mirror of
https://github.com/danog/math.git
synced 2024-11-30 04:19:31 +01:00
1210 lines
46 KiB
PHP
1210 lines
46 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\RoundingMode;
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/**
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* Unit tests for class BigInteger.
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*/
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class BigIntegerTest 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|number $value The value to convert to a BigInteger.
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* @param string $expected The expected string value of the result.
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*/
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public function testOf($value, $expected)
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{
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$this->assertBigIntegerEquals($expected, BigInteger::of($value));
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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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[0, '0'],
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[1, '1'],
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[-1, '-1'],
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[123456789, '123456789'],
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[-123456789, '-123456789'],
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[PHP_INT_MAX, (string) PHP_INT_MAX],
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[~PHP_INT_MAX, (string) ~PHP_INT_MAX],
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[0.0, '0'],
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[1.0, '1'],
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[-0.0, '0'],
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[-1.0, '-1'],
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[1.2e5, '120000'],
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[-1.2e5, '-120000'],
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['0', '0'],
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['+0', '0'],
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['-0', '0'],
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['1', '1'],
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['+1', '1'],
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['-1', '-1'],
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['00', '0'],
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['+00', '0'],
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['-00', '0'],
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['01', '1'],
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['+01', '1'],
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['-01', '-1'],
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['123456789012345678901234567890', '123456789012345678901234567890'],
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['+123456789012345678901234567890', '123456789012345678901234567890'],
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['-123456789012345678901234567890', '-123456789012345678901234567890'],
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['0123456789012345678901234567890', '123456789012345678901234567890'],
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['+0123456789012345678901234567890', '123456789012345678901234567890'],
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['-0123456789012345678901234567890', '-123456789012345678901234567890'],
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['00123456789012345678901234567890', '123456789012345678901234567890'],
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['+00123456789012345678901234567890', '123456789012345678901234567890'],
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['-00123456789012345678901234567890', '-123456789012345678901234567890'],
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];
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}
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public function testOfBigIntegerReturnsThis()
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{
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$decimal = BigInteger::of(123);
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$this->assertSame($decimal, BigInteger::of($decimal));
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}
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/**
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* @dataProvider providerOfInvalidValueThrowsException
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* @expectedException \InvalidArgumentException
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*
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* @param string|number $value
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*/
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public function testOfInvalidValueThrowsException($value)
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{
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BigInteger::of($value);
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}
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/**
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* @return array
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*/
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public function providerOfInvalidValueThrowsException()
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{
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return [
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[1.1],
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[1e40],
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[''],
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['a'],
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[' 1'],
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['1 '],
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['1.'],
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['1.0'],
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['+'],
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['-'],
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['+a'],
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['-a']
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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 $number The number to create.
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* @param integer $base The base of the number.
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* @param string $expected The expected result in base 10.
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*/
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public function testParse($number, $base, $expected)
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{
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$this->assertSame($expected, (string) BigInteger::parse($number, $base));
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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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['0', 10, '0'],
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['-0', 10, '0'],
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['+0', 10, '0'],
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['00', 16, '0'],
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['-00', 16, '0'],
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['+00', 16, '0'],
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['123', 10, '123'],
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['+456', 10, '456'],
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['-789', 10, '-789'],
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['0123', 10, '123'],
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['+0456', 10, '456'],
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['-0789', 10, '-789'],
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['110011001100110011001111', 36, '640998479760579495168036691627608949'],
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['110011001100110011001111', 35, '335582856048758779730579523833856636'],
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['110011001100110011001111', 34, '172426711023004493064981145981549295'],
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['110011001100110011001111', 33, '86853227285668653965326574185738990'],
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['110011001100110011001111', 32, '42836489934972583913564073319498785'],
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['110011001100110011001111', 31, '20658924711984480538771889603666144'],
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['110011001100110011001111', 30, '9728140488839986222205212599027931'],
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['110011001100110011001111', 29, '4465579470019956787945275674107410'],
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['110011001100110011001111', 28, '1994689924537781753408144504465645'],
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['110011001100110011001111', 27, '865289950909412968716094193925700'],
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['110011001100110011001111', 26, '363729369583879309352831568000039'],
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['110011001100110011001111', 25, '147793267388865354156500488297526'],
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['110011001100110011001111', 24, '57888012016107577099138793486425'],
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['110011001100110011001111', 23, '21788392294523974761749372677800'],
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['110011001100110011001111', 22, '7852874701996329566765721637715'],
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['110011001100110011001111', 21, '2699289081943123258094476428634'],
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['110011001100110011001111', 20, '880809345058406615041344008421'],
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['110011001100110011001111', 19, '271401690926468032718781859340'],
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['110011001100110011001111', 18, '78478889737009209699633503455'],
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['110011001100110011001111', 17, '21142384915931646646976872830'],
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['110011001100110011001111', 16, '5261325448418072742917574929'],
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['110011001100110011001111', 15, '1197116069565850925807253616'],
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['110011001100110011001111', 14, '245991074299834917455374155'],
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['110011001100110011001111', 13, '44967318722190498361960610'],
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['110011001100110011001111', 12, '7177144825886069940574045'],
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['110011001100110011001111', 11, '976899716207148313491924'],
