mirror of
https://github.com/danog/math.git
synced 2024-11-27 12:24:45 +01:00
700 lines
21 KiB
PHP
700 lines
21 KiB
PHP
<?php
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namespace Brick\Math\Tests;
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use Brick\Math\ArithmeticException;
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use Brick\Math\BigInteger;
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use Brick\Math\BigRational;
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/**
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* Unit tests for class BigRational.
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*/
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class BigRationalTest extends AbstractTestCase
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{
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/**
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* @dataProvider providerOf
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*
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* @param string $numerator The expected numerator.
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* @param string $denominator The expected denominator.
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* @param mixed ...$args The arguments to the factory method.
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*/
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public function testOf($numerator, $denominator, ...$args)
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{
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$rational = BigRational::of(... $args);
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$this->assertBigRationalEquals($numerator, $denominator, $rational);
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}
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/**
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* @return array
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*/
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public function providerOf()
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{
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return [
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['7', '1', '7', 1],
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['7', '36', 7, 36],
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['-7', '36', 7, -36],
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['9', '15', '-9', -15],
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['-98765432109876543210', '12345678901234567890', '-98765432109876543210', '12345678901234567890'],
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];
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}
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/**
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* @dataProvider providerParse
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*
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* @param string $numerator The expected numerator.
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* @param string $denominator The expected denominator.
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* @param string $string The string to parse.
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*/
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public function testParse($numerator, $denominator, $string)
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{
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$rational = BigRational::parse($string);
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$this->assertBigRationalEquals($numerator, $denominator, $rational);
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}
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/**
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* @return array
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*/
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public function providerParse()
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{
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return [
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['123', '456', '123/456'],
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['-2345', '6789', '-2345/6789'],
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['123456', '1', '123456'],
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['-1234567', '1', '-1234567'],
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['-1234567890987654321012345678909876543210', '9999', '-1234567890987654321012345678909876543210/9999'],
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];
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}
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/**
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* @dataProvider providerParseInvalidString
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* @expectedException \InvalidArgumentException
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*
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* @param string $string An invalid string representation.
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*/
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public function testParseInvalidString($string)
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{
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BigRational::parse($string);
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}
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/**
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* @return array
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*/
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public function providerParseInvalidString()
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{
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return [
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['123/-456'],
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['+123/456'],
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['123e4'],
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['1e4/2'],
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['1.2'],
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[' 1/2'],
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['1/2 '],
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];
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}
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public function testAccessors()
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{
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$rational = BigRational::of(123456789, 987654321);
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$this->assertBigIntegerEquals('123456789', $rational->getNumerator());
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$this->assertBigIntegerEquals('987654321', $rational->getDenominator());
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}
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/**
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* @dataProvider providerPlus
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*
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* @param string $rational The rational number to test.
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* @param string $plus The number to add.
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* @param string $expected The expected rational number result.
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*/
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public function testPlus($rational, $plus, $expected)
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{
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$rational = BigRational::parse($rational);
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$this->assertSame($expected, (string) $rational->plus($plus));
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}
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/**
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* @return array
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*/
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public function providerPlus()
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{
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return [
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['123/456', 1, '579/456'],
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['123/456', BigInteger::of(2), '1035/456'],
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['123/456', BigRational::of(2, 3), '1281/1368'],
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['234/567', '123/28', '76293/15876'],
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['-1234567890123456789/497', '79394345/109859892', '-135629495075630790047217323/54600366324'],
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['-1234567890123456789/999', '-98765/43210', '-53345678532234666518925/43166790'],
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['123/456789123456789123456789', '-987/654321987654321', '-450850864771369260370369260/298887167199121283949604203169112635269'],
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];
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}
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/**
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* @dataProvider providerMinus
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*
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* @param string $rational The rational number to test.
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* @param string $minus The number to subtract.
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* @param string $expected The expected rational number result.
