mirror of
https://github.com/danog/math.git
synced 2024-12-11 16:59:53 +01:00
572 lines
17 KiB
PHP
572 lines
17 KiB
PHP
<?php
|
|
|
|
namespace Brick\Math\Tests;
|
|
|
|
use Brick\Math\BigInteger;
|
|
use Brick\Math\BigRational;
|
|
|
|
/**
|
|
* Unit tests for class BigRational.
|
|
*/
|
|
class BigRationalTest extends AbstractTestCase
|
|
{
|
|
/**
|
|
* @dataProvider providerOf
|
|
*
|
|
* @param string $numerator The expected numerator.
|
|
* @param string $denominator The expected denominator.
|
|
* @param mixed ...$args The arguments to the factory method.
|
|
*/
|
|
public function testOf($numerator, $denominator, ...$args)
|
|
{
|
|
$rational = BigRational::of(... $args);
|
|
$this->assertBigRationalEquals($numerator, $denominator, $rational);
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerOf()
|
|
{
|
|
return [
|
|
['7', '1', '7', 1],
|
|
['7', '36', 7, 36],
|
|
['-7', '36', 7, -36],
|
|
['9', '15', '-9', -15],
|
|
['-98765432109876543210', '12345678901234567890', '-98765432109876543210', '12345678901234567890'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerParse
|
|
*
|
|
* @param string $numerator The expected numerator.
|
|
* @param string $denominator The expected denominator.
|
|
* @param string $string The string to parse.
|
|
*/
|
|
public function testParse($numerator, $denominator, $string)
|
|
{
|
|
$rational = BigRational::parse($string);
|
|
$this->assertBigRationalEquals($numerator, $denominator, $rational);
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerParse()
|
|
{
|
|
return [
|
|
['123', '456', '123/456'],
|
|
['-2345', '6789', '-2345/6789'],
|
|
['123456', '1', '123456'],
|
|
['-1234567', '1', '-1234567'],
|
|
['-1234567890987654321012345678909876543210', '9999', '-1234567890987654321012345678909876543210/9999'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerParseInvalidString
|
|
* @expectedException \InvalidArgumentException
|
|
*
|
|
* @param string $string An invalid string representation.
|
|
*/
|
|
public function testParseInvalidString($string)
|
|
{
|
|
BigRational::parse($string);
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerParseInvalidString()
|
|
{
|
|
return [
|
|
['123/-456'],
|
|
['+123/456'],
|
|
['123e4'],
|
|
['1e4/2'],
|
|
['1.2'],
|
|
[' 1/2'],
|
|
['1/2 '],
|
|
];
|
|
}
|
|
|
|
public function testAccessors()
|
|
{
|
|
$rational = BigRational::of(123456789, 987654321);
|
|
|
|
$this->assertBigIntegerEquals('123456789', $rational->getNumerator());
|
|
$this->assertBigIntegerEquals('987654321', $rational->getDenominator());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerPlus
|
|
*
|
|
* @param string $rational The rational number to test.
|
|
* @param string $plus The number to add.
|
|
* @param string $expected The expected rational number result.
|
|
*/
|
|
public function testPlus($rational, $plus, $expected)
|
|
{
|
|
$rational = BigRational::parse($rational);
|
|
$this->assertSame($expected, (string) $rational->plus($plus));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerPlus()
|
|
{
|
|
return [
|
|
['123/456', 1, '579/456'],
|
|
['123/456', BigInteger::of(2), '1035/456'],
|
|
['123/456', BigRational::of(2, 3), '1281/1368'],
|
|
['234/567', '123/28', '76293/15876'],
|
|
['-1234567890123456789/497', '79394345/109859892', '-135629495075630790047217323/54600366324'],
|
|
['-1234567890123456789/999', '-98765/43210', '-53345678532234666518925/43166790'],
|
|
['123/456789123456789123456789', '-987/654321987654321', '-450850864771369260370369260/298887167199121283949604203169112635269'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerMinus
|
|
*
|
|
* @param string $rational The rational number to test.
|
|
* @param string $minus The number to subtract.
|
|
* @param string $expected The expected rational number result.