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['110011001100110011001111', 10, '110011001100110011001111'],
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['110011001100110011001111', 9, '9849210196991880028870'],
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['110011001100110011001111', 8, '664244955832213832265'],
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['110011001100110011001111', 7, '31291601125492514360'],
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['110011001100110011001111', 6, '922063395565287619'],
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['110011001100110011001111', 5, '14328039609468906'],
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['110011001100110011001111', 4, '88305875046485'],
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['110011001100110011001111', 3, '127093291420'],
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['110011001100110011001111', 2, '13421775'],
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['ZyXwVuTsRqPoNmLkJiHgFeDcBa9876543210', 36, '106300512100105327644605138221229898724869759421181854980'],
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['YxWvUtSrQpOnMlKjIhGfEdCbA9876543210', 35, '1101553773143634726491620528194292510495517905608180485'],
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['XwVuTsRqPoNmLkJiHgFeDcBa9876543210', 34, '11745843093701610854378775891116314824081102660800418'],
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['WvUtSrQpOnMlKjIhGfEdCbA9876543210', 33, '128983956064237823710866404905431464703849549412368'],
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['VuTsRqPoNmLkJiHgFeDcBa9876543210', 32, '1459980823972598128486511383358617792788444579872'],
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['UtSrQpOnMlKjIhGfEdCbA9876543210', 31, '17050208381689099029767742314582582184093573615'],
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['TsRqPoNmLkJiHgFeDcBa9876543210', 30, '205646315052919334126040428061831153388822830'],
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['SrQpOnMlKjIhGfEdCbA9876543210', 29, '2564411043271974895869785066497940850811934'],
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['RqPoNmLkJiHgFeDcBa9876543210', 28, '33100056003358651440264672384704297711484'],
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['QpOnMlKjIhGfEdCbA9876543210', 27, '442770531899482980347734468443677777577'],
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['PoNmLkJiHgFeDcBa9876543210', 26, '6146269788878825859099399609538763450'],
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['OnMlKjIhGfEdCbA9876543210', 25, '88663644327703473714387251271141900'],
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['NmLkJiHgFeDcBa9876543210', 24, '1331214537196502869015340298036888'],
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['MlKjIhGfEdCbA9876543210', 23, '20837326537038308910317109288851'],
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['LkJiHgFeDcBa9876543210', 22, '340653664490377789692799452102'],
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['KjIhGfEdCbA9876543210', 21, '5827980550840017565077671610'],
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['JiHgFeDcBa9876543210', 20, '104567135734072022160664820'],
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['IhGfEdCbA9876543210', 19, '1972313422155189164466189'],
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['HgFeDcBa9876543210', 18, '39210261334551566857170'],
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['GfEdCbA9876543210', 17, '824008854613343261192'],
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['FeDcBa9876543210', 16, '18364758544493064720'],
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['EdCbA9876543210', 15, '435659737878916215'],
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['DcBa9876543210', 14, '11046255305880158'],
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['CbA9876543210', 13, '300771807240918'],
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['Ba9876543210', 12, '8842413667692'],
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['A9876543210', 11, '282458553905'],
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['9876543210', 10, '9876543210'],
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['876543210', 9, '381367044'],
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['76543210', 8, '16434824'],
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['6543210', 7, '800667'],
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['543210', 6, '44790'],
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['43210', 5, '2930'],
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['3210', 4, '228'],
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['210', 3, '21'],
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['10', 2, '2'],
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];
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}
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/**
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* @dataProvider providerParseInvalidValueThrowsException
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* @expectedException \InvalidArgumentException
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*
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* @param string $value
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* @param integer $base
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*/
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public function testParseInvalidValueThrowsException($value, $base)
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{
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BigInteger::parse($value, $base);
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}
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/**
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* @return array
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*/
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public function providerParseInvalidValueThrowsException()
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{
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return [
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['', 10],
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[' ', 10],
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['+', 10],
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['-', 10],
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['1 ', 10],
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[' 1', 10],
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['Z', 35],
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['y', 34],
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['X', 33],
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['w', 32],
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['V', 31],
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['u', 30],
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['T', 29],
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['s', 28],
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['R', 27],
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['q', 26],
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['P', 25],
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['o', 24],
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['N', 23],
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['m', 22],
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['L', 21],
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['k', 20],
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['J', 19],
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['i', 18],
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['H', 17],
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['g', 16],
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['F', 15],
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['e', 14],
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['D', 13],
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['c', 12],
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['B', 11],
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['a', 10],
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['9', 9],
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['8', 8],
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['7', 7],
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['6', 6],
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['5', 5],
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['4', 4],
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['3', 3],
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['2', 2]
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];
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}
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/**
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* @dataProvider providerParseWithInvalidBaseThrowsException
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* @expectedException \InvalidArgumentException
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*
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* @param integer $base
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*/
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public function testParseWithInvalidBaseThrowsException($base)
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{
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BigInteger::parse('0', $base);
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}
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/**
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* @return array
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*/
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public function providerParseWithInvalidBaseThrowsException()
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{
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return [
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[-2],
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[-1],
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[0],
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[1],
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[37]
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];
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}
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public function testZero()
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{
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$this->assertBigIntegerEquals('0', BigInteger::zero());
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}
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/**
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* @dataProvider providerMin
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*
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* @param array $values The values to test.
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* @param integer $index The index of the minimum value in the test array.