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*/
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public function testMinus($rational, $minus, $expected)
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{
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$rational = BigRational::parse($rational);
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$this->assertSame($expected, (string) $rational->minus($minus));
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}
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/**
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* @return array
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*/
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public function providerMinus()
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{
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return [
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['123/456', '1', '-333/456'],
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['234/567', '123/28', '-63189/15876'],
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['-1234567890123456789/497', '79394345/109859892', '-135629495075630868965196253/54600366324'],
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['-1234567890123456789/999', '-98765/43210', '-53345678532234469186455/43166790'],
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['123/456789123456789123456789', '-987/654321987654321', '450850864932332469333332226/298887167199121283949604203169112635269'],
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];
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}
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/**
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* @dataProvider providerMultipliedBy
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*
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* @param string $rational The rational number to test.
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* @param string $minus The number to multiply.
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* @param string $expected The expected rational number result.
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*/
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public function testMultipliedBy($rational, $minus, $expected)
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{
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$rational = BigRational::parse($rational);
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$this->assertSame($expected, (string) $rational->multipliedBy($minus));
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}
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/**
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* @return array
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*/
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public function providerMultipliedBy()
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{
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return [
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['123/456', '1', '123/456'],
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['123/456', '2', '246/456'],
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['123/456', '1/2', '123/912'],
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['123/456', '2/3', '246/1368'],
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['-123/456', '2/3', '-246/1368'],
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['123/456', '-2/3', '-246/1368'],
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['489798742123504/387590928349859', '324893948394/23609901123', '159132647246919822550452576/9150983494511948540991657'],
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];
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}
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/**
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* @dataProvider providerDividedBy
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*
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* @param string $rational The rational number to test.
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* @param string $minus The number to multiply.
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* @param string $expected The expected rational number result.
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*/
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public function testDividedBy($rational, $minus, $expected)
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{
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$rational = BigRational::parse($rational);
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$this->assertSame($expected, (string) $rational->dividedBy($minus));
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}
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/**
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* @return array
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*/
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public function providerDividedBy()
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{
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return [
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['123/456', '1', '123/456'],
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['123/456', '2', '123/912'],
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['123/456', '1/2', '246/456'],
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['123/456', '2/3', '369/912'],
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['-123/456', '2/3', '-369/912'],
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['123/456', '-2/3', '-369/912'],
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['489798742123504/387590928349859', '324893948394/23609901123', '11564099871705704494294992/125925947073281641523176446'],
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];
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}
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/**
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* @dataProvider providerReciprocal
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*
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* @param string $rational The rational number to test.
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* @param string $expected The expected reciprocal.
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*/
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public function testReciprocal($rational, $expected)
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{
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$rational = BigRational::parse($rational);
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$this->assertSame($expected, (string) $rational->reciprocal());
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}
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/**
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* @return array
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*/
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public function providerReciprocal()
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{
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return [
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['1', '1'],
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['2', '1/2'],
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['1/2', '2'],
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['123/456', '456/123'],
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['-234/567', '-567/234'],
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['489798742123504998877665/387590928349859112233445', '387590928349859112233445/489798742123504998877665'],
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];
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}
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/**
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* @expectedException \Brick\Math\ArithmeticException
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*/
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public function testReciprocalOfZeroThrowsException()
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{
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BigRational::of(0, 2)->reciprocal();
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}
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/**
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* @dataProvider providerAbs
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*
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* @param string $rational The rational number to test.
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* @param string $expected The expected absolute number.
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*/
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public function testAbs($rational, $expected)
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{
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$rational = BigRational::parse($rational);
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$this->assertSame($expected, (string) $rational->abs());
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}
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/**
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* @return array
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*/
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public function providerAbs()
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{
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return [
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['0', '0'],
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['1', '1'],
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['-1', '1'],
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['123/456', '123/456'],
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['-234/567', '234/567'],
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['-489798742123504998877665/387590928349859112233445', '489798742123504998877665/387590928349859112233445'],
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];
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}
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/**
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* @dataProvider providerNegated
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*
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* @param string $rational The rational number to test.
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* @param string $expected The expected negated number.
