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                <?php  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * (c) Ruben Dorado <[email protected]>  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * For the full copyright and license information, please view the LICENSE  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * file that was distributed with this source code.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                namespace SiteAnalyzer;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Exception;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * class ML  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @package   SiteAnalyzer  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @author    Ruben Dorado <[email protected]>  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @copyright 2018 Ruben Dorado  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @license   http://www.opensource.org/licenses/MIT The MIT License  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                 */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                class ML  | 
            
            
                                                                        
                            
            
                                    
            
            
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                { | 
            
            
                                                                        
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public static function kmeans($data, $nclusters)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $resp = [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $finished = false;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $niter = 0;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $maxiter = 100;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $npoints = count($data);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if ($npoints <= 0) throw new \Exception("Not enough data. ");     | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $ndimensions = count($data[0]);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $centroids = self::select_disjoint($data, $nclusters);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        while (!$finished && $niter < $maxiter) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                            // Assign each one of the points to one centroid     | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $niter++;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $nresp = [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            for ($j = 0; $j < $npoints; $j++) {         | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $best = -1;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $bdist = INF;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                for ($i = 0; $i < $nclusters; $i++) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                    $ndist = self::eclideanDistance($data[$j], $centroids[$i]);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                    if($bdist > $ndist) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                        $bdist = $ndist;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                        $best = $i;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                    }              | 
            
            
                                                                        
                            
            
                                    
            
            
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                                }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $nresp[] = $best;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            // Check change   | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $finished = true;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            if (count($resp) > 0) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                for ($j=0; $j < $npoints; $j++) {         | 
            
            
                                                                        
                            
            
                                    
            
            
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                                    if ($resp[$j]!==$nresp[$j]) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                        $finished = false;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                        break;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            } else { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $finished = false;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $resp = $nresp;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            // Recalculate the centroids  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $centroids = self::initCentroids($nclusters, $ndimensions, function(){return 0;}); | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $counts = array_fill(0, $nclusters, 0);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            for ($j = 0; $j < $npoints; $j++) {     | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $centroids[$resp[$j]] = Matrix::sumArray($centroids[$resp[$j]], $data[$j]);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $counts[$resp[$j]]++;              | 
            
            
                                                                        
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $centroids = self::normalizeCentroids($centroids, $counts);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return $resp;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    private static function select_disjoint($data, $n)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $resp = [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        foreach ($data as $row) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                            if ( !self::contains_point($resp, $row) ) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $resp[] = $row;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            if (count($resp) == $n) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                return $resp;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        throw new \Exception("Not enough unique points."); | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    private static function contains_point($matrix, $array)   | 
            
            
                                                                        
                            
            
                                    
            
            
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                        foreach ($matrix as $row){ | 
            
            
                                                                        
                            
            
                                    
            
            
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                            if (self::isEqual($row, $array)) return true;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return false;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    private static function isEqual($array1, $array2)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $len = count($array1);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if($len != count($array2) ) return false;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        for ($i=0; $i<$len; $i++) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                            if ($array1[$i] != $array2[$i]) return false;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return true;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                        
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    private static function normalizeCentroids($centroids, $counts)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $resp = [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $n = count($centroids);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $d = count($centroids[0]);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        for ($i=0;$i<$n;$i++) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $tmp = [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            for ($j=0;$j<$d;$j++){ | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $tmp[] = $centroids[$i][$j]/$counts[$i];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $resp[] = $tmp;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return $resp;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                      | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                    /*  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                     * @param  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                    public static function initCentroids($nclusters, $ndimensions, $fvalue)   | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                        $resp = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                        for ($i = 0; $i < $nclusters; $i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                            $centroid = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                            for ($d = 0; $d < $ndimensions; $d++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                                $centroid[] = $fvalue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                            $resp[] = $centroid;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                        return $resp;  | 
            
            
                                                                        
                                                                
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                        
                                                                
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                                                                
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                    /*  | 
            
            
                                                                        
                                                                
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                     * @param  | 
            
            
                                                                        
                                                                
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                    public static function eclideanDistance($p1, $p2) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                       $len = count($p1);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                       $acum = 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                       for($i=0; $i<$len; $i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                           $acum += ($p1[$i] - $p2[$i])**2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                       }  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                       return sqrt($acum);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                      | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                 |