| 1 |  |  | <?php | 
            
                                                                                                            
                            
            
                                    
            
            
                | 2 |  |  | declare(strict_types=1); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 3 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 4 |  |  | namespace Ctefan\Kiwi; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 5 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 6 |  |  | use Ctefan\Kiwi\Exception\NonlinearExpressionException; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 7 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 8 |  |  | class Symbolics | 
            
                                                                                                            
                            
            
                                    
            
            
                | 9 |  |  | { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 10 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 11 |  |  |      * Symbolics constructor. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 12 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 13 |  |  |     protected function __construct() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 14 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 15 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 16 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 17 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 18 |  |  |      * @param mixed $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 19 |  |  |      * @param mixed $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 20 |  |  |      * @return mixed | 
            
                                                                                                            
                            
            
                                    
            
            
                | 21 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 22 | 1 |  |     static public function multiply($a, $b) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 23 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 24 | 1 |  |         return self::_callMethodForArguments($a, $b, 'multiply%sWith%s'); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 25 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 26 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 27 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 28 |  |  |      * @param mixed $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 29 |  |  |      * @param mixed $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 30 |  |  |      * @return mixed | 
            
                                                                                                            
                            
            
                                    
            
            
                | 31 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 32 |  |  |     static public function divide($a, $b) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 33 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 34 |  |  |         return self::_callMethodForArguments($a, $b, 'divide%2$sBy$1$s'); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 35 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 36 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 37 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 38 |  |  |      * @param mixed $subject | 
            
                                                                                                            
                            
            
                                    
            
            
                | 39 |  |  |      * @return mixed | 
            
                                                                                                            
                            
            
                                    
            
            
                | 40 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 41 |  |  |     static public function negate($subject) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 42 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 43 |  |  |         return self::_callMethodForArguments($subject, null, 'negate%s'); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 44 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 45 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 46 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 47 |  |  |      * @param mixed $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 48 |  |  |      * @param mixed $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 49 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 50 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 51 | 3 |  |     static public function add($a, $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 52 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 53 | 3 |  |         return self::_callMethodForArguments($a, $b, 'add%2$sTo%1$s'); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 54 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 55 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 56 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 57 |  |  |      * @param mixed $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 58 |  |  |      * @param mixed $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 59 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 60 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 61 |  |  |     static public function subtract($a, $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 62 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 63 |  |  |         return self::_callMethodForArguments($a, $b, 'subtract$2$sFrom%1$s'); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 64 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 65 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 66 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 67 |  |  |      * @param mixed $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 68 |  |  |      * @param mixed $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 69 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 70 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 71 | 18 |  |     static public function equals($a, $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 72 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 73 | 18 |  |         return self::_callMethodForArguments($a, $b, 'equals%s%s'); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 74 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 75 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 76 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 77 |  |  |      * @param mixed $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 78 |  |  |      * @param mixed $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 79 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 80 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 81 | 11 |  |     static public function lessThanOrEquals($a, $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 82 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 83 | 11 |  |         return self::_callMethodForArguments($a, $b, 'lessThanOrEquals%s%s'); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 84 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 85 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 86 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 87 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 88 |  |  |      * @param mixed $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 89 |  |  |      * @param mixed $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 90 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 91 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 92 | 8 |  |     static public function greaterThanOrEquals($a, $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 93 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 94 | 8 |  |         return self::_callMethodForArguments($a, $b, 'greaterThanOrEquals%s%s'); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 95 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 96 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 97 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 98 |  |  |      * @var array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 99 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 100 |  |  |     static private $names = [ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 101 |  |  |         Expression::class => 'Expression', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 102 |  |  |         Term::class => 'Term', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 103 |  |  |         Variable::class => 'Variable', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 104 |  |  |         'double' => 'Constant', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 105 |  |  |         'integer' => 'Constant', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 106 |  |  |         'NULL' => '', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 107 |  |  |     ]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 108 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 109 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 110 |  |  |      * @param mixed $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 111 |  |  |      * @param mixed $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 112 |  |  |      * @param string $format | 
            