|
|
*/
|
|
public function testMinus($rational, $minus, $expected)
|
|
{
|
|
$rational = BigRational::parse($rational);
|
|
$this->assertSame($expected, (string) $rational->minus($minus));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerMinus()
|
|
{
|
|
return [
|
|
['123/456', '1', '-333/456'],
|
|
['234/567', '123/28', '-63189/15876'],
|
|
['-1234567890123456789/497', '79394345/109859892', '-135629495075630868965196253/54600366324'],
|
|
['-1234567890123456789/999', '-98765/43210', '-53345678532234469186455/43166790'],
|
|
['123/456789123456789123456789', '-987/654321987654321', '450850864932332469333332226/298887167199121283949604203169112635269'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerMultipliedBy
|
|
*
|
|
* @param string $rational The rational number to test.
|
|
* @param string $minus The number to multiply.
|
|
* @param string $expected The expected rational number result.
|
|
*/
|
|
public function testMultipliedBy($rational, $minus, $expected)
|
|
{
|
|
$rational = BigRational::parse($rational);
|
|
$this->assertSame($expected, (string) $rational->multipliedBy($minus));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerMultipliedBy()
|
|
{
|
|
return [
|
|
['123/456', '1', '123/456'],
|
|
['123/456', '2', '246/456'],
|
|
['123/456', '1/2', '123/912'],
|
|
['123/456', '2/3', '246/1368'],
|
|
['-123/456', '2/3', '-246/1368'],
|
|
['123/456', '-2/3', '-246/1368'],
|
|
['489798742123504/387590928349859', '324893948394/23609901123', '159132647246919822550452576/9150983494511948540991657'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerDividedBy
|
|
*
|
|
* @param string $rational The rational number to test.
|
|
* @param string $minus The number to multiply.
|
|
* @param string $expected The expected rational number result.
|
|
*/
|
|
public function testDividedBy($rational, $minus, $expected)
|
|
{
|
|
$rational = BigRational::parse($rational);
|
|
$this->assertSame($expected, (string) $rational->dividedBy($minus));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerDividedBy()
|
|
{
|
|
return [
|
|
['123/456', '1', '123/456'],
|
|
['123/456', '2', '123/912'],
|
|
['123/456', '1/2', '246/456'],
|
|
['123/456', '2/3', '369/912'],
|
|
['-123/456', '2/3', '-369/912'],
|
|
['123/456', '-2/3', '-369/912'],
|
|
['489798742123504/387590928349859', '324893948394/23609901123', '11564099871705704494294992/125925947073281641523176446'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerReciprocal
|
|
*
|
|
* @param string $rational The rational number to test.
|
|
* @param string $expected The expected reciprocal.
|
|
*/
|
|
public function testReciprocal($rational, $expected)
|
|
{
|
|
$rational = BigRational::parse($rational);
|
|
$this->assertSame($expected, (string) $rational->reciprocal());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerReciprocal()
|
|
{
|
|
return [
|
|
['1', '1'],
|
|
['2', '1/2'],
|
|
['1/2', '2'],
|
|
['123/456', '456/123'],
|
|
['-234/567', '-567/234'],
|
|
['489798742123504998877665/387590928349859112233445', '387590928349859112233445/489798742123504998877665'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @expectedException \Brick\Math\ArithmeticException
|
|
*/
|
|
public function testReciprocalOfZeroThrowsException()
|
|
{
|
|
BigRational::of(0, 2)->reciprocal();
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerAbs
|
|
*
|
|
* @param string $rational The rational number to test.
|
|
* @param string $expected The expected absolute number.
|
|
*/
|
|
public function testAbs($rational, $expected)
|
|
{
|
|
$rational = BigRational::parse($rational);
|
|
$this->assertSame($expected, (string) $rational->abs());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerAbs()
|
|
{
|
|
return [
|
|
['0', '0'],
|
|
['1', '1'],
|
|
['-1', '1'],
|
|
['123/456', '123/456'],
|
|
['-234/567', '234/567'],
|
|
['-489798742123504998877665/387590928349859112233445', '489798742123504998877665/387590928349859112233445'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerNegated
|
|
*
|
|
* @param string $rational The rational number to test.
|
|
* @param string $expected The expected negated number.
|
|
*/
|
|
public function testNegated($rational, $expected)
|
|
{
|
|
$rational = BigRational::parse($rational);
|
|
$this->assertSame($expected, (string) $rational->negated());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerNegated()
|
|
{
|
|
return [
|
|
['0', '0'],
|
|
['1', '-1'],
|
|
['-1', '1'],
|
|
['123/456', '-123/456'],
|
|
['-234/567', '234/567'],
|
|
['-489798742123504998877665/387590928349859112233445', '489798742123504998877665/387590928349859112233445'],
|
|
['489798742123504998877665/387590928349859112233445', '-489798742123504998877665/387590928349859112233445'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSimplified
|
|
*
|
|
* @param string $rational The rational number to test.
