| 1 |  |  | <?php | 
            
                                                                                                            
                            
            
                                    
            
            
                | 2 |  |  | declare(strict_types=1); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 3 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 4 |  |  | namespace Mdanter\Ecc\Curves; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 5 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 6 |  |  | use Mdanter\Ecc\Math\GmpMathInterface; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 7 |  |  | use Mdanter\Ecc\Primitives\CurveParameters; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 8 |  |  | use Mdanter\Ecc\Primitives\GeneratorPoint; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 9 |  |  | use Mdanter\Ecc\Random\RandomNumberGeneratorInterface; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 10 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 11 |  |  | /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 12 |  |  |  * ********************************************************************* | 
            
                                                                                                            
                            
            
                                    
            
            
                | 13 |  |  |  * Copyright (C) 2012 Matyas Danter | 
            
                                                                                                            
                            
            
                                    
            
            
                | 14 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 15 |  |  |  * Permission is hereby granted, free of charge, to any person obtaining | 
            
                                                                                                            
                            
            
                                    
            
            
                | 16 |  |  |  * a copy of this software and associated documentation files (the "Software"), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 17 |  |  |  * to deal in the Software without restriction, including without limitation | 
            
                                                                                                            
                            
            
                                    
            
            
                | 18 |  |  |  * the rights to use, copy, modify, merge, publish, distribute, sublicense, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 19 |  |  |  * and/or sell copies of the Software, and to permit persons to whom the | 
            
                                                                                                            
                            
            
                                    
            
            
                | 20 |  |  |  * Software is furnished to do so, subject to the following conditions: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 21 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 22 |  |  |  * The above copyright notice and this permission notice shall be included | 
            
                                                                                                            
                            
            
                                    
            
            
                | 23 |  |  |  * in all copies or substantial portions of the Software. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 24 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 25 |  |  |  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS | 
            
                                                                                                            
                            
            
                                    
            
            
                | 26 |  |  |  * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 27 |  |  |  * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL | 
            
                                                                                                            
                            
            
                                    
            
            
                | 28 |  |  |  * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES | 
            
                                                                                                            
                            
            
                                    
            
            
                | 29 |  |  |  * OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 30 |  |  |  * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR | 
            
                                                                                                            
                            
            
                                    
            
            
                | 31 |  |  |  * OTHER DEALINGS IN THE SOFTWARE. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 32 |  |  |  * *********************************************************************** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 33 |  |  |  */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 34 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 35 |  |  | /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 36 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 37 |  |  |  */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 38 |  |  | class SecgCurve | 
            
                                                                                                            
                            
            
                                    
            
            
                | 39 |  |  | { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 40 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 41 |  |  |      * @var GmpMathInterface | 
            
                                                                                                            
                            
            
                                    
            
            
                | 42 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 43 |  |  |     private $adapter; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 44 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 45 |  |  |     const NAME_SECP_112R1 = 'secp112r1'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 46 |  |  |     const NAME_SECP_192K1 = 'secp192k1'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 47 |  |  |     const NAME_SECP_256K1 = 'secp256k1'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 48 |  |  |     const NAME_SECP_256R1 = 'secp256r1'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 49 |  |  |     const NAME_SECP_384R1 = 'secp384r1'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 50 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 51 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 52 |  |  |      * @param GmpMathInterface $adapter | 
            
                                                                                                            
                            
            
                                    
            
            
                | 53 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 54 |  |  |     public function __construct(GmpMathInterface $adapter) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 55 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 56 |  |  |         $this->adapter = $adapter; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 57 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 58 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 59 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 60 |  |  |      * @return NamedCurveFp | 
            
                                                                                                            
                            
            
                                    
            
            
                | 61 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 62 |  |  |     public function curve112r1(): NamedCurveFp | 
            
                                                                                                            
                            
            
                                    
            
            
                | 63 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 64 |  |  |         $p = gmp_init('0xDB7C2ABF62E35E668076BEAD208B', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 65 |  |  |         $a = gmp_init('0xDB7C2ABF62E35E668076BEAD2088', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 66 |  |  |         $b = gmp_init('0x659EF8BA043916EEDE8911702B22', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 67 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 68 |  |  |         $parameters = new CurveParameters(112, $p, $a, $b); | 
                            
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                | 69 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 70 |  |  |         return new NamedCurveFp(self::NAME_SECP_112R1, $parameters, $this->adapter); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 71 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 72 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 73 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 74 |  |  |      * @param RandomNumberGeneratorInterface $randomGenerator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 75 |  |  |      * @return GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 76 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 77 |  |  |     public function generator112r1(RandomNumberGeneratorInterface $randomGenerator = null): GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 78 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 79 |  |  |         $curve = $this->curve112r1(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 80 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 81 |  |  |         $order = gmp_init('0xDB7C2ABF62E35E7628DFAC6561C5', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 82 |  |  |         $x = gmp_init('0x09487239995A5EE76B55F9C2F098', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 83 |  |  |         $y = gmp_init('0xA89CE5AF8724C0A23E0E0FF77500', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 84 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 85 |  |  |         return $curve->getGenerator($x, $y, $order, $randomGenerator); | 
                            
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                | 86 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 87 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 88 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 89 |  |  |      * @return NamedCurveFp | 
            
                                                                                                            
                            
            
                                    
            
            
                | 90 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 91 |  |  |     public function curve192k1(): NamedCurveFp | 
            
                                                                                                            
                            
            
                                    
