1060 lines
28 KiB
PHP
1060 lines
28 KiB
PHP
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<?php
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/**
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* @package JAMA
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*/
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/** PHPExcel root directory */
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if (!defined('PHPEXCEL_ROOT')) {
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/**
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* @ignore
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*/
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define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../../');
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require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');
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}
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/*
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* Matrix class
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*
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* @author Paul Meagher
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* @author Michael Bommarito
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* @author Lukasz Karapuda
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* @author Bartek Matosiuk
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* @version 1.8
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* @license PHP v3.0
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* @see http://math.nist.gov/javanumerics/jama/
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*/
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class PHPExcel_Shared_JAMA_Matrix {
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const PolymorphicArgumentException = "Invalid argument pattern for polymorphic function.";
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const ArgumentTypeException = "Invalid argument type.";
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const ArgumentBoundsException = "Invalid argument range.";
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const MatrixDimensionException = "Matrix dimensions are not equal.";
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const ArrayLengthException = "Array length must be a multiple of m.";
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/**
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* Matrix storage
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*
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* @var array
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* @access public
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*/
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public $A = array();
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/**
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* Matrix row dimension
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*
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* @var int
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* @access private
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*/
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private $m;
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/**
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* Matrix column dimension
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*
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* @var int
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* @access private
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*/
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private $n;
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/**
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* Polymorphic constructor
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*
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* As PHP has no support for polymorphic constructors, we hack our own sort of polymorphism using func_num_args, func_get_arg, and gettype. In essence, we're just implementing a simple RTTI filter and calling the appropriate constructor.
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*/
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public function __construct() {
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if (func_num_args() > 0) {
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$args = func_get_args();
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$match = implode(",", array_map('gettype', $args));
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switch($match) {
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//Rectangular matrix - m x n initialized from 2D array
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case 'array':
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$this->m = count($args[0]);
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$this->n = count($args[0][0]);
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$this->A = $args[0];
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break;
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//Square matrix - n x n
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case 'integer':
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$this->m = $args[0];
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$this->n = $args[0];
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$this->A = array_fill(0, $this->m, array_fill(0, $this->n, 0));
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break;
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//Rectangular matrix - m x n
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case 'integer,integer':
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$this->m = $args[0];
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$this->n = $args[1];
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$this->A = array_fill(0, $this->m, array_fill(0, $this->n, 0));
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break;
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//Rectangular matrix - m x n initialized from packed array
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case 'array,integer':
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$this->m = $args[1];
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if ($this->m != 0) {
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$this->n = count($args[0]) / $this->m;
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} else {
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$this->n = 0;
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}
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if (($this->m * $this->n) == count($args[0])) {
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for($i = 0; $i < $this->m; ++$i) {
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for($j = 0; $j < $this->n; ++$j) {
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$this->A[$i][$j] = $args[0][$i + $j * $this->m];
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}
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}
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} else {
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throw new Exception(self::ArrayLengthException);
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}
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break;
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default:
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throw new Exception(self::PolymorphicArgumentException);
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break;
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}
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} else {
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throw new Exception(self::PolymorphicArgumentException);
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}
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} // function __construct()
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/**
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* getArray
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*
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* @return array Matrix array
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*/
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public function getArray() {
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return $this->A;
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} // function getArray()
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/**
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* getRowDimension
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*
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* @return int Row dimension
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*/
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public function getRowDimension() {
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return $this->m;
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} // function getRowDimension()
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/**
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* getColumnDimension
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*
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* @return int Column dimension
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*/
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public function getColumnDimension() {
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return $this->n;
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} // function getColumnDimension()
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/**
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* get
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*
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* Get the i,j-th element of the matrix.
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* @param int $i Row position
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* @param int $j Column position
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* @return mixed Element (int/float/double)
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*/
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public function get($i = null, $j = null) {
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return $this->A[$i][$j];
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} // function get()
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/**
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* getMatrix
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*
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* Get a submatrix
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* @param int $i0 Initial row index
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* @param int $iF Final row index
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* @param int $j0 Initial column index
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* @param int $jF Final column index
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* @return Matrix Submatrix
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*/
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public function getMatrix() {
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if (func_num_args() > 0) {
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$args = func_get_args();
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$match = implode(",", array_map('gettype', $args));
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switch($match) {
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//A($i0...; $j0...)
