def get_sample_fundamental(resolution=2, point_group=None, space_group=None):
"""
Generates an equispaced grid of rotations within a fundamental zone.
Parameters
----------
resolution : float, optional
The characteristic distance between a rotation and its neighbour (degrees)
point_group : orix.quaternion.symmetry.Symmetry, optional
One of the 11 proper point groups, defaults to None
space_group: int, optional
Between 1 and 231, defaults to None
Returns
-------
q : orix.quaternion.rotation.Rotation
Grid of rotations lying within the specified fundamental zone
See Also
--------
orix.sampling.utils.uniform_SO3_sample
Examples
--------
>>> from orix.quaternion.symmetry import C2,C4
>>> grid = get_sample_fundamental(1, point_group=C2)
"""
if point_group is None:
point_group = get_point_group(space_group, proper=True)
q = uniform_SO3_sample(resolution)
fundamental_region = OrientationRegion.from_symmetry(point_group)
return q[q < fundamental_region]
def test_RotationPlot_methods():
""" This code is lifted from demo-3-v0.1 """
misori = Misorientation([1, 1, 1, 1]) # any will do
fig = plt.figure(figsize=(6, 3))
gridspec = plt.GridSpec(1, 1, left=0, right=1, bottom=0, top=1, hspace=0.05)
ax_misori = fig.add_subplot(gridspec[0], projection='axangle', proj_type='ortho', aspect='equal')
ax_misori.scatter(misori)
ax_misori.plot(misori)
ax_misori.plot_wireframe(OrientationRegion.from_symmetry(D6, D6))
plt.close('all')
# clear the edge case
ax_misori.transform(np.asarray([1, 1, 1]))
return None
def set_symmetry(self, Gl, Gr, verbose=False):
"""Assign symmetries to this misorientation.
Computes equivalent transformations which have the smallest angle of
rotation and assigns these in-place.
Parameters
----------
Gl, Gr : Symmetry
Returns
-------
Misorientation
A new misorientation object with the assigned symmetry.
Examples
--------
>>> from orix.quaternion.symmetry import C4, C2
>>> data = np.array([[0.5, 0.5, 0.5, 0.5], [0, 1, 0, 0]])
>>> m = Misorientation(data).set_symmetry(C4, C2)
>>> m
Misorientation (2,) 4, 2
[[-0.7071 0. -0.7071 0. ]
[ 0. 0.7071 -0.7071 0. ]]
"""
symmetry_pairs = iproduct(Gl, Gr)
if verbose:
import tqdm
symmetry_pairs = tqdm.tqdm(symmetry_pairs, total=Gl.size * Gr.size)
orientation_region = OrientationRegion.from_symmetry(Gl, Gr)
o_inside = self.__class__.identity(self.shape)
outside = np.ones(self.shape, dtype=bool)
for gl, gr in symmetry_pairs:
o_transformed = gl * self[outside] * gr
o_inside[outside] = o_transformed
outside = ~(o_inside < orientation_region)
if not np.any(outside):
break
o_inside._symmetry = (Gl, Gr)
return o_inside
def test_full_region_plot():
empty = OrientationRegion.from_symmetry(C1, C1)
_ = empty.get_plot_data()
def test_coverage_on_faces():
o = OrientationRegion(Orientation([1, 1, 1, 1]))
f = o.faces()
return None