mirror of
https://github.com/danog/phpseclib.git
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785b37b505
This was previously required to load MATH_BIGINTEGER_MODE_* constants, but these are autoloadable via \phpseclib\Math\BigInteger::MODE_* now and the include path was removed.
359 lines
11 KiB
PHP
359 lines
11 KiB
PHP
<?php
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/**
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* @author Andreas Fischer <bantu@phpbb.com>
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* @copyright 2012 Andreas Fischer
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* @license http://www.opensource.org/licenses/mit-license.html MIT License
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*/
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abstract class Unit_Math_BigInteger_TestCase extends PhpseclibTestCase
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{
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public static function setUpBeforeClass()
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{
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parent::setUpBeforeClass();
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self::reRequireFile('Math/BigInteger.php');
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}
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public function getInstance($x = 0, $base = 10)
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{
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return new \phpseclib\Math\BigInteger($x, $base);
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}
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public function testConstructorBase2()
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{
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// 2**65 = 36893488147419103232
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$this->assertSame('36893488147419103232', (string) $this->getInstance('1' . str_repeat('0', 65), 2));
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}
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public function testConstructorBase10()
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{
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$this->assertSame('18446744073709551616', (string) $this->getInstance('18446744073709551616'));
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}
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public function testConstructorBase16()
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{
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$this->assertSame('50', (string) $this->getInstance('0x32', 16));
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$this->assertSame('12345678910', (string) $this->getInstance('0x2DFDC1C3E', 16));
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$this->assertSame('18446744073709551615', (string) $this->getInstance('0xFFFFFFFFFFFFFFFF', 16));
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$this->assertSame('18446744073709551616', (string) $this->getInstance('0x10000000000000000', 16));
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}
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public function testToBytes()
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{
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$this->assertSame(chr(65), $this->getInstance('65')->toBytes());
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}
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public function testToBytesTwosCompliment()
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{
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$this->assertSame(chr(126), $this->getInstance('01111110', 2)->toBytes(true));
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}
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public function testToHex()
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{
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$this->assertSame('41', $this->getInstance('65')->toHex());
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}
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public function testToBits()
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{
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$this->assertSame('1000001', $this->getInstance('65')->toBits());
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}
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public function testAdd()
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{
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$x = $this->getInstance('18446744073709551615');
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$y = $this->getInstance('100000000000');
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$a = $x->add($y);
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$b = $y->add($x);
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$this->assertTrue($a->equals($b));
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$this->assertTrue($b->equals($a));
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$this->assertSame('18446744173709551615', (string) $a);
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$this->assertSame('18446744173709551615', (string) $b);
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}
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public function testSubtract()
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{
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$x = $this->getInstance('18446744073709551618');
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$y = $this->getInstance('4000000000000');
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$this->assertSame('18446740073709551618', (string) $x->subtract($y));
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}
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public function testMultiply()
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{
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$x = $this->getInstance('8589934592'); // 2**33
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$y = $this->getInstance('36893488147419103232'); // 2**65
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$a = $x->multiply($y); // 2**98
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$b = $y->multiply($x); // 2**98
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$this->assertTrue($a->equals($b));
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$this->assertTrue($b->equals($a));
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$this->assertSame('316912650057057350374175801344', (string) $a);
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$this->assertSame('316912650057057350374175801344', (string) $b);
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}
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public function testDivide()
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{
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$x = $this->getInstance('1180591620717411303425'); // 2**70 + 1
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$y = $this->getInstance('12345678910');
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list($q, $r) = $x->divide($y);
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$this->assertSame('95627922070', (string) $q);
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$this->assertSame('10688759725', (string) $r);
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}
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public function testModPow()
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{
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$a = $this->getInstance('10');
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$b = $this->getInstance('20');
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$c = $this->getInstance('30');
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$d = $a->modPow($b, $c);
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$this->assertSame('10', (string) $d);
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}
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public function testModInverse()
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{
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$a = $this->getInstance(30);
