| 1 |  |  | <?php | 
            
                                                                                                            
                            
            
                                    
            
            
                | 2 |  |  | declare(strict_types=1); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 3 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 4 |  |  | /*********************************************************************** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 5 |  |  | Copyright (C) 2012 Matyas Danter | 
            
                                                                                                            
                            
            
                                    
            
            
                | 6 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 7 |  |  | Permission is hereby granted, free of charge, to any person obtaining | 
            
                                                                                                            
                            
            
                                    
            
            
                | 8 |  |  | a copy of this software and associated documentation files (the "Software"), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 9 |  |  | to deal in the Software without restriction, including without limitation | 
            
                                                                                                            
                            
            
                                    
            
            
                | 10 |  |  | the rights to use, copy, modify, merge, publish, distribute, sublicense, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 11 |  |  | and/or sell copies of the Software, and to permit persons to whom the | 
            
                                                                                                            
                            
            
                                    
            
            
                | 12 |  |  | Software is furnished to do so, subject to the following conditions: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 13 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 14 |  |  | The above copyright notice and this permission notice shall be included | 
            
                                                                                                            
                            
            
                                    
            
            
                | 15 |  |  | in all copies or substantial portions of the Software. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 16 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 17 |  |  | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS | 
            
                                                                                                            
                            
            
                                    
            
            
                | 18 |  |  | OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 19 |  |  | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL | 
            
                                                                                                            
                            
            
                                    
            
            
                | 20 |  |  | THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES | 
            
                                                                                                            
                            
            
                                    
            
            
                | 21 |  |  | OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 22 |  |  | ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR | 
            
                                                                                                            
                            
            
                                    
            
            
                | 23 |  |  | OTHER DEALINGS IN THE SOFTWARE. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 24 |  |  |  *************************************************************************/ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 25 |  |  | namespace Mdanter\Ecc\Primitives; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 26 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 27 |  |  | use Mdanter\Ecc\Exception\PointRecoveryException; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 28 |  |  | use Mdanter\Ecc\Exception\SquareRootException; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 29 |  |  | use Mdanter\Ecc\Math\GmpMathInterface; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 30 |  |  | use Mdanter\Ecc\Math\ModularArithmetic; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 31 |  |  | use Mdanter\Ecc\Random\RandomNumberGeneratorInterface; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 32 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 33 |  |  | /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 34 |  |  |  * This class is a representation of an EC over a field modulo a prime number | 
            
                                                                                                            
                            
            
                                    
            
            
                | 35 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 36 |  |  |  * Important objectives for this class are: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 37 |  |  |  * - Does the curve contain a point? | 
            
                                                                                                            
                            
            
                                    
            
            
                | 38 |  |  |  * - Comparison of two curves. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 39 |  |  |  */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 40 |  |  | class CurveFp implements CurveFpInterface | 
            
                                                                                                            
                            
            
                                    
            
            
                | 41 |  |  | { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 42 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 43 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 44 |  |  |      * @var CurveParameters | 
            
                                                                                                            
                            
            
                                    
            
            
                | 45 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 46 |  |  |     protected $parameters; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 47 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 48 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 49 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 50 |  |  |      * @var GmpMathInterface | 
            
                                                                                                            
                            
            
                                    
            
            
                | 51 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 52 |  |  |     protected $adapter = null; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 53 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 54 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 55 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 56 |  |  |      * @var ModularArithmetic | 
            
                                                                                                            
                            
            
                                    
            
            
                | 57 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 58 |  |  |     protected $modAdapter = null; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 59 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 60 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 61 |  |  |      * Constructor that sets up the instance variables. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 62 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 63 |  |  |      * @param CurveParameters $parameters | 
            
                                                                                                            
                            
            
                                    
            
            
                | 64 |  |  |      * @param GmpMathInterface $adapter | 
            
                                                                                                            
                            
            
                                    
            
            
                | 65 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 66 |  |  |     public function __construct(CurveParameters $parameters, GmpMathInterface $adapter) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 67 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 68 |  |  |         $this->parameters = $parameters; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 69 |  |  |         $this->adapter = $adapter; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 70 |  |  |         $this->modAdapter = new ModularArithmetic($this->adapter, $this->parameters->getPrime()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 71 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 72 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 73 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 74 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 75 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::getModAdapter() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 76 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 77 |  |  |     public function getModAdapter(): ModularArithmetic | 
            
