def angles_vectors(left, right):
"""Compute both angles between corresponding pairs of two lists of vectors.
Parameters
----------
left : list
A list of vectors.
right : list
A list of vectors.
Returns
-------
list
A list of angle pairs.
Examples
--------
>>> Vector.angles_vectors([[1.0, 0.0, 0.0], [2.0, 0.0, 0.0]], [[0.0, 1.0, 0.0], [0.0, 0.0, 2.0]])
[(1.5707963267948966, 4.71238898038469), (1.5707963267948966, 4.71238898038469)]
"""
return [angles_vectors(u, v) for u, v in zip(left, right)]
def angles(self, other):
"""Compute both angles between this vector and another vector.
Parameters
----------
other : :class:`compas.geometry.Vector` or list
The other vector.
Returns
-------
tuple of float
The angles between the two vectors, with the smallest angle first.
Examples
--------
>>> u = Vector(1.0, 0.0, 0.0)
>>> v = Vector(0.0, 1.0, 0.0)
>>> u.angles(v)[0] == 0.5 * math.pi
True
"""
return angles_vectors(self, other)
def test_angles_vectors_fails_when_input_is_zero(u, v):
with pytest.raises(ZeroDivisionError):
angles_vectors(u, v)
def test_angles_vectors(u, v, angles):
a, b = angles
assert angles_vectors(u, v) == (pytest.approx(a), pytest.approx(b))
def test_angles_vectors(u, v, angles):
a, b = angles
assert allclose(angles_vectors(u, v), (a, b))
# # vertices on the boundaries of the box. Convert the box back to the local
# # coordinate system.
# # ==============================================================================
front = bounding_box_xy(points)
front = offset_polygon(front, -PADDING)
front = transform_points(front, X.inverse())
# # ==============================================================================
# # Check if boundary normal and local normal have the same direction, if not reverse
# # list of vertices. Create a 3D box by moving the vertices of the found 2D bounding
# # box along the z-axis of the boundary coordinate system.
# # ==============================================================================
back = []
angle = angles_vectors(frame.zaxis, frame_0.zaxis, deg=False)
if angle[0] != 0:
front.reverse()
for v in front:
vertex = add_vectors(v, scale_vector(frame_0.zaxis, THICKNESS))
back.append(vertex)
# # ==============================================================================
# # Convert the box to a mesh for visualisation.
# # ==============================================================================
bbox = front + back
faces = [[0, 3, 2, 1], [4, 5, 6, 7], [3, 0, 4, 7], [2, 3, 7, 6],
[1, 2, 6, 5], [0, 1, 5, 4]]