DAMASK_EICMD/python/tests/test_Orientation.py

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import pytest
import numpy as np
from itertools import permutations
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from matplotlib import pyplot as plt
from PIL import Image
from damask import Rotation
from damask import Orientation
from damask import Table
from damask import util
from damask import grid_filters
from damask import _crystal
crystal_families = set(_crystal.lattice_symmetries.values())
@pytest.fixture
def res_path(res_path_base):
"""Directory containing testing resources."""
return res_path_base/'Orientation'
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@pytest.fixture
def set_of_rodrigues(set_of_quaternions):
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return Rotation(set_of_quaternions).as_Rodrigues_vector()
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class TestOrientation:
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@pytest.mark.parametrize('family',crystal_families)
@pytest.mark.parametrize('shape',[None,5,(4,6)])
def test_equal(self,family,shape):
R = Rotation.from_random(shape)
assert Orientation(R,family=family) == Orientation(R,family=family) if shape is None else \
(Orientation(R,family=family) == Orientation(R,family=family)).all()
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@pytest.mark.parametrize('family',crystal_families)
@pytest.mark.parametrize('shape',[None,5,(4,6)])
def test_unequal(self,family,shape):
R = Rotation.from_random(shape)
assert not ( Orientation(R,family=family) != Orientation(R,family=family) if shape is None else \
(Orientation(R,family=family) != Orientation(R,family=family)).any())
@pytest.mark.parametrize('family',crystal_families)
@pytest.mark.parametrize('shape',[None,5,(4,6)])
def test_close(self,family,shape):
R = Orientation.from_random(family=family,shape=shape)
assert R.isclose(R.reduced).all() and R.allclose(R.reduced)
@pytest.mark.parametrize('a,b',[
(dict(rotation=[1,0,0,0],family='triclinic'),
dict(rotation=[0.5,0.5,0.5,0.5],family='triclinic')),
(dict(rotation=[1,0,0,0],family='cubic'),
dict(rotation=[1,0,0,0],family='hexagonal')),
])
def test_unequal_family(self,a,b):
assert Orientation(**a) != Orientation(**b)
@pytest.mark.parametrize('a,b',[
(dict(rotation=[1,0,0,0],lattice='cF',a=1),
dict(rotation=[1,0,0,0],lattice='cF',a=2)),
])
def test_unequal_lattice(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)
@pytest.mark.parametrize('invalid_family',[None,'fcc','bcc','hello'])
def test_invalid_family_init(self,invalid_family):
with pytest.raises(KeyError):
Orientation(family=invalid_family)
@pytest.mark.parametrize('invalid_lattice',[None,'fcc','bcc','hello'])
def test_invalid_lattice_init(self,invalid_lattice):
with pytest.raises(KeyError):
Orientation(lattice=invalid_lattice)
@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]),family='triclinic').as_matrix()
== np.eye(3))
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def test_from_Euler_angles(self):
assert np.all(Orientation.from_Euler_angles(phi=np.zeros(3),family='triclinic').as_matrix()
== np.eye(3))
def test_from_axis_angle(self):
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assert np.all(Orientation.from_axis_angle(n_omega=[1,0,0,0],family='triclinic').as_matrix()
== np.eye(3))
def test_from_basis(self):
assert np.all(Orientation.from_basis(basis=np.eye(3),family='triclinic').as_matrix()
== np.eye(3))
def test_from_matrix(self):
assert np.all(Orientation.from_matrix(R=np.eye(3),family='triclinic').as_matrix()
== np.eye(3))
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def test_from_Rodrigues_vector(self):
assert np.all(Orientation.from_Rodrigues_vector(rho=np.array([0,0,1,0]),family='triclinic').as_matrix()
== np.eye(3))
def test_from_homochoric(self):
assert np.all(Orientation.from_homochoric(h=np.zeros(3),family='triclinic').as_matrix()
== np.eye(3))
def test_from_cubochoric(self):
assert np.all(Orientation.from_cubochoric(x=np.zeros(3),family='triclinic').as_matrix()
== np.eye(3))
def test_from_spherical_component(self):
assert np.all(Orientation.from_spherical_component(center=Rotation(),
sigma=0.0,shape=1,family='triclinic').as_matrix()
== np.eye(3))
def test_from_fiber_component(self):
