diff options
Diffstat (limited to '')
| -rw-r--r-- | vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Shared/JAMA/Matrix.php | 1202 |
1 files changed, 1202 insertions, 0 deletions
diff --git a/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Shared/JAMA/Matrix.php b/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Shared/JAMA/Matrix.php new file mode 100644 index 0000000..fc815f6 --- /dev/null +++ b/vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Shared/JAMA/Matrix.php @@ -0,0 +1,1202 @@ +<?php
+
+namespace PhpOffice\PhpSpreadsheet\Shared\JAMA;
+
+use PhpOffice\PhpSpreadsheet\Calculation\Exception as CalculationException;
+use PhpOffice\PhpSpreadsheet\Calculation\Functions;
+use PhpOffice\PhpSpreadsheet\Shared\StringHelper;
+
+/**
+ * Matrix class.
+ *
+ * @author Paul Meagher
+ * @author Michael Bommarito
+ * @author Lukasz Karapuda
+ * @author Bartek Matosiuk
+ *
+ * @version 1.8
+ *
+ * @see https://math.nist.gov/javanumerics/jama/
+ */
+class Matrix
+{
+ const POLYMORPHIC_ARGUMENT_EXCEPTION = 'Invalid argument pattern for polymorphic function.';
+ const ARGUMENT_TYPE_EXCEPTION = 'Invalid argument type.';
+ const ARGUMENT_BOUNDS_EXCEPTION = 'Invalid argument range.';
+ const MATRIX_DIMENSION_EXCEPTION = 'Matrix dimensions are not equal.';
+ const ARRAY_LENGTH_EXCEPTION = 'Array length must be a multiple of m.';
+ const MATRIX_SPD_EXCEPTION = 'Can only perform operation on symmetric positive definite matrix.';
+
+ /**
+ * Matrix storage.
+ *
+ * @var array
+ */
+ public $A = [];
+
+ /**
+ * Matrix row dimension.
+ *
+ * @var int
+ */
+ private $m;
+
+ /**
+ * Matrix column dimension.
+ *
+ * @var int
+ */
+ private $n;
+
+ /**
+ * Polymorphic constructor.
+ *
+ * As PHP has no support for polymorphic constructors, we use tricks to make our own sort of polymorphism using func_num_args, func_get_arg, and gettype. In essence, we're just implementing a simple RTTI filter and calling the appropriate constructor.
+ */
+ public function __construct(...$args)
+ {
+ if (count($args) > 0) {
+ $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 CalculationException(self::ARRAY_LENGTH_EXCEPTION);
+ }
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ break;
+ }
+ } else {
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+ }
+
+ /**
+ * getArray.
+ *
+ * @return array Matrix array
+ */
+ public function getArray()
+ {
+ return $this->A;
+ }
+
+ /**
+ * getRowDimension.
+ *
+ * @return int Row dimension
+ */
+ public function getRowDimension()
+ {
+ return $this->m;
+ }
+
+ /**
+ * getColumnDimension.
+ *
+ * @return int Column dimension
+ */
+ public function getColumnDimension()
+ {
+ return $this->n;
+ }
+
+ /**
+ * 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][$j];
+ }
+
+ /**
+ * getMatrix.
+ *
+ * Get a submatrix
+ *
+ * @return Matrix Submatrix
+ */
+ public function getMatrix(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ //A($i0...; $j0...)
+ case 'integer,integer':
+ [$i0, $j0] = $args;
+ if ($i0 >= 0) {
+ $m = $this->m - $i0;
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ if ($j0 >= 0) {
+ $n = $this->n - $j0;
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ $R = new self($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':
+ [$i0, $iF, $j0, $jF] = $args;
+ if (($iF > $i0) && ($this->m >= $iF) && ($i0 >= 0)) {
+ $m = $iF - $i0;
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ if (($jF > $j0) && ($this->n >= $jF) && ($j0 >= 0)) {
+ $n = $jF - $j0;
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ $R = new self($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; $C = array of column indices
+ case 'array,array':
+ [$RL, $CL] = $args;
+ if (count($RL) > 0) {
+ $m = count($RL);
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ if (count($CL) > 0) {
+ $n = count($CL);
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ $R = new self($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); $CL = array of column indices
+ case 'integer,integer,array':
+ [$i0, $iF, $CL] = $args;
+ if (($iF > $i0) && ($this->m >= $iF) && ($i0 >= 0)) {
+ $m = $iF - $i0;
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ if (count($CL) > 0) {
+ $n = count($CL);
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ $R = new self($m, $n);
+ for ($i = $i0; $i < $iF; ++$i) {
+ for ($j = 0; $j < $n; ++$j) {
+ $R->set($i - $i0, $j, $this->A[$i][$CL[$j]]);
+ }
+ }
+
+ return $R;
+
+ break;
+ //$RL = array of row indices
+ case 'array,integer,integer':
+ [$RL, $j0, $jF] = $args;
+ if (count($RL) > 0) {
+ $m = count($RL);
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ if (($jF >= $j0) && ($this->n >= $jF) && ($j0 >= 0)) {
+ $n = $jF - $j0;
+ } else {
+ throw new CalculationException(self::ARGUMENT_BOUNDS_EXCEPTION);
+ }
+ $R = new self($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 CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ break;
+ }
+ } else {
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+ }
+
+ /**
+ * checkMatrixDimensions.