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*/
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public function testMin(array $values, $index)
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{
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$this->assertTrue(BigInteger::min(...$values)->isEqualTo($values[$index]));
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}
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/**
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* @return array
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*/
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public function providerMin()
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{
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return [
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[[0, 1, -1], 2],
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[[0, '10', '5989'], 0],
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[[0, '10', '5989', '-1'], 3],
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[['-1', '1'], 0],
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[['-1', '1', '2', '3', '-100'], 4],
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[['999999999999999999999999999', '1000000000000000000000000000'], 0],
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[['-999999999999999999999999999', '-1000000000000000000000000000'], 1]
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];
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}
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/**
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* @expectedException \InvalidArgumentException
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*/
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public function testMinOfZeroValuesThrowsException()
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{
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BigInteger::min();
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}
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/**
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* @dataProvider providerMax
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*
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* @param array $values The values to test.
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* @param integer $index The index of the maximum value in the test array.
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*/
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public function testMax(array $values, $index)
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{
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$this->assertTrue(BigInteger::max(...$values)->isEqualTo($values[$index]));
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}
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/**
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* @return array
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*/
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public function providerMax()
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{
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return [
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[[0, 1, -1], 1],
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[[0, '10', '5989'], 2],
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[[0, '10', '5989', '-1'], 2],
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[[0, '10', '5989', '-1', '6000'], 4],
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[['-1', '0'], 1],
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[['-1', '1', '2', '3', '-100'], 3],
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[['999999999999999999999999999', '1000000000000000000000000000'], 1],
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[['-999999999999999999999999999', '-1000000000000000000000000000'], 0]
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];
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}
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/**
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* @expectedException \InvalidArgumentException
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*/
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public function testMaxOfZeroValuesThrowsException()
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{
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BigInteger::max();
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}
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/**
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* @dataProvider providerPlus
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*
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* @param string $a The base number.
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* @param string $b The number to add.
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* @param string $r The expected result.
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*/
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public function testPlus($a, $b, $r)
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{
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$this->assertBigIntegerEquals($r, BigInteger::of($a)->plus($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 providerPlus()
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{
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return [
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['5165450198704521651351654564564089798441', '0', '5165450198704521651351654564564089798441'],
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['-5165450198704521651351654564564089798441', '0', '-5165450198704521651351654564564089798441'],
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['5165450198704521651351654564564089798441', '-5165450198704521651351654564564089798441', '0'],
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['-5165450198704521651351654564564089798441', '5165450198704521651351654564564089798441', '0'],
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['3493049309220392055810', '9918493493849898938928310121', '9918496986899208159320365931'],
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['546254089287665464650654', '-4654654565726542654005465', '-4108400476438877189354811'],
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['-54654654625426504062224', '406546504670332465465435004', '406491850015707038961372780'],
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['-78706406576549688403246', '-3064672987984605465406546', '-3143379394561155153809792']
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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 $a The base number.
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* @param string $b The number to subtract.
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* @param string $r The expected result.
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*/
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public function testMinus($a, $b, $r)
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{
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$this->assertBigIntegerEquals($r, BigInteger::of($a)->minus($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 providerMinus()
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{
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return [
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['5165450198704521651351654564564089798441', '0', '5165450198704521651351654564564089798441'],
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['-5165450198704521651351654564564089798441', '0', '-5165450198704521651351654564564089798441'],
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['0', '5165450198704521651351654564564089798441', '-5165450198704521651351654564564089798441'],
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['0', '-5165450198704521651351654564564089798441', '5165450198704521651351654564564089798441'],
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['879798276565798787646', '2345178709879804654605406456', '-2345177830081528088806618810'],
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['99465465545004066406868767', '-79870987954654608076067608768', '79970453420199612142474477535'],
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['-46465465478979879230745664', '21316504468760001807687078994', '-21362969934238981686917824658'],
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['-2154799048440940949896046', '-9000454956465465424345404846624', '9000452801666416983404454950578']
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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 $a The base number.
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* @param string $b The number to multiply.
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* @param string $r The expected result.
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*/
|
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public function testMultipliedBy($a, $b, $r)
|
|
{
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$this->assertBigIntegerEquals($r, BigInteger::of($a)->multipliedBy($b));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerMultipliedBy()
|
|
{
|
|
return [
|
|
['123456789098765432101234567890987654321', '1', '123456789098765432101234567890987654321'],
|
|
['123456789098765432101234567890987654321', '-1', '-123456789098765432101234567890987654321'],
|
|
['15892588375910581333', '2485910409339228962451', '39507550875019745254366764864945838527183'],
|
|
['341581435989834012309', '-91050393818389238433', '-31101124267925302088072082300643257871797'],
|
|
['-1204902920503999920003', '1984389583950290232332', '-2390996805119422027350037939263960284136996'],
|
|
['-991230349304902390122', '-3483910549230593053437', '3453357870660875087266990729629471366949314']
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerDividedBy
|
|
*
|
|
* @param string $a The base number.
|
|
* @param string $b The number to divide.
|
|
* @param string $r The expected result.
|
|
*/
|
|
public function testDividedBy($a, $b, $r)
|
|
{
|
|
$this->assertBigIntegerEquals($r, BigInteger::of($a)->dividedBy($b));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerDividedBy()
|
|
{
|
|
return [
|
|
['123456789098765432101234567890987654321', '1', '123456789098765432101234567890987654321'],
|
|
['123456789098765432101234567890987654321', '-1', '-123456789098765432101234567890987654321'],
|
|
['1282493059039502950823948435791053205342314', '24342491090593053', '52685366270303839158198740'],
|
|
['1000000000000000000000000000000000000000000000', '7777777777777777', '128571428571428584285714285714'],
|
|
['999999999999999999999999999999999999999999999', '22221222222', '45002025091579141312274843781092897'],
|
|
['49283205308081983923480483094304390249024223', '-23981985358744892239240813', '-2055009398548863185'],
|
|
['-8378278174814983902084304176539029302438924', '384758527893793829309012129991', '-21775419041855'],
|
|
['-444444444444444444444444444444444444411111', '-33333333333333', '13333333333333466666666666667']
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @expectedException \Brick\Math\ArithmeticException
|
|
*/
|
|
public function testDividedByZeroThrowsException()
|
|
{
|
|
BigInteger::of(1)->dividedBy(0);
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerDivideAndRemainder
|
|
*
|
|
* @param string $dividend The dividend.