                                                                                                            
                            
            
                                    
            
            
                | 113 |  |  |      * @return mixed | 
            
                                                                                                            
                            
            
                                    
            
            
                | 114 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 115 | 21 |  |     static private function _callMethodForArguments($a, $b, string $format) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 116 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 117 |  |  |         // TODO check for invalid argument types | 
            
                                                                                                            
                            
            
                                    
            
            
                | 118 | 21 |  |         $methodName = sprintf( | 
            
                                                                                                            
                            
            
                                    
            
            
                | 119 | 21 |  |             $format, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 120 | 21 |  |             self::$names[is_object($a) ? get_class($a) : gettype($a)], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 121 | 21 |  |             self::$names[is_object($b) ? get_class($b) : gettype($b)] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 122 |  |  |         ); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 123 | 21 |  |         if (false === method_exists(self::class, $methodName)) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 124 |  |  |             throw new \InvalidArgumentException("Method $methodName does not exist."); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 125 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 126 | 21 |  |         return self::$methodName($a, $b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 127 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 128 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 129 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 130 |  |  |     /* | 
            
                                                                                                            
                            
            
                                    
            
            
                | 131 |  |  |      * Term factory methods. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 132 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 133 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 134 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 135 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 136 |  |  |      * @param float $coefficient | 
            
                                                                                                            
                            
            
                                    
            
            
                | 137 |  |  |      * @return Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 138 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 139 | 1 |  |     static public function multiplyVariableWithConstant(Variable $variable, float $coefficient): Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 140 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 141 | 1 |  |         return new Term($variable, $coefficient); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 142 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 143 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 144 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 145 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 146 |  |  |      * @param float $denominator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 147 |  |  |      * @return Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 148 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 149 |  |  |     static public function divideVariableByConstant(Variable $variable, float $denominator): Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 150 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 151 |  |  |         return self::multiplyVariableWithConstant($variable, 1.0 / $denominator); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 152 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 153 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 154 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 155 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 156 |  |  |      * @return Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 157 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 158 |  |  |     static public function negateVariable(Variable $variable): Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 159 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 160 |  |  |         return self::multiply($variable, -1.0); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 161 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 162 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 163 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 164 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 165 |  |  |      * @param float $coefficient | 
            
                                                                                                            
                            
            
                                    
            
            
                | 166 |  |  |      * @return Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 167 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 168 | 13 |  |     static public function multiplyTermWithConstant(Term $term, float $coefficient): Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 169 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 170 | 13 |  |         return new Term($term->getVariable(), $term->getCoefficient() * $coefficient); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 171 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 172 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 173 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 174 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 175 |  |  |      * @param float $denominator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 176 |  |  |      * @return Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 177 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 178 |  |  |     static public function divideTermByConstant(Term $term, float $denominator): Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 179 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 180 |  |  |         return self::multiplyTermWithConstant($term, 1.0 / $denominator); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 181 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 182 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 183 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 184 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 185 |  |  |      * @return Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 186 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 187 |  |  |     static public function negateTerm(Term $term): Term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 188 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 189 |  |  |         return self::multiplyTermWithConstant($term, -1.0); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 190 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 191 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 192 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 193 |  |  |     /* | 
            
                                                                                                            
                            
            
                                    
            
            
                | 194 |  |  |      * Expression factory methods. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 195 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 196 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 197 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 198 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 199 |  |  |      * @param float $coefficient | 
            
                                                                                                            
                            
            
                                    
            
            
                | 200 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 201 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 202 | 21 |  |     static public function multiplyExpressionWithConstant(Expression $expression, float $coefficient): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 203 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 204 | 21 |  |         $terms = []; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 205 | 21 |  |         foreach ($expression->getTerms() as $term) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 206 | 13 |  |             $terms[] = self::multiplyTermWithConstant($term, $coefficient); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 207 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 208 | 21 |  |         return new Expression($terms, $expression->getConstant() * $coefficient); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 209 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 210 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 211 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 212 |  |  |      * @param Expression $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 213 |  |  |      * @param Expression $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 214 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 215 |  |  |      * @throws NonlinearExpressionException | 
            
