import pytest
import numpy as np
from itertools import permutations
from damask import Rotation
from damask import Orientation
from damask import Table
from damask import lattice
from damask import util
@pytest.fixture
def ref_path(ref_path_base):
"""Directory containing reference results."""
return ref_path_base/'Orientation'
@pytest.fixture
def set_of_rodrigues(set_of_quaternions):
return Rotation(set_of_quaternions).as_Rodrigues_vector()
class TestOrientation:
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('shape',[None,5,(4,6)])
def test_equal(self,lattice,shape):
R = Rotation.from_random(shape)
assert Orientation(R,lattice) == Orientation(R,lattice) if shape is None else \
(Orientation(R,lattice) == Orientation(R,lattice)).all()
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('shape',[None,5,(4,6)])
def test_unequal(self,lattice,shape):
R = Rotation.from_random(shape)
assert not ( Orientation(R,lattice) != Orientation(R,lattice) if shape is None else \
(Orientation(R,lattice) != Orientation(R,lattice)).any())
@pytest.mark.parametrize('a,b',[
(dict(rotation=[1,0,0,0]),
dict(rotation=[0.5,0.5,0.5,0.5])),
(dict(rotation=[1,0,0,0],lattice='cubic'),
dict(rotation=[1,0,0,0],lattice='hexagonal')),
(dict(rotation=[1,0,0,0],lattice='cF',a=1),
dict(rotation=[1,0,0,0],lattice='cF',a=2)),
])
def test_nonequal(self,a,b):
assert Orientation(**a) != Orientation(**b)
@pytest.mark.parametrize('kwargs',[
dict(lattice='aP', alpha=np.pi/4,beta=np.pi/3, ),
dict(lattice='mP', c=1.2,alpha=np.pi/4, gamma=np.pi/2),
dict(lattice='oP', c=1.2,alpha=np.pi/4, ),
dict(lattice='oS',a=1.0, c=2.0,alpha=np.pi/2,beta=np.pi/3, ),
dict(lattice='tP',a=1.0,b=1.2, ),
dict(lattice='tI', alpha=np.pi/3, ),
dict(lattice='hP', gamma=np.pi/2),
dict(lattice='cI',a=1.0, c=2.0,alpha=np.pi/2,beta=np.pi/2, ),
dict(lattice='cF', beta=np.pi/3, ),
])
def test_invalid_init(self,kwargs):
with pytest.raises(ValueError):
Orientation(**kwargs).parameters # noqa
@pytest.mark.parametrize('kwargs',[
dict(lattice='aP',a=1.0,b=1.1,c=1.2,alpha=np.pi/4,beta=np.pi/3,gamma=np.pi/2),
dict(lattice='mP',a=1.0,b=1.1,c=1.2, beta=np.pi/3 ),
dict(lattice='oS',a=1.0,b=1.1,c=1.2, ),
dict(lattice='tI',a=1.0, c=1.2, ),
dict(lattice='hP',a=1.0 ),
dict(lattice='cI',a=1.0, ),
])
def test_repr(self,kwargs):
o = Orientation.from_random(**kwargs)
assert isinstance(o.__repr__(),str)
@pytest.mark.parametrize('kwargs',[
dict(lattice='aP',a=1.0,b=1.1,c=1.2,alpha=np.pi/4,beta=np.pi/3,gamma=np.pi/2),
dict(lattice='mP',a=1.0,b=1.1,c=1.2, beta=np.pi/3 ),
dict(lattice='oS',a=1.0,b=1.1,c=1.2, ),
dict(lattice='tI',a=1.0, c=1.2, ),
dict(lattice='hP',a=1.0 ),
dict(lattice='cI',a=1.0, ),
])
def test_copy(self,kwargs):
o = Orientation.from_random(**kwargs)
p = o.copy(rotation=Rotation.from_random())
assert o != p
def test_from_quaternion(self):
assert np.all(Orientation.from_quaternion(q=np.array([1,0,0,0]),lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_Euler_angles(self):
assert np.all(Orientation.from_Euler_angles(phi=np.zeros(3),lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_axis_angle(self):
assert np.all(Orientation.from_axis_angle(axis_angle=[1,0,0,0],lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_basis(self):
assert np.all(Orientation.from_basis(basis=np.eye(3),lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_matrix(self):
