Drehmatrix Kreuzprodukt Vektor

[j4nk3y]

Guten Morgen Gunnar Bittersmann,

Nein. Sprich: Matrixprodukt.

Das Kreuzprodukt ist was ganz anderes.

Richtig, mein Fehler.

So kleines Update:

function vectorRotationXYZ($vector, $beta, $gamma, $delta)
{
	$rotation_XYZ = [
	"rotX" => [ "x" => ["x" => 1, 		"y" => 0, 		"z" => 0 ] ,
		    "y" => ["x" => 0, 		"y" => cos($beta), 	"z" => -sin($beta) ] , 
		    "z" => ["x" => 0, 		"y" => sin($beta), 	"z" => cos($beta) ]],
	"rotY" => [ "x" => ["x" => cos($gamma), "y" => 0, 		"z" => sin($gamma) ] ,
		    "y" => ["x" => 0, 		"y" => 1, 		"z" => 0 ] , 
		    "z" => ["x" => -sin($gamma),"y" => 0, 		"z" => cos($gamma) ]],
	"rotZ" => [ "x" => ["x" => cos($delta), "y" => -sin($delta), 	"z" => 0 ] ,
		    "y" => ["x" => sin($delta), "y" => cos($delta), 	"z" => 0 ] , 
		    "z" => ["x" => 0, 		"y" => 0, 		"z" => 1 ]]
	];
	
	$result_vector = $vector;
	$interim_result_vector = ["x" => 0, "y" => 0, "z" => 0];
	
	foreach($rotation_XYZ as $matrix => $rotation_matrix)
	{
	  foreach($rotation_matrix as $row_key => $matrix_row)
	  {
	     foreach($matrix_row as $multiplicator_key => $multiplicator)
	     {
	      $interim_result_vector[$row_key] += $multiplicator * $result_vector[$multiplicator_key];
	     }
	  }
	  $result_vector = $interim_result_vector;
	  $interim_result_vector = ["x" => 0, "y" => 0, "z" => 0];
	}
	
	return $result_vector;
}

Ich muss sagen ich finde die Umsetzung sehr Elegant.

Gruß
Jo