axis_to_rotation_matrix

static Quaternion.axis_to_rotation_matrix(x_axis: tuple | list, y_axis: tuple | list, z_axis: tuple | list) → tuple

Construct a rotation matrix from three orthonormal axes.

Parameters:

x_axistuple of float

The X axis of the rotated frame.

y_axistuple of float

The Y axis of the rotated frame.

z_axistuple of float

The Z axis of the rotated frame.

Returns:

tuple of tuples

A 3x3 rotation matrix where each column is one of the given axes.

Raises:

ValueError

If the axes do not form an orthonormal basis.

Examples

>>> from ansys.aedt.core.generic.quaternion import Quaternion
>>> Quaternion.axis_to_rotation_matrix((1.0, 0.0, 0.0), (0.0, 1.0, 0.0), (0.0, 0.0, 1.0))
((1.0, 0.0, 0.0), (0.0, 1.0, 0.0), (0.0, 0.0, 1.0))