<?php
namespace Mdanter\Ecc\Curves;
use Mdanter\Ecc\Math\GmpMathInterface;
use Mdanter\Ecc\Primitives\CurveParameters;
use Mdanter\Ecc\Random\RandomNumberGeneratorInterface;
/**
* *********************************************************************
* Copyright (C) 2012 Matyas Danter
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the "Software"),
* to deal in the Software without restriction, including without limitation
* the rights to use, copy, modify, merge, publish, distribute, sublicense,
* and/or sell copies of the Software, and to permit persons to whom the
* Software is furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included
* in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES
* OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
* OTHER DEALINGS IN THE SOFTWARE.
* ***********************************************************************
*/
/**
*
*/
class SecgCurve
{
/**
* @var GmpMathInterface
*/
private $adapter;
const NAME_SECP_112R1 = 'secp112r1';
const NAME_SECP_192K1 = 'secp192k1';
const NAME_SECP_256K1 = 'secp256k1';
const NAME_SECP_256R1 = 'secp256r1';
const NAME_SECP_384R1 = 'secp384r1';
/**
* @param GmpMathInterface $adapter
*/
public function __construct(GmpMathInterface $adapter)
{
$this->adapter = $adapter;
}
/**
* @return NamedCurveFp
*/
public function curve112r1()
{
$p = gmp_init('0xDB7C2ABF62E35E668076BEAD208B', 16);
$a = gmp_init('0xDB7C2ABF62E35E668076BEAD2088', 16);
$b = gmp_init('0x659EF8BA043916EEDE8911702B22', 16);
$parameters = new CurveParameters(112, $p, $a, $b);
return new NamedCurveFp(self::NAME_SECP_112R1, $parameters, $this->adapter);
}
/**
* @param RandomNumberGeneratorInterface $randomGenerator
* @return \Mdanter\Ecc\Primitives\GeneratorPoint
*/
public function generator112r1(RandomNumberGeneratorInterface $randomGenerator = null)
{
$curve = $this->curve112r1();
$order = gmp_init('0xDB7C2ABF62E35E7628DFAC6561C5', 16);
$x = gmp_init('0x09487239995A5EE76B55F9C2F098', 16);
$y = gmp_init('0xA89CE5AF8724C0A23E0E0FF77500', 16);
return $curve->getGenerator($x, $y, $order, $randomGenerator);
}
public function curve192k1()
{
$p = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37', 16);
$a = gmp_init(0, 10);
$b = gmp_init(3, 10);
$parameters = new CurveParameters(192, $p, $a, $b);
return new NamedCurveFp(self::NAME_SECP_192K1, $parameters, $this->adapter);
}
/**
* @param RandomNumberGeneratorInterface $randomGenerator
* @return \Mdanter\Ecc\Primitives\GeneratorPoint
*/
public function generator192k1(RandomNumberGeneratorInterface $randomGenerator = null)
{
$curve = $this->curve192k1();
$order = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D', 16);
$x = gmp_init('0xDB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D', 16);
$y = gmp_init('0x9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D', 16);
return $curve->getGenerator($x, $y, $order, $randomGenerator);
}
/**
* @return NamedCurveFp
*/
public function curve256k1()
{
$p = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F', 16);
$a = gmp_init(0, 10);
$b = gmp_init(7, 10);
$parameters = new CurveParameters(256, $p, $a, $b);
return new NamedCurveFp(self::NAME_SECP_256K1, $parameters, $this->adapter);
}
/**
* @param RandomNumberGeneratorInterface $randomGenerator
* @return \Mdanter\Ecc\Primitives\GeneratorPoint
*/
public function generator256k1(RandomNumberGeneratorInterface $randomGenerator = null)
{
$curve = $this->curve256k1();
$order = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141', 16);
$x = gmp_init('0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798', 16);
$y = gmp_init('0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8', 16);
return $curve->getGenerator($x, $y, $order, $randomGenerator);
}
/**
* @return NamedCurveFp
*/
public function curve256r1()
{
$p = gmp_init('0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF', 16);
$a = gmp_init('0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC', 16);
$b = gmp_init('0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B', 16);
$parameters = new CurveParameters(256, $p, $a, $b);
return new NamedCurveFp(self::NAME_SECP_256R1, $parameters, $this->adapter);
}
/**
* @param RandomNumberGeneratorInterface $randomGenerator
* @return \Mdanter\Ecc\Primitives\GeneratorPoint
*/
public function generator256r1(RandomNumberGeneratorInterface $randomGenerator = null)
{
$curve = $this->curve256r1();
$order = gmp_init('0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551', 16);
$x = gmp_init('0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296', 16);
$y = gmp_init('0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5', 16);
return $curve->getGenerator($x, $y, $order, $randomGenerator);
}
/**
* @return NamedCurveFp
*/
public function curve384r1()
{
$p = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF', 16);
$a = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC', 16);
$b = gmp_init('0xB3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF', 16);
$parameters = new CurveParameters(384, $p, $a, $b);
return new NamedCurveFp(self::NAME_SECP_384R1, $parameters, $this->adapter);
}
/**
* @param RandomNumberGeneratorInterface $randomGenerator
* @return \Mdanter\Ecc\Primitives\GeneratorPoint
*/
public function generator384r1(RandomNumberGeneratorInterface $randomGenerator = null)
{
$curve = $this->curve384r1();
$order = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973', 16);
$x = gmp_init('0xAA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7', 16);
$y = gmp_init('0x3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F', 16);
return $curve->getGenerator($x, $y, $order, $randomGenerator);
}
}