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crystal = np.random.rand(2) * [180,360]
sample = np.random.rand(2) * [180,360]
r = Rotation.from_fiber_component(crystal=crystal,sample=sample,
sigma=0.0,shape=1,rng_seed=0)
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assert np.all(Orientation.from_fiber_component(crystal=crystal,sample=sample,
sigma=0.0,shape=None,rng_seed=0,lattice='cI').quaternion
== r.quaternion)
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@pytest.mark.parametrize('crystal,sample,direction,color',[([np.pi/4,0],[np.pi/2,0],[1,0,0],[0,1,0]),
([np.arccos(3**(-.5)),np.pi/4,0],[0,0],[0,0,1],[0,0,1])])
def test_fiber_IPF(self,crystal,sample,direction,color):
fiber = Orientation.from_fiber_component(crystal=crystal,sample=sample,family='cubic',shape=200)
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assert np.allclose(fiber.IPF_color(direction),color)
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@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_directions(self,kwargs):
for a,b in np.random.random((10,2,3)):
c = np.cross(b,a)
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if np.allclose(c,0): continue
o = Orientation.from_directions(uvw=a,hkl=c,**kwargs)
x = o.to_pole(uvw=a)
z = o.to_pole(hkl=c)
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assert np.isclose(np.dot(x,np.array([1,0,0])),1) \
and np.isclose(np.dot(z,np.array([0,0,1])),1)
@pytest.mark.parametrize('function',[Orientation.from_random,
Orientation.from_quaternion,
Orientation.from_Euler_angles,
Orientation.from_axis_angle,
Orientation.from_basis,
Orientation.from_matrix,
Orientation.from_Rodrigues_vector,
Orientation.from_homochoric,
Orientation.from_cubochoric,
Orientation.from_spherical_component,
Orientation.from_fiber_component,
Orientation.from_directions])
def test_invalid_from(self,function):
with pytest.raises(TypeError):
function(c=.1,degrees=True,invalid=66)
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('family',crystal_families)
@pytest.mark.parametrize('angle',[10,20,30,40])
def test_average(self,angle,family):
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o = Orientation.from_axis_angle(family=family,n_omega=[[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('family',crystal_families)
def test_reduced_equivalent(self,family):
i = Orientation(family=family)
o = Orientation.from_random(family=family)
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('family',crystal_families)
def test_reduced_corner_cases(self,family):
# test whether there is always exactly one sym-eq rotation that falls into the FZ
N = np.random.randint(10,40)
size = np.ones(3)*np.pi**(2./3.)
grid = grid_filters.coordinates0_node([N+1,N+1,N+1],size,-size*.5)
evenly_distributed = Orientation.from_cubochoric(x=grid,family=family)
assert evenly_distributed.shape == evenly_distributed.reduced.shape
@pytest.mark.parametrize('family',crystal_families)
@pytest.mark.parametrize('N',[1,8,32])
def test_disorientation(self,family,N):
o = Orientation.from_random(family=family,shape=N)
p = Orientation.from_random(family=family,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('family',crystal_families)
def test_disorientation360(self,family):
o_1 = Orientation(Rotation(),family=family)
o_2 = Orientation.from_Euler_angles(family=family,phi=[360,0,0],degrees=True)
assert np.allclose((o_1.disorientation(o_2)).as_matrix(),np.eye(3))
@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(family='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('family',crystal_families)
@pytest.mark.parametrize('proper',[True,False])
def test_IPF_equivalent(self,set_of_quaternions,family,proper):
direction = np.random.random(3)*2.0-1.0
o = Orientation(rotation=set_of_quaternions,family=family).equivalent
color = o.IPF_color(vector=direction,proper=proper)
assert np.allclose(np.broadcast_to(color[0,...],color.shape),color)
@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('family',crystal_families)
@pytest.mark.parametrize('proper',[True,False])
def test_in_SST(self,family,proper):
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assert Orientation(family=family).in_SST(np.zeros(3),proper)
@pytest.mark.parametrize('function',['in_SST','IPF_color'])
def test_invalid_argument(self,function):
o = Orientation(family='cubic') # noqa
