/**
* @param Matrix $source
* @throws MatrixException
*/
private function decompose(Matrix $source)
{
$decompositionLiteral = $source->toArray();
if (!$source->isSquare()) {
throw new MatrixException('Operation can only be called on square matrix: ' . print_r($decompositionLiteral, true));
}
$size = $source->getRowCount();
for ($k = 0; $k < $size; $k++) {
for ($i = $k + 1; $i < $size; $i++) {
$decompositionLiteral[$i][$k] = $decompositionLiteral[$i][$k] / $decompositionLiteral[$k][$k];
}
for ($i = $k + 1; $i < $size; $i++) {
for ($j = $k + 1; $j < $size; $j++) {
$decompositionLiteral[$i][$j] = $decompositionLiteral[$i][$j] - $decompositionLiteral[$i][$k] * $decompositionLiteral[$k][$j];
}
}
}
$this->decomposition = new Matrix($decompositionLiteral);
}
/**
* @param Matrix $source
* @throws MatrixException
*/
private function decompose(Matrix $source)
{
$sourceLiteral = $source->toArray();
$decompositionLiteral = $sourceLiteral;
if (!$source->isSquare()) {
throw new MatrixException('Operation can only be called on square matrix: ' . print_r($decompositionLiteral, true));
}
$size = $source->getRowCount();
$this->permutation = range(0, $size - 1);
for ($k = 0; $k < $size; $k++) {
$p = 0.0;
$kPrime = $k;
for ($i = $k; $i < $size; $i++) {
$absolute = abs($decompositionLiteral[$i][$k]);
if ($absolute > $p) {
$p = $absolute;
$kPrime = $i;
}
}
if ($p === 0.0) {
throw new MatrixException('Cannot take the LUP decomposition of a singular matrix: ' . print_r($sourceLiteral, true));
}
if ($k !== $kPrime) {
list($this->permutation[$k], $this->permutation[$kPrime]) = [$this->permutation[$kPrime], $this->permutation[$k]];
$this->parity++;
}
for ($i = 0; $i < $size; $i++) {
list($decompositionLiteral[$k][$i], $decompositionLiteral[$kPrime][$i]) = [$decompositionLiteral[$kPrime][$i], $decompositionLiteral[$k][$i]];
}
for ($i = $k + 1; $i < $size; $i++) {
$decompositionLiteral[$i][$k] = $decompositionLiteral[$i][$k] / $decompositionLiteral[$k][$k];
for ($j = $k + 1; $j < $size; $j++) {
$decompositionLiteral[$i][$j] = $decompositionLiteral[$i][$j] - $decompositionLiteral[$i][$k] * $decompositionLiteral[$k][$j];
}
}
}
$this->decomposition = new Matrix($decompositionLiteral);
}
/**
* @param self $other
* @return self
* @throws MatrixException
*/
public function concatenateRight(self $other) : self
{
return $this->spliceColumns($this->getColumnCount(), 0, $other->toArray());
}
/**
* @param Matrix $matrix
* @return boolean
*/
public function equals(Matrix $matrix) : bool
{
return $this->toArray() === $matrix->toArray();
}
