to_pole now blends; corrected help texts
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@ -517,15 +517,15 @@ class Orientation(Rotation,Crystal):
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Notes
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-----
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Currently requires same crystal family for both orientations.
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For extension to cases with differing symmetry see A. Heinz and P. Neumann 1991 and 10.1107/S0021889808016373.
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For extension to cases with differing symmetry see A. Heinz and P. Neumann 1991 and 10.1107/S0021889808016373.
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Examples
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--------
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Disorientation between two specific orientations of hexagonal symmetry:
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>>> import damask
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>>> a = damask.Orientation.from_Eulers(phi=[123,32,21],degrees=True,lattice='hexagonal')
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>>> b = damask.Orientation.from_Eulers(phi=[104,11,87],degrees=True,lattice='hexagonal')
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>>> a = damask.Orientation.from_Euler_angles(phi=[123,32,21],degrees=True,family='hexagonal')
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>>> b = damask.Orientation.from_Euler_angles(phi=[104,11,87],degrees=True,family='hexagonal')
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>>> a.disorientation(b)
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Crystal family hexagonal
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Quaternion: (real=0.976, imag=<+0.189, +0.018, +0.103>)
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@ -616,7 +616,7 @@ class Orientation(Rotation,Crystal):
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----------
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vector : numpy.ndarray of shape (...,3)
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Lab frame vector to align with crystal frame direction.
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Shape of other blends with shape of own rotation array.
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Shape of vector blends with shape of own rotation array.
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For example, a rotation array of shape (3,2) and a (2,4) vector array result in (3,2,4) outputs.
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proper : bool, optional
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Consider only vectors with z >= 0, hence combine two neighboring SSTs.
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@ -696,6 +696,8 @@ class Orientation(Rotation,Crystal):
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----------
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vector : numpy.ndarray of shape (...,3)
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Vector to colorize.
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Shape of vector blends with shape of own rotation array.
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For example, a rotation array of shape (3,2) and a (2,4) vector array result in (3,2,4) outputs.
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in_SST : bool, optional
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Consider symmetrically equivalent orientations such that poles are located in SST.
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Defaults to True.
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@ -713,7 +715,7 @@ class Orientation(Rotation,Crystal):
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Inverse pole figure color of the e_3 direction for a crystal in "Cube" orientation with cubic symmetry:
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>>> import damask
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>>> o = damask.Orientation(lattice='cubic')
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>>> o = damask.Orientation(family='cubic')
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>>> o.IPF_color([0,0,1])
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array([1., 0., 0.])
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@ -835,22 +837,27 @@ class Orientation(Rotation,Crystal):
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----------
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uvw|hkl : numpy.ndarray of shape (...,3)
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Miller indices of crystallographic direction or plane normal.
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Shape of vector blends with shape of own rotation array.
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For example, a rotation array of shape (3,2) and a (2,4) vector array result in (3,2,4) outputs.
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with_symmetry : bool, optional
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Calculate all N symmetrically equivalent vectors.
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Returns
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-------
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vector : numpy.ndarray of shape (...,3) or (N,...,3)
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vector : numpy.ndarray of shape (...,3) or (...,N,3)
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Lab frame vector (or vectors if with_symmetry) along [uvw] direction or (hkl) plane normal.