|
|
* @param string $expected The expected negated number.
|
|
*/
|
|
public function testSimplified($rational, $expected)
|
|
{
|
|
$rational = BigRational::parse($rational);
|
|
$this->assertSame($expected, (string) $rational->simplified());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerSimplified()
|
|
{
|
|
return [
|
|
['0', '0'],
|
|
['1', '1'],
|
|
['-1', '-1'],
|
|
['0/123456', '0'],
|
|
['-0/123456', '0'],
|
|
['-1/123456', '-1/123456'],
|
|
['4/6', '2/3'],
|
|
['-4/6', '-2/3'],
|
|
['123/456', '41/152'],
|
|
['-234/567', '-26/63'],
|
|
['489798742123504998877665/387590928349859112233445', '32653249474900333258511/25839395223323940815563'],
|
|
['-395651984391591565172038784/445108482440540510818543632', '-8/9'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The first number to compare.
|
|
* @param string $b The second number to compare.
|
|
* @param int $cmp The comparison value.
|
|
*/
|
|
public function testCompareTo($a, $b, $cmp)
|
|
{
|
|
$this->assertSame($cmp, BigRational::parse($a)->compareTo($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The first number to compare.
|
|
* @param string $b The second number to compare.
|
|
* @param int $cmp The comparison value.
|
|
*/
|
|
public function testIsEqualTo($a, $b, $cmp)
|
|
{
|
|
$this->assertSame($cmp == 0, BigRational::parse($a)->isEqualTo($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The first number to compare.
|
|
* @param string $b The second number to compare.
|
|
* @param int $cmp The comparison value.
|
|
*/
|
|
public function testIsLessThan($a, $b, $cmp)
|
|
{
|
|
$this->assertSame($cmp < 0, BigRational::parse($a)->isLessThan($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The first number to compare.
|
|
* @param string $b The second number to compare.
|
|
* @param int $cmp The comparison value.
|
|
*/
|
|
public function testIsLessThanOrEqualTo($a, $b, $cmp)
|
|
{
|
|
$this->assertSame($cmp <= 0, BigRational::parse($a)->isLessThanOrEqualTo($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The first number to compare.
|
|
* @param string $b The second number to compare.
|
|
* @param int $cmp The comparison value.
|
|
*/
|
|
public function testIsGreaterThan($a, $b, $cmp)
|
|
{
|
|
$this->assertSame($cmp > 0, BigRational::parse($a)->isGreaterThan($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The first number to compare.
|
|
* @param string $b The second number to compare.
|
|
* @param int $cmp The comparison value.
|
|
*/
|
|
public function testIsGreaterThanOrEqualTo($a, $b, $cmp)
|
|
{
|
|
$this->assertSame($cmp >= 0, BigRational::parse($a)->isGreaterThanOrEqualTo($b));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerCompareTo()
|
|
{
|
|
return [
|
|
['-1', '1/2', -1],
|
|
['1', '1/2', 1],
|
|
['1', '-1/2', 1],
|
|
['-1', '-1/2', -1],
|
|
['1/2', '1/2', 0],
|
|
['-1/2', '-1/2', 0],
|
|
['1/2', '2/4', 0],
|
|
['1/3', '122/369', 1],
|
|
['1/3', '123/369', 0],
|
|
['1/3', '124/369', -1],
|
|
['1/3', '123/368', -1],
|
|
['1/3', '123/370', 1],
|
|
['-1/3', '-122/369', -1],
|
|
['-1/3', '-123/369', 0],
|
|
['-1/3', '-124/369', 1],
|
|
['-1/3', '-123/368', 1],
|
|
['-1/3', '-123/370', -1],
|
|
['999999999999999999999999999999/1000000000000000000000000000000', '1', -1],
|
|
['1', '999999999999999999999999999999/1000000000000000000000000000000', 1],
|
|
['999999999999999999999999999999/1000000000000000000000000000000', '999/1000', 1],
|
|
['-999999999999999999999999999999/1000000000000000000000000000000', '-999/1000', -1],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @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 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');
|
|
}
|
|
}
|