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                <?php  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                namespace drupol\phpermutations;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * Class Hilbert.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @package drupol\phpermutations  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class Hilbert { | 
            
                            
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                  var $hilbert_map = array(  | 
            
                            
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                    'a' => array(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "0, 0" => array(0, 'd'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "0, 1" => array(1, 'a'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "1, 0" => array(3, 'b'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "1, 1" => array(2, 'a'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    'b' => array(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "0, 0" => array(2, 'b'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "0, 1" => array(1, 'b'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "1, 0" => array(3, 'a'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "1, 1" => array(0, 'c'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    'c' => array(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "0, 0" => array(2, 'c'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "0, 1" => array(3, 'd'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "1, 0" => array(1, 'c'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "1, 1" => array(0, 'b'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    'd' => array(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "0, 0" => array(0, 'a'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "0, 1" => array(3, 'c'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "1, 0" => array(1, 'd'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      "1, 1" => array(2, 'd'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  var $rev_map = Array(  | 
            
                            
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                    'a' => Array(  | 
            
                            
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                      Array(3, 'd'),  | 
            
                            
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                      Array(1, 'a'),  | 
            
                            
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                      Array(0, 'a'),  | 
            
                            
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                      Array(2, 'c'),  | 
            
                            
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                    ),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    'b' => Array(  | 
            
                            
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                      Array(0, 'c'),  | 
            
                            
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                      Array(2, 'b'),  | 
            
                            
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                      Array(3, 'b'),  | 
            
                            
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                      Array(1, 'd'),  | 
            
                            
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                    ),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    'c' => Array(  | 
            
                            
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                      Array(0, 'b'),  | 
            
                            
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                      Array(1, 'c'),  | 
            
                            
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                      Array(3, 'c'),  | 
            
                            
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                      Array(2, 'a'),  | 
            
                            
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                    ),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    'd' => Array(  | 
            
                            
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                      Array(3, 'a'),  | 
            
                            
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                      Array(2, 'd'),  | 
            
                            
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                      Array(0, 'd'),  | 
            
                            
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                      Array(1, 'b'),  | 
            
                            
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                    ),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   * @var int  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  protected $recursion;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   * Hilbert constructor.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   * @param null $recursion  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  public function __construct($recursion = NULL) { | 
            
                            
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                    if (is_null($recursion)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      $recursion = 28;  | 
            
                            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    $this->setRecursion($recursion);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   * @param $recursion  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   * @return $this  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                   */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                  public function setRecursion($recursion) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                    $this->recursion = $recursion;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    return $this;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   * @return int  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  public function getRecursion() { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return $this->recursion;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                View Code Duplication | 
                  function point_to_hilbert($x, $y, $order = 16, $map = "hilbert_map_1", $mode = "hilbert") { | 
            
                            
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                    $current_square = 'a';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    $position = 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    foreach (range($order - 1, 0, -1) as $i) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      $position <<= 2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      $quad_x = $x & (1 << $i) ? 1 : 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      $quad_y = $y & (1 << $i) ? 1 : 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      list($quad_position, $current_square) = $this->{$map}[$current_square]["$quad_x, $quad_y"]; | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                      $position |= $quad_position;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return $position;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    114
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                View Code Duplication | 
                  function hilbert_to_point($hilbert, $order) { | 
            
                            
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                | 
                    115
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                    $current_square = "a";  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    116
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                    $amount = 1 << $order - 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    117
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                    $x = $y = 0;  | 
            
                            
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                    118
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                    for ($i = 2 * $order; $i > 0; $i -= 2) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    119
                 | 
                                    
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                      list ($position, $current_square) = $this->rev_map[$current_square][$hilbert >> $i - 2];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    120
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                      switch ($position) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    121
                 | 
                                    
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                        case 1:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    122
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                          $x += $amount;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    123
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                          break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    124
                 | 
                                    
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                        case 2:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    125
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                          $y += $amount;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    126
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                          break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    127
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                        case 3:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    128
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                          $y += $amount;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    129
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                          $x += $amount;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    130
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                          break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    131
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                        default:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    132
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                          break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    133
                 | 
                                    
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                      }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    134
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                      $amount /= 2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    135
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                      $hilbert &= (1 << ($i - 2)) - 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    136
                 | 
                                    
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    137
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                    return [$x, $y];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    138
                 | 
                                    
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                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    139
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                    140
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                    141
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                View Code Duplication | 
                  function xy2d($x, $y, $order = 16) { | 
            
                            
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                    142
                 | 
                                    
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                    $current_square = 'a';  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    143
                 | 
                                    
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                    $position = 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
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                | 
                    145
                 | 
                                    
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                 | 
                    foreach (range($order - 1, 0, -1) as $i) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
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                 | 
                      $position <<= 2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
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                 | 
                      $quad_x = $x & (1 << $i) ? 1 : 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
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                 | 
                      $quad_y = $y & (1 << $i) ? 1 : 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                      list($quad_position, $current_square) = $this->hilbert_map[$current_square]["$quad_x, $quad_y"];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    150
                 | 
                                    
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                 | 
                      $position |= $quad_position;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
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                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    152
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                    153
                 | 
                                    
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                 | 
                    return $position;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
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                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                  function d2xy($hilbert, $order = 16) { | 
            
                            
                    | 
                        
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                     | 
                    
                                                                                                                                                                                                                                                                
                        
                         
                                                                                        
                                                                                            
                                                                                            
                                                                                            
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
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                 | 
                    $current_square = "a";  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
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                 | 
                    $amount = 1 << $order - 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                    $x = $y = 0;  | 
            
                            
                    | 
                        
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                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                    for ($i = 2 * $order; $i > 0; $i -= 2) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                      list ($position, $current_square) = $this->rev_map[$current_square][$hilbert >> $i - 2];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                      switch ($position) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                        case 1:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                          $x += $amount;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                          break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                        case 2:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                          $y += $amount;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                          break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                        case 3:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                          $y += $amount;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                          $x += $amount;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                          break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                        default:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                          break;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                      }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                      $amount /= 2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                      $hilbert &= (1 << ($i - 2)) - 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                    return [$x, $y];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                  function test_pth() { | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                                                                                                                                
                        
                         
                                                                                        
                                                                                            
                                                                                            
                                                                                            
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                    foreach (range(7, 0, -1) as $x) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                      foreach (range(7, 0, -1) as $y) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                        $sort[] = $points["$x, $y"] = $this->point_to_hilbert($x, $y, 3);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                      }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                    array_multisort($points, $sort);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                    foreach ($points as $k => $v) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                      echo $k . "\n";  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                        
This check marks property names that have not been written in camelCase.
In camelCase names are written without any punctuation, the start of each new word being marked by a capital letter. Thus the name database connection string becomes
databaseConnectionString.