|
|
* @param string $divisor The divisor.
|
|
* @param string $quotient The expected quotient.
|
|
* @param string $remainder The expected remainder.
|
|
*/
|
|
public function testDivideAndRemainder($dividend, $divisor, $quotient, $remainder)
|
|
{
|
|
list ($q, $r) = BigInteger::of($dividend)->divideAndRemainder($divisor);
|
|
|
|
$this->assertSame($quotient, (string) $q);
|
|
$this->assertSame($remainder, (string) $r);
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerDivideAndRemainder()
|
|
{
|
|
return [
|
|
['1', '123', '0', '1'],
|
|
['1', '-123', '0', '1'],
|
|
['-1', '123', '0', '-1'],
|
|
['-1', '-123', '0', '-1'],
|
|
|
|
['1999999999999999999999999', '2000000000000000000000000', '0', '1999999999999999999999999'],
|
|
['1999999999999999999999999', '-2000000000000000000000000', '0', '1999999999999999999999999'],
|
|
['-1999999999999999999999999', '2000000000000000000000000', '0', '-1999999999999999999999999'],
|
|
['-1999999999999999999999999', '-2000000000000000000000000', '0', '-1999999999999999999999999'],
|
|
|
|
['123', '1', '123', '0'],
|
|
['123', '-1', '-123', '0'],
|
|
['-123', '1', '-123', '0'],
|
|
['-123', '-1', '123', '0'],
|
|
|
|
['123', '2', '61', '1'],
|
|
['123', '-2', '-61', '1'],
|
|
['-123', '2', '-61', '-1'],
|
|
['-123', '-2', '61', '-1'],
|
|
|
|
['123', '123', '1', '0'],
|
|
['123', '-123', '-1', '0'],
|
|
['-123', '123', '-1', '0'],
|
|
['-123', '-123', '1', '0'],
|
|
|
|
['123', '124', '0', '123'],
|
|
['123', '-124', '0', '123'],
|
|
['-123', '124', '0', '-123'],
|
|
['-123', '-124', '0', '-123'],
|
|
|
|
['124', '123', '1', '1'],
|
|
['124', '-123', '-1', '1'],
|
|
['-124', '123', '-1', '-1'],
|
|
['-124', '-123', '1', '-1'],
|
|
|
|
['1000000000000000000000000000000', '3', '333333333333333333333333333333', '1'],
|
|
['1000000000000000000000000000000', '9', '111111111111111111111111111111', '1'],
|
|
['1000000000000000000000000000000', '11', '90909090909090909090909090909', '1'],
|
|
['1000000000000000000000000000000', '13', '76923076923076923076923076923', '1'],
|
|
['1000000000000000000000000000000', '21', '47619047619047619047619047619', '1'],
|
|
|
|
['123456789123456789123456789', '987654321987654321', '124999998', '850308642973765431'],
|
|
['123456789123456789123456789', '-87654321987654321', '-1408450676', '65623397056685793'],
|
|
['-123456789123456789123456789', '7654321987654321', '-16129030020', '-1834176331740369'],
|
|
['-123456789123456789123456789', '-654321987654321', '188678955396', '-205094497790673'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @expectedException \Brick\Math\ArithmeticException
|
|
*/
|
|
public function testDivideAndRemainderByZeroThrowsException()
|
|
{
|
|
BigInteger::of(1)->divideAndRemainder(0);
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerDivideAndRemainder
|
|
*
|
|
* @param string $dividend The dividend.
|
|
* @param string $divisor The divisor.
|
|
* @param string $quotient The expected quotient (ignore for this test).
|
|
* @param string $remainder The expected remainder.
|
|
*/
|
|
public function testRemainder($dividend, $divisor, $quotient, $remainder)
|
|
{
|
|
list (, $r) = BigInteger::of($dividend)->divideAndRemainder($divisor);
|
|
|
|
$this->assertSame($remainder, (string) $r);
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerPower
|
|
*
|
|
* @param string $number The base number.
|
|
* @param integer $exponent The exponent to apply.
|
|
* @param string $expected The expected result.
