orthonormalize_axes

compas.geometry.orthonormalize_axes(xaxis, yaxis)[source]

Corrects xaxis and yaxis to be unit vectors and orthonormal.

Parameters

• xaxis ([float, float, float] | compas.geometry.Vector) – The first axis.

• yaxis ([float, float, float] | compas.geometry.Vector) – The second axis.

Returns

• [float, float, float] – The corrected x axis.

• [float, float, float] – The corrected y axis.

Raises

ValueError – If xaxis and yaxis cannot span a plane.

Examples

>>> from compas.geometry import allclose
>>> xaxis = [1, 4, 5]
>>> yaxis = [1, 0, -2]
>>> xaxis, yaxis = orthonormalize_axes(xaxis, yaxis)
>>> allclose(xaxis, [0.1543, 0.6172, 0.7715], tol=0.001)
True
>>> allclose(yaxis, [0.6929, 0.4891, -0.5298], tol=0.001)
True