('This rational number cannot be represented as an integer value without rounding.');
}
return $simplified->numerator;
}
public function toBigDecimal() : BigDecimal
{
return $this->numerator->toBigDecimal()->exactlyDividedBy($this->denominator);
}
public function toBigRational() : BigRational
{
return $this;
}
public function toScale(int $scale, int $roundingMode = RoundingMode::UNNECESSARY) : BigDecimal
{
return $this->numerator->toBigDecimal()->dividedBy($this->denominator, $scale, $roundingMode);
}
public function toInt() : int
{
return $this->toBigInteger()->toInt();
}
public function toFloat() : float
{
return $this->numerator->toFloat() / $this->denominator->toFloat();
}
public function __toString() : string
{
$numerator = (string) $this->numerator;
$denominator = (string) $this->denominator;
if ($denominator === '1') {
return $numerator;
}
return $this->numerator . '/' . $this->denominator;
}
public function serialize() : string
{
return $this->numerator . '/' . $this->denominator;
}
public function unserialize($value) : void
{
if ($this->numerator !== null || $this->denominator !== null) {
throw new \LogicException('unserialize() is an internal function, it must not be called directly.');
}
[$numerator, $denominator] = explode('/', $value);
$this->numerator = BigInteger::of($numerator);
$this->denominator = BigInteger::of($denominator);
}
}