            
            
                | 92 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 93 |  |  |         $p = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 94 |  |  |         $a = gmp_init(0, 10); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 95 |  |  |         $b = gmp_init(3, 10); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 96 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 97 |  |  |         $parameters = new CurveParameters(192, $p, $a, $b); | 
                            
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                | 98 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 99 |  |  |         return new NamedCurveFp(self::NAME_SECP_192K1, $parameters, $this->adapter); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 100 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 101 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 102 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 103 |  |  |      * @param RandomNumberGeneratorInterface $randomGenerator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 104 |  |  |      * @return \Mdanter\Ecc\Primitives\GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 105 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 106 |  |  |     public function generator192k1(RandomNumberGeneratorInterface $randomGenerator = null): GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 107 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 108 |  |  |         $curve = $this->curve192k1(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 109 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 110 |  |  |         $order = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 111 |  |  |         $x = gmp_init('0xDB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 112 |  |  |         $y = gmp_init('0x9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 113 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 114 |  |  |         return $curve->getGenerator($x, $y, $order, $randomGenerator); | 
                            
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                | 115 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 116 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 117 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 118 |  |  |      * @return NamedCurveFp | 
            
                                                                                                            
                            
            
                                    
            
            
                | 119 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 120 |  |  |     public function curve256k1(): NamedCurveFp | 
            
                                                                                                            
                            
            
                                    
            
            
                | 121 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 122 |  |  |         $p = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 123 |  |  |         $a = gmp_init(0, 10); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 124 |  |  |         $b = gmp_init(7, 10); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 125 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 126 |  |  |         $parameters = new CurveParameters(256, $p, $a, $b); | 
                            
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                | 127 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 128 |  |  |         return new NamedCurveFp(self::NAME_SECP_256K1, $parameters, $this->adapter); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 129 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 130 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 131 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 132 |  |  |      * @param RandomNumberGeneratorInterface $randomGenerator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 133 |  |  |      * @return GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 134 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 135 |  |  |     public function generator256k1(RandomNumberGeneratorInterface $randomGenerator = null): GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 136 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 137 |  |  |         $curve = $this->curve256k1(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 138 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 139 |  |  |         $order = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 140 |  |  |         $x = gmp_init('0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 141 |  |  |         $y = gmp_init('0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 142 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 143 |  |  |         return $curve->getGenerator($x, $y, $order, $randomGenerator); | 
                            
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                | 144 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 145 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 146 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 147 |  |  |      * @return NamedCurveFp | 
            
                                                                                                            
                            
            
                                    
            
            
                | 148 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 149 |  |  |     public function curve256r1(): NamedCurveFp | 
            
                                                                                                            
                            
            
                                    
            
            
                | 150 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 151 |  |  |         $p = gmp_init('0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 152 |  |  |         $a = gmp_init('0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 153 |  |  |         $b = gmp_init('0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 154 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 155 |  |  |         $parameters = new CurveParameters(256, $p, $a, $b); | 
                            
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                | 156 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 157 |  |  |         return new NamedCurveFp(self::NAME_SECP_256R1, $parameters, $this->adapter); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 158 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 159 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 160 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 161 |  |  |      * @param RandomNumberGeneratorInterface $randomGenerator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 162 |  |  |      * @return GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 163 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 164 |  |  |     public function generator256r1(RandomNumberGeneratorInterface $randomGenerator = null): GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 165 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 166 |  |  |         $curve = $this->curve256r1(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 167 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 168 |  |  |         $order = gmp_init('0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 169 |  |  |         $x = gmp_init('0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 170 |  |  |         $y = gmp_init('0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 171 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 172 |  |  |         return $curve->getGenerator($x, $y, $order, $randomGenerator); | 
                            
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                | 173 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 174 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 175 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 176 |  |  |      * @return NamedCurveFp | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 177 |  |  |      */ | 
            
                                                                        
                            
            
                                    
            
            
                | 178 |  |  |     public function curve384r1(): NamedCurveFp | 
            
                                                                        
                            
            
                                    
            
            
                | 179 |  |  |     { | 
            
                                                                        
                            
            
                                    
            
            
                | 180 |  |  |         $p = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF', 16); | 
            
                                                                        
                            
            
                                    
            
            
                | 181 |  |  |         $a = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC', 16); | 
            
                                                                        
                            
            
                                    
            
            
                | 182 |  |  |         $b = gmp_init('0xB3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF', 16); | 
            
                                                                        
                            
            
                                    
            
            
                | 183 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 184 |  |  |         $parameters = new CurveParameters(384, $p, $a, $b); | 
                            
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                | 185 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 186 |  |  |         return new NamedCurveFp(self::NAME_SECP_384R1, $parameters, $this->adapter); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 187 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 188 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 189 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 190 |  |  |      * @param RandomNumberGeneratorInterface $randomGenerator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 191 |  |  |      * @return GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 192 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 193 |  |  |     public function generator384r1(RandomNumberGeneratorInterface $randomGenerator = null): GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 194 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 195 |  |  |         $curve = $this->curve384r1(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 196 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 197 |  |  |         $order = gmp_init('0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 198 |  |  |         $x = gmp_init('0xAA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 199 |  |  |         $y = gmp_init('0x3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F', 16); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 200 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 201 |  |  |         return $curve->getGenerator($x, $y, $order, $randomGenerator); | 
                            
                    |  |  |  | 
                                                                                        
                                                                                            
                                                                                            
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                | 202 |  |  |     } | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 203 |  |  | } | 
            
                                                        
            
                                    
            
            
                | 204 |  |  |  |