assert np.all(Orientation.from_matrix(R=np.eye(3),lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_Rodrigues_vector(self):
assert np.all(Orientation.from_Rodrigues_vector(rho=np.array([0,0,1,0]),lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_homochoric(self):
assert np.all(Orientation.from_homochoric(h=np.zeros(3),lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_cubochoric(self):
assert np.all(Orientation.from_cubochoric(c=np.zeros(3),lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_spherical_component(self):
assert np.all(Orientation.from_spherical_component(center=Rotation(),
sigma=0.0,N=1,lattice='triclinic').as_matrix()
== np.eye(3))
def test_from_fiber_component(self):
r = Rotation.from_fiber_component(alpha=np.zeros(2),beta=np.zeros(2),
sigma=0.0,N=1,rng_seed=0)
assert np.all(Orientation.from_fiber_component(alpha=np.zeros(2),beta=np.zeros(2),
sigma=0.0,N=1,rng_seed=0,lattice='triclinic').quaternion
== r.quaternion)
@pytest.mark.parametrize('kwargs',[
dict(lattice='aP',a=1.0,b=1.1,c=1.2,alpha=np.pi/4.5,beta=np.pi/3.5,gamma=np.pi/2.5),
dict(lattice='mP',a=1.0,b=1.1,c=1.2, beta=np.pi/3.5),
dict(lattice='oS',a=1.0,b=1.1,c=1.2,),
dict(lattice='tI',a=1.0, c=1.2,),
dict(lattice='hP',a=1.0 ),
dict(lattice='cI',a=1.0, ),
])
def test_from_direction(self,kwargs):
for a,b in np.random.random((10,2,3)):
c = np.cross(b,a)
if np.all(np.isclose(c,0)): continue
o = Orientation.from_directions(uvw=a,hkl=c,**kwargs)
x = o.to_pole(uvw=a)
z = o.to_pole(hkl=c)
assert np.isclose(np.dot(x/np.linalg.norm(x),np.array([1,0,0])),1) \
and np.isclose(np.dot(z/np.linalg.norm(z),np.array([0,0,1])),1)
def test_negative_angle(self):
with pytest.raises(ValueError):
Orientation(lattice='aP',a=1,b=2,c=3,alpha=45,beta=45,gamma=-45,degrees=True) # noqa
def test_excess_angle(self):
with pytest.raises(ValueError):
Orientation(lattice='aP',a=1,b=2,c=3,alpha=45,beta=45,gamma=90.0001,degrees=True) # noqa
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('angle',[10,20,30,40])
def test_average(self,angle,lattice):
o = Orientation.from_axis_angle(lattice=lattice,axis_angle=[[0,0,1,10],[0,0,1,angle]],degrees=True)
avg_angle = o.average().as_axis_angle(degrees=True,pair=True)[1]
assert np.isclose(avg_angle,10+(angle-10)/2.)
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
def test_reduced_equivalent(self,lattice):
i = Orientation(lattice=lattice)
o = Orientation.from_random(lattice=lattice)
eq = o.equivalent
FZ = np.argmin(abs(eq.misorientation(i.broadcast_to(len(eq))).as_axis_angle(pair=True)[1]))
assert o.reduced == eq[FZ]
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('N',[1,8,32])
def test_disorientation(self,lattice,N):
o = Orientation.from_random(lattice=lattice,shape=N)
p = Orientation.from_random(lattice=lattice,shape=N)
d,ops = o.disorientation(p,return_operators=True)
for n in range(N):
assert np.allclose(d[n].as_quaternion(),
o[n].equivalent[ops[n][0]]
.misorientation(p[n].equivalent[ops[n][1]])
.as_quaternion()) \
or np.allclose((~d)[n].as_quaternion(),
o[n].equivalent[ops[n][0]]
.misorientation(p[n].equivalent[ops[n][1]])
.as_quaternion())
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('a,b',[
((2,3,2),(2,3,2)),
((2,2),(4,4)),
((3,1),(1,3)),
(None,None),
])
def test_disorientation_blending(self,lattice,a,b):
