<?php

/**

 * @package JAMA

 */



/** PHPExcel root directory */

if (!defined('PHPEXCEL_ROOT')) {

	/**

	 * @ignore

	 */

	define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../../../');

	require(PHPEXCEL_ROOT . 'PHPExcel/Autoloader.php');

}





/*

 *	Matrix class

 *

 *	@author Paul Meagher

 *	@author Michael Bommarito

 *	@author Lukasz Karapuda

 *	@author Bartek Matosiuk

 *	@version 1.8

 *	@license PHP v3.0

 *	@see http://math.nist.gov/javanumerics/jama/

 */

class PHPExcel_Shared_JAMA_Matrix {





	const PolymorphicArgumentException	= "Invalid argument pattern for polymorphic function.";

	const ArgumentTypeException			= "Invalid argument type.";

	const ArgumentBoundsException		= "Invalid argument range.";

	const MatrixDimensionException		= "Matrix dimensions are not equal.";

	const ArrayLengthException			= "Array length must be a multiple of m.";



	/**

	 *	Matrix storage

	 *

	 *	@var array

	 *	@access public

	 */

	public $A = array();



	/**

	 *	Matrix row dimension

	 *

	 *	@var int

	 *	@access private

	 */

	private $m;



	/**

	 *	Matrix column dimension

	 *

	 *	@var int

	 *	@access private

	 */

	private $n;





	/**

	 *	Polymorphic constructor

	 *

	 *	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.

	 */

	public function __construct() {

		if (func_num_args() > 0) {

			$args = func_get_args();

			$match = implode(",", array_map('gettype', $args));



			switch($match) {

				//Rectangular matrix - m x n initialized from 2D array

				case 'array':

						$this->m = count($args[0]);

						$this->n = count($args[0][0]);

						$this->A = $args[0];

						break;

				//Square matrix - n x n

				case 'integer':

						$this->m = $args[0];

						$this->n = $args[0];

						$this->A = array_fill(0, $this->m, array_fill(0, $this->n, 0));

						break;

				//Rectangular matrix - m x n

				case 'integer,integer':

						$this->m = $args[0];

						$this->n = $args[1];

						$this->A = array_fill(0, $this->m, array_fill(0, $this->n, 0));

						break;

				//Rectangular matrix - m x n initialized from packed array

				case 'array,integer':

						$this->m = $args[1];

						if ($this->m != 0) {

							$this->n = count($args[0]) / $this->m;

						} else {

							$this->n = 0;

						}

						if (($this->m * $this->n) == count($args[0])) {

							for($i = 0; $i < $this->m; ++$i) {

								for($j = 0; $j < $this->n; ++$j) {

									$this->A[$i][$j] = $args[0][$i + $j * $this->m];

								}

							}

						} else {

							throw new PHPExcel_Calculation_Exception(self::ArrayLengthException);

						}

						break;

				default:

						throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);

						break;

			}

		} else {

			throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);

		}

	}	//	function __construct()





	/**

	 *	getArray

	 *

	 *	@return array Matrix array

	 */

	public function getArray() {

		return $this->A;

	}	//	function getArray()





	/**

	 *	getRowDimension

	 *

	 *	@return int Row dimension

	 */

	public function getRowDimension() {

		return $this->m;

	}	//	function getRowDimension()





	/**

	 *	getColumnDimension

	 *

	 *	@return int Column dimension

	 */

	public function getColumnDimension() {

		return $this->n;

	}	//	function getColumnDimension()





	/**

	 *	get

	 *

	 *	Get the i,j-th element of the matrix.

	 *	@param int $i Row position

	 *	@param int $j Column position

	 *	@return mixed Element (int/float/double)

	 */

	public function get($i = null, $j = null) {

		return $this->A[$i][$j];

	}	//	function get()





	/**

	 *	getMatrix

	 *

	 *	Get a submatrix

	 *	@param int $i0 Initial row index

	 *	@param int $iF Final row index

	 *	@param int $j0 Initial column index

	 *	@param int $jF Final column index

	 *	@return Matrix Submatrix

	 */

	public function getMatrix() {

		if (func_num_args() > 0) {

			$args = func_get_args();

			$match = implode(",", array_map('gettype', $args));



			switch($match) {

				//A($i0...; $j0...)

				case 'integer,integer':

						list($i0, $j0) = $args;

						if ($i0 >= 0) { $m = $this->m - $i0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						if ($j0 >= 0) { $n = $this->n - $j0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);

						for($i = $i0; $i < $this->m; ++$i) {

							for($j = $j0; $j < $this->n; ++$j) {

								$R->set($i, $j, $this->A[$i][$j]);

							}

						}

						return $R;

						break;

				//A($i0...$iF; $j0...$jF)

				case 'integer,integer,integer,integer':

						list($i0, $iF, $j0, $jF) = $args;

						if (($iF > $i0) && ($this->m >= $iF) && ($i0 >= 0)) { $m = $iF - $i0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						if (($jF > $j0) && ($this->n >= $jF) && ($j0 >= 0)) { $n = $jF - $j0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						$R = new PHPExcel_Shared_JAMA_Matrix($m+1, $n+1);

						for($i = $i0; $i <= $iF; ++$i) {

							for($j = $j0; $j <= $jF; ++$j) {

								$R->set($i - $i0, $j - $j0, $this->A[$i][$j]);

							}

						}

						return $R;

						break;