                                                                                                            
                            
            
                                    
            
            
                | 78 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 79 |  |  |         return $this->modAdapter; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 80 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 81 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 82 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 83 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 84 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::getPoint() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 85 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 86 |  |  |     public function getPoint(\GMP $x, \GMP $y, \GMP $order = null): PointInterface | 
            
                                                                                                            
                            
            
                                    
            
            
                | 87 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 88 |  |  |         return new Point($this->adapter, $this, $x, $y, $order); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 89 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 90 |  |  |      | 
            
                                                                                                            
                            
            
                                    
            
            
                | 91 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 92 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 93 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::getInfinity() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 94 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 95 |  |  |     public function getInfinity(): PointInterface | 
            
                                                                                                            
                            
            
                                    
            
            
                | 96 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 97 |  |  |         return new Point($this->adapter, $this, gmp_init(0, 10), gmp_init(0, 10), null, true); | 
                            
                    |  |  |  | 
                                                                                        
                                                                                            
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                | 98 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 99 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 100 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 101 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 102 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::getGenerator() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 103 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 104 |  |  |     public function getGenerator(\GMP $x, \GMP $y, \GMP $order, RandomNumberGeneratorInterface $randomGenerator = null): GeneratorPoint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 105 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 106 |  |  |         return new GeneratorPoint($this->adapter, $this, $x, $y, $order, $randomGenerator); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 107 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 108 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 109 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 110 |  |  |      * @param bool $wasOdd | 
            
                                                                                                            
                            
            
                                    
            
            
                | 111 |  |  |      * @param \GMP $xCoord | 
            
                                                                                                            
                            
            
                                    
            
            
                | 112 |  |  |      * @return \GMP | 
            
                                                                                                            
                            
            
                                    
            
            
                | 113 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 114 |  |  |     public function recoverYfromX(bool $wasOdd, \GMP $xCoord): \GMP | 
            
                                                                                                            
                            
            
                                    
            
            
                | 115 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 116 |  |  |         $math = $this->adapter; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 117 |  |  |         $prime = $this->getPrime(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 118 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 119 |  |  |         try { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 120 |  |  |             $root = $this->adapter->getNumberTheory()->squareRootModP( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 121 |  |  |                 $math->add( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 122 |  |  |                     $math->add( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 123 |  |  |                         $this->modAdapter->pow($xCoord, gmp_init(3, 10)), | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 124 |  |  |                         $math->mul($this->getA(), $xCoord) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 125 |  |  |                     ), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 126 |  |  |                     $this->getB() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 127 |  |  |                 ), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 128 |  |  |                 $prime | 
            
                                                                                                            
                            
            
                                    
            
            
                | 129 |  |  |             ); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 130 |  |  |         } catch (SquareRootException $e) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 131 |  |  |             throw new PointRecoveryException("Failed to recover y coordinate for point", 0, $e); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 132 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 133 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 134 |  |  |         if ($math->equals($math->mod($root, gmp_init(2, 10)), gmp_init(1)) === $wasOdd) { | 
                            
                    |  |  |  | 
                                                                                        
                                                                                            
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                | 135 |  |  |             return $root; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 136 |  |  |         } else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 137 |  |  |             return $math->sub($prime, $root); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 138 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 139 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 140 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 141 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 142 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::contains() | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 143 |  |  |      */ | 
            
                                                                        
                            
            
                                    
            
            
                | 144 |  |  |     public function contains(\GMP $x, \GMP $y): bool | 
            
                                                                        
                            
            
                                    
            
            
                | 145 |  |  |     { | 
            
                                                                        
                            
            
                                    
            
            
                | 146 |  |  |         $math = $this->adapter; | 
            
                                                                        
                            
            
                                    
            
            
                | 147 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 148 |  |  |         $eq_zero = $math->equals( | 
            
                                                                        
                            
            
                                    
            
            
                | 149 |  |  |             $this->modAdapter->sub( | 
            
                                                                        
                            