|
|
*/
|
|
public function testPower($number, $exponent, $expected)
|
|
{
|
|
$this->assertBigIntegerEquals($expected, BigInteger::of($number)->power($exponent));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerPower()
|
|
{
|
|
return [
|
|
['-3', 0, '1'],
|
|
['-2', 0, '1'],
|
|
['-1', 0, '1'],
|
|
['0', 0, '1'],
|
|
['1', 0, '1'],
|
|
['2', 0, '1'],
|
|
['3', 0, '1'],
|
|
|
|
['-3', 1, '-3'],
|
|
['-2', 1, '-2'],
|
|
['-1', 1, '-1'],
|
|
['0', 1, '0'],
|
|
['1', 1, '1'],
|
|
['2', 1, '2'],
|
|
['3', 1, '3'],
|
|
|
|
['-3', 2, '9'],
|
|
['-2', 2, '4'],
|
|
['-1', 2, '1'],
|
|
['0', 2, '0'],
|
|
['1', 2, '1'],
|
|
['2', 2, '4'],
|
|
['3', 2, '9'],
|
|
|
|
['-3', 3, '-27'],
|
|
['-2', 3, '-8'],
|
|
['-1', 3, '-1'],
|
|
['0', 3, '0'],
|
|
['1', 3, '1'],
|
|
['2', 3, '8'],
|
|
['3', 3, '27'],
|
|
|
|
['0', 1000000, '0'],
|
|
['1', 1000000, '1'],
|
|
|
|
['-2', 255, '-57896044618658097711785492504343953926634992332820282019728792003956564819968'],
|
|
[ '2', 256, '115792089237316195423570985008687907853269984665640564039457584007913129639936'],
|
|
|
|
['-123', 33, '-926549609804623448265268294182900512918058893428212027689876489708283'],
|
|
[ '123', 34, '113965602005968684136628000184496763088921243891670079405854808234118809'],
|
|
|
|
['-123456789', 8, '53965948844821664748141453212125737955899777414752273389058576481'],
|
|
['9876543210', 7, '9167159269868350921847491739460569765344716959834325922131706410000000']
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerPowerWithInvalidExponentThrowsException
|
|
* @expectedException \InvalidArgumentException
|
|
*
|
|
* @param integer $power
|
|
*/
|
|
public function testPowerWithInvalidExponentThrowsException($power)
|
|
{
|
|
BigInteger::of(1)->power($power);
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerPowerWithInvalidExponentThrowsException()
|
|
{
|
|
return [
|
|
[-1],
|
|
[1000001]
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerGcd
|
|
*
|
|
* @param string $a The first number.
|
|
* @param string $b The second number.
|
|
* @param string $gcd The expected GCD.
|
|
*/
|
|
public function testGcd($a, $b, $gcd)
|
|
{
|
|
$a = BigInteger::of($a);
|
|
$b = BigInteger::of($b);
|
|
|
|
$this->assertBigIntegerEquals($gcd, $a->gcd($b));
|
|
}
|
|
|
|
/**
|
|
* @return \Generator
|
|
*/
|
|
public function providerGcd()
|
|
{
|
|
$tests = [
|
|
['0', '0', '0'],
|
|
|
|
['123456789123456789123456789123456789', '0', '123456789123456789123456789123456789'],
|
|
['123456789123456789123456789123456789', '1', '1'],
|
|
['123456789123456789123456789123456789', '2', '1'],
|
|
['123456789123456789123456789123456789', '3', '3'],
|
|
['123456789123456789123456789123456789', '4', '1'],
|
|
['123456789123456789123456789123456789', '5', '1'],
|
|
['123456789123456789123456789123456789', '6', '3'],
|
|
['123456789123456789123456789123456789', '7', '7'],
|
|
['123456789123456789123456789123456789', '8', '1'],
|
|
['123456789123456789123456789123456789', '9', '9'],
|
|
['123456789123456789123456789123456789', '10', '1'],
|
|
['123456789123456789123456789123456789', '11', '11'],
|
|
['123456789123456789123456789123456789', '12', '3'],
|
|
['123456789123456789123456789123456789', '13', '13'],
|
|
['123456789123456789123456789123456789', '14', '7'],
|
|
['123456789123456789123456789123456789', '15', '3'],
|
|
['123456789123456789123456789123456789', '16', '1'],
|
|
['123456789123456789123456789123456789', '17', '1'],
|
|
['123456789123456789123456789123456789', '18', '9'],
|
|
['123456789123456789123456789123456789', '19', '19'],
|
|
['123456789123456789123456789123456789', '20', '1'],
|
|
['123456789123456789123456789123456789', '100', '1'],
|
|
['123456789123456789123456789123456789', '101', '101'],
|
|
['123456789123456789123456789123456789', '102', '3'],
|
|
['123456789123456789123456789123456789', '103', '1'],
|
|
['123456789123456789123456789123456789', '104', '13'],
|
|
['123456789123456789123456789123456789', '105', '21'],
|
|
['123456789123456789123456789123456789', '985', '1'],
|
|
['123456789123456789123456789123456789', '986', '1'],
|
|
['123456789123456789123456789123456789', '987', '21'],
|
|
['123456789123456789123456789123456789', '988', '247'],
|
|
['123456789123456789123456789123456789', '989', '1'],
|
|
['123456789123456789123456789123456789', '990', '99'],
|
|
['123456789123456789123456789123456789', '10010', '1001'],
|
|
['123456789123456789123456789123456789', '10017', '63'],
|
|
['123456789123456789123456789123456789', '10089', '171'],
|
|
['123456789123456789123456789123456789', '10098', '99'],
|
|
['123456789123456789123456789123456789', '100035', '2223'],
|
|
['123456789123456789123456789123456789', '1000065', '627'],
|
|
['123456789123456789123456789123456789', '10000068', '39'],
|
|
['123456789123456789123456789123456789', '10001222', '7777'],
|
|
['123456789123456789123456789123456789', '10001277', '24453'],
|
|
['123456789123456789123456789123456789', '100005258', '157737'],
