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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 PHPExcel_Calculation_Exception(self::ArrayLengthException);
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}
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break;
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default:
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throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
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break;
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}
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} else {
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throw new PHPExcel_Calculation_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 - $i0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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if ($j0 >= 0) { $n = $this->n - $j0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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$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 - $i0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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if (($jF > $j0) && ($this->n >= $jF) && ($j0 >= 0)) { $n = $jF - $j0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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$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 PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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if (count($CL) > 0) { $n = count($CL); } else { throw new PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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if (count($CL) > 0) { $n = count($CL); } else { throw new PHPExcel_Calculation_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 - $i0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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if (count($CL) > 0) { $n = count($CL); } else { throw new PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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if (($jF >= $j0) && ($this->n >= $jF) && ($j0 >= 0)) { $n = $jF - $j0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }
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$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 PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
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break;
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}
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} else {
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throw new PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::MatrixDimensionException);
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}
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} else {
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throw new PHPExcel_Calculation_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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* 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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* 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 $iF Final row index
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* @return Matrix Submatrix
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*/
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340 |
public function getMatrixByRow($i0 = null, $iF = null) {
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if (is_int($i0)) {
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342 |
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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348 |
throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException);
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349 |
}
|
|
|
350 |
} // function getMatrixByRow()
|
|
|
351 |
|
|
|
352 |
|
|
|
353 |
/**
|
|
|
354 |
* getMatrixByCol
|
|
|
355 |
*
|
|
|
356 |
* Get a submatrix by column index/range
|
|
|
357 |
* @param int $i0 Initial column index
|
|
|
358 |
* @param int $iF Final column index
|
|
|
359 |
* @return Matrix Submatrix
|
|
|
360 |
*/
|
|
|
361 |
public function getMatrixByCol($j0 = null, $jF = null) {
|
|
|
362 |
if (is_int($j0)) {
|
|
|
363 |
if (is_int($jF)) {
|
|
|
364 |
return $this->getMatrix(0, $j0, $this->m, $jF + 1);
|
|
|
365 |
} else {
|
|
|
366 |
return $this->getMatrix(0, $j0, $this->m, $j0 + 1);
|
|
|
367 |
}
|
|
|
368 |
} else {
|
|
|
369 |
throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException);
|
|
|
370 |
}
|
|
|
371 |
} // function getMatrixByCol()
|
|
|
372 |
|
|
|
373 |
|
|
|
374 |
/**
|
|
|
375 |
* transpose
|
|
|
376 |
*
|
|
|
377 |
* Tranpose matrix
|
|
|
378 |
* @return Matrix Transposed matrix
|
|
|
379 |
*/
|
|
|
380 |
public function transpose() {
|
|
|
381 |
$R = new PHPExcel_Shared_JAMA_Matrix($this->n, $this->m);
|
|
|
382 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
383 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
384 |
$R->set($j, $i, $this->A[$i][$j]);
|
|
|
385 |
}
|
|
|
386 |
}
|
|
|
387 |
return $R;
|
|
|
388 |
} // function transpose()
|
|
|
389 |
|
|
|
390 |
|
|
|
391 |
/**
|
|
|
392 |
* trace
|
|
|
393 |
*
|
|
|
394 |
* Sum of diagonal elements
|
|
|
395 |
* @return float Sum of diagonal elements
|
|
|
396 |
*/
|
|
|
397 |
public function trace() {
|
|
|
398 |
$s = 0;
|
|
|
399 |
$n = min($this->m, $this->n);
|
|
|
400 |
for($i = 0; $i < $n; ++$i) {
|
|
|
401 |
$s += $this->A[$i][$i];
|
|
|
402 |
}
|
|
|
403 |
return $s;
|
|
|
404 |
} // function trace()
|
|
|
405 |
|
|
|
406 |
|
|
|
407 |
/**
|
|
|
408 |
* uminus
|
|
|
409 |
*
|
|
|
410 |
* Unary minus matrix -A
|
|
|
411 |
* @return Matrix Unary minus matrix
|
|
|
412 |
*/
|
|
|
413 |
public function uminus() {
|
|
|
414 |
} // function uminus()
|
|
|
415 |
|
|
|
416 |
|
|
|
417 |
/**
|
|
|
418 |
* plus
|
|
|
419 |
*
|
|
|
420 |
* A + B
|
|
|
421 |
* @param mixed $B Matrix/Array
|
|
|
422 |
* @return Matrix Sum
|
|
|
423 |
*/
|
|
|
424 |
public function plus() {
|
|
|
425 |
if (func_num_args() > 0) {
|
|
|
426 |
$args = func_get_args();
|
|
|
427 |
$match = implode(",", array_map('gettype', $args));
|
|
|
428 |
|
|
|
429 |
switch($match) {
|
|
|
430 |
case 'object':
|
|
|
431 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
432 |
break;
|
|
|
433 |
case 'array':
|
|
|
434 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
435 |
break;
|
|
|
436 |
default:
|
|
|
437 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
438 |
break;
|
|
|
439 |
}
|
|
|
440 |
$this->checkMatrixDimensions($M);
|
|
|
441 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
442 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
443 |
$M->set($i, $j, $M->get($i, $j) + $this->A[$i][$j]);
|
|
|
444 |
}
|
|
|
445 |
}
|
|
|
446 |
return $M;
|
|
|
447 |
} else {
|
|
|
448 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
449 |
}