				//$R = array of row indices; $C = array of column indices

				case 'array,array':

						list($RL, $CL) = $args;

						if (count($RL) > 0) { $m = count($RL); } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						if (count($CL) > 0) { $n = count($CL); } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);

						for($i = 0; $i < $m; ++$i) {

							for($j = 0; $j < $n; ++$j) {

								$R->set($i - $i0, $j - $j0, $this->A[$RL[$i]][$CL[$j]]);

							}

						}

						return $R;

						break;

				//$RL = array of row indices; $CL = array of column indices

				case 'array,array':

						list($RL, $CL) = $args;

						if (count($RL) > 0) { $m = count($RL); } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						if (count($CL) > 0) { $n = count($CL); } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);

						for($i = 0; $i < $m; ++$i) {

							for($j = 0; $j < $n; ++$j) {

								$R->set($i, $j, $this->A[$RL[$i]][$CL[$j]]);

							}

						}

						return $R;

						break;

				//A($i0...$iF); $CL = array of column indices

				case 'integer,integer,array':

						list($i0, $iF, $CL) = $args;

						if (($iF > $i0) && ($this->m >= $iF) && ($i0 >= 0)) { $m = $iF - $i0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						if (count($CL) > 0) { $n = count($CL); } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);

						for($i = $i0; $i < $iF; ++$i) {

							for($j = 0; $j < $n; ++$j) {

								$R->set($i - $i0, $j, $this->A[$RL[$i]][$j]);

							}

						}

						return $R;

						break;

				//$RL = array of row indices

				case 'array,integer,integer':

						list($RL, $j0, $jF) = $args;

						if (count($RL) > 0) { $m = count($RL); } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						if (($jF >= $j0) && ($this->n >= $jF) && ($j0 >= 0)) { $n = $jF - $j0; } else { throw new PHPExcel_Calculation_Exception(self::ArgumentBoundsException); }

						$R = new PHPExcel_Shared_JAMA_Matrix($m, $n+1);

						for($i = 0; $i < $m; ++$i) {

							for($j = $j0; $j <= $jF; ++$j) {

								$R->set($i, $j - $j0, $this->A[$RL[$i]][$j]);

							}

						}

						return $R;

						break;

				default:

						throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);

						break;

			}

		} else {

			throw new PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);

		}

	}	//	function getMatrix()





	/**

	 *	checkMatrixDimensions

	 *

	 *	Is matrix B the same size?

	 *	@param Matrix $B Matrix B

	 *	@return boolean

	 */

	public function checkMatrixDimensions($B = null) {

		if ($B instanceof PHPExcel_Shared_JAMA_Matrix) {

			if (($this->m == $B->getRowDimension()) && ($this->n == $B->getColumnDimension())) {

				return true;

			} else {

				throw new PHPExcel_Calculation_Exception(self::MatrixDimensionException);

			}

		} else {

			throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException);

		}

	}	//	function checkMatrixDimensions()







	/**

	 *	set

	 *

	 *	Set the i,j-th element of the matrix.

	 *	@param int $i Row position

	 *	@param int $j Column position

	 *	@param mixed $c Int/float/double value

	 *	@return mixed Element (int/float/double)

	 */

	public function set($i = null, $j = null, $c = null) {

		// Optimized set version just has this

		$this->A[$i][$j] = $c;

	}	//	function set()





	/**

	 *	identity

	 *

	 *	Generate an identity matrix.

	 *	@param int $m Row dimension

	 *	@param int $n Column dimension

	 *	@return Matrix Identity matrix

	 */

	public function identity($m = null, $n = null) {

		return $this->diagonal($m, $n, 1);

	}	//	function identity()





	/**

	 *	diagonal

	 *

	 *	Generate a diagonal matrix

	 *	@param int $m Row dimension

	 *	@param int $n Column dimension

	 *	@param mixed $c Diagonal value

	 *	@return Matrix Diagonal matrix

	 */

	public function diagonal($m = null, $n = null, $c = 1) {

		$R = new PHPExcel_Shared_JAMA_Matrix($m, $n);

		for($i = 0; $i < $m; ++$i) {

			$R->set($i, $i, $c);

		}

		return $R;

	}	//	function diagonal()





	/**

	 *	getMatrixByRow

	 *

	 *	Get a submatrix by row index/range

	 *	@param int $i0 Initial row index

	 *	@param int $iF Final row index

	 *	@return Matrix Submatrix

	 */

	public function getMatrixByRow($i0 = null, $iF = null) {

		if (is_int($i0)) {

			if (is_int($iF)) {

				return $this->getMatrix($i0, 0, $iF + 1, $this->n);

			} else {

				return $this->getMatrix($i0, 0, $i0 + 1, $this->n);

			}

		} else {

			throw new PHPExcel_Calculation_Exception(self::ArgumentTypeException);

		}

	}	//	function getMatrixByRow()





	/**

	 *	getMatrixByCol

	 *

	 *	Get a submatrix by column index/range

	 *	@param int $i0 Initial column index

	 *	@param int $iF Final column index

	 *	@return Matrix Submatrix

	 */

	public function getMatrixByCol($j0 = null, $jF = null) {

		if (is_int($j0)) {

			if (is_int($jF)) {

				return $this->getMatrix(0, $j0, $this->m, $jF + 1);

			} else {

				return $this->getMatrix(0, $j0, $this->m, $j0 + 1);

			}

		} else {

			throw new PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::PolymorphicArgumentException);

						break;

			}

		} else {

			throw new PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

						break;

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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 PHPExcel_Calculation_Exception(self::ArgumentTypeException); }

				case 'array':

						$M = new PHPExcel_Shared_JAMA_Matrix($args[0]);

						break;

				default:

						throw new PHPExcel_Calculation_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 PHPExcel_Calculation_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