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$b = $this->getInstance(17);
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$c = $a->modInverse($b);
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$this->assertSame('4', (string) $c);
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$d = $a->multiply($c);
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list($q, $r) = $d->divide($b);
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$this->assertSame('1', (string) $r);
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}
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public function testExtendedGCD()
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{
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$a = $this->getInstance(693);
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$b = $this->getInstance(609);
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$arr = $a->extendedGCD($b);
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$this->assertSame('21', (string) $arr['gcd']);
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$this->assertSame(21, $a->toString() * $arr['x']->toString() + $b->toString() * $arr['y']->toString());
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}
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public function testGCD()
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{
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$x = $this->getInstance(693);
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$y = $this->getInstance(609);
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$this->assertSame('21', (string) $x->gcd($y));
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}
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public function testAbs()
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{
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$x = $this->getInstance('-18446744073709551617');
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$y = $x->abs();
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$this->assertSame('-18446744073709551617', (string) $x);
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$this->assertSame('18446744073709551617', (string) $y);
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}
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public function testEquals()
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{
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$x = $this->getInstance('18446744073709551616');
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$y = $this->getInstance('18446744073709551616');
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$this->assertTrue($x->equals($y));
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$this->assertTrue($y->equals($x));
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}
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public function testCompare()
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{
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$a = $this->getInstance('-18446744073709551616');
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$b = $this->getInstance('36893488147419103232');
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$c = $this->getInstance('36893488147419103232');
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$d = $this->getInstance('316912650057057350374175801344');
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// a < b
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$this->assertLessThan(0, $a->compare($b));
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$this->assertGreaterThan(0, $b->compare($a));
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// b = c
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$this->assertSame(0, $b->compare($c));
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$this->assertSame(0, $c->compare($b));
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// c < d
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$this->assertLessThan(0, $c->compare($d));
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$this->assertGreaterThan(0, $d->compare($c));
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}
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public function testBitwiseAND()
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{
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$x = $this->getInstance('66666666666666666666666', 16);
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$y = $this->getInstance('33333333333333333333333', 16);
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$z = $this->getInstance('22222222222222222222222', 16);
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$this->assertSame($z->toHex(), $x->bitwise_AND($y)->toHex());
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}
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public function testBitwiseOR()
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{
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$x = $this->getInstance('11111111111111111111111', 16);
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$y = $this->getInstance('EEEEEEEEEEEEEEEEEEEEEEE', 16);
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$z = $this->getInstance('FFFFFFFFFFFFFFFFFFFFFFF', 16);
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$this->assertSame($z->toHex(), $x->bitwise_OR($y)->toHex());
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}
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public function testBitwiseXOR()
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{
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$x = $this->getInstance('AFAFAFAFAFAFAFAFAFAFAFAF', 16);
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$y = $this->getInstance('133713371337133713371337', 16);
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$z = $this->getInstance('BC98BC98BC98BC98BC98BC98', 16);
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$this->assertSame($z->toHex(), $x->bitwise_XOR($y)->toHex());
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}
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public function testBitwiseNOT()
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{
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$x = $this->getInstance('EEEEEEEEEEEEEEEEEEEEEEE', 16);
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$z = $this->getInstance('11111111111111111111111', 16);
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$this->assertSame($z->toHex(), $x->bitwise_NOT()->toHex());
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}
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public function testBitwiseLeftShift()
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{
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$x = $this->getInstance('0x0000000FF0000000', 16);
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$y = $this->getInstance('0x000FF00000000000', 16);
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$this->assertSame($y->toHex(), $x->bitwise_LeftShift(16)->toHex());
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}
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public function testBitwiseRightShift()
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{
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$x = $this->getInstance('0x0000000FF0000000', 16);
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$y = $this->getInstance('0x00000000000FF000', 16);
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$z = $this->getInstance('0x000000000000000F', 16);
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$n = $this->getInstance(0);
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$this->assertSame($y->toHex(), $x->bitwise_RightShift(16)->toHex());
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$this->assertSame($z->toHex(), $x->bitwise_RightShift(32)->toHex());
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$this->assertSame($n->toHex(), $x->bitwise_RightShift(36)->toHex());
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}
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public function testSerializable()
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{
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$x = $this->getInstance('18446744073709551616');
