/vendor/phpseclib/phpseclib/tests/Unit/Math/BigInteger/TestCase.php
PHP | 361 lines | 266 code | 71 blank | 24 comment | 3 complexity | ab5a6605952c9c3216d14309ee938740 MD5 | raw file
- <?php
- /**
- * @author Andreas Fischer <bantu@phpbb.com>
- * @copyright 2012 Andreas Fischer
- * @license http://www.opensource.org/licenses/mit-license.html MIT License
- */
- require_once 'Math/BigInteger.php';
- abstract class Unit_Math_BigInteger_TestCase extends PhpseclibTestCase
- {
- static public function setUpBeforeClass()
- {
- parent::setUpBeforeClass();
- self::reRequireFile('Math/BigInteger.php');
- }
- public function getInstance($x = 0, $base = 10)
- {
- return new Math_BigInteger($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);
- }
- public function testRandomTwoArgument()
- {
- $min = $this->getInstance(0);
- $max = $this->getInstance('18446744073709551616');
- $rand1 = $min->random($min, $max);
- // technically $rand1 can equal $min but with the $min and $max we've
- // chosen it's just not that likely
- $this->assertTrue($rand1->compare($min) > 0);
- $this->assertTrue($rand1->compare($max) < 0);
- }
- public function testRandomOneArgument()
- {
- $min = $this->getInstance(0);
- $max = $this->getInstance('18446744073709551616');
- $rand1 = $min->random($max);
- $this->assertTrue($rand1->compare($min) > 0);
- $this->assertTrue($rand1->compare($max) < 0);
- $rand2 = $max->random($min);
- $this->assertTrue($rand2->compare($min) > 0);
- $this->assertTrue($rand2->compare($max) < 0);
- $this->assertFalse($rand1->equals($rand2));
- }
- /**
- * @group github279
- */
- public function testDiffieHellmanKeyAgreement()
- {
- if (getenv('TRAVIS') && PHP_VERSION === '5.3.3'
- && MATH_BIGINTEGER_MODE === MATH_BIGINTEGER_MODE_INTERNAL
- ) {
- $this->markTestIncomplete(
- 'This test hangs on PHP 5.3.3 using internal mode.'
- );
- }
- // "Oakley Group 14" 2048-bit modular exponentiation group as used in
- // SSH2 diffie-hellman-group14-sha1
- $prime = $this->getInstance(
- 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1' .
- '29024E088A67CC74020BBEA63B139B22514A08798E3404DD' .
- 'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245' .
- 'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
- 'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D' .
- 'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F' .
- '83655D23DCA3AD961C62F356208552BB9ED529077096966D' .
- '670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
- 'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9' .
- 'DE2BCBF6955817183995497CEA956AE515D2261898FA0510' .
- '15728E5A8AACAA68FFFFFFFFFFFFFFFF',
- 16
- );
- $generator = $this->getInstance(2);
- /*
- Code for generation of $alicePrivate and $bobPrivate.
- $one = $this->getInstance(1);
- $max = $one->bitwise_leftShift(512)->subtract($one);
- $alicePrivate = $one->random($one, $max);
- $bobPrivate = $one->random($one, $max);
- var_dump($alicePrivate->toHex(), $bobPrivate->toHex());
- */
- $alicePrivate = $this->getInstance(
- '22606EDA7960458BC9D65F46DD96F114F9A004F0493C1F26' .
- '2139D2C8063B733162E876182CA3BF063AB1A167ABDB7F03' .
- 'E0A225A6205660439F6CE46D252069FF',
- 16
- );
- $bobPrivate = $this->getInstance(
- '6E3EFA13A96025D63E4B0D88A09B3A46DDFE9DD3BC9D1655' .
- '4898C02B4AC181F0CEB4E818664B12F02C71A07215C400F9' .
- '88352A4779F3E88836F7C3D3B3C739DE',
- 16
- );
- $alicePublic = $generator->modPow($alicePrivate, $prime);
- $bobPublic = $generator->modPow($bobPrivate, $prime);
- $aliceShared = $bobPublic->modPow($alicePrivate, $prime);
- $bobShared = $alicePublic->modPow($bobPrivate, $prime);
- $this->assertTrue(
- $aliceShared->equals($bobShared),
- 'Failed asserting that Alice and Bob share the same BigInteger.'
- );
- }
- }