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*/
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public function testNegated($rational, $expected)
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{
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$rational = BigRational::parse($rational);
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$this->assertSame($expected, (string) $rational->negated());
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}
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/**
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* @return array
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*/
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public function providerNegated()
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{
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return [
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['0', '0'],
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['1', '-1'],
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['-1', '1'],
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['123/456', '-123/456'],
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['-234/567', '234/567'],
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['-489798742123504998877665/387590928349859112233445', '489798742123504998877665/387590928349859112233445'],
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['489798742123504998877665/387590928349859112233445', '-489798742123504998877665/387590928349859112233445'],
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];
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}
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/**
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* @dataProvider providerSimplified
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*
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* @param string $rational The rational number to test.
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* @param string $expected The expected negated number.
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*/
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public function testSimplified($rational, $expected)
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{
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$rational = BigRational::parse($rational);
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$this->assertSame($expected, (string) $rational->simplified());
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}
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/**
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* @return array
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*/
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public function providerSimplified()
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{
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return [
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['0', '0'],
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['1', '1'],
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['-1', '-1'],
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['0/123456', '0'],
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['-0/123456', '0'],
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['-1/123456', '-1/123456'],
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['4/6', '2/3'],
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['-4/6', '-2/3'],
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['123/456', '41/152'],
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['-234/567', '-26/63'],
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['489798742123504998877665/387590928349859112233445', '32653249474900333258511/25839395223323940815563'],
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['-395651984391591565172038784/445108482440540510818543632', '-8/9'],
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];
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}
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/**
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* @dataProvider providerIsFiniteDecimal
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*
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* @param string $rational The rational number to test.
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* @param bool $isFiniteDecimal Whether the number can be represented as a finite decimal number.
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*/
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public function testIsFiniteDecimal($rational, $isFiniteDecimal)
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{
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$this->assertSame($isFiniteDecimal, BigRational::parse($rational)->isFiniteDecimal());
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$this->assertSame($isFiniteDecimal, BigRational::parse('-' . $rational)->isFiniteDecimal());
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}
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/**
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* @return array
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*/
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public function providerIsFiniteDecimal()
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{
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return [
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['0', true],
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['1', true],
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['1/2', true],
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['2/2', true],
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['3/2', true],
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['1/3', false],
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['2/3', false],
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['3/3', true],
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['4/3', false],
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['1/4', true],
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['2/4', true],
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['1/5', true],
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['2/5', true],
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['1/6', false],
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['2/6', false],
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['3/6', true],
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['4/6', false],
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['5/6', false],
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['6/6', true],
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['7/6', false],
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['1/7', false],
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['2/7', false],
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['6/7', false],
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['7/7', true],
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['8/7', false],
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['1/8', true],
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['7/8', true],
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['1/9', false],
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['8/9', false],
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['9/9', true],
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['10/9', false],
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['17/9', false],
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['18/9', true],
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['19/9', false],
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['8/360', false],
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['9/360', true],
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['10/360', false],
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['17/360', false],
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['18/360', true],
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['19/360', false],
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['438002367448868006942618029488152554057431119072727/9', true],
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['438002367448868006942618029488152554057431119072728/9', false],
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['1278347892548908779/181664161764972047166111224214546382427215576171875', true],
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['1278347892548908779/363328323529944094332222448429092764854431152343750', true],
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['1278347892548908778/363328323529944094332222448429092764854431152343750', false],
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['1278347892548908779/363328323529944094332222448429092764854431152343751', false],
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['1274512848871262052662/181119169279677131024612890541902743279933929443359375', false],
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['1274512848871262052663/181119169279677131024612890541902743279933929443359375', true],
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['1274512848871262052664/181119169279677131024612890541902743279933929443359375', false],
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];
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}
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/**
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* @dataProvider providerCompareTo
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*
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* @param string $a The first number to compare.
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* @param string $b The second number to compare.
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* @param int $cmp The comparison value.