                                                                                                            
                            
            
                                    
            
            
                | 216 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 217 |  |  |     static public function multiplyExpressionWithExpression(Expression $a, Expression $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 218 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 219 |  |  |         if (true === $a->isConstant()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 220 |  |  |             return self::multiplyExpressionWithConstant($b, $a->getConstant()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 221 |  |  |         } elseif (true === $b->isConstant()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 222 |  |  |             return self::multiplyExpressionWithConstant($a, $b->getConstant()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 223 |  |  |         } else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 224 |  |  |             throw new NonlinearExpressionException(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 225 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 226 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 227 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 228 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 229 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 230 |  |  |      * @param float $denominator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 231 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 232 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 233 |  |  |     static public function divideExpressioByConstant(Expression $expression, float $denominator): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 234 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 235 |  |  |         return self::multiplyExpressionWithConstant($expression, 1.0 / $denominator); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 236 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 237 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 238 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 239 |  |  |      * @param Expression $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 240 |  |  |      * @param Expression $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 241 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 242 |  |  |      * @throws NonlinearExpressionException | 
            
                                                                                                            
                            
            
                                    
            
            
                | 243 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 244 |  |  |     static public function divideExpressionByExpression(Expression $a, Expression $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 245 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 246 |  |  |         if (true === $b->isConstant()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 247 |  |  |             return self::divideExpressioByConstant($a, $b->getConstant()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 248 |  |  |         } else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 249 |  |  |             throw new NonlinearExpressionException(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 250 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 251 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 252 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 253 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 254 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 255 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 256 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 257 | 21 |  |     static public function negateExpression(Expression $expression): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 258 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 259 | 21 |  |         return self::multiplyExpressionWithConstant($expression, -1.0); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 260 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 261 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 262 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 263 |  |  |      * @param Expression $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 264 |  |  |      * @param Expression $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 265 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 266 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 267 | 21 |  |     static public function addExpressionToExpression(Expression $a, Expression $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 268 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 269 | 21 |  |         $terms = array_merge($a->getTerms(), $b->getTerms()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 270 | 21 |  |         return new Expression($terms, $a->getConstant() + $b->getConstant()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 271 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 272 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 273 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 274 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 275 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 276 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 277 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 278 |  |  |     static public function addTermToExpression(Expression $expression, Term $term): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 279 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 280 |  |  |         $terms = $expression->getTerms(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 281 |  |  |         $terms[] = $term; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 282 |  |  |         return new Expression($terms, $expression->getConstant()); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 283 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 284 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 285 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 286 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 287 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 288 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 289 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 290 |  |  |     static public function addVariableToExpression(Expression $expression, Variable $variable): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 291 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 292 |  |  |         return self::addTermToExpression($expression, new Term($variable)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 293 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 294 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 295 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 296 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 297 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 298 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 299 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 300 |  |  |     static public function addConstantToExpression(Expression $expression, float $constant): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 301 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 302 |  |  |         return new Expression($expression->getTerms(), $expression->getConstant() + $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 303 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 304 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 305 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 306 |  |  |      * @param Expression $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 307 |  |  |      * @param Expression $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 308 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 309 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 310 | 21 |  |     static public function subtractExpressionFromExpression(Expression $a, Expression $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 311 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 312 | 21 |  |         return self::addExpressionToExpression($a, self::negateExpression($b)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 313 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 314 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 315 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 316 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 317 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 318 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 319 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 320 |  |  |     static public function subtractTermFromExpression(Expression $expression, Term $term): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 321 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 322 |  |  |         return self::addTermToExpression($expression, self::negateTerm($term)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 323 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 324 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 325 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 326 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 327 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 328 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 329 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 330 |  |  |     static public function subtractVariableFromExpression(Expression $expression, Variable $variable): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 331 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 332 |  |  |         return self::addTermToExpression($expression, self::negateVariable($variable)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 333 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 334 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 335 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 336 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 337 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 338 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 339 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 340 |  |  |     static public function subtractConstantFromExpression(Expression $expression, float $constant): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 341 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 342 |  |  |         return self::addConstantToExpression($expression, -$constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 343 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 344 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 345 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 346 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 347 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 348 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 349 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 350 |  |  |     static public function addExpressionToTerm(Term $term, Expression $expression): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 351 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 352 |  |  |         return self::addTermToExpression($expression, $term); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 353 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 354 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 355 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 356 |  |  |      * @param Term $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 357 |  |  |      * @param Term $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 358 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 359 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 360 |  |  |     static public function addTermToTerm(Term $a, Term $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 361 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 362 |  |  |         $terms = [$a, $b]; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 363 |  |  |         return new Expression($terms); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 364 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 365 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 366 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 367 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 368 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 369 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 370 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 371 |  |  |     static public function addVariableToTerm(Term $term, Variable $variable): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 372 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 373 |  |  |         return self::addTermToTerm($term, new Term($variable)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 374 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 375 