angle_points_xy

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

Compute the smallest angle between the vectors defined by the XY components of three points.

Parameters

  • a ([float, float] or [float, float, float] | compas.geometry.Point) – XY(Z) coordinates of a 2D or 3D point (Z will be ignored).

  • b ([float, float] or [float, float, float] | compas.geometry.Point) – XY(Z) coordinates of a 2D or 3D point (Z will be ignored).

  • c ([float, float] or [float, float, float] | compas.geometry.Point) – XY(Z) coordinates of a 2D or 3D point (Z will be ignored).

  • 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.