|
|
|
450 |
} // function plus()
|
|
|
451 |
|
|
|
452 |
|
|
|
453 |
/**
|
|
|
454 |
* plusEquals
|
|
|
455 |
*
|
|
|
456 |
* A = A + B
|
|
|
457 |
* @param mixed $B Matrix/Array
|
|
|
458 |
* @return Matrix Sum
|
|
|
459 |
*/
|
|
|
460 |
public function plusEquals() {
|
|
|
461 |
if (func_num_args() > 0) {
|
|
|
462 |
$args = func_get_args();
|
|
|
463 |
$match = implode(",", array_map('gettype', $args));
|
|
|
464 |
|
|
|
465 |
switch($match) {
|
|
|
466 |
case 'object':
|
|
|
467 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
468 |
break;
|
|
|
469 |
case 'array':
|
|
|
470 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
471 |
break;
|
|
|
472 |
default:
|
|
|
473 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
474 |
break;
|
|
|
475 |
}
|
|
|
476 |
$this->checkMatrixDimensions($M);
|
|
|
477 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
478 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
479 |
$validValues = True;
|
|
|
480 |
$value = $M->get($i, $j);
|
|
|
481 |
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
|
|
482 |
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
|
|
483 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
|
|
484 |
}
|
|
|
485 |
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
|
|
486 |
$value = trim($value,'"');
|
|
|
487 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
|
|
488 |
}
|
|
|
489 |
if ($validValues) {
|
|
|
490 |
$this->A[$i][$j] += $value;
|
|
|
491 |
} else {
|
|
|
492 |
$this->A[$i][$j] = PHPExcel_Calculation_Functions::NaN();
|
|
|
493 |
}
|
|
|
494 |
}
|
|
|
495 |
}
|
|
|
496 |
return $this;
|
|
|
497 |
} else {
|
|
|
498 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
499 |
}
|
|
|
500 |
} // function plusEquals()
|
|
|
501 |
|
|
|
502 |
|
|
|
503 |
/**
|
|
|
504 |
* minus
|
|
|
505 |
*
|
|
|
506 |
* A - B
|
|
|
507 |
* @param mixed $B Matrix/Array
|
|
|
508 |
* @return Matrix Sum
|
|
|
509 |
*/
|
|
|
510 |
public function minus() {
|
|
|
511 |
if (func_num_args() > 0) {
|
|
|
512 |
$args = func_get_args();
|
|
|
513 |
$match = implode(",", array_map('gettype', $args));
|
|
|
514 |
|
|
|
515 |
switch($match) {
|
|
|
516 |
case 'object':
|
|
|
517 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
518 |
break;
|
|
|
519 |
case 'array':
|
|
|
520 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
521 |
break;
|
|
|
522 |
default:
|
|
|
523 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
524 |
break;
|
|
|
525 |
}
|
|
|
526 |
$this->checkMatrixDimensions($M);
|
|
|
527 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
528 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
529 |
$M->set($i, $j, $M->get($i, $j) - $this->A[$i][$j]);
|
|
|
530 |
}
|
|
|
531 |
}
|
|
|
532 |
return $M;
|
|
|
533 |
} else {
|
|
|
534 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
535 |
}
|
|
|
536 |
} // function minus()
|
|
|
537 |
|
|
|
538 |
|
|
|
539 |
/**
|
|
|
540 |
* minusEquals
|
|
|
541 |
*
|
|
|
542 |
* A = A - B
|
|
|
543 |
* @param mixed $B Matrix/Array
|
|
|
544 |
* @return Matrix Sum
|
|
|
545 |
*/
|
|
|
546 |
public function minusEquals() {
|
|
|
547 |
if (func_num_args() > 0) {
|
|
|
548 |
$args = func_get_args();
|
|
|
549 |
$match = implode(",", array_map('gettype', $args));
|
|
|
550 |
|
|
|
551 |
switch($match) {
|
|
|
552 |
case 'object':
|
|
|
553 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
554 |
break;
|
|
|
555 |
case 'array':
|
|
|