o = Orientation.from_random(lattice=lattice,shape=a)
p = Orientation.from_random(lattice=lattice,shape=b)
blend = util.shapeblender(o.shape,p.shape)
for loc in np.random.randint(0,blend,(10,len(blend))):
assert o[tuple(loc[:len(o.shape)])].disorientation(p[tuple(loc[-len(p.shape):])]) \
== o.disorientation(p)[tuple(loc)]
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
def test_disorientation360(self,lattice):
o_1 = Orientation(Rotation(),lattice)
o_2 = Orientation.from_Euler_angles(lattice=lattice,phi=[360,0,0],degrees=True)
assert np.allclose((o_1.disorientation(o_2)).as_matrix(),np.eye(3))
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
def test_reduced_vectorization(self,lattice,shape):
o = Orientation.from_random(lattice=lattice,shape=shape)
for r, theO in zip(o.reduced.flatten(),o.flatten()):
assert r == theO.reduced
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
@pytest.mark.parametrize('vector',np.array([[1,0,0],[1,2,3],[-1,1,-1]]))
@pytest.mark.parametrize('proper',[True,False])
def test_to_SST_vectorization(self,lattice,shape,vector,proper):
o = Orientation.from_random(lattice=lattice,shape=shape)
for r, theO in zip(o.to_SST(vector=vector,proper=proper).reshape((-1,3)),o.flatten()):
assert np.allclose(r,theO.to_SST(vector=vector,proper=proper))
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
@pytest.mark.parametrize('vector',np.array([[1,0,0],[1,2,3],[-1,1,-1]]))
@pytest.mark.parametrize('proper',[True,False])
@pytest.mark.parametrize('in_SST',[True,False])
def test_IPF_color_vectorization(self,lattice,shape,vector,proper,in_SST):
o = Orientation.from_random(lattice=lattice,shape=shape)
for r, theO in zip(o.IPF_color(vector,in_SST=in_SST,proper=proper).reshape((-1,3)),o.flatten()):
assert np.allclose(r,theO.IPF_color(vector,in_SST=in_SST,proper=proper))
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('a,b',[
((2,3,2),(2,3,2)),
((2,2),(4,4)),
((3,1),(1,3)),
(None,(3,)),
])
def test_to_SST_blending(self,lattice,a,b):
o = Orientation.from_random(lattice=lattice,shape=a)
v = np.random.random(b+(3,))
blend = util.shapeblender(o.shape,b)
for loc in np.random.randint(0,blend,(10,len(blend))):
print(f'{a}/{b} @ {loc}')
print(o[tuple(loc[:len(o.shape)])].to_SST(v[tuple(loc[-len(b):])]))
print(o.to_SST(v)[tuple(loc)])
assert np.allclose(o[tuple(loc[:len(o.shape)])].to_SST(v[tuple(loc[-len(b):])]),
o.to_SST(v)[tuple(loc)])
@pytest.mark.parametrize('color',[{'label':'red', 'RGB':[1,0,0],'direction':[0,0,1]},
{'label':'green','RGB':[0,1,0],'direction':[0,1,1]},
{'label':'blue', 'RGB':[0,0,1],'direction':[1,1,1]}])
@pytest.mark.parametrize('proper',[True,False])
def test_IPF_cubic(self,color,proper):
cube = Orientation(lattice='cubic')
for direction in set(permutations(np.array(color['direction']))):
assert np.allclose(np.array(color['RGB']),
cube.IPF_color(vector=np.array(direction),proper=proper))
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('proper',[True,False])
def test_IPF_equivalent(self,set_of_quaternions,lattice,proper):
direction = np.random.random(3)*2.0-1.0
o = Orientation(rotation=set_of_quaternions,lattice=lattice).equivalent
color = o.IPF_color(vector=direction,proper=proper)
assert np.allclose(np.broadcast_to(color[0,...],color.shape),color)
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