|
|
['123456789123456789123456789123456789', '100010001', '2702973'],
|
|
['123456789123456789123456789123456789', '100148202', '50074101'],
|
|
['123456789123456789123456789123456789', '100478469', '14354067'],
|
|
['123456789123456789123456789123456789', '123456789140121129', '8249681517'],
|
|
['123456789123456789123456789123456789', '123456789150891631', '1385459521'],
|
|
['123456789123456789123456789123456789', '123456789192058322', '6928754833'],
|
|
['123456789123456789123456789123456789', '123456789202361433', '1992342261'],
|
|
['123456789123456789123456789123456789', '999456789162772941', '20786264499'],
|
|
['123456789123456789123456789123456789', '999456789176548074', '2345678991'],
|
|
['123456789123456789123456789123456789', '999456789188938248', '2372170689'],
|
|
|
|
['88888777776666655555444443333322222111110000099999', '100000000011886128', '8252579097'],
|
|
['88888777776666655555444443333322222111110000099999', '100000000013330403', '1162443303'],
|
|
['88888777776666655555444443333322222111110000099999', '100000000020221920', '2470053077'],
|
|
['88888777776666655555444443333322222111110000099999', '100000000031937250', '3970893353'],
|
|
['88888777776666655555444443333322222111110000099999', '100000000043341848', '1102420413'],
|
|
['88888777776666655555444443333322222111110000099999', '100000000047565681', '1212240071'],
|
|
['88888777776666655555444443333322222111110000099999', '100000000065586124', '1172302873'],
|
|
['88888777776666655555444443333322222111110000099999', '100000000068684846', '1051734417'],
|
|
['88888777776666655555444443333322222111110000099999', '100000000068736887', '2423071539'],
|
|
];
|
|
|
|
foreach ($tests as list ($a, $b, $gcd)) {
|
|
yield [$a, $b, $gcd];
|
|
yield [$b, $a, $gcd];
|
|
|
|
yield [$a, "-$b", $gcd];
|
|
yield [$b, "-$a", $gcd];
|
|
|
|
yield ["-$a", $b, $gcd];
|
|
yield ["-$b", $a, $gcd];
|
|
|
|
yield ["-$a", "-$b", $gcd];
|
|
yield ["-$b", "-$a", $gcd];
|
|
}
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerAbs
|
|
*
|
|
* @param string $number The number as a string.
|
|
* @param string $expected The expected absolute result.
|
|
*/
|
|
public function testAbs($number, $expected)
|
|
{
|
|
$this->assertBigIntegerEquals($expected, BigInteger::of($number)->abs());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerAbs()
|
|
{
|
|
return [
|
|
['0', '0'],
|
|
['123456789012345678901234567890', '123456789012345678901234567890'],
|
|
['-123456789012345678901234567890', '123456789012345678901234567890'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerNegated
|
|
*
|
|
* @param string $number The number to negate as a string.
|
|
* @param string $expected The expected negated result.
|
|
*/
|
|
public function testNegated($number, $expected)
|
|
{
|
|
$this->assertBigIntegerEquals($expected, BigInteger::of($number)->negated());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerNegated()
|
|
{
|
|
return [
|
|
['0', '0'],
|
|
['123456789012345678901234567890', '-123456789012345678901234567890'],
|
|
['-123456789012345678901234567890', '123456789012345678901234567890'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The base number as a string.
|
|
* @param string $b The number to compare to as a string.
|
|
* @param integer $c The expected comparison result.
|
|
*/
|
|
public function testCompareTo($a, $b, $c)
|
|
{
|
|
$this->assertSame($c, BigInteger::of($a)->compareTo($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The base number as a string.
|
|
* @param string $b The number to compare to as a string.
|
|
* @param integer $c The comparison result.
|
|
*/
|
|
public function testIsEqualTo($a, $b, $c)
|
|
{
|
|
$this->assertSame($c == 0, BigInteger::of($a)->isEqualTo($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The base number as a string.
|
|
* @param string $b The number to compare to as a string.
|
|
* @param integer $c The comparison result.
|
|
*/
|
|
public function testIsLessThan($a, $b, $c)
|
|
{
|
|
$this->assertSame($c < 0, BigInteger::of($a)->isLessThan($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The base number as a string.
|
|
* @param string $b The number to compare to as a string.
|
|
* @param integer $c The comparison result.
|
|
*/
|
|
public function testIsLessThanOrEqualTo($a, $b, $c)
|
|
{
|
|
$this->assertSame($c <= 0, BigInteger::of($a)->isLessThanOrEqualTo($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The base number as a string.
|
|
* @param string $b The number to compare to as a string.
|
|
* @param integer $c The comparison result.
|
|
*/
|
|
public function testIsGreaterThan($a, $b, $c)
|
|
{
|
|
$this->assertSame($c > 0, BigInteger::of($a)->isGreaterThan($b));
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerCompareTo
|
|
*
|
|
* @param string $a The base number as a string.
|
|
* @param string $b The number to compare to as a string.
|
|
* @param integer $c The comparison result.