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"""
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v = self.to_frame(uvw=uvw,hkl=hkl)
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blend = util.shapeblender(self.shape,v.shape[:-1])
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if with_symmetry:
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sym_ops = self.symmetry_operations
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v = sym_ops.broadcast_to(sym_ops.shape+v.shape[:-1],mode='right') \
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@ np.broadcast_to(v,sym_ops.shape+v.shape)
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return ~(self if self.shape+v.shape[:-1] == () else self.broadcast_to(self.shape+v.shape[:-1],mode='right')) \
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@ np.broadcast_to(v,self.shape+v.shape)
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shape = v.shape[:-1]+sym_ops.shape
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blend += sym_ops.shape
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v = sym_ops.broadcast_to(shape) \
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@ np.broadcast_to(v.reshape(util.shapeshifter(v.shape,shape+(3,))),shape+(3,))
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return ~(self.broadcast_to(blend)) \
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@ np.broadcast_to(v,blend+(3,))
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def Schmid(self,*,N_slip=None,N_twin=None):
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@ -77,6 +77,16 @@ class TestOrientation:
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with pytest.raises(ValueError):
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Orientation(**kwargs)
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@pytest.mark.parametrize('invalid_family',[None,'fcc','bcc','hello'])
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def test_invalid_family_init(self,invalid_family):
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with pytest.raises(KeyError):
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Orientation(family=invalid_family)
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@pytest.mark.parametrize('invalid_lattice',[None,'fcc','bcc','hello'])
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def test_invalid_family_init(self,invalid_lattice):
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with pytest.raises(KeyError):
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Orientation(lattice=invalid_lattice)
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@pytest.mark.parametrize('kwargs',[
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dict(lattice='aP',a=1.0,b=1.1,c=1.2,alpha=np.pi/4,beta=np.pi/3,gamma=np.pi/2),
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dict(lattice='mP',a=1.0,b=1.1,c=1.2, beta=np.pi/3 ),
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@ -203,6 +213,15 @@ class TestOrientation:
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FZ = np.argmin(abs(eq.misorientation(i.broadcast_to(len(eq))).as_axis_angle(pair=True)[1]))
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assert o.reduced == eq[FZ]
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@pytest.mark.parametrize('family',crystal_families)
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def test_reduced_corner_cases(self,family):
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# test whether there is always a sym-eq rotation that falls into the FZ
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N = np.random.randint(10,40)
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size = np.ones(3)*np.pi**(2./3.)
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grid = grid_filters.coordinates0_node([N+1,N+1,N+1],size,-size*.5)
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evenly_distributed = Orientation.from_cubochoric(x=grid[:-2,:-2,:-2],family=family)
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assert evenly_distributed.shape == evenly_distributed.reduced.shape
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('N',[1,8,32])
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def test_disorientation(self,family,N):
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@ -221,81 +240,12 @@ class TestOrientation:
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.misorientation(p[n].equivalent[ops[n][1]])
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.as_quaternion())
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('a,b',[
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((2,3,2),(2,3,2)),
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((2,2),(4,4)),
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((3,1),(1,3)),
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(None,None),
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])
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def test_disorientation_blending(self,family,a,b):
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o = Orientation.from_random(family=family,shape=a)
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p = Orientation.from_random(family=family,shape=b)
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blend = util.shapeblender(o.shape,p.shape)
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for loc in np.random.randint(0,blend,(10,len(blend))):
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assert o[tuple(loc[:len(o.shape)])].disorientation(p[tuple(loc[-len(p.shape):])]) \
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.isclose(o.disorientation(p)[tuple(loc)])
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@pytest.mark.parametrize('family',crystal_families)
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def test_disorientation360(self,family):
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o_1 = Orientation(Rotation(),family=family)
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o_2 = Orientation.from_Euler_angles(family=family,phi=[360,0,0],degrees=True)
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assert np.allclose((o_1.disorientation(o_2)).as_matrix(),np.eye(3))
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
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def test_reduced_vectorization(self,family,shape):
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o = Orientation.from_random(family=family,shape=shape)
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for r, theO in zip(o.reduced.flatten(),o.flatten()):
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assert r == theO.reduced
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@pytest.mark.parametrize('family',crystal_families)
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def test_reduced_corner_cases(self,family):
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# test whether there is always a sym-eq rotation that falls into the FZ
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N = np.random.randint(10,40)
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size = np.ones(3)*np.pi**(2./3.)