def test_in_FZ_vectorization(self,set_of_rodrigues,lattice):
result = Orientation.from_Rodrigues_vector(rho=set_of_rodrigues.reshape((-1,4,4)),lattice=lattice).in_FZ.reshape(-1)
for r,rho in zip(result,set_of_rodrigues[:len(result)]):
assert r == Orientation.from_Rodrigues_vector(rho=rho,lattice=lattice).in_FZ
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
def test_in_disorientation_FZ_vectorization(self,set_of_rodrigues,lattice):
result = Orientation.from_Rodrigues_vector(rho=set_of_rodrigues.reshape((-1,4,4)),
lattice=lattice).in_disorientation_FZ.reshape(-1)
for r,rho in zip(result,set_of_rodrigues[:len(result)]):
assert r == Orientation.from_Rodrigues_vector(rho=rho,lattice=lattice).in_disorientation_FZ
@pytest.mark.parametrize('proper',[True,False])
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
def test_in_SST_vectorization(self,lattice,proper):
vecs = np.random.rand(20,4,3)
result = Orientation(lattice=lattice).in_SST(vecs,proper).flatten()
for r,v in zip(result,vecs.reshape((-1,3))):
assert np.all(r == Orientation(lattice=lattice).in_SST(v,proper))
@pytest.mark.parametrize('invalid_lattice',['fcc','bcc','hello'])
def test_invalid_lattice_init(self,invalid_lattice):
with pytest.raises(KeyError):
Orientation(lattice=invalid_lattice) # noqa
@pytest.mark.parametrize('invalid_family',[None,'fcc','bcc','hello'])
def test_invalid_symmetry_family(self,invalid_family):
with pytest.raises(KeyError):
o = Orientation(lattice='cubic')
o.family = invalid_family
o.symmetry_operations # noqa
def test_missing_symmetry_equivalent(self):
with pytest.raises(ValueError):
Orientation(lattice=None).equivalent # noqa
def test_missing_symmetry_reduced(self):
with pytest.raises(ValueError):
Orientation(lattice=None).reduced # noqa
def test_missing_symmetry_in_FZ(self):
with pytest.raises(ValueError):
Orientation(lattice=None).in_FZ # noqa
def test_missing_symmetry_in_disorientation_FZ(self):
with pytest.raises(ValueError):
Orientation(lattice=None).in_disorientation_FZ # noqa
def test_missing_symmetry_disorientation(self):
with pytest.raises(ValueError):
Orientation(lattice=None).disorientation(Orientation(lattice=None)) # noqa
def test_missing_symmetry_average(self):
with pytest.raises(ValueError):
Orientation(lattice=None).average() # noqa
def test_missing_symmetry_to_SST(self):
with pytest.raises(ValueError):
Orientation(lattice=None).to_SST(np.zeros(3)) # noqa
def test_missing_symmetry_immutable(self):
with pytest.raises(KeyError):
Orientation(lattice=None).immutable # noqa
def test_missing_symmetry_basis_real(self):
with pytest.raises(KeyError):
Orientation(lattice=None).basis_real # noqa
def test_missing_symmetry_basis_reciprocal(self):
with pytest.raises(KeyError):
Orientation(lattice=None).basis_reciprocal # noqa
def test_double_Bravais_to_Miller(self):
with pytest.raises(KeyError):
Orientation.Bravais_to_Miller(uvtw=np.ones(4),hkil=np.ones(4)) # noqa
def test_double_Miller_to_Bravais(self):
with pytest.raises(KeyError):
Orientation.Miller_to_Bravais(uvw=np.ones(4),hkl=np.ones(4)) # noqa
def test_double_to_lattice(self):
with pytest.raises(KeyError):
Orientation().to_lattice(direction=np.ones(3),plane=np.ones(3)) # noqa
def test_double_to_frame(self):
with pytest.raises(KeyError):
Orientation().to_frame(uvw=np.ones(3),hkl=np.ones(3)) # noqa
