/tests/Math/BigIntegerTest.php
PHP | 259 lines | 195 code | 55 blank | 9 comment | 0 complexity | 10517a16257d756120ffaa4361e483c6 MD5 | raw file
- <?php
- /**
- * @author Andreas Fischer <bantu@phpbb.com>
- * @copyright MMXII Andreas Fischer
- * @license http://www.opensource.org/licenses/mit-license.html MIT License
- */
- class Math_BigIntegerTest extends PHPUnit_Framework_TestCase
- {
- public function getInstance($x = 0, $base = 10)
- {
- return new phpseclib\Math_BigInteger($x, $base);
- }
- public function testConstructorBase2()
- {
- // 2**65 = 36893488147419103232
- $this->assertSame('36893488147419103232', (string) $this->getInstance('1' . str_repeat('0', 65), 2));
- }
- public function testConstructorBase10()
- {
- $this->assertSame('18446744073709551616', (string) $this->getInstance('18446744073709551616'));
- }
- public function testConstructorBase16()
- {
- $this->assertSame('50', (string) $this->getInstance('0x32', 16));
- $this->assertSame('12345678910', (string) $this->getInstance('0x2DFDC1C3E', 16));
- $this->assertSame('18446744073709551615', (string) $this->getInstance('0xFFFFFFFFFFFFFFFF', 16));
- $this->assertSame('18446744073709551616', (string) $this->getInstance('0x10000000000000000', 16));
- }
- public function testToBytes()
- {
- $this->assertSame(chr(65), $this->getInstance('65')->toBytes());
- }
- public function testToBytesTwosCompliment()
- {
- $this->assertSame(chr(126), $this->getInstance('01111110', 2)->toBytes(true));
- }
- public function testToHex()
- {
- $this->assertSame('41', $this->getInstance('65')->toHex());
- }
- public function testToBits()
- {
- $this->assertSame('1000001', $this->getInstance('65')->toBits());
- }
- public function testAdd()
- {
- $x = $this->getInstance('18446744073709551615');
- $y = $this->getInstance( '100000000000');
- $a = $x->add($y);
- $b = $y->add($x);
- $this->assertTrue($a->equals($b));
- $this->assertTrue($b->equals($a));
- $this->assertSame('18446744173709551615', (string) $a);
- $this->assertSame('18446744173709551615', (string) $b);
- }
- public function testSubtract()
- {
- $x = $this->getInstance('18446744073709551618');
- $y = $this->getInstance( '4000000000000');
- $this->assertSame('18446740073709551618', (string) $x->subtract($y));
- }
- public function testMultiply()
- {
- $x = $this->getInstance('8589934592'); // 2**33
- $y = $this->getInstance('36893488147419103232'); // 2**65
- $a = $x->multiply($y); // 2**98
- $b = $y->multiply($x); // 2**98
- $this->assertTrue($a->equals($b));
- $this->assertTrue($b->equals($a));
- $this->assertSame('316912650057057350374175801344', (string) $a);
- $this->assertSame('316912650057057350374175801344', (string) $b);
- }
- public function testDivide()
- {
- $x = $this->getInstance('1180591620717411303425'); // 2**70 + 1
- $y = $this->getInstance('12345678910');
- list($q, $r) = $x->divide($y);
- $this->assertSame('95627922070', (string) $q);
- $this->assertSame('10688759725', (string) $r);
- }
- public function testModPow()
- {
- $a = $this->getInstance('10');
- $b = $this->getInstance('20');
- $c = $this->getInstance('30');
- $d = $a->modPow($b, $c);
- $this->assertSame('10', (string) $d);
- }
- public function testModInverse()
- {
- $a = $this->getInstance(30);
- $b = $this->getInstance(17);
- $c = $a->modInverse($b);
- $this->assertSame('4', (string) $c);
- $d = $a->multiply($c);
- list($q, $r) = $d->divide($b);
- $this->assertSame('1', (string) $r);
- }
- public function testExtendedGCD()
- {
- $a = $this->getInstance(693);
- $b = $this->getInstance(609);
- $arr = $a->extendedGCD($b);
- $this->assertSame('21', (string) $arr['gcd']);