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$y = unserialize(serialize($x));
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$this->assertTrue($x->equals($y));
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$this->assertTrue($y->equals($x));
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$this->assertSame('18446744073709551616', (string) $x);
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$this->assertSame('18446744073709551616', (string) $y);
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}
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public function testClone()
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{
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$x = $this->getInstance('18446744073709551616');
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$y = clone $x;
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$this->assertTrue($x->equals($y));
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$this->assertTrue($y->equals($x));
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$this->assertSame('18446744073709551616', (string) $x);
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$this->assertSame('18446744073709551616', (string) $y);
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}
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public function testRandomTwoArgument()
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{
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$min = $this->getInstance(0);
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$max = $this->getInstance('18446744073709551616');
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$rand1 = $min->random($min, $max);
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// technically $rand1 can equal $min but with the $min and $max we've
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// chosen it's just not that likely
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$this->assertTrue($rand1->compare($min) > 0);
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$this->assertTrue($rand1->compare($max) < 0);
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}
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public function testRandomOneArgument()
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{
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$min = $this->getInstance(0);
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$max = $this->getInstance('18446744073709551616');
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$rand1 = $min->random($max);
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$this->assertTrue($rand1->compare($min) > 0);
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$this->assertTrue($rand1->compare($max) < 0);
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$rand2 = $max->random($min);
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$this->assertTrue($rand2->compare($min) > 0);
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$this->assertTrue($rand2->compare($max) < 0);
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$this->assertFalse($rand1->equals($rand2));
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}
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/**
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* @group github279
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*/
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public function testDiffieHellmanKeyAgreement()
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{
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if (getenv('TRAVIS') && PHP_VERSION === '5.3.3'
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&& MATH_BIGINTEGER_MODE === \phpseclib\Math\BigInteger::MODE_INTERNAL
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) {
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$this->markTestIncomplete(
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'This test hangs on PHP 5.3.3 using internal mode.'
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);
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}
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// "Oakley Group 14" 2048-bit modular exponentiation group as used in
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// SSH2 diffie-hellman-group14-sha1
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$prime = $this->getInstance(
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'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1' .
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'29024E088A67CC74020BBEA63B139B22514A08798E3404DD' .
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'EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245' .
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'E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
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'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D' .
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'C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F' .
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'83655D23DCA3AD961C62F356208552BB9ED529077096966D' .
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'670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
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'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9' .
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'DE2BCBF6955817183995497CEA956AE515D2261898FA0510' .
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'15728E5A8AACAA68FFFFFFFFFFFFFFFF',
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16
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);
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$generator = $this->getInstance(2);
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/*
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Code for generation of $alicePrivate and $bobPrivate.
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$one = $this->getInstance(1);
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$max = $one->bitwise_leftShift(512)->subtract($one);
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$alicePrivate = $one->random($one, $max);
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$bobPrivate = $one->random($one, $max);
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var_dump($alicePrivate->toHex(), $bobPrivate->toHex());
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*/
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$alicePrivate = $this->getInstance(
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'22606EDA7960458BC9D65F46DD96F114F9A004F0493C1F26' .
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'2139D2C8063B733162E876182CA3BF063AB1A167ABDB7F03' .
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'E0A225A6205660439F6CE46D252069FF',
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16
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);
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$bobPrivate = $this->getInstance(
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'6E3EFA13A96025D63E4B0D88A09B3A46DDFE9DD3BC9D1655' .
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'4898C02B4AC181F0CEB4E818664B12F02C71A07215C400F9' .
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'88352A4779F3E88836F7C3D3B3C739DE',
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16
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);
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$alicePublic = $generator->modPow($alicePrivate, $prime);
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$bobPublic = $generator->modPow($bobPrivate, $prime);
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$aliceShared = $bobPublic->modPow($alicePrivate, $prime);
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$bobShared = $alicePublic->modPow($bobPrivate, $prime);
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$this->assertTrue(
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$aliceShared->equals($bobShared),
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'Failed asserting that Alice and Bob share the same BigInteger.'
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);
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}
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}
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