public function evaluate(array $params)
{
$m = $this->m;
$n = $this->n;
$R = [];
for ($i = 0; $i < $m; $i++) {
for ($j = 0; $j < $n; $j++) {
$func = $this->A[$i][$j];
$R[$i][$j] = $func($params);
}
}
return MatrixFactory::create($R);
}
/**
* @dataProvider dataProviderForFrobeniusNorm
*/
public function testFrobeniusNorm(array $A, $norm)
{
$A = MatrixFactory::create($A);
$this->assertEquals($norm, $A->frobeniusNorm(), '', 0.0001);
}
/**
* @dataProvider dataProviderForRowExclude
*/
public function testRowExclude(array $A, int $mᵢ, array $R)
{
$A = MatrixFactory::create($A);
$R = MatrixFactory::create($R);
$this->assertEquals($R, $A->rowExclude($mᵢ));
}
/**
* @dataProvider dataProviderForJsonSerialize
*/
public function testJsonSerialize(array $A, string $json)
{
$A = MatrixFactory::create($A);
$this->assertEquals($json, json_encode($A));
}
/**
* @dataProvider dataProviderForSolve
* Compute the RREF before trying to solve.
*/
public function testSolveRREF(array $A, array $b, array $expected)
{
$A = MatrixFactory::create($A);
$b = new Vector($b);
$expected = new Vector($expected);
$A->rref();
$x = $A->solve($b);
$this->assertEquals($expected, $x, '', 0.001);
}
/**
* Axiom: det(A ⊗ B) = det(A)ᵐ det(B)ⁿ
* Determinant of Kronecker product - where A is nxn matrix, and b is nxn matrix
* @dataProvider dataProviderForKroneckerProductDeterminant
*/
public function testKroneckerProductDeterminant(array $A, array $B)
{
$A = MatrixFactory::create($A);
$B = MatrixFactory::create($B);
$det⟮A⟯ᵐ = $A->det() ** $B->getM();
$det⟮B⟯ⁿ = $B->det() ** $A->getN();
$det⟮A⊗B⟯ = $A->kroneckerProduct($B)->det();
$this->assertEquals($det⟮A⊗B⟯, $det⟮A⟯ᵐ * $det⟮B⟯ⁿ, '', 0.0001);
}
public function testCofactorMatrixExceptionNotSquare()
{
$A = MatrixFactory::create([[1, 2, 3, 4], [2, 3, 4, 4], [3, 4, 5, 4]]);
$this->setExpectedException('MathPHP\\Exception\\MatrixException');
$A->cofactorMatrix();
}
/**
* @dataProvider dataProviderForEye
*/
public function testEye(int $m, int $n, int $k, int $x, array $R)
{
$A = MatrixFactory::eye($m, $n, $k, $x);
$R = MatrixFactory::create($R);
$this->assertEquals($R, $A);
$this->assertEquals($R->getMatrix(), $A->getMatrix());
$this->assertEquals($m, $R->getM());
$this->assertEquals($n, $R->getN());
}
/**
* @dataProvider dataProviderForColumnExclude
*/
public function testColumnExclude(array $A, int $nᵢ, array $R)
{
$A = MatrixFactory::create($A);
$R = MatrixFactory::create($R);
$this->assertEquals($R, $A->columnExclude($nᵢ));
}