def angle_vectors_xy(u, v, deg=False):
"""Compute the smallest angle between the XY components of two vectors.
Parameters
----------
u : sequence of float
The first 2D or 3D vector (Z will be ignored).
v : sequence of float)
The second 2D or 3D vector (Z will be ignored).
deg : boolean
returns angle in degrees if True
Returns
-------
float
The smallest angle between the vectors in radians (in degrees if deg == True).
The angle is always positive.
Examples
--------
>>>
"""
a = dot_vectors_xy(u, v) / (length_vector_xy(u) * length_vector_xy(v))
a = max(min(a, 1), -1)
if deg:
return degrees(acos(a))
return acos(a)
def angle_smallest_vectors_xy(u, v):
"""Compute the smallest angle (radians) between the XY components of two vectors lying in the XY-plane.
Parameters
----------
u : sequence of float
The first 2D or 3D vector (Z will be ignored).
v : sequence of float)
The second 2D or 3D vector (Z will be ignored).
Returns
-------
float
The smallest angle between the vectors in radians.
The angle is always positive.
Examples
--------
>>>
"""
a = dot_vectors_xy(u, v) / (length_vector_xy(u) * length_vector_xy(v))
a = max(min(a, 1), -1)
return acos(a)