with pytest.raises(ValueError):
eval(f'o.{function}(np.ones(4))')
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@pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch'])
@pytest.mark.parametrize('lattice',['cF','cI'])
def test_relationship_reference(self,update,res_path,model,lattice):
reference = res_path/f'{lattice}_{model}.txt'
o = Orientation(lattice=lattice)
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eu = o.related(model).as_Euler_angles(degrees=True)
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if update:
coords = np.array([(1,i+1) for i,x in enumerate(eu)])
Table({'Eulers':(3,)},eu).set('pos',coords).save(reference)
assert np.allclose(eu,Table.load(reference).get('Eulers'))
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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))),
)
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assert np.allclose(o.to_frame(uvw=np.eye(3)),basis), 'Lattice basis disagrees with initialization'
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@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 \
== util.shapeblender(o.shape,vector.shape[:-1]) \
+ (o.symmetry_operations.shape if with_symmetry else ()) \
+ vector.shape[-1:]
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@pytest.mark.parametrize('lattice',['hP','cI','cF']) #tI not included yet
def test_Schmid(self,update,res_path,lattice):
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O = Orientation(lattice=lattice) # noqa
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for mode in ['slip','twin']:
reference = res_path/f'{lattice}_{mode}.txt'
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P = O.Schmid(N_slip='*') if mode == 'slip' else O.Schmid(N_twin='*')
if update:
Table({'Schmid':(3,3,)},P.reshape(-1,9)).save(reference)
assert np.allclose(P,Table.load(reference).get('Schmid'))
def test_Schmid_invalid(self):
with pytest.raises(KeyError):
Orientation(lattice='fcc').Schmid()
### vectorization tests ###
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@pytest.mark.parametrize('lattice',['hP','cI','cF']) # tI not included yet
def test_Schmid_vectorization(self,lattice):
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O = Orientation.from_random(shape=4,lattice=lattice) # noqa
for mode in ['slip','twin']:
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Ps = O.Schmid(N_slip='*') if mode == 'slip' else O.Schmid(N_twin='*')
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for i in range(4):
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P = O[i].Schmid(N_slip='*') if mode == 'slip' else O[i].Schmid(N_twin='*')
assert np.allclose(P,Ps[:,i])
@pytest.mark.parametrize('family',crystal_families)
@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
def test_reduced_vectorization(self,family,shape):
o = Orientation.from_random(family=family,shape=shape)
for r, theO in zip(o.reduced.flatten(),o.flatten()):
assert r == theO.reduced
@pytest.mark.parametrize('family',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,family,shape,vector,proper):
o = Orientation.from_random(family=family,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('proper',[True,False])
@pytest.mark.parametrize('family',crystal_families)
def test_in_SST_vectorization(self,family,proper):
vecs = np.random.rand(20,4,3)
result = Orientation(family=family).in_SST(vecs,proper).flatten()
for r,v in zip(result,vecs.reshape((-1,3))):
assert np.all(r == Orientation(family=family).in_SST(v,proper))
@pytest.mark.parametrize('family',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,family,shape,vector,proper,in_SST):
o = Orientation.from_random(family=family,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('family',crystal_families)
def test_in_FZ_vectorization(self,set_of_rodrigues,family):
result = Orientation.from_Rodrigues_vector(rho=set_of_rodrigues.reshape((-1,4,4)),family=family).in_FZ.reshape(-1)
for r,rho in zip(result,set_of_rodrigues[:len(result)]):
assert r == Orientation.from_Rodrigues_vector(rho=rho,family=family).in_FZ
@pytest.mark.parametrize('family',crystal_families)
def test_in_disorientation_FZ_vectorization(self,set_of_rodrigues,family):
result = Orientation.from_Rodrigues_vector(rho=set_of_rodrigues.reshape((-1,4,4)),