556 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
557 |
break;
|
|
|
558 |
default:
|
|
|
559 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
560 |
break;
|
|
|
561 |
}
|
|
|
562 |
$this->checkMatrixDimensions($M);
|
|
|
563 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
564 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
565 |
$validValues = True;
|
|
|
566 |
$value = $M->get($i, $j);
|
|
|
567 |
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
|
|
568 |
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
|
|
569 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
|
|
570 |
}
|
|
|
571 |
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
|
|
572 |
$value = trim($value,'"');
|
|
|
573 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
|
|
574 |
}
|
|
|
575 |
if ($validValues) {
|
|
|
576 |
$this->A[$i][$j] -= $value;
|
|
|
577 |
} else {
|
|
|
578 |
$this->A[$i][$j] = PHPExcel_Calculation_Functions::NaN();
|
|
|
579 |
}
|
|
|
580 |
}
|
|
|
581 |
}
|
|
|
582 |
return $this;
|
|
|
583 |
} else {
|
|
|
584 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
585 |
}
|
|
|
586 |
} // function minusEquals()
|
|
|
587 |
|
|
|
588 |
|
|
|
589 |
/**
|
|
|
590 |
* arrayTimes
|
|
|
591 |
*
|
|
|
592 |
* Element-by-element multiplication
|
|
|
593 |
* Cij = Aij * Bij
|
|
|
594 |
* @param mixed $B Matrix/Array
|
|
|
595 |
* @return Matrix Matrix Cij
|
|
|
596 |
*/
|
|
|
597 |
public function arrayTimes() {
|
|
|
598 |
if (func_num_args() > 0) {
|
|
|
599 |
$args = func_get_args();
|
|
|
600 |
$match = implode(",", array_map('gettype', $args));
|
|
|
601 |
|
|
|
602 |
switch($match) {
|
|
|
603 |
case 'object':
|
|
|
604 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
605 |
break;
|
|
|
606 |
case 'array':
|
|
|
607 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
608 |
break;
|
|
|
609 |
default:
|
|
|
610 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
611 |
break;
|
|
|
612 |
}
|
|
|
613 |
$this->checkMatrixDimensions($M);
|
|
|
614 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
615 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
616 |
$M->set($i, $j, $M->get($i, $j) * $this->A[$i][$j]);
|
|
|
617 |
}
|
|
|
618 |
}
|
|
|
619 |
return $M;
|
|
|
620 |
} else {
|
|
|
621 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
622 |
}
|
|
|
623 |
} // function arrayTimes()
|
|
|
624 |
|
|
|
625 |
|
|
|
626 |
/**
|
|
|
627 |
* arrayTimesEquals
|
|
|
628 |
*
|
|
|
629 |
* Element-by-element multiplication
|
|
|
630 |
* Aij = Aij * Bij
|
|
|
631 |
* @param mixed $B Matrix/Array
|
|
|
632 |
* @return Matrix Matrix Aij
|
|
|
633 |
*/
|
|
|
634 |
public function arrayTimesEquals() {
|
|
|
635 |
if (func_num_args() > 0) {
|
|
|
636 |
$args = func_get_args();
|
|
|
637 |
$match = implode(",", array_map('gettype', $args));
|
|
|
638 |
|
|
|
639 |
switch($match) {
|
|
|
640 |
case 'object':
|
|
|
641 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
642 |
break;
|
|
|
643 |
case 'array':
|
|
|
644 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
645 |
break;
|
|
|
646 |
default:
|
|
|
647 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
648 |
break;
|
|
|
649 |
}
|
|
|
650 |
$this->checkMatrixDimensions($M);
|
|
|
651 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
652 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
653 |
$validValues = True;
|
|
|
654 |
$value = $M->get($i, $j);
|
|
|
655 |
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