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 376 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 377 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 378 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 379 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 380 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 381 | 3 |  |     static public function addConstantToTerm(Term $term, float $constant): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 382 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 383 | 3 |  |         return new Expression([$term], $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 384 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 385 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 386 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 387 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 388 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 389 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 390 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 391 |  |  |     static public function subtractExpressionFromTerm(Term $term, Expression $expression): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 392 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 393 |  |  |         return self::addTermToExpression(self::negateExpression($expression), $term); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 394 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 395 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 396 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 397 |  |  |      * @param Term $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 398 |  |  |      * @param Term $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 399 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 400 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 401 |  |  |     static public function subtractTermFromTerm(Term $a, Term $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 402 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 403 |  |  |         return self::addTermToTerm($a, self::negateTerm($b)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 404 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 405 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 406 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 407 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 408 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 409 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 410 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 411 |  |  |     static public function subtractVariableFromTerm(Term $term, Variable $variable): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 412 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 413 |  |  |         return self::addTermToTerm($term, self::negateVariable($variable)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 414 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 415 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 416 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 417 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 418 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 419 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 420 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 421 |  |  |     static public function subtractConstantFromTerm(Term $term, float $constant): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 422 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 423 |  |  |         return self::addConstantToTerm($term, -$constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 424 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 425 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 426 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 427 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 428 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 429 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 430 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 431 |  |  |     static public function addExpressionToVariable(Variable $variable, Expression $expression): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 432 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 433 |  |  |         return self::addVariableToExpression($expression, $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 434 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 435 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 436 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 437 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 438 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 439 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 440 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 441 |  |  |     static public function addTermToVariable(Variable $variable, Term $term): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 442 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 443 |  |  |         return self::addVariableToTerm($term, $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 444 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 445 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 446 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 447 |  |  |      * @param Variable $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 448 |  |  |      * @param Variable $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 449 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 450 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 451 |  |  |     static public function addVariableToVariable(Variable $a, Variable $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 452 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 453 |  |  |         return self::addVariableToTerm(new Term($a), $b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 454 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 455 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 456 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 457 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 458 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 459 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 460 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 461 | 3 |  |     static public function addConstantToVariable(Variable $variable, float $constant): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 462 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 463 | 3 |  |         return self::addConstantToTerm(new Term($variable), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 464 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 465 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 466 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 467 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 468 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 469 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 470 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 471 |  |  |     static public function subtractExpressionFromVariable(Variable $variable, Expression $expression): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 472 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 473 |  |  |         return self::addExpressionToVariable($variable, self::negateExpression($expression)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 474 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 475 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 476 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 477 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 478 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 479 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 480 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 481 |  |  |     static public function subtractTermFromVariable(Variable $variable, Term $term): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 482 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 483 |  |  |         return self::addTermToVariable($variable, self::negateTerm($term)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 484 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 485 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 486 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 487 |  |  |      * @param Variable $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 488 |  |  |      * @param Variable $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 489 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 490 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 491 |  |  |     static public function subtractVariableFromVariable(Variable $a, Variable $b): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 492 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 493 |  |  |         return self::addTermToVariable($a, self::negateVariable($b)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 494 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 495 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 496 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 497 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 498 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 499 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 500 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 501 |  |  |     static public function subtractConstantFromVariable(Variable $variable, float $constant): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 502 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 503 |  |  |         return self::addConstantToVariable($variable, -$constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 504 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 505 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 506 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 507 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 508 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 509 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 510 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 511 |  |  |     static public function addExpressionToConstant(float $constant, Expression $expression): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 512 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 513 |  |  |         return self::addConstantToExpression($expression, $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 514 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 515 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 516 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 517 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 518 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 519 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 520 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 521 |  |  |     static public function addTermToConstant(float $constant, Term $term): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 522 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 523 |  |  |         return self::addConstantToTerm($term, $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 524 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 525 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 526 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 527 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 528 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 529 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 530 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 531 |  |  |     static public function addVariableToConstant(float $constant, Variable $variable): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 532 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 533 |  |  |         return self::addConstantToVariable($variable, $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 534 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 535 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 536 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 537 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 538 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 539 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 540 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 541 |  |  |     static public function subtractExpressionFromConstant(float $constant, Expression $expression): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 542 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 543 |  |  |         return self::addConstantToExpression(self::negateExpression($expression), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 544 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 545 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 546 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 547 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 548 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 549 |  |  |      * @return Expression | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 550 |  |  |      */ | 
            
