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Changed angle_between_vectors implementation to work for 3d vectors

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This commit is contained in:
Grant Sanderson 2019-02-07 21:38:03 -08:00
parent 7a488702e4
commit bf0e3ab1b0
1 changed files with 6 additions and 3 deletions
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9
manimlib/utils/space_ops.py
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@ -7,6 +7,7 @@ from manimlib.constants import PI
from manimlib.constants import RIGHT
from manimlib.constants import TAU
from manimlib.utils.iterables import adjacent_pairs
from manimlib.utils.simple_functions import fdiv
def get_norm(vect):
@ -140,10 +141,12 @@ def angle_of_vector(vector):
def angle_between_vectors(v1, v2):
"""
Returns the angle between two 3D vectors.
This angle will always be btw 0 and TAU/2.
This angle will always be btw 0 and pi
"""
diff = (angle_of_vector(v1) - angle_of_vector(v2)) % TAU
return min(diff, TAU - diff)
return np.arccos(fdiv(
np.dot(v1, v2),
get_norm(v1) * get_norm(v2)
))
def project_along_vector(point, vector):