|
|
656 |
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
|
|
657 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
|
|
658 |
}
|
|
|
659 |
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
|
|
660 |
$value = trim($value,'"');
|
|
|
661 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
|
|
662 |
}
|
|
|
663 |
if ($validValues) {
|
|
|
664 |
$this->A[$i][$j] *= $value;
|
|
|
665 |
} else {
|
|
|
666 |
$this->A[$i][$j] = PHPExcel_Calculation_Functions::NaN();
|
|
|
667 |
}
|
|
|
668 |
}
|
|
|
669 |
}
|
|
|
670 |
return $this;
|
|
|
671 |
} else {
|
|
|
672 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
673 |
}
|
|
|
674 |
} // function arrayTimesEquals()
|
|
|
675 |
|
|
|
676 |
|
|
|
677 |
/**
|
|
|
678 |
* arrayRightDivide
|
|
|
679 |
*
|
|
|
680 |
* Element-by-element right division
|
|
|
681 |
* A / B
|
|
|
682 |
* @param Matrix $B Matrix B
|
|
|
683 |
* @return Matrix Division result
|
|
|
684 |
*/
|
|
|
685 |
public function arrayRightDivide() {
|
|
|
686 |
if (func_num_args() > 0) {
|
|
|
687 |
$args = func_get_args();
|
|
|
688 |
$match = implode(",", array_map('gettype', $args));
|
|
|
689 |
|
|
|
690 |
switch($match) {
|
|
|
691 |
case 'object':
|
|
|
692 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
693 |
break;
|
|
|
694 |
case 'array':
|
|
|
695 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
696 |
break;
|
|
|
697 |
default:
|
|
|
698 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
699 |
break;
|
|
|
700 |
}
|
|
|
701 |
$this->checkMatrixDimensions($M);
|
|
|
702 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
703 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
704 |
$validValues = True;
|
|
|
705 |
$value = $M->get($i, $j);
|
|
|
706 |
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
|
|
707 |
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
|
|
708 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
|
|
709 |
}
|
|
|
710 |
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
|
|
711 |
$value = trim($value,'"');
|
|
|
712 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
|
|
713 |
}
|
|
|
714 |
if ($validValues) {
|
|
|
715 |
if ($value == 0) {
|
|
|
716 |
// Trap for Divide by Zero error
|
|
|
717 |
$M->set($i, $j, '#DIV/0!');
|
|
|
718 |
} else {
|
|
|
719 |
$M->set($i, $j, $this->A[$i][$j] / $value);
|
|
|
720 |
}
|
|
|
721 |
} else {
|
|
|
722 |
$M->set($i, $j, PHPExcel_Calculation_Functions::NaN());
|
|
|
723 |
}
|
|
|
724 |
}
|
|
|
725 |
}
|
|
|
726 |
return $M;
|
|
|
727 |
} else {
|
|
|
728 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
729 |
}
|
|
|
730 |
} // function arrayRightDivide()
|
|
|
731 |
|
|
|
732 |
|
|
|
733 |
/**
|
|
|
734 |
* arrayRightDivideEquals
|
|
|
735 |
*
|
|
|
736 |
* Element-by-element right division
|
|
|
737 |
* Aij = Aij / Bij
|
|
|
738 |
* @param mixed $B Matrix/Array
|
|
|
739 |
* @return Matrix Matrix Aij
|
|
|
740 |
*/
|
|
|
741 |
public function arrayRightDivideEquals() {
|
|
|
742 |
if (func_num_args() > 0) {
|
|
|
743 |
$args = func_get_args();
|
|
|
744 |
$match = implode(",", array_map('gettype', $args));
|
|
|
745 |
|
|
|
746 |
switch($match) {
|
|
|
747 |
case 'object':
|
|
|
748 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
749 |
break;
|
|
|
750 |
case 'array':
|
|
|
751 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
752 |
break;
|
|
|
753 |
default:
|
|
|
754 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
755 |
break;
|
|
|
756 |