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case 'integer,integer':
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list($i0, $j0) = $args;
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if ($i0 >= 0) { $m = $this->m - $i0; } else { throw new Exception(self::ArgumentBoundsException); }
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if ($j0 >= 0) { $n = $this->n - $j0; } else { throw new Exception(self::ArgumentBoundsException); }
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$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);
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for($i = $i0; $i < $this->m; ++$i) {
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for($j = $j0; $j < $this->n; ++$j) {
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$R->set($i, $j, $this->A[$i][$j]);
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}
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}
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return $R;
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break;
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//A($i0...$iF; $j0...$jF)
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case 'integer,integer,integer,integer':
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list($i0, $iF, $j0, $jF) = $args;
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if (($iF > $i0) && ($this->m >= $iF) && ($i0 >= 0)) { $m = $iF - $i0; } else { throw new Exception(self::ArgumentBoundsException); }
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if (($jF > $j0) && ($this->n >= $jF) && ($j0 >= 0)) { $n = $jF - $j0; } else { throw new Exception(self::ArgumentBoundsException); }
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$R = new PHPExcel_Shared_JAMA_Matrix($m+1, $n+1);
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for($i = $i0; $i <= $iF; ++$i) {
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for($j = $j0; $j <= $jF; ++$j) {
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$R->set($i - $i0, $j - $j0, $this->A[$i][$j]);
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}
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}
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return $R;
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break;
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//$R = array of row indices; $C = array of column indices
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case 'array,array':
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list($RL, $CL) = $args;
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if (count($RL) > 0) { $m = count($RL); } else { throw new Exception(self::ArgumentBoundsException); }
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if (count($CL) > 0) { $n = count($CL); } else { throw new Exception(self::ArgumentBoundsException); }
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$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);
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for($i = 0; $i < $m; ++$i) {
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for($j = 0; $j < $n; ++$j) {
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$R->set($i - $i0, $j - $j0, $this->A[$RL[$i]][$CL[$j]]);
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}
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}
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return $R;
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break;
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//$RL = array of row indices; $CL = array of column indices
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case 'array,array':
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list($RL, $CL) = $args;
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if (count($RL) > 0) { $m = count($RL); } else { throw new Exception(self::ArgumentBoundsException); }
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if (count($CL) > 0) { $n = count($CL); } else { throw new Exception(self::ArgumentBoundsException); }
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$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);
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for($i = 0; $i < $m; ++$i) {
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for($j = 0; $j < $n; ++$j) {
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$R->set($i, $j, $this->A[$RL[$i]][$CL[$j]]);
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}
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}
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return $R;
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break;
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//A($i0...$iF); $CL = array of column indices
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case 'integer,integer,array':
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list($i0, $iF, $CL) = $args;
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if (($iF > $i0) && ($this->m >= $iF) && ($i0 >= 0)) { $m = $iF - $i0; } else { throw new Exception(self::ArgumentBoundsException); }
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if (count($CL) > 0) { $n = count($CL); } else { throw new Exception(self::ArgumentBoundsException); }
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$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);
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for($i = $i0; $i < $iF; ++$i) {
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for($j = 0; $j < $n; ++$j) {
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$R->set($i - $i0, $j, $this->A[$RL[$i]][$j]);
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}
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}
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return $R;
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break;
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//$RL = array of row indices
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case 'array,integer,integer':
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list($RL, $j0, $jF) = $args;
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if (count($RL) > 0) { $m = count($RL); } else { throw new Exception(self::ArgumentBoundsException); }
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if (($jF >= $j0) && ($this->n >= $jF) && ($j0 >= 0)) { $n = $jF - $j0; } else { throw new Exception(self::ArgumentBoundsException); }
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$R = new PHPExcel_Shared_JAMA_Matrix($m, $n+1);
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for($i = 0; $i < $m; ++$i) {
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for($j = $j0; $j <= $jF; ++$j) {
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$R->set($i, $j - $j0, $this->A[$RL[$i]][$j]);
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}
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}
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return $R;
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break;
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default:
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throw new Exception(self::PolymorphicArgumentException);
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break;
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}
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} else {
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throw new Exception(self::PolymorphicArgumentException);
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}
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} // function getMatrix()
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/**
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* checkMatrixDimensions
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*
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* Is matrix B the same size?