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grid = grid_filters.coordinates0_node([N+1,N+1,N+1],size,-size*.5)
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evenly_distributed = Orientation.from_cubochoric(x=grid[:-2,:-2,:-2],family=family)
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assert evenly_distributed.shape == evenly_distributed.reduced.shape
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
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@pytest.mark.parametrize('vector',np.array([[1,0,0],[1,2,3],[-1,1,-1]]))
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@pytest.mark.parametrize('proper',[True,False])
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def test_to_SST_vectorization(self,family,shape,vector,proper):
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o = Orientation.from_random(family=family,shape=shape)
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for r, theO in zip(o.to_SST(vector=vector,proper=proper).reshape((-1,3)),o.flatten()):
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assert np.allclose(r,theO.to_SST(vector=vector,proper=proper))
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
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@pytest.mark.parametrize('vector',np.array([[1,0,0],[1,2,3],[-1,1,-1]]))
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@pytest.mark.parametrize('proper',[True,False])
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@pytest.mark.parametrize('in_SST',[True,False])
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def test_IPF_color_vectorization(self,family,shape,vector,proper,in_SST):
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o = Orientation.from_random(family=family,shape=shape)
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for r, theO in zip(o.IPF_color(vector,in_SST=in_SST,proper=proper).reshape((-1,3)),o.flatten()):
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assert np.allclose(r,theO.IPF_color(vector,in_SST=in_SST,proper=proper))
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('a,b',[
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((2,3,2),(2,3,2)),
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((2,2),(4,4)),
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((3,1),(1,3)),
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(None,(3,)),
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])
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def test_to_SST_blending(self,family,a,b):
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o = Orientation.from_random(family=family,shape=a)
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v = np.random.random(b+(3,))
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blend = util.shapeblender(o.shape,b)
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for loc in np.random.randint(0,blend,(10,len(blend))):
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print(f'{a}/{b} @ {loc}')
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print(o[tuple(loc[:len(o.shape)])].to_SST(v[tuple(loc[-len(b):])]))
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print(o.to_SST(v)[tuple(loc)])
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assert np.allclose(o[tuple(loc[:len(o.shape)])].to_SST(v[tuple(loc[-len(b):])]),
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o.to_SST(v)[tuple(loc)])
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@pytest.mark.parametrize('color',[{'label':'red', 'RGB':[1,0,0],'direction':[0,0,1]},
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{'label':'green','RGB':[0,1,0],'direction':[0,1,1]},
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{'label':'blue', 'RGB':[0,0,1],'direction':[1,1,1]}])
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color = o.IPF_color(vector=direction,proper=proper)
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assert np.allclose(np.broadcast_to(color[0,...],color.shape),color)
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@pytest.mark.parametrize('family',crystal_families)
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def test_in_FZ_vectorization(self,set_of_rodrigues,family):
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result = Orientation.from_Rodrigues_vector(rho=set_of_rodrigues.reshape((-1,4,4)),family=family).in_FZ.reshape(-1)
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for r,rho in zip(result,set_of_rodrigues[:len(result)]):
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assert r == Orientation.from_Rodrigues_vector(rho=rho,family=family).in_FZ
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@pytest.mark.parametrize('family',crystal_families)
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def test_in_disorientation_FZ_vectorization(self,set_of_rodrigues,family):
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result = Orientation.from_Rodrigues_vector(rho=set_of_rodrigues.reshape((-1,4,4)),
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family=family).in_disorientation_FZ.reshape(-1)
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for r,rho in zip(result,set_of_rodrigues[:len(result)]):
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assert r == Orientation.from_Rodrigues_vector(rho=rho,family=family).in_disorientation_FZ
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@pytest.mark.parametrize('proper',[True,False])
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@pytest.mark.parametrize('family',crystal_families)
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def test_in_SST_vectorization(self,family,proper):
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vecs = np.random.rand(20,4,3)
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result = Orientation(family=family).in_SST(vecs,proper).flatten()
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for r,v in zip(result,vecs.reshape((-1,3))):
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assert np.all(r == Orientation(family=family).in_SST(v,proper))
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@pytest.mark.parametrize('invalid_family',[None,'fcc','bcc','hello'])
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def test_invalid_lattice_init(self,invalid_family):
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with pytest.raises(KeyError):
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Orientation(family=invalid_family)
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@pytest.mark.parametrize('relation',[None,'Peter','Paul'])
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def test_unknown_relation(self,relation):
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with pytest.raises(KeyError):
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@ -371,12 +294,6 @@ class TestOrientation:
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o = Orientation(family='cubic') # noqa
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with pytest.raises(ValueError):
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eval(f'o.{function}(np.ones(4))')
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@pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch'])
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@pytest.mark.parametrize('lattice',['cF','cI'])
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def test_relationship_vectorize(self,set_of_quaternions,lattice,model):