@pytest.mark.parametrize('relation',[None,'Peter','Paul'])
def test_unknown_relation(self,relation):
with pytest.raises(KeyError):
Orientation(lattice='cF').related(relation) # noqa
@pytest.mark.parametrize('relation,lattice,a,b,c,alpha,beta,gamma',
[
('Bain', 'aP',0.5,2.0,3.0,0.8,0.5,1.2),
('KS', 'mP',1.0,2.0,3.0,np.pi/2,0.5,np.pi/2),
('Pitsch', 'oI',0.5,1.5,3.0,np.pi/2,np.pi/2,np.pi/2),
('Burgers','tP',0.5,0.5,3.0,np.pi/2,np.pi/2,np.pi/2),
('GT', 'hP',1.0,None,1.6,np.pi/2,np.pi/2,2*np.pi/3),
('Burgers','cF',1.0,1.0,None,np.pi/2,np.pi/2,np.pi/2),
])
def test_unknown_relation_lattice(self,relation,lattice,a,b,c,alpha,beta,gamma):
with pytest.raises(KeyError):
Orientation(lattice=lattice,
a=a,b=b,c=c,
alpha=alpha,beta=beta,gamma=gamma).related(relation) # noqa
@pytest.mark.parametrize('lattice',Orientation.crystal_families)
@pytest.mark.parametrize('proper',[True,False])
def test_in_SST(self,lattice,proper):
assert Orientation(lattice=lattice).in_SST(np.zeros(3),proper)
@pytest.mark.parametrize('function',['in_SST','IPF_color'])
def test_invalid_argument(self,function):
o = Orientation(lattice='cubic') # noqa
with pytest.raises(ValueError):
eval(f'o.{function}(np.ones(4))')
@pytest.mark.parametrize('model',lattice.relations)
def test_relationship_definition(self,model):
m,o = list(lattice.relations[model])
assert lattice.relations[model][m].shape[:-1] == lattice.relations[model][o].shape[:-1]
@pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch'])
@pytest.mark.parametrize('lattice',['cF','cI'])
def test_relationship_vectorize(self,set_of_quaternions,lattice,model):
r = Orientation(rotation=set_of_quaternions[:200].reshape((50,4,4)),lattice=lattice).related(model)
for i in range(200):
assert (r.reshape((-1,200))[:,i] == Orientation(set_of_quaternions[i],lattice).related(model)).all()
@pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch'])
@pytest.mark.parametrize('lattice',['cF','cI'])
def test_relationship_forward_backward(self,model,lattice):
o = Orientation.from_random(lattice=lattice)
for i,r in enumerate(o.related(model)):
assert o.disorientation(r.related(model)[i]).as_axis_angle(degrees=True,pair=True)[1]<1.0e-5
@pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch'])
@pytest.mark.parametrize('lattice',['cF','cI'])
def test_relationship_reference(self,update,ref_path,model,lattice):
reference = ref_path/f'{lattice}_{model}.txt'
o = Orientation(lattice=lattice)
eu = o.related(model).as_Euler_angles(degrees=True)
if update:
coords = np.array([(1,i+1) for i,x in enumerate(eu)])
Table(eu,{'Eulers':(3,)})\
.add('pos',coords)\
.save(reference)
assert np.allclose(eu,Table.load(reference).get('Eulers'))
def test_basis_real(self):
for gamma in np.random.random(2**8)*np.pi:
basis = np.tril(np.random.random((3,3))+1e-6)
basis[1,:2] = basis[1,1]*np.array([np.cos(gamma),np.sin(gamma)])
basis[2,:2] = basis[2,:2]*2-1
lengths = np.linalg.norm(basis,axis=-1)
cosines = np.roll(np.einsum('ij,ij->i',basis,np.roll(basis,1,axis=0))/lengths/np.roll(lengths,1),1)
o = Orientation.from_random(lattice='aP',
**dict(zip(['a','b','c'],lengths)),
**dict(zip(['alpha','beta','gamma'],np.arccos(cosines))),
)
assert np.allclose(o.to_frame(uvw=np.eye(3)),basis), 'Lattice basis disagrees with initialization'
@pytest.mark.parametrize('lattice,a,b,c,alpha,beta,gamma',