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* @param Matrix $B Matrix B
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* @return boolean
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*/
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public function checkMatrixDimensions($B = null) {
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if ($B instanceof PHPExcel_Shared_JAMA_Matrix) {
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if (($this->m == $B->getRowDimension()) && ($this->n == $B->getColumnDimension())) {
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return true;
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} else {
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throw new Exception(self::MatrixDimensionException);
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}
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} else {
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throw new Exception(self::ArgumentTypeException);
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}
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} // function checkMatrixDimensions()
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/**
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* set
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*
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* Set the i,j-th element of the matrix.
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* @param int $i Row position
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* @param int $j Column position
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* @param mixed $c Int/float/double value
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* @return mixed Element (int/float/double)
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*/
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public function set($i = null, $j = null, $c = null) {
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// Optimized set version just has this
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$this->A[$i][$j] = $c;
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} // function set()
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/**
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|
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* identity
|
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*
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* Generate an identity matrix.
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* @param int $m Row dimension
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* @param int $n Column dimension
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* @return Matrix Identity matrix
|
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*/
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public function identity($m = null, $n = null) {
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return $this->diagonal($m, $n, 1);
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} // function identity()
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/**
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* diagonal
|
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*
|
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* Generate a diagonal matrix
|
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* @param int $m Row dimension
|
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* @param int $n Column dimension
|
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* @param mixed $c Diagonal value
|
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* @return Matrix Diagonal matrix
|
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*/
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public function diagonal($m = null, $n = null, $c = 1) {
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$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);
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for($i = 0; $i < $m; ++$i) {
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$R->set($i, $i, $c);
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}
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return $R;
|
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} // function diagonal()
|
||
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|
||
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|
||
|
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/**
|
||
|
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* getMatrixByRow
|
||
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*
|
||
|
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* Get a submatrix by row index/range
|
||
|
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* @param int $i0 Initial row index
|
||
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* @param int $iF Final row index
|
||
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* @return Matrix Submatrix
|
||
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*/
|
||
