* @copyright 2017 Jim Wigginton * @license http://www.opensource.org/licenses/mit-license.html MIT License * @link http://pear.php.net/package/Math_BigInteger */ namespace phpseclib3\Crypt\EC\Curves; use phpseclib3\Crypt\EC\BaseCurves\Prime; use phpseclib3\Math\BigInteger; class secp192r1 extends Prime { public function __construct() { $modulo = new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF', 16); $this->setModulo($modulo); // algorithm 2.27 from http://diamond.boisestate.edu/~liljanab/MATH308/GuideToECC.pdf#page=66 /* in theory this should be faster than regular modular reductions save for one small issue. to convert to / from base-2**8 with BCMath you have to call bcmul() and bcdiv() a lot. to convert to / from base-2**8 with PHP64 you have to call base256_rshift() a lot. in short, converting to / from base-2**8 is pretty expensive and that expense is enough to offset whatever else might be gained by a simplified reduction algorithm. now, if PHP supported unsigned integers things might be different. no bit-shifting would be required for the PHP engine and it'd be a lot faster. but as is, BigInteger uses base-2**31 or base-2**26 depending on whether or not the system is has a 32-bit or a 64-bit OS. */ /* $m_length = $this->getLengthInBytes(); $this->setReduction(function($c) use ($m_length) { $cBytes = $c->toBytes(); $className = $this->className; if (strlen($cBytes) > 2 * $m_length) { list(, $r) = $c->divide($className::$modulo); return $r; } $c = str_pad($cBytes, 48, "\0", STR_PAD_LEFT); $c = array_reverse(str_split($c, 8)); $null = "\0\0\0\0\0\0\0\0"; $s1 = new BigInteger($c[2] . $c[1] . $c[0], 256); $s2 = new BigInteger($null . $c[3] . $c[3], 256); $s3 = new BigInteger($c[4] . $c[4] . $null, 256); $s4 = new BigInteger($c[5] . $c[5] . $c[5], 256); $r = $s1->add($s2)->add($s3)->add($s4); while ($r->compare($className::$modulo) >= 0) { $r = $r->subtract($className::$modulo); } return $r; }); */ $this->setCoefficients( new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC', 16), new BigInteger('64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1', 16) ); $this->setBasePoint( new BigInteger('188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012', 16), new BigInteger('07192B95FFC8DA78631011ED6B24CDD573F977A11E794811', 16) ); $this->setOrder(new BigInteger('FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831', 16)); } }