}
|
|
|
757 |
$this->checkMatrixDimensions($M);
|
|
|
758 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
759 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
760 |
$this->A[$i][$j] = $this->A[$i][$j] / $M->get($i, $j);
|
|
|
761 |
}
|
|
|
762 |
}
|
|
|
763 |
return $M;
|
|
|
764 |
} else {
|
|
|
765 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
766 |
}
|
|
|
767 |
} // function arrayRightDivideEquals()
|
|
|
768 |
|
|
|
769 |
|
|
|
770 |
/**
|
|
|
771 |
* arrayLeftDivide
|
|
|
772 |
*
|
|
|
773 |
* Element-by-element Left division
|
|
|
774 |
* A / B
|
|
|
775 |
* @param Matrix $B Matrix B
|
|
|
776 |
* @return Matrix Division result
|
|
|
777 |
*/
|
|
|
778 |
public function arrayLeftDivide() {
|
|
|
779 |
if (func_num_args() > 0) {
|
|
|
780 |
$args = func_get_args();
|
|
|
781 |
$match = implode(",", array_map('gettype', $args));
|
|
|
782 |
|
|
|
783 |
switch($match) {
|
|
|
784 |
case 'object':
|
|
|
785 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
786 |
break;
|
|
|
787 |
case 'array':
|
|
|
788 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
789 |
break;
|
|
|
790 |
default:
|
|
|
791 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
792 |
break;
|
|
|
793 |
}
|
|
|
794 |
$this->checkMatrixDimensions($M);
|
|
|
795 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
796 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
797 |
$M->set($i, $j, $M->get($i, $j) / $this->A[$i][$j]);
|
|
|
798 |
}
|
|
|
799 |
}
|
|
|
800 |
return $M;
|
|
|
801 |
} else {
|
|
|
802 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
803 |
}
|
|
|
804 |
} // function arrayLeftDivide()
|
|
|
805 |
|
|
|
806 |
|
|
|
807 |
/**
|
|
|
808 |
* arrayLeftDivideEquals
|
|
|
809 |
*
|
|
|
810 |
* Element-by-element Left division
|
|
|
811 |
* Aij = Aij / Bij
|
|
|
812 |
* @param mixed $B Matrix/Array
|
|
|
813 |
* @return Matrix Matrix Aij
|
|
|
814 |
*/
|
|
|
815 |
public function arrayLeftDivideEquals() {
|
|
|
816 |
if (func_num_args() > 0) {
|
|
|
817 |
$args = func_get_args();
|
|
|
818 |
$match = implode(",", array_map('gettype', $args));
|
|
|
819 |
|
|
|
820 |
switch($match) {
|
|
|
821 |
case 'object':
|
|
|
822 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
823 |
break;
|
|
|
824 |
case 'array':
|
|
|
825 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
826 |
break;
|
|
|
827 |
default:
|
|
|
828 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
829 |
break;
|
|
|
830 |
}
|
|
|
831 |
$this->checkMatrixDimensions($M);
|
|
|
832 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
833 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
834 |
$this->A[$i][$j] = $M->get($i, $j) / $this->A[$i][$j];
|
|
|
835 |
}
|
|
|
836 |
}
|
|
|
837 |
return $M;
|
|
|
838 |
} else {
|
|
|
839 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
840 |
}
|
|
|
841 |
} // function arrayLeftDivideEquals()
|
|
|
842 |
|
|
|
843 |
|
|
|
844 |
/**
|
|
|
845 |
* times
|
|
|
846 |
*
|
|
|
847 |
* Matrix multiplication
|
|
|
848 |
* @param mixed $n Matrix/Array/Scalar
|
|
|
849 |
* @return Matrix Product
|
|
|
850 |
*/
|
|
|
851 |
public function times() {
|
|
|
852 |
if (func_num_args() > 0) {
|
|
|
853 |
$args = func_get_args();
|
|
|
854 |
$match = implode(",", array_map('gettype', $args));
|
|
|
855 |
|
|
|
856 |
switch($match) {
|
|
|
857 |
case 'object':
|
|
|
858 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $B = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