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public function getMatrixByRow($i0 = null, $iF = null) {
|
||
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if (is_int($i0)) {
|
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if (is_int($iF)) {
|
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return $this->getMatrix($i0, 0, $iF + 1, $this->n);
|
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} else {
|
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return $this->getMatrix($i0, 0, $i0 + 1, $this->n);
|
||
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}
|
||
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} else {
|
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throw new Exception(self::ArgumentTypeException);
|
||
|
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}
|
||
|
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} // function getMatrixByRow()
|
||
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|
||
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|
||
|
|
/**
|
||
|
|
* getMatrixByCol
|
||
|
|
*
|
||
|
|
* Get a submatrix by column index/range
|
||
|
|
* @param int $i0 Initial column index
|
||
|
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* @param int $iF Final column index
|
||
|
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* @return Matrix Submatrix
|
||
|
|
*/
|
||
|
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public function getMatrixByCol($j0 = null, $jF = null) {
|
||
|
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if (is_int($j0)) {
|
||
|
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if (is_int($jF)) {
|
||
|
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return $this->getMatrix(0, $j0, $this->m, $jF + 1);
|
||
|
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} else {
|
||
|
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return $this->getMatrix(0, $j0, $this->m, $j0 + 1);
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::ArgumentTypeException);
|
||
|
|
}
|
||
|
|
} // function getMatrixByCol()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* transpose
|
||
|
|
*
|
||
|
|
* Tranpose matrix
|
||
|
|
* @return Matrix Transposed matrix
|
||
|
|
*/
|
||
|
|
public function transpose() {
|
||
|
|
$R = new PHPExcel_Shared_JAMA_Matrix($this->n, $this->m);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$R->set($j, $i, $this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $R;
|
||
|
|
} // function transpose()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* trace
|
||
|
|
*
|
||
|
|
* Sum of diagonal elements
|
||
|
|
* @return float Sum of diagonal elements
|
||
|
|
*/
|
||
|
|
public function trace() {
|
||
|
|
$s = 0;
|
||
|
|
$n = min($this->m, $this->n);
|
||
|
|
for($i = 0; $i < $n; ++$i) {
|
||
|
|
$s += $this->A[$i][$i];
|
||
|
|
}
|
||
|
|
return $s;
|
||
|
|
} // function trace()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* uminus
|
||
|
|
*
|
||
|
|
* Unary minus matrix -A
|
||
|
|
* @return Matrix Unary minus matrix
|
||
|
|
*/
|
||
|
|
public function uminus() {
|
||
|
|
} // function uminus()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* plus
|
||
|
|
*
|
||
|
|
* A + B
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Sum
|
||
|
|
*/
|
||
|
|
public function plus() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$M->set($i, $j, $M->get($i, $j) + $this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $M;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function plus()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* plusEquals
|
||
|
|
*
|
||
|
|
* A = A + B
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Sum
|
||
|
|
*/
|
||
|
|
public function plusEquals() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$validValues = True;
|
||
|
|
$value = $M->get($i, $j);
|
||
|
|
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
||
|
|
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
||
|
|
$value = trim($value,'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
||
|
|
}
|
||
|
|
if ($validValues) {
|
||
|
|
$this->A[$i][$j] += $value;
|
||
|
|
} else {
|
||
|
|
$this->A[$i][$j] = PHPExcel_Calculation_Functions::NaN();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $this;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function plusEquals()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* minus
|
||
|
|
*
|
||
|
|
* A - B
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Sum
|
||
|
|
*/
|
||
|
|
public function minus() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$M->set($i, $j, $M->get($i, $j) - $this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $M;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function minus()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* minusEquals
|
||
|
|
*
|
||
|
|
* A = A - B
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Sum
|
||
|
|
*/
|
||
|
|
public function minusEquals() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$validValues = True;
|
||
|
|
$value = $M->get($i, $j);
|
||
|
|
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