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r = Orientation(rotation=set_of_quaternions[:200].reshape((50,4,4)),lattice=lattice).related(model)
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for i in range(200):
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assert (r.reshape((-1,200))[:,i] == Orientation(set_of_quaternions[i],lattice=lattice).related(model)).all()
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@pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch'])
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@pytest.mark.parametrize('lattice',['cF','cI'])
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@ -411,7 +328,6 @@ class TestOrientation:
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)
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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',
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[
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('aP',0.5,2.0,3.0,0.8,0.5,1.2),
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('hP',1.0,1.0,1.6,np.pi/2,np.pi/2,2*np.pi/3),
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('cF',1.0,1.0,1.0,np.pi/2,np.pi/2,np.pi/2),
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])
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@pytest.mark.parametrize('kw',['uvw','hkl'])
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@pytest.mark.parametrize('with_symmetry',[False,True])
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@pytest.mark.parametrize('shape',[None,1,(12,24)])
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@ -436,7 +351,7 @@ class TestOrientation:
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a=a,b=b,c=c,
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alpha=alpha,beta=beta,gamma=gamma)
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assert o.to_pole(**{kw:vector,'with_symmetry':with_symmetry}).shape \
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== o.shape + (o.symmetry_operations.shape if with_symmetry else ()) + vector.shape
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== 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
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def test_Schmid(self,update,ref_path,lattice):
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table.save(reference)
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assert np.allclose(P,Table.load(reference).get('Schmid'))
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### vectorization tests ###
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@pytest.mark.parametrize('lattice',['hP','cI','cF']) # tI not included yet
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def test_Schmid_vectorize(self,lattice):
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def test_Schmid_vectorization(self,lattice):
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O = Orientation.from_random(shape=4,lattice=lattice) # noqa
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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='*')
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assert np.allclose(P,Ps[:,i])
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
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def test_reduced_vectorization(self,family,shape):
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o = Orientation.from_random(family=family,shape=shape)
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for r, theO in zip(o.reduced.flatten(),o.flatten()):
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assert r == theO.reduced
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
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@pytest.mark.parametrize('vector',np.array([[1,0,0],[1,2,3],[-1,1,-1]]))
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@pytest.mark.parametrize('proper',[True,False])
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def test_to_SST_vectorization(self,family,shape,vector,proper):
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o = Orientation.from_random(family=family,shape=shape)
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for r, theO in zip(o.to_SST(vector=vector,proper=proper).reshape((-1,3)),o.flatten()):
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assert np.allclose(r,theO.to_SST(vector=vector,proper=proper))
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@pytest.mark.parametrize('proper',[True,False])
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@pytest.mark.parametrize('family',crystal_families)
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def test_in_SST_vectorization(self,family,proper):
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vecs = np.random.rand(20,4,3)
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result = Orientation(family=family).in_SST(vecs,proper).flatten()
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for r,v in zip(result,vecs.reshape((-1,3))):
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assert np.all(r == Orientation(family=family).in_SST(v,proper))
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@pytest.mark.parametrize('family',crystal_families)
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@pytest.mark.parametrize('shape',[(1),(2,3),(4,3,2)])
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@pytest.mark.parametrize('vector',np.array([[1,0,0],[1,2,3],[-1,1,-1]]))
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@pytest.mark.parametrize('proper',[True,False])
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@pytest.mark.parametrize('in_SST',[True,False])
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def test_IPF_color_vectorization(self,family,shape,vector,proper,in_SST):
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o = Orientation.from_random(family=family,shape=shape)
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for r, theO in zip(o.IPF_color(vector,in_SST=in_SST,proper=proper).reshape((-1,3)),o.flatten()):
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assert np.allclose(r,theO.IPF_color(vector,in_SST=in_SST,proper=proper))
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@pytest.mark.parametrize('family',crystal_families)
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def test_in_FZ_vectorization(self,set_of_rodrigues,family):
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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))):
|
||||
# print(f'{a}/{b} @ {loc}')
|
||||
# print(o[tuple(loc[:len(o.shape)])].disorientation(p[tuple(loc[-len(p.shape):])]))
|
||||
# print(o.disorientation(p)[tuple(loc)])
|
||||
assert o[tuple(loc[:len(o.shape)])].disorientation(p[tuple(loc[-len(p.shape):])]) \
|
||||
.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,)),
|
||||
])
|
||||
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))):
|
||||
assert np.allclose(o[tuple(loc[:len(o.shape)])].IPF_color(v[tuple(loc[-len(v.shape[:-1]):])]),
|
||||
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))):
|
||||
assert np.allclose(o[tuple(loc[:len(o.shape)])].to_SST(v[tuple(loc[-len(v.shape[:-1]):])]),
|
||||
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))):
|
||||
assert np.allclose(o[tuple(loc[:len(o.shape)])].to_pole(uvw=v[tuple(loc[-len(v.shape[:-1]):])]),
|
||||
o.to_pole(uvw=v)[tuple(loc)])
|
||||
|
|
Loading…
Reference in New Issue