+ *
+ * Is matrix B the same size?
+ *
+ * @param Matrix $B Matrix B
+ *
+ * @return bool
+ */
+ public function checkMatrixDimensions($B = null)
+ {
+ if ($B instanceof self) {
+ if (($this->m == $B->getRowDimension()) && ($this->n == $B->getColumnDimension())) {
+ return true;
+ }
+
+ throw new CalculationException(self::MATRIX_DIMENSION_EXCEPTION);
+ }
+
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ // 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);
+ }
+
+ /**
+ * 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)
+ {
+ $R = new self($m, $n);
+ for ($i = 0; $i < $m; ++$i) {
+ $R->set($i, $i, $c);
+ }
+
+ return $R;
+ }
+
+ /**
+ * 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);
+ }
+
+ return $this->getMatrix($i0, 0, $i0 + 1, $this->n);
+ }
+
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ /**
+ * getMatrixByCol.
+ *
+ * Get a submatrix by column index/range
+ *
+ * @param int $j0 Initial column index
+ * @param int $jF Final column index
+ *
+ * @return Matrix Submatrix
+ */
+ public function getMatrixByCol($j0 = null, $jF = null)
+ {
+ if (is_int($j0)) {
+ if (is_int($jF)) {
+ return $this->getMatrix(0, $j0, $this->m, $jF + 1);
+ }
+
+ return $this->getMatrix(0, $j0, $this->m, $j0 + 1);
+ }
+
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ /**
+ * transpose.
+ *
+ * Tranpose matrix
+ *
+ * @return Matrix Transposed matrix
+ */
+ public function transpose()
+ {
+ $R = new self($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 $s;
+ }
+
+ /**
+ * uminus.
+ *
+ * Unary minus matrix -A
+ *
+ * @return Matrix Unary minus matrix
+ */
+ public function uminus()
+ {
+ }
+
+ /**
+ * plus.
+ *
+ * A + B
+ *
+ * @return Matrix Sum
+ */
+ public function plus(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * plusEquals.
+ *
+ * A = A + B
+ *
+ * @return $this
+ */
+ public function plusEquals(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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], '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]);
+ }
+ if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
+ $value = trim($value, '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($value);
+ }
+ if ($validValues) {
+ $this->A[$i][$j] += $value;
+ } else {
+ $this->A[$i][$j] = Functions::NAN();
+ }
+ }
+ }
+
+ return $this;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * minus.
+ *
+ * A - B
+ *
+ * @return Matrix Sum
+ */
+ public function minus(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * minusEquals.
+ *
+ * A = A - B
+ *
+ * @return $this
+ */
+ public function minusEquals(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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], '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]);
+ }
+ if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
+ $value = trim($value, '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($value);
+ }
+ if ($validValues) {
+ $this->A[$i][$j] -= $value;
+ } else {
+ $this->A[$i][$j] = Functions::NAN();
+ }
+ }
+ }
+
+ return $this;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * arrayTimes.
+ *
+ * Element-by-element multiplication
+ * Cij = Aij * Bij
+ *
+ * @return Matrix Matrix Cij
+ */
+ public function arrayTimes(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * arrayTimesEquals.