859 |
if ($this->n == $B->m) {
|
|
|
860 |
$C = new PHPExcel_Shared_JAMA_Matrix($this->m, $B->n);
|
|
|
861 |
for($j = 0; $j < $B->n; ++$j) {
|
|
|
862 |
for ($k = 0; $k < $this->n; ++$k) {
|
|
|
863 |
$Bcolj[$k] = $B->A[$k][$j];
|
|
|
864 |
}
|
|
|
865 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
866 |
$Arowi = $this->A[$i];
|
|
|
867 |
$s = 0;
|
|
|
868 |
for($k = 0; $k < $this->n; ++$k) {
|
|
|
869 |
$s += $Arowi[$k] * $Bcolj[$k];
|
|
|
870 |
}
|
|
|
871 |
$C->A[$i][$j] = $s;
|
|
|
872 |
}
|
|
|
873 |
}
|
|
|
874 |
return $C;
|
|
|
875 |
} else {
|
|
|
876 |
throw new PHPExcel_Calculation_Exception(JAMAError(MatrixDimensionMismatch));
|
|
|
877 |
}
|
|
|
878 |
break;
|
|
|
879 |
case 'array':
|
|
|
880 |
$B = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
881 |
if ($this->n == $B->m) {
|
|
|
882 |
$C = new PHPExcel_Shared_JAMA_Matrix($this->m, $B->n);
|
|
|
883 |
for($i = 0; $i < $C->m; ++$i) {
|
|
|
884 |
for($j = 0; $j < $C->n; ++$j) {
|
|
|
885 |
$s = "0";
|
|
|
886 |
for($k = 0; $k < $C->n; ++$k) {
|
|
|
887 |
$s += $this->A[$i][$k] * $B->A[$k][$j];
|
|
|
888 |
}
|
|
|
889 |
$C->A[$i][$j] = $s;
|
|
|
890 |
}
|
|
|
891 |
}
|
|
|
892 |
return $C;
|
|
|
893 |
} else {
|
|
|
894 |
throw new PHPExcel_Calculation_Exception(JAMAError(MatrixDimensionMismatch));
|
|
|
895 |
}
|
|
|
896 |
return $M;
|
|
|
897 |
break;
|
|
|
898 |
case 'integer':
|
|
|
899 |
$C = new PHPExcel_Shared_JAMA_Matrix($this->A);
|
|
|
900 |
for($i = 0; $i < $C->m; ++$i) {
|
|
|
901 |
for($j = 0; $j < $C->n; ++$j) {
|
|
|
902 |
$C->A[$i][$j] *= $args[0];
|
|
|
903 |
}
|
|
|
904 |
}
|
|
|
905 |
return $C;
|
|
|
906 |
break;
|
|
|
907 |
case 'double':
|
|
|
908 |
$C = new PHPExcel_Shared_JAMA_Matrix($this->m, $this->n);
|
|
|
909 |
for($i = 0; $i < $C->m; ++$i) {
|
|
|
910 |
for($j = 0; $j < $C->n; ++$j) {
|
|
|
911 |
$C->A[$i][$j] = $args[0] * $this->A[$i][$j];
|
|
|
912 |
}
|
|
|
913 |
}
|
|
|
914 |
return $C;
|
|
|
915 |
break;
|
|
|
916 |
case 'float':
|
|
|
917 |
$C = new PHPExcel_Shared_JAMA_Matrix($this->A);
|
|
|
918 |
for($i = 0; $i < $C->m; ++$i) {
|
|
|
919 |
for($j = 0; $j < $C->n; ++$j) {
|
|
|
920 |
$C->A[$i][$j] *= $args[0];
|
|
|
921 |
}
|
|
|
922 |
}
|
|
|
923 |
return $C;
|
|
|
924 |
break;
|
|
|
925 |
default:
|
|
|
926 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
927 |
break;
|
|
|
928 |
}
|
|
|
929 |
} else {
|
|
|
930 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
931 |
}
|
|
|
932 |
} // function times()
|
|
|
933 |
|
|
|
934 |
|
|
|
935 |
/**
|
|
|
936 |
* power
|
|
|
937 |
*
|
|
|
938 |
* A = A ^ B
|
|
|
939 |
* @param mixed $B Matrix/Array
|
|
|
940 |
* @return Matrix Sum
|
|
|
941 |
*/
|
|
|
942 |
public function power() {
|
|
|
943 |
if (func_num_args() > 0) {
|
|
|
944 |
$args = func_get_args();
|
|
|
945 |
$match = implode(",", array_map('gettype', $args));
|
|
|
946 |
|
|
|
947 |
switch($match) {
|
|
|
948 |
case 'object':
|
|
|
949 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
950 |
break;
|
|
|
951 |
case 'array':
|
|
|
952 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
953 |
break;
|
|
|
954 |
default:
|
|
|
955 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
956 |
break;
|
|
|
957 |
}
|
|
|
958 |
$this->checkMatrixDimensions($M);
|
|
|
959 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
960 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
961 |
$validValues = True;
|
|
|
962 |
$value = $M->get($i, $j);
|
|
|
963 |