||
|
|
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
||
|
|
$value = trim($value,'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
||
|
|
}
|
||
|
|
if ($validValues) {
|
||
|
|
$this->A[$i][$j] -= $value;
|
||
|
|
} else {
|
||
|
|
$this->A[$i][$j] = PHPExcel_Calculation_Functions::NaN();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $this;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function minusEquals()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* arrayTimes
|
||
|
|
*
|
||
|
|
* Element-by-element multiplication
|
||
|
|
* Cij = Aij * Bij
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Matrix Cij
|
||
|
|
*/
|
||
|
|
public function arrayTimes() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$M->set($i, $j, $M->get($i, $j) * $this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $M;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function arrayTimes()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* arrayTimesEquals
|
||
|
|
*
|
||
|
|
* Element-by-element multiplication
|
||
|
|
* Aij = Aij * Bij
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Matrix Aij
|
||
|
|
*/
|
||
|
|
public function arrayTimesEquals() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$validValues = True;
|
||
|
|
$value = $M->get($i, $j);
|
||
|
|
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
||
|
|
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
||
|
|
$value = trim($value,'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
||
|
|
}
|
||
|
|
if ($validValues) {
|
||
|
|
$this->A[$i][$j] *= $value;
|
||
|
|
} else {
|
||
|
|
$this->A[$i][$j] = PHPExcel_Calculation_Functions::NaN();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $this;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function arrayTimesEquals()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* arrayRightDivide
|
||
|
|
*
|
||
|
|
* Element-by-element right division
|
||
|
|
* A / B
|
||
|
|
* @param Matrix $B Matrix B
|
||
|
|
* @return Matrix Division result
|
||
|
|
*/
|
||
|
|
public function arrayRightDivide() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$validValues = True;
|
||
|
|
$value = $M->get($i, $j);
|
||
|
|
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
||
|
|
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
||
|
|
$value = trim($value,'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
||
|
|
}
|
||
|
|
if ($validValues) {
|
||
|
|
if ($value == 0) {
|
||
|
|
// Trap for Divide by Zero error
|
||
|
|
$M->set($i, $j, '#DIV/0!');
|
||
|
|
} else {
|
||
|
|
$M->set($i, $j, $this->A[$i][$j] / $value);
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
$M->set($i, $j, PHPExcel_Calculation_Functions::NaN());
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $M;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function arrayRightDivide()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* arrayRightDivideEquals
|
||
|
|
*
|
||
|
|
* Element-by-element right division
|
||
|
|
* Aij = Aij / Bij
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Matrix Aij
|
||
|
|
*/
|
||
|
|
public function arrayRightDivideEquals() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$this->A[$i][$j] = $this->A[$i][$j] / $M->get($i, $j);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $M;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function arrayRightDivideEquals()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* arrayLeftDivide
|
||
|
|
*
|
||
|
|
* Element-by-element Left division
|
||
|
|
* A / B
|
||
|
|
* @param Matrix $B Matrix B
|
||
|
|
* @return Matrix Division result
|
||
|
|
*/
|
||
|
|
public function arrayLeftDivide() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$M->set($i, $j, $M->get($i, $j) / $this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $M;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function arrayLeftDivide()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* arrayLeftDivideEquals
|
||
|
|
*
|
||
|
|
* Element-by-element Left division
|
||
|
|
* Aij = Aij / Bij
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Matrix Aij
|
||
|
|
*/
|
||
|
|
public function arrayLeftDivideEquals() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$this->A[$i][$j] = $M->get($i, $j) / $this->A[$i][$j];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $M;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function arrayLeftDivideEquals()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* times
|
||
|
|
*
|
||
|
|
* Matrix multiplication
|
||
|
|
* @param mixed $n Matrix/Array/Scalar
|
||
|
|
* @return Matrix Product
|
||
|
|
*/
|
||
|
|
public function times() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $B = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
if ($this->n == $B->m) {
|
||
|
|
$C = new PHPExcel_Shared_JAMA_Matrix($this->m, $B->n);
|
||
|
|
for($j = 0; $j < $B->n; ++$j) {
|
||
|
|
for ($k = 0; $k < $this->n; ++$k) {
|
||
|
|
$Bcolj[$k] = $B->A[$k][$j];
|
||
|
|
}
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