|
|
*/
|
|
public function testIsGreaterThanOrEqualTo($a, $b, $c)
|
|
{
|
|
$this->assertSame($c >= 0, BigInteger::of($a)->isGreaterThanOrEqualTo($b));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerCompareTo()
|
|
{
|
|
return [
|
|
['123', '123', 0],
|
|
['123', '456', -1],
|
|
['456', '123', 1],
|
|
['456', '456', 0],
|
|
|
|
['-123', '-123', 0],
|
|
['-123', '456', -1],
|
|
[ '456', '-123', 1],
|
|
[ '456', '456', 0],
|
|
|
|
[ '123', '123', 0],
|
|
[ '123', '-456', 1],
|
|
['-456', '123', -1],
|
|
['-456', '456', -1],
|
|
|
|
['-123', '-123', 0],
|
|
['-123', '-456', 1],
|
|
['-456', '-123', -1],
|
|
['-456', '-456', 0],
|
|
|
|
[ '9999999999999999999999999', '11111111111111111111111111111111111111111111', -1],
|
|
[ '9999999999999999999999999', '-11111111111111111111111111111111111111111111', 1],
|
|
['-9999999999999999999999999', '11111111111111111111111111111111111111111111', -1],
|
|
['-9999999999999999999999999', '-11111111111111111111111111111111111111111111', 1],
|
|
|
|
[ '11111111111111111111111111111111111111111111', '9999999999999999999999999', 1],
|
|
[ '11111111111111111111111111111111111111111111', '-9999999999999999999999999', 1],
|
|
['-11111111111111111111111111111111111111111111', '9999999999999999999999999', -1],
|
|
['-11111111111111111111111111111111111111111111','-9999999999999999999999999', -1],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param int|string $number The number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testGetSign($number, $sign)
|
|
{
|
|
$this->assertSame($sign, BigInteger::of($number)->getSign());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param int|string $number The number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsZero($number, $sign)
|
|
{
|
|
$this->assertSame($sign == 0, BigInteger::of($number)->isZero());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param int|string $number The number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsNegative($number, $sign)
|
|
{
|
|
$this->assertSame($sign < 0, BigInteger::of($number)->isNegative());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param int|string $number The number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsNegativeOrZero($number, $sign)
|
|
{
|
|
$this->assertSame($sign <= 0, BigInteger::of($number)->isNegativeOrZero());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param int|string $number The number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsPositive($number, $sign)
|
|
{
|
|
$this->assertSame($sign > 0, BigInteger::of($number)->isPositive());
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerSign
|
|
*
|
|
* @param int|string $number The number to test.
|
|
* @param int $sign The sign of the number.
|
|
*/
|
|
public function testIsPositiveOrZero($number, $sign)
|
|
{
|
|
$this->assertSame($sign >= 0, BigInteger::of($number)->isPositiveOrZero());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerSign()
|
|
{
|
|
return [
|
|
[ 0, 0],
|
|
[-0, 0],
|
|
[ 1, 1],
|
|
[-1, -1],
|
|
|
|
[PHP_INT_MAX, 1],
|
|
[~PHP_INT_MAX, -1],
|
|
|
|
[ '1000000000000000000000000000000000000000000000000000000000000000000000000000000000', 1],
|
|
['-1000000000000000000000000000000000000000000000000000000000000000000000000000000000', -1]
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerToInteger
|
|
*
|
|
* @param integer $number
|
|
*/
|
|
public function testToInteger($number)
|
|
{
|
|
$this->assertSame($number, BigInteger::of((string) $number)->toInteger());
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerToInteger()
|
|
{
|
|
return [
|
|
[~PHP_INT_MAX],
|
|
[-123456789],
|
|
[-1],
|
|
[0],
|
|
[1],
|
|
[123456789],
|
|
[PHP_INT_MAX]
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @expectedException \Brick\Math\ArithmeticException
|
|
*/
|
|
public function testToIntegerNegativeOverflowThrowsException()
|
|
{
|
|
BigInteger::of(~PHP_INT_MAX)->minus(1)->toInteger();
|
|
}
|
|
|
|
/**
|
|
* @expectedException \Brick\Math\ArithmeticException
|
|
*/
|
|
public function testToIntegerPositiveOverflowThrowsException()
|
|
{
|
|
BigInteger::of(PHP_INT_MAX)->plus(1)->toInteger();
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerToString
|
|
*
|
|
* @param string $number The number to convert.
|
|
* @param integer $base The base to convert the number to.
|
|
* @param string $expected The expected result.
|
|
*/
|
|
public function testToString($number, $base, $expected)
|
|
{
|
|
$this->assertSame($expected, BigInteger::parse($number)->toString($base));
|
|
$this->assertSame('-' . $expected, BigInteger::parse('-' . $number)->toString($base));
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerToString()
|
|
{
|
|
return [
|
|
['640998479760579495168036691627608949', 36, '110011001100110011001111'],
|
|
['335582856048758779730579523833856636', 35, '110011001100110011001111'],
|
|
['172426711023004493064981145981549295', 34, '110011001100110011001111'],
|
|
['86853227285668653965326574185738990', 33, '110011001100110011001111'],
|
|
['42836489934972583913564073319498785', 32, '110011001100110011001111'],
|
|