                                                                        
                            
            
                                    
            
            
                | 551 |  |  |     static public function subtractTermFromConstant(float $constant, Term $term): Expression | 
            
                                                                        
                            
            
                                    
            
            
                | 552 |  |  |     { | 
            
                                                                        
                            
            
                                    
            
            
                | 553 |  |  |         return self::addConstantToTerm(self::negateTerm($term), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 554 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 555 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 556 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 557 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 558 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 559 |  |  |      * @return Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 560 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 561 |  |  |     static public function subtractVariableFromConstant(float $constant, Variable $variable): Expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 562 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 563 |  |  |         return self::addConstantToTerm(self::negateVariable($variable), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 564 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 565 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 566 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 567 |  |  |     /* | 
            
                                                                                                            
                            
            
                                    
            
            
                | 568 |  |  |      * Constraint factory methods. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 569 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 570 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 571 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 572 |  |  |      * @param Expression $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 573 |  |  |      * @param Expression $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 574 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 575 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 576 | 18 |  |     static public function equalsExpressionExpression(Expression $a, Expression $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 577 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 578 | 18 |  |         return new Constraint(self::subtractExpressionFromExpression($a, $b), RelationalOperator::EQ); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 579 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 580 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 581 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 582 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 583 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 584 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 585 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 586 | 3 |  |     static public function equalsExpressionTerm(Expression $expression, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 587 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 588 | 3 |  |         return self::equalsExpressionExpression($expression, Expression::createFromTerm($term)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 589 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 590 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 591 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 592 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 593 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 594 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 595 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 596 | 3 |  |     static public function equalsExpressionVariable(Expression $expression, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 597 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 598 | 3 |  |         return self::equalsExpressionTerm($expression, new Term($variable)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 599 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 600 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 601 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 602 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 603 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 604 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 605 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 606 | 17 |  |     static public function equalsExpressionConstant(Expression $expression, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 607 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 608 | 17 |  |         return self::equalsExpressionExpression($expression, new Expression([], $constant)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 609 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 610 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 611 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 612 |  |  |      * @param Expression $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 613 |  |  |      * @param Expression $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 614 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 615 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 616 | 11 |  |     static public function lessThanOrEqualsExpressionExpression(Expression $a, Expression $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 617 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 618 | 11 |  |         return new Constraint(self::subtractExpressionFromExpression($a, $b), RelationalOperator::LE); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 619 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 620 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 621 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 622 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 623 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 624 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 625 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 626 | 5 |  |     static public function lessThanOrEqualsExpressionTerm(Expression $expression, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 627 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 628 | 5 |  |         return self::lessThanOrEqualsExpressionExpression($expression, Expression::createFromTerm($term)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 629 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 630 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 631 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 632 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 633 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 634 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 635 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 636 | 5 |  |     static public function lessThanOrEqualsExpressionVariable(Expression $expression, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 637 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 638 | 5 |  |         return self::lessThanOrEqualsExpressionTerm($expression, new Term($variable)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 639 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 640 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 641 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 642 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 643 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 644 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 645 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 646 | 6 |  |     static public function lessThanOrEqualsExpressionConstant(Expression $expression, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 647 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 648 | 6 |  |         return self::lessThanOrEqualsExpressionExpression($expression, new Expression([], $constant)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 649 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 650 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 651 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 652 |  |  |      * @param Expression $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 653 |  |  |      * @param Expression $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 654 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 655 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 656 | 8 |  |     static public function greaterThanOrEqualsExpressionExpression(Expression $a, Expression $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 657 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 658 | 8 |  |         return new Constraint(self::subtractExpressionFromExpression($a, $b), RelationalOperator::GE); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 659 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 660 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 661 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 662 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 663 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 664 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 665 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 666 | 5 |  |     static public function greaterThanOrEqualsExpressionTerm(Expression $expression, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 667 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 668 | 5 |  |         return self::greaterThanOrEqualsExpressionExpression($expression, Expression::createFromTerm($term)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 669 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 670 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 671 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 672 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 673 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 674 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 675 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 676 | 5 |  |     static public function greaterThanOrEqualsExpressionVariable(Expression $expression, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 677 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 678 | 5 |  |         return self::greaterThanOrEqualsExpressionTerm($expression, new Term($variable)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 679 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 680 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 681 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 682 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 683 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 684 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 685 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 686 | 4 |  |     static public function greaterThanOrEqualsExpressionConstant(Expression $expression, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 687 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 688 | 4 |  |         return