/**
* @inheritDoc
*/
public function derive(NumericMatrix $mA, $extra = null)
{
if ($mA->is('empty')) {
return TypeFactory::createInt(0);
}
if ($mA->is('singleitem')) {
return $mA->get(1, 1);
}
$calc = new Calculator();
return array_reduce($mA->toArray(), function ($c1, $row) use($calc) {
return array_reduce($row, function ($carry, $item) use($calc) {
return $calc->add($item, $carry);
}, $c1);
}, TypeFactory::createInt(0));
}
/**
* Find the derivative
*
* @param NumericMatrix $mA
* @param IntType $extra The current row to find the next weighted random row from
*
* @throws MathMatrixException
* @throws NotMarkovException
*
* @return IntType
*/
public function derive(NumericMatrix $mA, $extra = null)
{
if (!$mA->is('Markov')) {
throw new NotMarkovException();
}
if (!$extra instanceof IntType) {
throw new MathMatrixException('The extra parameter is not an IntType');
}
$this->comp = new Comparator();
$this->calc = new Calculator();
$this->zero = TypeFactory::createInt(0);
return $this->nextWeightedRandom($mA, $extra);
}
/**
* Find tr(M)
*
* @param NumericMatrix $mA
* @param mixed $extra
* @return numeric
*
* @throws Chippyash/Math/Matrix/Exceptions/UndefinedComputationException
*/
public function derive(NumericMatrix $mA, $extra = null)
{
if ($mA->is('singleitem')) {
return $mA->get(1, 1);
}
$this->assertMatrixIsNotEmpty($mA, 'No trace for empty matrix')->assertMatrixIsSquare($mA, 'No trace for non-square matrix');
$tr = new FloatType(0);
$size = $mA->rows();
$data = $mA->toArray();
$calc = new Calculator();
for ($x = 0; $x < $size; $x++) {
$tr = $calc->add($tr, $data[$x][$x]);
}
return $tr;
}
/**
* Divide a mtix by another
*
* @param NumericMatrix $mA First matrix operand - required
* @param NumericMatrix $extra Second Matrix operand - required
*
* @return NumericMatrix
*/
public function compute(NumericMatrix $mA, $extra = null)
{
$this->assertParameterIsMatrix($extra, 'Parameter is not a matrix');
if ($mA->is('empty')) {
$mA = $this->createCorrectMatrixType($mA, [1]);
}
if ($extra->is('empty')) {
$extra = $this->createCorrectMatrixType($extra, [1]);
}
$this->assertMatrixColumnsAreEqual($mA, $extra)->assertMatrixRowsAreEqual($mA, $extra);
$fI = new Invert();
$mI = $fI->transform($extra);
$mul = new MM();
return $mul($mA, $mI);
}
/**
* Multiply each member of the matrix by single scalar value and return result
* Boolean values are converted to 0 (false) and 1 (true). Use the logical
* computations if required.
* String values must conform to the requirements of a rational string number
* i.e. '2/3', else an exception will be thrown
*
* @param Matrix $mA First matrix to act on - required
* @param scalar $extra value to add
*
* @return Matrix
*
* @throws Chippyash/Matrix/Exceptions/ComputationException
*/
public function compute(NumericMatrix $mA, $extra = null)
{
if ($mA->is('empty')) {
return $this->createCorrectMatrixType($mA);
}
$scalar = $this->createCorrectScalarType($mA, $extra);
$data = $mA->toArray();
$lx = $mA->columns();
$ly = $mA->rows();
$calc = new Calculator();
for ($row = 0; $row < $ly; $row++) {
for ($col = 0; $col < $lx; $col++) {
$data[$row][$col] = $calc->mul($data[$row][$col], $scalar);
}
}
return $this->createCorrectMatrixType($mA, $data);
}
/**
* @inheritDoc
*/
public function compute(NumericMatrix $mA, $extra = null)
{
$this->assertParameterIsMatrix($extra, 'Parameter is not a matrix');
if ($mA->is('empty') || $extra->is('empty')) {
return $this->createCorrectMatrixType($mA, []);
}
$this->assertMatrixColumnsAreEqual($mA, $extra)->assertMatrixRowsAreEqual($mA, $extra);
$data = (new ZMatrix())->create([$mA->rows(), $mA->columns()])->toArray();
$dA = $mA->toArray();
$dB = $extra->toArray();
$cols = $mA->columns();
$rows = $mA->rows();
$calc = new Calculator();
for ($row = 0; $row < $rows; $row++) {
for ($col = 0; $col < $cols; $col++) {
$data[$row][$col] = $this->doCompute($dA[$row][$col], $dB[$row][$col], $calc);
}
}
return $this->createCorrectMatrixType($mA, $data);
}
/**
* Massage where mA is rectangle
* @param \Chippyash\Math\Matrix\NumericMatrix $mA
* @param \Chippyash\Math\Matrix\NumericMatrix $mB
* @param array $product
* @return \Chippyash\Math\Matrix\NumericMatrix
*/
protected function massageRectangle(NumericMatrix $mA, NumericMatrix $mB, array $product)
{
if ($mB->is('rectangle') && $mA->rows() < $mB->rows()) {
return $this->createCorrectMatrixType($mA, [[$product[0][0], $product[0][1]], [$product[1][0], $product[1][1]]]);
}
return $this->createCorrectMatrixType($mA, $product);
}
/**
* Set determinant of original matrix if it is square
*/
protected function setDeterminant(NumericMatrix $mA)
{
if (!$mA->is('square')) {
//determinant undefined for non square matrix
$this->set('Det', null);
return;
}
if ($mA->is('empty')) {
$this->set('Det', $this->createCorrectScalarType($mA, 1));
return;
}
$det = $this->createCorrectScalarType($mA, $this->pivsign);
$LU = $this->LU->toArray();
$calc = new Calculator();
$this->set('Det', function () use($det, $LU, $calc) {
$c = count($LU);
for ($j = 0; $j < $c; $j++) {
$det = $calc->mul($det, $LU[$j][$j]);
}
return $det;
});
}