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*/
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public function testCompareTo($a, $b, $cmp)
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{
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$this->assertSame($cmp, BigRational::parse($a)->compareTo($b));
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}
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/**
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* @dataProvider providerCompareTo
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*
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* @param string $a The first number to compare.
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* @param string $b The second number to compare.
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* @param int $cmp The comparison value.
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*/
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public function testIsEqualTo($a, $b, $cmp)
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{
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$this->assertSame($cmp == 0, BigRational::parse($a)->isEqualTo($b));
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}
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/**
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* @dataProvider providerCompareTo
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*
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* @param string $a The first number to compare.
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* @param string $b The second number to compare.
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* @param int $cmp The comparison value.
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*/
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public function testIsLessThan($a, $b, $cmp)
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{
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$this->assertSame($cmp < 0, BigRational::parse($a)->isLessThan($b));
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}
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/**
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* @dataProvider providerCompareTo
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*
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* @param string $a The first number to compare.
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* @param string $b The second number to compare.
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* @param int $cmp The comparison value.
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*/
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public function testIsLessThanOrEqualTo($a, $b, $cmp)
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{
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$this->assertSame($cmp <= 0, BigRational::parse($a)->isLessThanOrEqualTo($b));
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}
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/**
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* @dataProvider providerCompareTo
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*
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* @param string $a The first number to compare.
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* @param string $b The second number to compare.
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* @param int $cmp The comparison value.
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*/
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public function testIsGreaterThan($a, $b, $cmp)
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{
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$this->assertSame($cmp > 0, BigRational::parse($a)->isGreaterThan($b));
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}
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/**
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* @dataProvider providerCompareTo
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*
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* @param string $a The first number to compare.
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* @param string $b The second number to compare.
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* @param int $cmp The comparison value.
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*/
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public function testIsGreaterThanOrEqualTo($a, $b, $cmp)
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{
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$this->assertSame($cmp >= 0, BigRational::parse($a)->isGreaterThanOrEqualTo($b));
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}
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/**
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* @return array
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*/
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public function providerCompareTo()
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{
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return [
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['-1', '1/2', -1],
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['1', '1/2', 1],
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['1', '-1/2', 1],
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['-1', '-1/2', -1],
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['1/2', '1/2', 0],
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['-1/2', '-1/2', 0],
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['1/2', '2/4', 0],
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['1/3', '122/369', 1],
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['1/3', '123/369', 0],
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['1/3', '124/369', -1],
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['1/3', '123/368', -1],
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['1/3', '123/370', 1],
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['-1/3', '-122/369', -1],
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['-1/3', '-123/369', 0],
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['-1/3', '-124/369', 1],
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['-1/3', '-123/368', 1],
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['-1/3', '-123/370', -1],
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['999999999999999999999999999999/1000000000000000000000000000000', '1', -1],
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['1', '999999999999999999999999999999/1000000000000000000000000000000', 1],
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['999999999999999999999999999999/1000000000000000000000000000000', '999/1000', 1],
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['-999999999999999999999999999999/1000000000000000000000000000000', '-999/1000', -1],
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];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param string $number The rational number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testGetSign($number, $sign)
|
|
{
|
|
$this->assertSame($sign, BigRational::parse($number)->getSign());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param string $number The rational number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsZero($number, $sign)
|
|
{
|
|
$this->assertSame($sign == 0, BigRational::parse($number)->isZero());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param string $number The rational number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsNegative($number, $sign)
|
|
{
|
|
$this->assertSame($sign < 0, BigRational::parse($number)->isNegative());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param string $number The rational number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsNegativeOrZero($number, $sign)
|
|
{
|
|
$this->assertSame($sign <= 0, BigRational::parse($number)->isNegativeOrZero());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param string $number The rational number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsPositive($number, $sign)
|
|
{
|
|
$this->assertSame($sign > 0, BigRational::parse($number)->isPositive());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param string $number The rational number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsPositiveOrZero($number, $sign)
|
|
{
|
|
$this->assertSame($sign >= 0, BigRational::parse($number)->isPositiveOrZero());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerSign()
|
|
{
|
|
return [
|
|
['0', 0],
|
|
['-0', 0],
|
|
['-2', -1],
|
|
['2', 1],
|
|
['0/123456', 0],
|
|
['-0/123456', 0],
|
|
['-1/23784738479837498273817307948739875387498374983749837984739874983749834384938493284934', -1],
|
|
['1/3478378924784729749873298479832792487498789012890843098490820480938092849032809480932840', 1],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerToBigDecimal
|
|
*
|
|
* @param string $number The rational number to convert.