self::greaterThanOrEqualsExpressionExpression($expression, new Expression([], $constant)); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 689 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 690 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 691 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 692 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 693 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 694 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 695 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 696 |  |  |     static public function equalsTermExpression(Term $term, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 697 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 698 |  |  |         return self::equalsExpressionExpression(Expression::createFromTerm($term), $expression); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 699 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 700 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 701 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 702 |  |  |      * @param Term $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 703 |  |  |      * @param Term $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 704 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 705 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 706 |  |  |     static public function equalsTermTerm(Term $a, Term $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 707 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 708 |  |  |         return self::equalsExpressionTerm(Expression::createFromTerm($a), $b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 709 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 710 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 711 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 712 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 713 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 714 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 715 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 716 | 2 |  |     static public function equalsTermVariable(Term $term, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 717 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 718 | 2 |  |         return self::equalsExpressionVariable(Expression::createFromTerm($term), $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 719 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 720 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 721 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 722 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 723 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 724 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 725 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 726 | 16 |  |     static public function equalsTermConstant(Term $term, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 727 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 728 | 16 |  |         return self::equalsExpressionConstant(Expression::createFromTerm($term), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 729 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 730 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 731 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 732 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 733 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 734 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 735 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 736 |  |  |     static public function lessThanOrEqualsTermExpression(Term $term, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 737 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 738 |  |  |         return self::lessThanOrEqualsExpressionExpression(Expression::createFromTerm($term), $expression); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 739 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 740 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 741 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 742 |  |  |      * @param Term $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 743 |  |  |      * @param Term $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 744 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 745 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 746 |  |  |     static public function lessThanOrEqualsTermTerm(Term $a, Term $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 747 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 748 |  |  |         return self::lessThanOrEqualsExpressionTerm(Expression::createFromTerm($a), $b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 749 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 750 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 751 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 752 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 753 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 754 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 755 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 756 | 1 |  |     static public function lessThanOrEqualsTermVariable(Term $term, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 757 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 758 | 1 |  |         return self::lessThanOrEqualsExpressionVariable(Expression::createFromTerm($term), $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 759 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 760 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 761 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 762 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 763 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 764 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 765 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 766 | 6 |  |     static public function lessThanOrEqualsTermConstant(Term $term, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 767 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 768 | 6 |  |         return self::lessThanOrEqualsExpressionConstant(Expression::createFromTerm($term), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 769 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 770 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 771 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 772 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 773 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 774 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 775 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 776 |  |  |     static public function greaterThanOrEqualsTermExpression(Term $term, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 777 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 778 |  |  |         return self::greaterThanOrEqualsExpressionExpression(Expression::createFromTerm($term), $expression); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 779 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 780 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 781 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 782 |  |  |      * @param Term $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 783 |  |  |      * @param Term $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 784 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 785 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 786 |  |  |     static public function greaterThanOrEqualsTermTerm(Term $a, Term $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 787 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 788 |  |  |         return self::greaterThanOrEqualsExpressionTerm(Expression::createFromTerm($a), $b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 789 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 790 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 791 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 792 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 793 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 794 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 795 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 796 | 1 |  |     static public function greaterThanOrEqualsTermVariable(Term $term, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 797 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 798 | 1 |  |         return self::greaterThanOrEqualsExpressionVariable(Expression::createFromTerm($term), $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 799 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 800 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 801 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 802 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 803 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 804 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 805 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 806 | 4 |  |     static public function greaterThanOrEqualsTermConstant(Term $term, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 807 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 808 | 4 |  |         return self::greaterThanOrEqualsExpressionConstant(Expression::createFromTerm($term), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 809 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 810 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 811 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 812 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 813 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 814 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 815 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 816 | 1 |  |     static public function equalsVariableExpression(Variable $variable, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 817 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 818 | 1 |  |         return self::equalsExpressionVariable($expression, $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 819 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 820 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 821 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 822 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 823 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 824 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 825 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 826 |  |  |     static public function equalsVariableTerm(Variable $variable, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 827 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 828 |  |  |         return self::equalsTermVariable($term, $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 829 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 830 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 831 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 832 |  |  |      * @param Variable $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 833 |  |  |      * @param Variable $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 834 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 835 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 836 | 1 |  |     static public function equalsVariableVariable(Variable $a, Variable $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 837 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 838 | 1 |  |         return self::equalsTermVariable(new Term($a), $b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 839 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 