family=family).in_disorientation_FZ.reshape(-1)
for r,rho in zip(result,set_of_rodrigues[:len(result)]):
assert r == Orientation.from_Rodrigues_vector(rho=rho,family=family).in_disorientation_FZ
@pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch'])
@pytest.mark.parametrize('lattice',['cF','cI'])
def test_relationship_vectorization(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=lattice).related(model)).all()
### blending tests ###
@pytest.mark.parametrize('family',crystal_families)
@pytest.mark.parametrize('left,right',[
((2,3,2),(2,3,2)),
((2,2),(4,4)),
((3,1),(1,3)),
(None,None),
])
def test_disorientation_blending(self,family,left,right):
o = Orientation.from_random(family=family,shape=left)
p = Orientation.from_random(family=family,shape=right)
blend = util.shapeblender(o.shape,p.shape)
for loc in np.random.randint(0,blend,(10,len(blend))):
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l = () if left is None else tuple(np.minimum(np.array(left )-1,loc[:len(left)]))
r = () if right is None else tuple(np.minimum(np.array(right)-1,loc[-len(right):]))
assert o[l].disorientation(p[r]).isclose(o.disorientation(p)[tuple(loc)])
@pytest.mark.parametrize('family',crystal_families)
@pytest.mark.parametrize('left,right',[
((2,3,2),(2,3,2)),
((2,2),(4,4)),
((3,1),(1,3)),
(None,(3,)),
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(None,()),
])
def test_IPF_color_blending(self,family,left,right):
o = Orientation.from_random(family=family,shape=left)
v = np.random.random(right+(3,))
blend = util.shapeblender(o.shape,v.shape[:-1])
for loc in np.random.randint(0,blend,(10,len(blend))):
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l = () if left is None else tuple(np.minimum(np.array(left )-1,loc[:len(left)]))
r = () if right is None else tuple(np.minimum(np.array(right)-1,loc[-len(right):]))
assert np.allclose(o[l].IPF_color(v[r]),
o.IPF_color(v)[tuple(loc)])
@pytest.mark.parametrize('family',crystal_families)
@pytest.mark.parametrize('left,right',[
((2,3,2),(2,3,2)),
((2,2),(4,4)),
((3,1),(1,3)),
(None,(3,)),
])
def test_to_SST_blending(self,family,left,right):
o = Orientation.from_random(family=family,shape=left)
v = np.random.random(right+(3,))
blend = util.shapeblender(o.shape,v.shape[:-1])
for loc in np.random.randint(0,blend,(10,len(blend))):
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l = () if left is None else tuple(np.minimum(np.array(left )-1,loc[:len(left)]))
r = () if right is None else tuple(np.minimum(np.array(right)-1,loc[-len(right):]))
assert np.allclose(o[l].to_SST(v[r]),
o.to_SST(v)[tuple(loc)])
@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('left,right',[
((2,3,2),(2,3,2)),
((2,2),(4,4)),
((3,1),(1,3)),
(None,(3,)),
])
def test_to_pole_blending(self,lattice,a,b,c,alpha,beta,gamma,left,right):
o = Orientation.from_random(shape=left,
lattice=lattice,
a=a,b=b,c=c,
alpha=alpha,beta=beta,gamma=gamma)
v = np.random.random(right+(3,))
blend = util.shapeblender(o.shape,v.shape[:-1])
for loc in np.random.randint(0,blend,(10,len(blend))):
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l = () if left is None else tuple(np.minimum(np.array(left )-1,loc[:len(left)]))
r = () if right is None else tuple(np.minimum(np.array(right)-1,loc[-len(right):]))
assert np.allclose(o[l].to_pole(uvw=v[r]),
o.to_pole(uvw=v)[tuple(loc)])
def test_mul_invalid(self):
with pytest.raises(TypeError):
Orientation.from_random(lattice='cF')*np.ones(3)
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@pytest.mark.parametrize('OR',['KS','NW','GT','GT_prime','Bain','Pitsch'])
@pytest.mark.parametrize('pole',[[0,0,1],[0,1,1],[1,1,1]])
def test_OR_plot(self,update,res_path,tmp_path,OR,pole):
# https://doi.org/10.3390/cryst13040663 for comparison
O = Orientation(lattice='cF')
poles = O.related(OR).to_pole(uvw=pole,with_symmetry=True).reshape(-1,3)
points = util.project_equal_area(poles,'z')
fig, ax = plt.subplots()
c = plt.Circle((0,0),1, color='k',fill=False)
ax.add_patch(c)
ax.scatter(points[:,0],points[:,1])
ax.set_aspect('equal', 'box')
fname=f'{OR}-{"".join(map(str,pole))}.png'
plt.axis('off')
plt.savefig(tmp_path/fname)
if update: plt.savefig(res_path/fname)
current = np.array(Image.open(tmp_path/fname))
reference = np.array(Image.open(res_path/fname))
assert np.allclose(current,reference)