def abs_angle_diff(v_i, v_j):
"""
Returns the absolute value of the angle between two 3D vectors.
Parameters
----------
v_i : :obj:`numpy.ndarray`
the first 3D array
v_j : :obj:`numpy.ndarray`
the second 3D array
"""
# compute angle distance
dot_prod = min(max(v_i.dot(v_j), -1), 1)
angle_diff = np.arccos(dot_prod)
return np.abs(angle_diff)
# dictionary of distance functions
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