840 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 841 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 842 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 843 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 844 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 845 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 846 | 16 |  |     static public function equalsVariableConstant(Variable $variable, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 847 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 848 | 16 |  |         return self::equalsTermConstant(new Term($variable), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 849 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 850 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 851 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 852 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 853 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 854 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 855 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 856 |  |  |     static public function lessThanOrEqualsVariableExpression(Variable $variable, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 857 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 858 |  |  |         return self::lessThanOrEqualsTermExpression(new Term($variable), $expression); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 859 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 860 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 861 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 862 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 863 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 864 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 865 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 866 |  |  |     static public function lessThanOrEqualsVariableTerm(Variable $variable, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 867 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 868 |  |  |         return self::lessThanOrEqualsTermTerm(new Term($variable), $term); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 869 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 870 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 871 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 872 |  |  |      * @param Variable $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 873 |  |  |      * @param Variable $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 874 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 875 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 876 | 1 |  |     static public function lessThanOrEqualsVariableVariable(Variable $a, Variable $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 877 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 878 | 1 |  |         return self::lessThanOrEqualsTermVariable(new Term($a), $b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 879 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 880 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 881 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 882 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 883 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 884 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 885 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 886 | 6 |  |     static public function lessThanOrEqualsVariableConstant(Variable $variable, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 887 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 888 | 6 |  |         return self::lessThanOrEqualsTermConstant(new Term($variable), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 889 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 890 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 891 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 892 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 893 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 894 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 895 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 896 |  |  |     static public function greaterThanOrEqualsVariableExpression(Variable $variable, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 897 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 898 |  |  |         return self::greaterThanOrEqualsTermExpression(new Term($variable), $expression); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 899 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 900 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 901 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 902 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 903 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 904 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 905 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 906 |  |  |     static public function greaterThanOrEqualsVariabeTerm(Variable $variable, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 907 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 908 |  |  |         return self::greaterThanOrEqualsTermTerm(new Term($variable), $term); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 909 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 910 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 911 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 912 |  |  |      * @param Variable $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 913 |  |  |      * @param Variable $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 914 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 915 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 916 | 1 |  |     static public function greaterThanOrEqualsVariableVariable(Variable $a, Variable $b): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 917 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 918 | 1 |  |         return self::greaterThanOrEqualsTermVariable(new Term($a), $b); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 919 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 920 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 921 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 922 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 923 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 924 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 925 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 926 | 4 |  |     static public function greaterThanOrEqualsVariableConstant(Variable $variable, float $constant): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 927 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 928 | 4 |  |         return self::greaterThanOrEqualsTermConstant(new Term($variable), $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 929 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 930 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 931 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 932 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 933 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 934 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 935 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 936 |  |  |     static public function equalsConstantExpression(float $constant, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 937 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 938 |  |  |         return self::equalsExpressionConstant($expression, $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 939 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 940 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 941 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 942 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 943 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 944 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 945 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 946 |  |  |     static public function equalsConstantTerm(float $constant, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 947 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 948 |  |  |         return self::equalsTermConstant($term, $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 949 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 950 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 951 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 952 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 953 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 954 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 955 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 956 |  |  |     static public function equalsConstantVariable(float $constant, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 957 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 958 |  |  |         return self::equalsVariableConstant($variable, $constant); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 959 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 960 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 961 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 962 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 963 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 964 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 965 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 966 |  |  |     static public function lessThanOrEqualsConstantExpression(float $constant, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 967 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 968 |  |  |         return self::lessThanOrEqualsExpressionExpression(new Expression([], $constant), $expression); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 969 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 970 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 971 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 972 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 973 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 974 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 975 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 976 |  |  |     static public function lessThanOrEqualsConstantTerm(float $constant, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 977 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 978 |  |  |         return self::lessThanOrEqualsExpressionTerm(new Expression([], $constant), $term); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 979 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 980 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 981 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 982 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 983 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 984 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 985 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 986 | 2 |  |     static public function lessThanOrEqualsConstantVariable(float $constant, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 987 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 988 | 2 |  |         return self::lessThanOrEqualsExpressionVariable(new Expression([], $constant), $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 989 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 990 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 991 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 992 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 993 |  |  |      * @param Expression $expression | 
            