if ((is_string($this->A[$i][$j])) && (strlen($this->A[$i][$j]) > 0) && (!is_numeric($this->A[$i][$j]))) {
|
|
|
964 |
$this->A[$i][$j] = trim($this->A[$i][$j],'"');
|
|
|
965 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($this->A[$i][$j]);
|
|
|
966 |
}
|
|
|
967 |
if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
|
|
|
968 |
$value = trim($value,'"');
|
|
|
969 |
$validValues &= PHPExcel_Shared_String::convertToNumberIfFraction($value);
|
|
|
970 |
}
|
|
|
971 |
if ($validValues) {
|
|
|
972 |
$this->A[$i][$j] = pow($this->A[$i][$j],$value);
|
|
|
973 |
} else {
|
|
|
974 |
$this->A[$i][$j] = PHPExcel_Calculation_Functions::NaN();
|
|
|
975 |
}
|
|
|
976 |
}
|
|
|
977 |
}
|
|
|
978 |
return $this;
|
|
|
979 |
} else {
|
|
|
980 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
981 |
}
|
|
|
982 |
} // function power()
|
|
|
983 |
|
|
|
984 |
|
|
|
985 |
/**
|
|
|
986 |
* concat
|
|
|
987 |
*
|
|
|
988 |
* A = A & B
|
|
|
989 |
* @param mixed $B Matrix/Array
|
|
|
990 |
* @return Matrix Sum
|
|
|
991 |
*/
|
|
|
992 |
public function concat() {
|
|
|
993 |
if (func_num_args() > 0) {
|
|
|
994 |
$args = func_get_args();
|
|
|
995 |
$match = implode(",", array_map('gettype', $args));
|
|
|
996 |
|
|
|
997 |
switch($match) {
|
|
|
998 |
case 'object':
|
|
|
999 |
if ($args[0] instanceof PHPExcel_Shared_JAMA_Matrix) { $M = $args[0]; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException); }
|
|
|
1000 |
case 'array':
|
|
|
1001 |
$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);
|
|
|
1002 |
break;
|
|
|
1003 |
default:
|
|
|
1004 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
1005 |
break;
|
|
|
1006 |
}
|
|
|
1007 |
$this->checkMatrixDimensions($M);
|
|
|
1008 |
for($i = 0; $i < $this->m; ++$i) {
|
|
|
1009 |
for($j = 0; $j < $this->n; ++$j) {
|
|
|
1010 |
$this->A[$i][$j] = trim($this->A[$i][$j],'"').trim($M->get($i, $j),'"');
|
|
|
1011 |
}
|
|
|
1012 |
}
|
|
|
1013 |
return $this;
|
|
|
1014 |
} else {
|
|
|
1015 |
throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);
|
|
|
1016 |
}
|
|
|
1017 |
} // function concat()
|
|
|
1018 |
|
|
|
1019 |
|
|
|
1020 |
/**
|
|
|
1021 |
* Solve A*X = B.
|
|
|
1022 |
*
|
|
|
1023 |
* @param Matrix $B Right hand side
|
|
|
1024 |
* @return Matrix ... Solution if A is square, least squares solution otherwise
|
|
|
1025 |
*/
|
|
|
1026 |
public function solve($B) {
|
|
|
1027 |
if ($this->m == $this->n) {
|
|
|
1028 |
$LU = new PHPExcel_Shared_JAMA_LUDecomposition($this);
|
|
|
1029 |
return $LU->solve($B);
|
|
|
1030 |
} else {
|
|
|
1031 |
$QR = new QRDecomposition($this);
|
|
|
1032 |
return $QR->solve($B);
|
|
|
1033 |
}
|
|
|
1034 |
} // function solve()
|
|
|
1035 |
|
|
|
1036 |
|
|
|
1037 |
/**
|
|
|
1038 |
* Matrix inverse or pseudoinverse.
|
|
|
1039 |
*
|
|
|
1040 |
* @return Matrix ... Inverse(A) if A is square, pseudoinverse otherwise.
|
|
|
1041 |
*/
|
|
|
1042 |
public function inverse() {
|
|
|
1043 |
return $this->solve($this->identity($this->m, $this->m));
|
|
|
1044 |
} // function inverse()
|
|
|
1045 |
|
|
|
1046 |
|
|
|
1047 |
/**
|
|
|
1048 |
* det
|
|
|
1049 |
*
|
|
|
1050 |
* Calculate determinant
|
|
|
1051 |
* @return float Determinant
|
|
|
1052 |
*/
|
|
|
1053 |
public function det() {
|
|
|
1054 |
$L = new PHPExcel_Shared_JAMA_LUDecomposition($this);
|
|
|
1055 |
return $L->det();
|
|
|
1056 |
} // function det()
|
|
|
1057 |
|
|
|
1058 |
|
|
|
1059 |
} // class PHPExcel_Shared_JAMA_Matrix
|