            
                                    
            
            
                | 150 |  |  |                 $math->pow($y, 2), | 
            
                                                                        
                            
            
                                    
            
            
                | 151 |  |  |                 $math->add( | 
            
                                                                        
                            
            
                                    
            
            
                | 152 |  |  |                     $math->add( | 
            
                                                                        
                            
            
                                    
            
            
                | 153 |  |  |                         $math->pow($x, 3), | 
            
                                                                        
                            
            
                                    
            
            
                | 154 |  |  |                         $math->mul($this->getA(), $x) | 
            
                                                                        
                            
            
                                    
            
            
                | 155 |  |  |                     ), | 
            
                                                                        
                            
            
                                    
            
            
                | 156 |  |  |                     $this->getB() | 
            
                                                                        
                            
            
                                    
            
            
                | 157 |  |  |                 ) | 
            
                                                                        
                            
            
                                    
            
            
                | 158 |  |  |             ), | 
            
                                                                        
                            
            
                                    
            
            
                | 159 |  |  |             gmp_init(0, 10) | 
                            
                    |  |  |  | 
                                                                                        
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                | 160 |  |  |         ); | 
            
                                                                        
                            
            
                                    
            
            
                | 161 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 162 |  |  |         return $eq_zero; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 163 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 164 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 165 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 166 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 167 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::getA() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 168 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 169 |  |  |     public function getA(): \GMP | 
            
                                                                                                            
                            
            
                                    
            
            
                | 170 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 171 |  |  |         return $this->parameters->getA(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 172 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 173 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 174 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 175 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 176 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::getB() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 177 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 178 |  |  |     public function getB(): \GMP | 
            
                                                                                                            
                            
            
                                    
            
            
                | 179 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 180 |  |  |         return $this->parameters->getB(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 181 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 182 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 183 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 184 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 185 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::getPrime() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 186 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 187 |  |  |     public function getPrime(): \GMP | 
            
                                                                                                            
                            
            
                                    
            
            
                | 188 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 189 |  |  |         return $this->parameters->getPrime(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 190 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 191 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 192 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 193 |  |  |      * @return int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 194 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 195 |  |  |     public function getSize(): int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 196 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 197 |  |  |         return $this->parameters->getSize(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 198 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 199 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 200 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 201 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 202 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::cmp() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 203 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 204 |  |  |     public function cmp(CurveFpInterface $other): int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 205 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 206 |  |  |         $math = $this->adapter; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 207 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 208 |  |  |         $equal  = $math->equals($this->getA(), $other->getA()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 209 |  |  |         $equal &= $math->equals($this->getB(), $other->getB()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 210 |  |  |         $equal &= $math->equals($this->getPrime(), $other->getPrime()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 211 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 212 |  |  |         return ($equal) ? 0 : 1; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 213 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 214 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 215 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 216 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 217 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::equals() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 218 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 219 |  |  |     public function equals(CurveFpInterface $other): bool | 
            
                                                                                                            
                            
            
                                    
            
            
                | 220 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 221 |  |  |         return $this->cmp($other) == 0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 222 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 223 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 224 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 225 |  |  |      * {@inheritDoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 226 |  |  |      * @see \Mdanter\Ecc\Primitives\CurveFpInterface::__toString() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 227 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 228 |  |  |     public function __toString(): string | 
            
                                                                                                            
                            
            
                                    
            
            
                | 229 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 230 |  |  |         return 'curve(' . $this->adapter->toString($this->getA()) . ', ' . $this->adapter->toString($this->getB()) . ', ' . $this->adapter->toString($this->getPrime()) . ')'; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 231 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 232 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 233 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 234 |  |  |      * @return array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 235 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 236 |  |  |     public function __debugInfo() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 237 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 238 |  |  |         return [ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 239 |  |  |             'a' => $this->adapter->toString($this->getA()), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 240 |  |  |             'b' => $this->adapter->toString($this->getB()), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 241 |  |  |             'prime' => $this->adapter->toString($this->getPrime()) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 242 |  |  |         ]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 243 |  |  |     } | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 244 |  |  | } | 
            
                                                        
            
                                    
            
            
                | 245 |  |  |  |