class PHPExcel_Shared_JAMA_Matrix in Loft Data Grids 6.2
Same name and namespace in other branches
- 7.2 vendor/phpoffice/phpexcel/Classes/PHPExcel/Shared/JAMA/Matrix.php \PHPExcel_Shared_JAMA_Matrix
Hierarchy
- class \PHPExcel_Shared_JAMA_Matrix
Expanded class hierarchy of PHPExcel_Shared_JAMA_Matrix
File
- vendor/
phpoffice/ phpexcel/ Classes/ PHPExcel/ Shared/ JAMA/ Matrix.php, line 27
View source
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 {
$QR = new PHPExcel_Shared_JAMA_QRDecomposition($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();
}
}
Members
Name | Modifiers | Type | Description | Overrides |
---|---|---|---|---|
PHPExcel_Shared_JAMA_Matrix:: |
public | property | * Matrix storage * * * @access public | |
PHPExcel_Shared_JAMA_Matrix:: |
private | property | * Matrix row dimension * * * @access private | |
PHPExcel_Shared_JAMA_Matrix:: |
private | property | * Matrix column dimension * * * @access private | |
PHPExcel_Shared_JAMA_Matrix:: |
constant | |||
PHPExcel_Shared_JAMA_Matrix:: |
constant | |||
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * arrayLeftDivide * * Element-by-element Left division * A / B * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * arrayLeftDivideEquals * * Element-by-element Left division * Aij = Aij / Bij * | |
PHPExcel_Shared_JAMA_Matrix:: |
constant | |||
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * arrayRightDivide * * Element-by-element right division * A / B * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * arrayRightDivideEquals * * Element-by-element right division * Aij = Aij / Bij * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * arrayTimes * * Element-by-element multiplication * Cij = Aij * Bij * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * arrayTimesEquals * * Element-by-element multiplication * Aij = Aij * Bij * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * checkMatrixDimensions * * Is matrix B the same size? * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * concat * * A = A & B * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * det * * Calculate determinant * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * diagonal * * Generate a diagonal matrix * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * get * * Get the i,j-th element of the matrix. * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * getArray * * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * getColumnDimension * * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * getMatrix * * Get a submatrix * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * getMatrixByCol * * Get a submatrix by column index/range * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * getMatrixByRow * * Get a submatrix by row index/range * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * getRowDimension * * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * identity * * Generate an identity matrix. * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * Matrix inverse or pseudoinverse. * * | |
PHPExcel_Shared_JAMA_Matrix:: |
constant | |||
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * minus * * A - B * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * minusEquals * * A = A - B * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * plus * * A + B * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * plusEquals * * A = A + B * | |
PHPExcel_Shared_JAMA_Matrix:: |
constant | |||
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * power * * A = A ^ B * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * set * * Set the i,j-th element of the matrix. * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * Solve A*X = B. * * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * times * * Matrix multiplication * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * trace * * Sum of diagonal elements * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * transpose * * Tranpose matrix * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * uminus * * Unary minus matrix -A * | |
PHPExcel_Shared_JAMA_Matrix:: |
public | function | * 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… |