- $this->assertSame(21, $a->toString() * $arr['x']->toString() + $b->toString() * $arr['y']->toString());
- }
- public function testGCD()
- {
- $x = $this->getInstance(693);
- $y = $this->getInstance(609);
- $this->assertSame('21', (string) $x->gcd($y));
- }
- public function testAbs()
- {
- $x = $this->getInstance('-18446744073709551617');
- $y = $x->abs();
- $this->assertSame('-18446744073709551617', (string) $x);
- $this->assertSame('18446744073709551617', (string) $y);
- }
- public function testEquals()
- {
- $x = $this->getInstance('18446744073709551616');
- $y = $this->getInstance('18446744073709551616');
- $this->assertTrue($x->equals($y));
- $this->assertTrue($y->equals($x));
- }
- public function testCompare()
- {
- $a = $this->getInstance('-18446744073709551616');
- $b = $this->getInstance('36893488147419103232');
- $c = $this->getInstance('36893488147419103232');
- $d = $this->getInstance('316912650057057350374175801344');
- // a < b
- $this->assertLessThan(0, $a->compare($b));
- $this->assertGreaterThan(0, $b->compare($a));
- // b = c
- $this->assertSame(0, $b->compare($c));
- $this->assertSame(0, $c->compare($b));
- // c < d
- $this->assertLessThan(0, $c->compare($d));
- $this->assertGreaterThan(0, $d->compare($c));
- }
- public function testBitwiseAND()
- {
- $x = $this->getInstance('66666666666666666666666', 16);
- $y = $this->getInstance('33333333333333333333333', 16);
- $z = $this->getInstance('22222222222222222222222', 16);
- $this->assertSame($z->toHex(), $x->bitwise_AND($y)->toHex());
- }
- public function testBitwiseOR()
- {
- $x = $this->getInstance('11111111111111111111111', 16);
- $y = $this->getInstance('EEEEEEEEEEEEEEEEEEEEEEE', 16);
- $z = $this->getInstance('FFFFFFFFFFFFFFFFFFFFFFF', 16);
- $this->assertSame($z->toHex(), $x->bitwise_OR($y)->toHex());
- }
- public function testBitwiseXOR()
- {
- $x = $this->getInstance('AFAFAFAFAFAFAFAFAFAFAFAF', 16);
- $y = $this->getInstance('133713371337133713371337', 16);
- $z = $this->getInstance('BC98BC98BC98BC98BC98BC98', 16);
- $this->assertSame($z->toHex(), $x->bitwise_XOR($y)->toHex());
- }
- public function testBitwiseNOT()
- {
- $x = $this->getInstance('EEEEEEEEEEEEEEEEEEEEEEE', 16);
- $z = $this->getInstance('11111111111111111111111', 16);
- $this->assertSame($z->toHex(), $x->bitwise_NOT()->toHex());
- }
- public function testBitwiseLeftShift()
- {
- $x = $this->getInstance('0x0000000FF0000000', 16);
- $y = $this->getInstance('0x000FF00000000000', 16);
- $this->assertSame($y->toHex(), $x->bitwise_LeftShift(16)->toHex());
- }
- public function testBitwiseRightShift()
- {
- $x = $this->getInstance('0x0000000FF0000000', 16);
- $y = $this->getInstance('0x00000000000FF000', 16);
- $z = $this->getInstance('0x000000000000000F', 16);
- $n = $this->getInstance(0);
- $this->assertSame($y->toHex(), $x->bitwise_RightShift(16)->toHex());
- $this->assertSame($z->toHex(), $x->bitwise_RightShift(32)->toHex());
- $this->assertSame($n->toHex(), $x->bitwise_RightShift(36)->toHex());
- }
- public function testSerializable()
- {
- $x = $this->getInstance('18446744073709551616');
- $y = unserialize(serialize($x));
- $this->assertTrue($x->equals($y));
- $this->assertTrue($y->equals($x));
- $this->assertSame('18446744073709551616', (string) $x);
- $this->assertSame('18446744073709551616', (string) $y);
- }
- public function testClone()
- {
- $x = $this->getInstance('18446744073709551616');
- $y = clone $x;
- $this->assertTrue($x->equals($y));
- $this->assertTrue($y->equals($x));
- $this->assertSame('18446744073709551616', (string) $x);
- $this->assertSame('18446744073709551616', (string) $y);
- }
- }