+ *
+ * Element-by-element multiplication
+ * Aij = Aij * Bij
+ *
+ * @return $this
+ */
+ public function arrayTimesEquals(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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], '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]);
+ }
+ if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
+ $value = trim($value, '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($value);
+ }
+ if ($validValues) {
+ $this->A[$i][$j] *= $value;
+ } else {
+ $this->A[$i][$j] = Functions::NAN();
+ }
+ }
+ }
+
+ return $this;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * arrayRightDivide.
+ *
+ * Element-by-element right division
+ * A / B
+ *
+ * @return Matrix Division result
+ */
+ public function arrayRightDivide(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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], '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]);
+ }
+ if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
+ $value = trim($value, '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($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, Functions::NAN());
+ }
+ }
+ }
+
+ return $M;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * arrayRightDivideEquals.
+ *
+ * Element-by-element right division
+ * Aij = Aij / Bij
+ *
+ * @return Matrix Matrix Aij
+ */
+ public function arrayRightDivideEquals(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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 $M;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * arrayLeftDivide.
+ *
+ * Element-by-element Left division
+ * A / B
+ *
+ * @return Matrix Division result
+ */
+ public function arrayLeftDivide(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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 $M;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * arrayLeftDivideEquals.
+ *
+ * Element-by-element Left division
+ * Aij = Aij / Bij
+ *
+ * @return Matrix Matrix Aij
+ */
+ public function arrayLeftDivideEquals(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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 $M;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * times.
+ *
+ * Matrix multiplication
+ *
+ * @return Matrix Product
+ */
+ public function times(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $B = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+ if ($this->n == $B->m) {
+ $C = new self($this->m, $B->n);
+ for ($j = 0; $j < $B->n; ++$j) {
+ $Bcolj = [];
+ for ($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;
+ }
+
+ throw new CalculationException(self::MATRIX_DIMENSION_EXCEPTION);
+ case 'array':
+ $B = new self($args[0]);
+ if ($this->n == $B->m) {
+ $C = new self($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;
+ }
+
+ throw new CalculationException(self::MATRIX_DIMENSION_EXCEPTION);
+ case 'integer':
+ $C = new self($this->A);
+ for ($i = 0; $i < $C->m; ++$i) {
+ for ($j = 0; $j < $C->n; ++$j) {
+ $C->A[$i][$j] *= $args[0];
+ }
+ }
+
+ return $C;
+ case 'double':
+ $C = new self($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;
+ case 'float':
+ $C = new self($this->A);
+ for ($i = 0; $i < $C->m; ++$i) {
+ for ($j = 0; $j < $C->n; ++$j) {
+ $C->A[$i][$j] *= $args[0];
+ }
+ }
+
+ return $C;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+ } else {
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+ }
+
+ /**
+ * power.
+ *
+ * A = A ^ B
+ *
+ * @return $this
+ */
+ public function power(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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], '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($this->A[$i][$j]);
+ }
+ if ((is_string($value)) && (strlen($value) > 0) && (!is_numeric($value))) {
+ $value = trim($value, '"');
+ $validValues &= StringHelper::convertToNumberIfFraction($value);
+ }
+ if ($validValues) {
+ $this->A[$i][$j] = $this->A[$i][$j] ** $value;
+ } else {
+ $this->A[$i][$j] = Functions::NAN();
+ }
+ }
+ }
+
+ return $this;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * concat.
+ *
+ * A = A & B
+ *
+ * @return $this
+ */
+ public function concat(...$args)
+ {
+ if (count($args) > 0) {
+ $match = implode(',', array_map('gettype', $args));
+
+ switch ($match) {
+ case 'object':
+ if ($args[0] instanceof self) {
+ $M = $args[0];
+ } else {
+ throw new CalculationException(self::ARGUMENT_TYPE_EXCEPTION);
+ }
+
+ break;
+ case 'array':
+ $M = new self($args[0]);
+
+ break;
+ default:
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+
+ 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;
+ }
+
+ throw new CalculationException(self::POLYMORPHIC_ARGUMENT_EXCEPTION);
+ }
+
+ /**
+ * 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) {
+ $LU = new LUDecomposition($this);
+
+ return $LU->solve($B);
+ }
+ $QR = new QRDecomposition($this);
+
+ return $QR->solve($B);
+ }
+
+ /**
+ * 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));
+ }
+
+ /**
+ * det.
+ *
+ * Calculate determinant
+ *
+ * @return float Determinant
+ */
+ public function det()
+ {
+ $L = new LUDecomposition($this);
+
+ return $L->det();
+ }
+}
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