[
('aP',0.5,2.0,3.0,0.8,0.5,1.2),
('mP',1.0,2.0,3.0,np.pi/2,0.5,np.pi/2),
('oI',0.5,1.5,3.0,np.pi/2,np.pi/2,np.pi/2),
('tP',0.5,0.5,3.0,np.pi/2,np.pi/2,np.pi/2),
('hP',1.0,None,1.6,np.pi/2,np.pi/2,2*np.pi/3),
('cF',1.0,1.0,None,np.pi/2,np.pi/2,np.pi/2),
])
def test_bases_contraction(self,lattice,a,b,c,alpha,beta,gamma):
L = Orientation(lattice=lattice,
a=a,b=b,c=c,
alpha=alpha,beta=beta,gamma=gamma)
assert np.allclose(np.eye(3),np.einsum('ik,jk',L.basis_real,L.basis_reciprocal))
@pytest.mark.parametrize('keyFrame,keyLattice',[('uvw','direction'),('hkl','plane'),])
@pytest.mark.parametrize('vector',np.array([
[1.,1.,1.],
[-2.,3.,0.5],
[0.,0.,1.],
[1.,1.,1.],
[2.,2.,2.],
[0.,1.,1.],
]))
@pytest.mark.parametrize('lattice,a,b,c,alpha,beta,gamma',
[
('aP',0.5,2.0,3.0,0.8,0.5,1.2),
('mP',1.0,2.0,3.0,np.pi/2,0.5,np.pi/2),
('oI',0.5,1.5,3.0,np.pi/2,np.pi/2,np.pi/2),
('tP',0.5,0.5,3.0,np.pi/2,np.pi/2,np.pi/2),
('hP',1.0,1.0,1.6,np.pi/2,np.pi/2,2*np.pi/3),
('cF',1.0,1.0,1.0,np.pi/2,np.pi/2,np.pi/2),
])
def test_to_frame_to_lattice(self,lattice,a,b,c,alpha,beta,gamma,vector,keyFrame,keyLattice):
L = Orientation(lattice=lattice,
a=a,b=b,c=c,
alpha=alpha,beta=beta,gamma=gamma)
assert np.allclose(vector,
L.to_frame(**{keyFrame:L.to_lattice(**{keyLattice:vector})}))
@pytest.mark.parametrize('vector',np.array([
[1,0,0],
[1,1,0],
[1,1,1],
[1,0,-2],
]))
@pytest.mark.parametrize('kw_Miller,kw_Bravais',[('uvw','uvtw'),('hkl','hkil')])
def test_Miller_Bravais_Miller(self,vector,kw_Miller,kw_Bravais):
assert np.all(vector == Orientation.Bravais_to_Miller(**{kw_Bravais:Orientation.Miller_to_Bravais(**{kw_Miller:vector})}))
@pytest.mark.parametrize('vector',np.array([
[1,0,-1,2],
[1,-1,0,3],
[1,1,-2,-3],
[0,0,0,1],
]))
@pytest.mark.parametrize('kw_Miller,kw_Bravais',[('uvw','uvtw'),('hkl','hkil')])
def test_Bravais_Miller_Bravais(self,vector,kw_Miller,kw_Bravais):
assert np.all(vector == Orientation.Miller_to_Bravais(**{kw_Miller:Orientation.Bravais_to_Miller(**{kw_Bravais:vector})}))
@pytest.mark.parametrize('lattice,a,b,c,alpha,beta,gamma',
[
('aP',0.5,2.0,3.0,0.8,0.5,1.2),
('mP',1.0,2.0,3.0,np.pi/2,0.5,np.pi/2),
('oI',0.5,1.5,3.0,np.pi/2,np.pi/2,np.pi/2),
('tP',0.5,0.5,3.0,np.pi/2,np.pi/2,np.pi/2),
('hP',1.0,1.0,1.6,np.pi/2,np.pi/2,2*np.pi/3),
('cF',1.0,1.0,1.0,np.pi/2,np.pi/2,np.pi/2),
])
@pytest.mark.parametrize('kw',['uvw','hkl'])
@pytest.mark.parametrize('with_symmetry',[False,True])
@pytest.mark.parametrize('shape',[None,1,(12,24)])
@pytest.mark.parametrize('vector',[
np.random.random( 3 ),
np.random.random( (4,3)),
np.random.random((4,8,3)),
])
def test_to_pole(self,shape,lattice,a,b,c,alpha,beta,gamma,vector,kw,with_symmetry):
o = Orientation.from_random(shape=shape,
lattice=lattice,
a=a,b=b,c=c,
alpha=alpha,beta=beta,gamma=gamma)
assert o.to_pole(**{kw:vector,'with_symmetry':with_symmetry}).shape \
== o.shape + (o.symmetry_operations.shape if with_symmetry else ()) + vector.shape
@pytest.mark.parametrize('lattice',['hP','cI','cF'])
def test_Schmid(self,update,ref_path,lattice):
L = Orientation(lattice=lattice)
for mode in L.kinematics:
reference = ref_path/f'{lattice}_{mode}.txt'
P = L.Schmid(mode)
if update:
table = Table(P.reshape(-1,9),{'Schmid':(3,3,)})
table.save(reference)
assert np.allclose(P,Table.load(reference).get('Schmid'))