$Arowi = $this->A[$i];
|
||
|
|
$s = 0;
|
||
|
|
for($k = 0; $k < $this->n; ++$k) {
|
||
|
|
$s += $Arowi[$k] * $Bcolj[$k];
|
||
|
|
}
|
||
|
|
$C->A[$i][$j] = $s;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $C;
|
||
|
|
} else {
|
||
|
|
throw new Exception(JAMAError(MatrixDimensionMismatch));
|
||
|
|
}
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$B = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
if ($this->n == $B->m) {
|
||
|
|
$C = new PHPExcel_Shared_JAMA_Matrix($this->m, $B->n);
|
||
|
|
for($i = 0; $i < $C->m; ++$i) {
|
||
|
|
for($j = 0; $j < $C->n; ++$j) {
|
||
|
|
$s = "0";
|
||
|
|
for($k = 0; $k < $C->n; ++$k) {
|
||
|
|
$s += $this->A[$i][$k] * $B->A[$k][$j];
|
||
|
|
}
|
||
|
|
$C->A[$i][$j] = $s;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $C;
|
||
|
|
} else {
|
||
|
|
throw new Exception(JAMAError(MatrixDimensionMismatch));
|
||
|
|
}
|
||
|
|
return $M;
|
||
|
|
break;
|
||
|
|
case 'integer':
|
||
|
|
$C = new PHPExcel_Shared_JAMA_Matrix($this->A);
|
||
|
|
for($i = 0; $i < $C->m; ++$i) {
|
||
|
|
for($j = 0; $j < $C->n; ++$j) {
|
||
|
|
$C->A[$i][$j] *= $args[0];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $C;
|
||
|
|
break;
|
||
|
|
case 'double':
|
||
|
|
$C = new PHPExcel_Shared_JAMA_Matrix($this->m, $this->n);
|
||
|
|
for($i = 0; $i < $C->m; ++$i) {
|
||
|
|
for($j = 0; $j < $C->n; ++$j) {
|
||
|
|
$C->A[$i][$j] = $args[0] * $this->A[$i][$j];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $C;
|
||
|
|
break;
|
||
|
|
case 'float':
|
||
|
|
$C = new PHPExcel_Shared_JAMA_Matrix($this->A);
|
||
|
|
for($i = 0; $i < $C->m; ++$i) {
|
||
|
|
for($j = 0; $j < $C->n; ++$j) {
|
||
|
|
$C->A[$i][$j] *= $args[0];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $C;
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function times()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* power
|
||
|
|
*
|
||
|
|
* A = A ^ B
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Sum
|
||
|
|
*/
|
||
|
|
public function power() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
break;
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$validValues = True;
|
||
|
|
$value = $M->get($i, $j);
|
||
|
|
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
||
|
|
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
||
|
|
}
|
||
|
|
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
||
|
|
$value = trim($value,'"');
|
||
|
|
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
||
|
|
}
|
||
|
|
if ($validValues) {
|
||
|
|
$this->A[$i][$j] = pow($this->A[$i][$j],$value);
|
||
|
|
} else {
|
||
|
|
$this->A[$i][$j] = PHPExcel_Calculation_Functions::NaN();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $this;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function power()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* concat
|
||
|
|
*
|
||
|
|
* A = A & B
|
||
|
|
* @param mixed $B Matrix/Array
|
||
|
|
* @return Matrix Sum
|
||
|
|
*/
|
||
|
|
public function concat() {
|
||
|
|
if (func_num_args() > 0) {
|
||
|
|
$args = func_get_args();
|
||
|
|
$match = implode(",", array_map('gettype', $args));
|
||
|
|
|
||
|
|
switch($match) {
|
||
|
|
case 'object':
|
||
|
|
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new Exception(self::ArgumentTypeException); }
|
||
|
|
case 'array':
|
||
|
|
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
||
|
|
break;
|
||
|
|
default:
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
$this->checkMatrixDimensions($M);
|
||
|
|
for($i = 0; $i < $this->m; ++$i) {
|
||
|
|
for($j = 0; $j < $this->n; ++$j) {
|
||
|
|
$this->A[$i][$j] = trim($this->A[$i][$j],'"').trim($M->get($i, $j),'"');
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return $this;
|
||
|
|
} else {
|
||
|
|
throw new Exception(self::PolymorphicArgumentException);
|
||
|
|
}
|
||
|
|
} // function concat()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Solve A*X = B.
|
||
|
|
*
|
||
|
|
* @param Matrix $B Right hand side
|
||
|
|
* @return Matrix ... Solution if A is square, least squares solution otherwise
|
||
|
|
*/
|
||
|
|
public function solve($B) {
|
||
|
|
if ($this->m == $this->n) {
|
||
|
|
$LU = new PHPExcel_Shared_JAMA_LUDecomposition($this);
|
||
|
|
return $LU->solve($B);
|
||
|
|
} else {
|
||
|
|
$QR = new QRDecomposition($this);
|
||
|
|
return $QR->solve($B);
|
||
|
|
}
|
||
|
|
} // function solve()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Matrix inverse or pseudoinverse.
|
||
|
|
*
|
||
|
|
* @return Matrix ... Inverse(A) if A is square, pseudoinverse otherwise.
|
||
|
|
*/
|
||
|
|
public function inverse() {
|
||
|
|
return $this->solve($this->identity($this->m, $this->m));
|
||
|
|
} // function inverse()
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* det
|
||
|
|
*
|
||
|
|
* Calculate determinant
|
||
|
|
* @return float Determinant
|
||
|
|
*/
|
||
|
|
public function det() {
|
||
|
|
$L = new PHPExcel_Shared_JAMA_LUDecomposition($this);
|
||
|
|
return $L->det();
|
||
|
|
} // function det()
|
||
|
|
|
||
|
|
|
||
|
|
} // class PHPExcel_Shared_JAMA_Matrix
|