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<?php
namespace Chippyash\Math\Matrix\Attribute;
use Chippyash\Math\Matrix\Derivative\Sum;
use Chippyash\Math\Type\Comparator;
use Chippyash\Matrix\Exceptions\MatrixException;
use Chippyash\Matrix\Interfaces\AttributeInterface;
use Chippyash\Matrix\Matrix;
use Chippyash\Math\Matrix\Traits\AssertMatrixIsNumeric;
use Chippyash\Matrix\Traits\AssertMatrixIsSquare;
class IsMarkov implements AttributeInterface
{
use AssertMatrixIsNumeric;
use AssertMatrixIsSquare;
public function is(Matrix $mA)
{
try {
$this->assertMatrixIsNumeric($mA)
->assertMatrixIsSquare($mA);
} catch (MatrixException $e) {
return false;
}
if ($mA->rows() < 2 || $mA->columns() < 2) {
return false;
}
$sumDerivative = new Sum();
$firstRow = $mA('Rowslice', [1])->derive($sumDerivative);
$comp = new Comparator();
foreach(range(2, $mA->rows()) as $row) {
if ($comp->neq($firstRow, $mA('RowSlice', [$row])->derive($sumDerivative)) != 0) {
return false;
}
}
return true;
}
}