angle_points

compas.geometry.angle_points(a, b, c, deg=False)[source]

Compute the smallest angle between the vectors defined by three points.

Parameters

• a ([float, float, float] | compas.geometry.Point) – XYZ coordinates.

• b ([float, float, float] | compas.geometry.Point) – XYZ coordinates.

• c ([float, float, float] | compas.geometry.Point) – XYZ coordinates.

• deg (bool, optional) – If True, returns the angle in degrees.

Returns

float – The smallest angle in radians (in degrees if deg == True). The angle is always positive.

Notes

The vectors are defined in the following way

$$\begin{split}\mathbf{u} = \mathbf{b} - \mathbf{a} \\ \mathbf{v} = \mathbf{c} - \mathbf{a}\end{split}$$

Z components may be provided, but are simply ignored.