JAMA

# Source for file Matrix.php Documentation is available at Matrix.php <?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 Exception(self::ArrayLengthException); } break; default: throw new Exception(self::PolymorphicArgumentException); break; } } else { throw new 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 - $i0; } else { throw new Exception(self::ArgumentBoundsException); } if ($j0 >= 0) { $n = $this->n - $j0; } else { throw new 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 - $i0; } else { throw new Exception(self::ArgumentBoundsException); } if (($jF > $j0) && ($this->n >= $jF) && ($j0 >= 0)) { $n = $jF - $j0; } else { throw new 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 Exception(self::ArgumentBoundsException); } if (count($CL) > 0) { $n = count($CL); } else { throw new 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 Exception(self::ArgumentBoundsException); } if (count($CL) > 0) { $n = count($CL); } else { throw new 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 - $i0; } else { throw new Exception(self::ArgumentBoundsException); } if (count($CL) > 0) { $n = count($CL); } else { throw new 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 Exception(self::ArgumentBoundsException); } if (($jF >= $j0) && ($this->n >= $jF) && ($j0 >= 0)) { $n = $jF - $j0; } else { throw new 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 Exception(self::PolymorphicArgumentException); break; } } else { throw new 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 Exception(self::MatrixDimensionException); } } else { throw new 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 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 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 Documentation generated on Sun, 27 Feb 2011 16:32:44 -0800 by phpDocumentor 1.4.3