|
|
* @param string|null $expected The expected decimal number, or null if an exception is expected.
|
|
*/
|
|
public function testToBigDecimal($number, $expected)
|
|
{
|
|
if ($expected === null) {
|
|
$this->setExpectedException(ArithmeticException::class);
|
|
}
|
|
|
|
$actual = BigRational::parse($number)->toBigDecimal();
|
|
|
|
if ($expected !== null) {
|
|
$this->assertSame($expected, (string) $actual);
|
|
}
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerToBigDecimal()
|
|
{
|
|
return [
|
|
['1', '1'],
|
|
['1/2', '0.5'],
|
|
['1/3', null],
|
|
['1/4', '0.25'],
|
|
['1/5', '0.2'],
|
|
['1/6', null],
|
|
['1/7', null],
|
|
['1/8', '0.125'],
|
|
['1/9', null],
|
|
['1/10', '0.1'],
|
|
['10/2', '5'],
|
|
['10/20', '0.5'],
|
|
['100/20', '5'],
|
|
['100/2', '50'],
|
|
['1/500', '0.002'],
|
|
['1/600', null],
|
|
['1/400', '0.0025'],
|
|
['1/800', '0.00125'],
|
|
['1/1600', '0.000625'],
|
|
['2/1600', '0.00125'],
|
|
['3/1600', '0.001875'],
|
|
['4/1600', '0.0025'],
|
|
['5/1600', '0.003125'],
|
|
['669433117850846623944075755499/3723692145740642445161938667297363281250', '0.0000000001797767086134066979625344023536861184'],
|
|
['669433117850846623944075755498/3723692145740642445161938667297363281250', null],
|
|
['669433117850846623944075755499/3723692145740642445161938667297363281251', null],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerToString
|
|
*
|
|
* @param string $numerator The numerator.
|
|
* @param string $denominator The denominator.
|
|
* @param string $toString The expected string output.
|
|
*/
|
|
public function testToString($numerator, $denominator, $toString)
|
|
{
|
|
$this->assertSame($toString, (string) BigRational::of($numerator, $denominator));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerToString()
|
|
{
|
|
return [
|
|
['-1', '1', '-1'],
|
|
['2', '1', '2'],
|
|
['1', '2', '1/2'],
|
|
['-1', '-2', '1/2'],
|
|
['1', '-2', '-1/2'],
|
|
['34327948737247817984738927598572389', '32565046546', '34327948737247817984738927598572389/32565046546'],
|
|
['34327948737247817984738927598572389', '-32565046546', '-34327948737247817984738927598572389/32565046546'],
|
|
['34327948737247817984738927598572389', '1', '34327948737247817984738927598572389'],
|
|
['34327948737247817984738927598572389', '-1', '-34327948737247817984738927598572389'],
|
|
];
|
|
}
|
|
|
|
public function testSerialize()
|
|
{
|
|
$numerator = '-1234567890987654321012345678909876543210123456789';
|
|
$denominator = '347827348278374374263874681238374983729873401984091287439827467286';
|
|
|
|
$rational = BigRational::of($numerator, $denominator);
|
|
|
|
$this->assertBigRationalEquals($numerator, $denominator, unserialize(serialize($rational)));
|
|
}
|
|
|
|
/**
|
|
* @expectedException \LogicException
|
|
*/
|
|
public function testDirectCallToUnserialize()
|
|
{
|
|
BigRational::of(1, 2)->unserialize('123/456');
|
|
}
|
|
}
|