* @copyright MMXII Andreas Fischer * @license http://www.opensource.org/licenses/mit-license.html MIT License */ require_once 'Math/BigInteger.php'; abstract class 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); } /** * @group github279 */ public function testDiffieHellmanKeyAgreement() { // "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); $one = $this->getInstance(1); $max = $one->bitwise_leftShift(512)->subtract($one); $alicePrivate = $one->random($one, $max); $alicePublic = $generator->modPow($alicePrivate, $prime); $bobPrivate = $one->random($one, $max); $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.' ); } }