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phpseclib/tests/Unit/Math/BigInteger/TestCase.php
terrafrost e4bf7b111a Merge branch '2.0' into 3.0
2020-12-12 19:22:36 -06:00

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<?php
/**
* @author Andreas Fischer <bantu@phpbb.com>
* @copyright 2012 Andreas Fischer
* @license http://www.opensource.org/licenses/mit-license.html MIT License
*/
abstract class Unit_Math_BigInteger_TestCase extends PhpseclibTestCase
{
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 testConstructorBase256()
{
$this->assertSame('-128', (string) $this->getInstance("\x80", -256));
}
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());
$this->assertSame('10', $this->getInstance('-2')->toBits());
$this->assertSame('11111110', $this->getInstance('-2')->toBits(true));
}
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);
$x = $this->getInstance('3369993333393829974333376885877453834204643052817571560137951281152');
$y = $this->getInstance('4294967296');
list($q, $r) = $x->divide($y);
$this->assertSame('784637716923335095479473677900958302012794430558004314112', (string) $q);
$this->assertSame('0', (string) $r);
$x = $this->getInstance('3369993333393829974333376885877453834204643052817571560137951281153');
$y = $this->getInstance('4294967296');
list($q, $r) = $x->divide($y);
$this->assertSame('784637716923335095479473677900958302012794430558004314112', (string) $q);
$this->assertSame('1', (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));
$this->assertSame(-1, $this->getInstance(-999)->compare($this->getInstance(370)));
$this->assertSame(1, $this->getInstance(999)->compare($this->getInstance(-700)));
}
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());
$x = -0xFFFF;
$y = 2;
$z = $x ^ $y;
$x = $this->getInstance($x);
$y = $this->getInstance($y);
$z = $this->getInstance($z);
$this->assertSame($z->toString(), $x->bitwise_OR($y)->toString());
$this->assertSame($z->toString(), $y->bitwise_OR($x)->toString());
}
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());
// @group github1245
$a = $this->getInstance(1);
$b = $this->getInstance(-2);
$c = $a->bitwise_xor($b);
$this->assertSame("$c", '-1');
$a = $this->getInstance('-6725760161961546982');
$b = $this->getInstance(51);
$c = $a->bitwise_xor($b);
$this->assertSame("$c", '-6725760161961546967');
}
public function testBitwiseNOT()
{
$x = $this->getInstance('EEEEEEEEEEEEEEEEEEEEEEE', 16);
$z = $this->getInstance('11111111111111111111111', 16);
$this->assertSame($z->toHex(), $x->bitwise_NOT()->toHex());
$a = $this->getInstance(0);
$a->bitwise_not();
$this->assertSame($a->toString(), '0');
}
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');
$class = static::getStaticClass();
$rand1 = $class::randomRange($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);
}
/**
* @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);
/*
Code for generation of $alicePrivate and $bobPrivate.
$class = static::getStaticClass();
$one = $this->getInstance(1);
$max = $one->bitwise_leftShift(512)->subtract($one);
$alicePrivate = $static::randomRange($one, $max);
$bobPrivate = $static::randomRange($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.'
);
}
/**
* @requires PHP 5.6
*/
public function testDebugInfo()
{
$num = $this->getInstance(50);
$str = print_r($num, true);
$this->assertStringContainsString('[value] => 0x32', $str);
}
public function testPrecision()
{
$a = $this->getInstance(51);
$this->assertSame($a->getPrecision(), -1);
$b = $a;
$c = clone $a;
$b->setPrecision(1);
$this->assertSame($a->getPrecision(), 1);
$this->assertSame("$a", '1');
$this->assertSame($b->getPrecision(), 1);
$this->assertSame("$b", '1');
$this->assertSame($c->getPrecision(), -1);
$this->assertSame("$c", '51');
}
/**
* @group github954
*/
public function testSlidingWindow()
{
$e = $this->getInstance(str_repeat('1', 1794), 2);
$x = $this->getInstance(1);
$n = $this->getInstance(2);
$x->powMod($e, $n);
}
public function testRoot()
{
$bigInteger = $this->getInstance('64000000'); // (20^2)^3
$bigInteger = $bigInteger->root();
$this->assertSame('8000', (string) $bigInteger);
$bigInteger = $bigInteger->root(3);
$this->assertSame('20', (string) $bigInteger);
}
public function testPow()
{
$bigInteger = $this->getInstance('20');
$two = $this->getInstance('2');
$three = $this->getInstance('3');
$bigInteger = $bigInteger->pow($two);
$this->assertSame('400', (string) $bigInteger);
$bigInteger = $bigInteger->pow($three);
$this->assertSame('64000000', (string) $bigInteger); // (20^2)^3
}
public function testMax()
{
$class = static::getStaticClass();
$min = $this->getInstance('20');
$max = $this->getInstance('20000');
$this->assertSame((string) $max, (string) $class::max($min, $max));
$this->assertSame((string) $max, (string) $class::max($max, $min));
}
public function testMin()
{
$class = static::getStaticClass();
$min = $this->getInstance('20');
$max = $this->getInstance('20000');
$this->assertSame((string) $min, (string) $class::min($min, $max));
$this->assertSame((string) $min, (string) $class::min($max, $min));
}
public function testRandomPrime()
{
$class = static::getStaticClass();
$prime = $class::randomPrime(128);
$this->assertSame(128, $prime->getLength());
}
/**
* @group github1260
*/
public function testZeros()
{
$a = $this->getInstance();
$b = $this->getInstance('00', 16);
$this->assertTrue($a->equals($b));
}
/**
* @group github1264
*/
public function test48ToHex()
{
$temp = $this->getInstance(48);
$this->assertSame($temp->toHex(true), '30');
}
public function testZeroBase10()
{
$temp = $this->getInstance('00');
$this->assertSame($temp->toString(), '0');
$temp = $this->getInstance('-0');
$this->assertSame($temp->toString(), '0');
}
public function testNegativePrecision()
{
$vals = array(
'-9223372036854775808', // eg. 8000 0000 0000 0000
'-1'
);
foreach ($vals as $val) {
$x = $this->getInstance($val);
$x->setPrecision(64); // ie. 8 bytes
$this->assertSame($val, "$x");
$r = $x->toBytes(true);
$this->assertSame(8, strlen($r));
$x2 = $this->getInstance($r, -256);
$this->assertSame(0, $x->compare($x2));
}
}
}
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