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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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                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * class Matrix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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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 Matrix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public static function submatrix($matrix, $columns)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $n = count($matrix);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if ($n == 0) return [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $m = count($matrix[0]);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if ($m == 0) return $matrix;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                         | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = [];         | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for ($i=0; $i<$n; $i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $tmp = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            foreach ($columns as $col) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                $tmp[] = $matrix[$i][$col];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $result[] = $tmp;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return $result;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                     */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public static function toSquareMatrix($matrix, $ncol, $mcol, $vcol, $sparse = False)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $n = count($matrix);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if ($n == 0) return [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $labels = [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $id = 0;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $data = [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        for ($i=0; $i<$n; $i++) {   | 
            
            
                                                                        
                            
            
                                    
            
            
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                            if (!array_key_exists($matrix[$i][$ncol],$labels)) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $labels[$matrix[$i][$ncol]] = $id++;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            }        | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $nid = $labels[$matrix[$i][$ncol]];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            if (!array_key_exists($matrix[$i][$mcol],$labels)) { | 
            
            
                                                                        
                            
            
                                    
            
            
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                                $labels[$matrix[$i][$mcol]] = $id++;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $mid = $labels[$matrix[$i][$mcol]];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $val = $matrix[$i][$vcol];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $data[] = [$nid, $mid, $val];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if ($sparse) return ["data" => $data, "labels" => $labels];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $nlab = count($labels);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $result = [];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        for ($i=0; $i<$nlab; $i++) {            | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $tmp = array_fill(0, $nlab, 0);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $result[] = $tmp;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        foreach ($data as $row) {            | 
            
            
                                                                        
                            
            
                                    
            
            
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                            $result[$row[0]][$row[1]] = $row[2];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return ["data" => $result, "labels" => $labels];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public static function getColumn($matrix, $col)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $n = count($matrix1);  | 
            
                            
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                        $resp = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        foreach ($matrix as $row) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                           $resp[] = $row[$col];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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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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                    public static function sum($matrix1, $matrix2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $n = count($matrix1);          | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if ($n != count($matrix2)) throw new \Exception("Summing non compatible matrices. "); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $m = count($matrix1[0]);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for ($i=0;$i<$n;$i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $tmp = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            for($j=0;$j<$m;$j++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                $tmp[] = $matrix1[$i][$j] + $matrix2[$i][$j];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $result[] = $tmp;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return $result;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public static function multiply($matrix1, $matrix2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $n1 = count($matrix1);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $m1 = count($matrix1[0]);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $n2 = count($matrix2);          | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $m2 = count($matrix2[0]);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if ($n2 !== $m1) throw new \Exception("Incompatible matrices: matrix1.columns != matrix2.rows"); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $result = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for ($i=0; $i<$n1; $i++) {            | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $result[] = array_fill(0, $m2, 0);                      | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for ($i=0; $i<$n1; $i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            for ($j=0; $j<$m2; $j++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                 for ($k=0; $k<$n2; $k++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                     $result[$i][$j] += $matrix1[$i][$k]*$matrix2[$k][$j];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                 }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                     | 
                
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                        }          | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                        return $result;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                    /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                     * @param  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                    public static function toBinary($matrix) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                        $resp = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                        foreach ($matrix as $row) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                            $tmp = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                            foreach ($row as $dat) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                                $tmp[] = $dat == 0 ? 0 : 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                            $resp[] = $tmp;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                        return $resp;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                      | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                    /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                     * @param  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                    public static function arrayToMatrix($array) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                        $resp = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                        foreach ($array as $key => $val) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                            $resp[] = [$key, $val];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                        return $resp;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                      | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                    /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                     * @param  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                    public static function power($matrix, $n)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                        if($n <= 1) return $matrix;          | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                        $resp = self::multiply($matrix, $matrix);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                        if($n == 2) return $resp;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                        for($i=2; $i<$n; $i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                            $resp = self::multiply($resp, $matrix);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                        return $resp;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                      | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                    /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                     * @param  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                    public static function sumArray($array1, $array2) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                        $resp = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                        $n = min([count($array1), count($array2)]);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                        for ($i=0;$i<$n;$i++){ | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                            $resp[] = $array1[$i] + $array2[$i];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                        return $resp;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                 |