['20658924711984480538771889603666144', 31, '110011001100110011001111'],
|
|
['9728140488839986222205212599027931', 30, '110011001100110011001111'],
|
|
['4465579470019956787945275674107410', 29, '110011001100110011001111'],
|
|
['1994689924537781753408144504465645', 28, '110011001100110011001111'],
|
|
['865289950909412968716094193925700', 27, '110011001100110011001111'],
|
|
['363729369583879309352831568000039', 26, '110011001100110011001111'],
|
|
['147793267388865354156500488297526', 25, '110011001100110011001111'],
|
|
['57888012016107577099138793486425', 24, '110011001100110011001111'],
|
|
['21788392294523974761749372677800', 23, '110011001100110011001111'],
|
|
['7852874701996329566765721637715', 22, '110011001100110011001111'],
|
|
['2699289081943123258094476428634', 21, '110011001100110011001111'],
|
|
['880809345058406615041344008421', 20, '110011001100110011001111'],
|
|
['271401690926468032718781859340', 19, '110011001100110011001111'],
|
|
['78478889737009209699633503455', 18, '110011001100110011001111'],
|
|
['21142384915931646646976872830', 17, '110011001100110011001111'],
|
|
['5261325448418072742917574929', 16, '110011001100110011001111'],
|
|
['1197116069565850925807253616', 15, '110011001100110011001111'],
|
|
['245991074299834917455374155', 14, '110011001100110011001111'],
|
|
['44967318722190498361960610', 13, '110011001100110011001111'],
|
|
['7177144825886069940574045', 12, '110011001100110011001111'],
|
|
['976899716207148313491924', 11, '110011001100110011001111'],
|
|
['110011001100110011001111', 10, '110011001100110011001111'],
|
|
['9849210196991880028870', 9, '110011001100110011001111'],
|
|
['664244955832213832265', 8, '110011001100110011001111'],
|
|
['31291601125492514360', 7, '110011001100110011001111'],
|
|
['922063395565287619', 6, '110011001100110011001111'],
|
|
['14328039609468906', 5, '110011001100110011001111'],
|
|
['88305875046485', 4, '110011001100110011001111'],
|
|
['127093291420', 3, '110011001100110011001111'],
|
|
['13421775', 2, '110011001100110011001111'],
|
|
|
|
['106300512100105327644605138221229898724869759421181854980', 36, 'zyxwvutsrqponmlkjihgfedcba9876543210'],
|
|
['1101553773143634726491620528194292510495517905608180485', 35, 'yxwvutsrqponmlkjihgfedcba9876543210'],
|
|
['11745843093701610854378775891116314824081102660800418', 34, 'xwvutsrqponmlkjihgfedcba9876543210'],
|
|
['128983956064237823710866404905431464703849549412368', 33, 'wvutsrqponmlkjihgfedcba9876543210'],
|
|
['1459980823972598128486511383358617792788444579872', 32, 'vutsrqponmlkjihgfedcba9876543210'],
|
|
['17050208381689099029767742314582582184093573615', 31, 'utsrqponmlkjihgfedcba9876543210'],
|
|
['205646315052919334126040428061831153388822830', 30, 'tsrqponmlkjihgfedcba9876543210'],
|
|
['2564411043271974895869785066497940850811934', 29, 'srqponmlkjihgfedcba9876543210'],
|
|
['33100056003358651440264672384704297711484', 28, 'rqponmlkjihgfedcba9876543210'],
|
|
['442770531899482980347734468443677777577', 27, 'qponmlkjihgfedcba9876543210'],
|
|
['6146269788878825859099399609538763450', 26, 'ponmlkjihgfedcba9876543210'],
|
|
['88663644327703473714387251271141900', 25, 'onmlkjihgfedcba9876543210'],
|
|
['1331214537196502869015340298036888', 24, 'nmlkjihgfedcba9876543210'],
|
|
['20837326537038308910317109288851', 23, 'mlkjihgfedcba9876543210'],
|
|
['340653664490377789692799452102', 22, 'lkjihgfedcba9876543210'],
|
|
['5827980550840017565077671610', 21, 'kjihgfedcba9876543210'],
|
|
['104567135734072022160664820', 20, 'jihgfedcba9876543210'],
|
|
['1972313422155189164466189', 19, 'ihgfedcba9876543210'],
|
|
['39210261334551566857170', 18, 'hgfedcba9876543210'],
|
|
['824008854613343261192', 17, 'gfedcba9876543210'],
|
|
['18364758544493064720', 16, 'fedcba9876543210'],
|
|
['435659737878916215', 15, 'edcba9876543210'],
|
|
['11046255305880158', 14, 'dcba9876543210'],
|
|
['300771807240918', 13, 'cba9876543210'],
|
|
['8842413667692', 12, 'ba9876543210'],
|
|
['282458553905', 11, 'a9876543210'],
|
|
['9876543210', 10, '9876543210'],
|
|
['381367044', 9, '876543210'],
|
|
['16434824', 8, '76543210'],
|
|
['800667', 7, '6543210'],
|
|
['44790', 6, '543210'],
|
|
['2930', 5, '43210'],
|
|
['228', 4, '3210'],
|
|
['21', 3, '210'],
|
|
['2', 2, '10'],
|
|
];
|
|
}
|
|
|
|
/**
|
|
* @dataProvider providerToStringWithInvalidBaseThrowsException
|
|
* @expectedException \InvalidArgumentException
|
|
*
|
|
* @param integer $base
|
|
*/
|
|
public function testToStringWithInvalidBaseThrowsException($base)
|
|
{
|
|
BigInteger::of(0)->toString($base);
|
|
}
|
|
|
|
/**
|
|
* @return array
|
|
*/
|
|
public function providerToStringWithInvalidBaseThrowsException()
|
|
{
|
|
return [
|
|
[-2],
|
|
[-1],
|
|
[0],
|
|
[1],
|
|
[37]
|
|
];
|
|
}
|
|
|
|
public function testSerialize()
|
|
{
|
|
$value = '-1234567890987654321012345678909876543210123456789';
|
|
|
|
$number = BigInteger::of($value);
|
|
|
|
$this->assertBigIntegerEquals($value, unserialize(serialize($number)));
|
|
}
|
|
|
|
/**
|
|
* @expectedException \LogicException
|
|
*/
|
|
public function testDirectCallToUnserialize()
|
|
{
|
|
BigInteger::zero()->unserialize('123');
|
|
}
|
|
}
|