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                <?php  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                declare(strict_types=1);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @copyright Copyright (c) 2023, Matias De lellis  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @author Matias De lellis <[email protected]>  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @license AGPL-3.0-or-later  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * This code is free software: you can redistribute it and/or modify  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * it under the terms of the GNU Affero General Public License, version 3,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * as published by the Free Software Foundation.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * This program is distributed in the hope that it will be useful,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * but WITHOUT ANY WARRANTY; without even the implied warranty of  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * GNU Affero General Public License for more details.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * You should have received a copy of the GNU Affero General Public License, version 3,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * along with this program. If not, see <http://www.gnu.org/licenses/>  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                namespace OCA\FaceRecognition\Clusterer;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * This class implements the graph clustering algorithm described in the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * paper: Chinese Whispers - an Efficient Graph Clustering Algorithm and its  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * Application to Natural Language Processing Problems by Chris Biemann.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * In particular, it tries to be a shameless copy of the original dlib  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * implementation.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  - https://github.com/davisking/dlib/blob/master/dlib/clustering/chinese_whispers.h  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class ChineseWhispers { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	/**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 * Cluster the dataset by assigning a label to each sample.from the edges  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	static public function predict(array &$edges, array &$labels, int $num_iterations = 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$labels = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		if (count($edges) == 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			return 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$neighbors = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		self::find_neighbor_ranges($edges, $neighbors);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		// Initialize the labels, each node gets a different label.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		for ($i = 0; $i < count($neighbors); ++$i)  | 
            
                            
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                			$labels[$i] = $i;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		for ($iter = 0; $iter < count($neighbors)*$num_iterations; ++$iter)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			// Pick a random node.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$idx = random_int(0, count($neighbors) - 1);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			// Count how many times each label happens amongst our neighbors.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$labels_to_counts = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$end = $neighbors[$idx][1];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			for ($i = $neighbors[$idx][0]; $i != $end; ++$i)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                				$iLabelFirst = $edges[$i][1];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                				$iLabel = $labels[$iLabelFirst];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                				if (isset($labels_to_counts[$iLabel]))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                					$labels_to_counts[$iLabel]++;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                				else  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                					$labels_to_counts[$iLabel] = 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			// find the most common label  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			// std::map<unsigned long, double>::iterator i;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$best_score = PHP_INT_MIN;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$best_label = $labels[$idx];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			foreach ($labels_to_counts as $key => $value)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                				if ($value > $best_score)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                					$best_score = $value;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                					$best_label = $key;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                				}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$labels[$idx] = $best_label;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		// Remap the labels into a contiguous range.  First we find the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		// mapping.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		$label_remap = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		for ($i = 0; $i < count($labels); ++$i)  | 
            
                            
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                		{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$next_id = count($label_remap);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			if (!isset($label_remap[$labels[$i]]))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                				$label_remap[$labels[$i]] = $next_id;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		// now apply the mapping to all the labels.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		for ($i = 0; $i < count($labels); ++$i)  | 
            
                            
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                		{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                			$labels[$i] = $label_remap[$labels[$i]];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                		return count($label_remap);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	}  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                	static function find_neighbor_ranges (&$edges, &$neighbors) { | 
            
                            
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                		// setup neighbors so that [neighbors[i].first, neighbors[i].second) is the range  | 
            
            
                                                                        
                            
            
                                    
            
            
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                		// within edges that contains all node i's edges.  | 
            
            
                                                                        
                            
            
                                    
            
            
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                		$num_nodes = self::max_index_plus_one($edges);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                		for ($i = 0; $i < $num_nodes; ++$i) $neighbors[$i] = [0, 0];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                		$cur_node = 0;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                		$start_idx = 0;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                		for ($i = 0; $i < count($edges); ++$i)  | 
            
                            
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                		{ | 
            
            
                                                                        
                            
            
                                    
            
            
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                			if ($edges[$i][0] != $cur_node)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                				$neighbors[$cur_node] = [$start_idx, $i];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                				$start_idx = $i;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                				$cur_node = $edges[$i][0];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                			}  | 
            
            
                                                                        
                            
            
                                    
            
            
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                		}  | 
            
            
                                                                        
                            
            
                                    
            
            
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                		if (count($neighbors) !== 0)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                			$neighbors[$cur_node] = [$start_idx, count($edges)];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    126
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    127
                 | 
                                    
                             1                          | 
                
                 | 
                	static function max_index_plus_one ($pairs): int { | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    128
                 | 
                                    
                             1                          | 
                
                 | 
                		if (count($pairs) === 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    129
                 | 
                                    
                                                     | 
                
                 | 
                		{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
                                                     | 
                
                 | 
                			return 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                		else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                             1                          | 
                
                 | 
                			$max_idx = 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                             1                          | 
                
                 | 
                			for ($i = 0; $i < count($pairs); ++$i)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                			{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                             1                          | 
                
                 | 
                				if ($pairs[$i][0] > $max_idx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                					$max_idx = $pairs[$i][0];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                             1                          | 
                
                 | 
                				if ($pairs[$i][1] > $max_idx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                					$max_idx = $pairs[$i][1];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                			}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                             1                          | 
                
                 | 
                			return $max_idx + 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                             1                          | 
                
                 | 
                	static function convert_unordered_to_ordered (&$edges, &$out_edges)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                	{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                             1                          | 
                
                 | 
                		$out_edges = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                             1                          | 
                
                 | 
                		for ($i = 0; $i < count($edges); ++$i)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                		{ | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                             1                          | 
                
                 | 
                			$out_edges[] = [$edges[$i][0], $edges[$i][1]];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                             1                          | 
                
                 | 
                			if ($edges[$i][0] != $edges[$i][1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                				$out_edges[] = [$edges[$i][1], $edges[$i][0]];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                		}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                	}  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                        
If the size of the collection does not change during the iteration, it is generally a good practice to compute it beforehand, and not on each iteration: