| 1 |  |  | <?php | 
            
                                                                                                            
                            
            
                                    
            
            
                | 2 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 3 |  |  | namespace drupol\phpermutations\Iterators; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 4 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 5 |  |  | use drupol\phpermutations\Combinatorics; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 6 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 7 |  |  | /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 8 |  |  |  * Class FiniteGroup. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 9 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 10 |  |  |  * The finite group is an abelian finite cyclic group. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 11 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 12 |  |  |  * @package drupol\phpermutations\Iterators | 
            
                                                                                                            
                            
            
                                    
            
            
                | 13 |  |  |  */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 14 |  |  | class FiniteGroup extends Combinatorics implements \Iterator, \Countable { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 15 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 16 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 17 |  |  |    * The group size. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 18 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 19 |  |  |    * @var int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 20 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 21 |  |  |   protected $size; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 22 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 23 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 24 |  |  |    * The group. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 25 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 26 |  |  |    * @var int[] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 27 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 28 |  |  |   protected $group; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 29 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 30 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 31 |  |  |    * The key. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 32 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 33 |  |  |    * @var int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 34 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 35 |  |  |   protected $key; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 36 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 37 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 38 |  |  |    * {@inheritdoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 39 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 40 | 2 |  |   public function current() { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 41 | 2 |  |     return current($this->group); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 42 |  |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 43 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 44 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 45 |  |  |    * {@inheritdoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 46 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 47 | 2 |  |   public function next() { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 48 | 2 |  |     $this->key++; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 49 | 2 |  |     next($this->group); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 50 | 2 |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 51 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 52 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 53 |  |  |    * {@inheritdoc} | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 54 |  |  |    */ | 
            
                                                                        
                            
            
                                    
            
            
                | 55 | 2 |  |   public function key() { | 
            
                                                                        
                            
            
                                    
            
            
                | 56 | 2 |  |     return $this->key; | 
            
                                                                        
                            
            
                                    
            
            
                | 57 |  |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 58 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 59 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 60 |  |  |    * {@inheritdoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 61 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 62 | 2 |  |   public function valid() { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 63 | 2 |  |     return isset($this->group[$this->key()]); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 64 |  |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 65 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 66 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 67 |  |  |    * {@inheritdoc} | 
            
                                                                                                            
                            
            
                                    
            
            
                | 68 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 69 | 2 |  |   public function rewind() { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 70 | 2 |  |     $this->key = 0; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 71 | 2 |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 72 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 73 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 74 |  |  |    * Count elements of an object. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 75 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 76 |  |  |    * @return int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 77 |  |  |    *   The number of element. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 78 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 79 | 2 |  |   public function count() { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 80 | 2 |  |     return count($this->group); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 81 |  |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 82 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 83 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 84 |  |  |    * Convert the iterator into an array. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 85 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 86 |  |  |    * @return array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 87 |  |  |    *   The elements. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 88 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 89 | 2 |  |   public function toArray() { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 90 | 2 |  |     $data = array(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 91 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 92 | 2 |  |     for ($this->rewind(); $this->valid(); $this->next()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 93 | 2 |  |       $data[] = $this->current(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 94 | 2 |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 95 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 96 | 2 |  |     return $data; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 97 |  |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 98 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 99 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 100 |  |  |    * Set the group size. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 101 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 102 |  |  |    * @param int $size | 
            
                                                                                                            
                            
            
                                    
            
            
                | 103 |  |  |    *   The size. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 104 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 105 | 2 |  |   public function setSize($size) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 106 | 2 |  |     $this->size = $size; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 107 | 2 |  |     $this->computeGroup(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 108 | 2 |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 109 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 110 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 111 |  |  |    * Get the group size. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 112 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 113 |  |  |    * @return int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 114 |  |  |    *   The size. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 115 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 116 | 2 |  |   public function getSize() { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 117 | 2 |  |     return intval($this->size); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 118 |  |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 119 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 120 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 121 |  |  |    * Clean out the group from unwanted values. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 122 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 123 | 2 |  |   private function computeGroup() { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 124 | 2 |  |     $this->group = array(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 125 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 126 | 2 |  |     foreach (range(1, $this->getSize() - 1) as $key => $number) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 127 | 2 |  |       if ($this->gcd($number, $this->getSize() - 1) == 1) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 128 | 2 |  |         $this->group[] = $number; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 129 | 2 |  |       } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 130 | 2 |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 131 | 2 |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 132 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 133 |  |  |   /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 134 |  |  |    * Get the greater common divisor between two numbers. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 135 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 136 |  |  |    * @param int $a | 
            
                                                                                                            
                            
            
                                    
            
            
                | 137 |  |  |    *   The first number. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 138 |  |  |    * @param int $b | 
            
                                                                                                            
                            
            
                                    
            
            
                | 139 |  |  |    *   The second number. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 140 |  |  |    * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 141 |  |  |    * @return int | 
            
                                                                                                            
                            
            
                                    
            
            
                | 142 |  |  |    *   The greater common divisor between $a and $b. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 143 |  |  |    */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 144 | 2 |  |   private function gcd($a, $b) { | 
                            
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                | 145 | 2 |  |     return $b ? $this->gcd($b, $a % $b) : $a; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 146 |  |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 147 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 148 |  |  |   public function order($generator) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 149 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 150 |  |  |     //foreach($this->) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 151 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 152 |  |  |   } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 153 |  |  |  | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 154 |  |  | } | 
            
                                                        
            
                                    
            
            
                | 155 |  |  |  | 
            
                        
Short variable names may make your code harder to understand. Variable names should be self-descriptive. This check looks for variable names who are shorter than a configured minimum.