                                                                                                            
                            
            
                                    
            
            
                | 994 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 995 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 996 |  |  |     static public function greaterThanOrEqualsConstantExpression(float $constant, Expression $expression): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 997 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 998 |  |  |         return self::greaterThanOrEqualsExpressionExpression(new Expression([], $constant), $expression); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 999 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1000 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1001 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1002 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1003 |  |  |      * @param Term $term | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1004 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1005 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1006 |  |  |     static public function greaterThanOrEqualsConstantTerm(float $constant, Term $term): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1007 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1008 |  |  |         return self::greaterThanOrEqualsExpressionTerm(new Expression([], $constant), $term); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1009 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1010 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1011 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1012 |  |  |      * @param float $constant | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1013 |  |  |      * @param Variable $variable | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1014 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1015 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1016 | 2 |  |     static public function greaterThanOrEqualsConstantVariable(float $constant, Variable $variable): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1017 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1018 | 2 |  |         return self::greaterThanOrEqualsExpressionVariable(new Expression([], $constant), $variable); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1019 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1020 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1021 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1022 |  |  |      * @param Constraint $constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1023 |  |  |      * @param float $strength | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1024 |  |  |      * @return Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1025 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1026 |  |  |     static public function modifyStrength(Constraint $constraint, float $strength): Constraint | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1027 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1028 |  |  |         return Constraint::createFromConstraint($constraint, $strength); | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 1029 |  |  |     } | 
            
                                                        
            
                                    
            
            
                | 1030 |  |  | } |