simplified/separated
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@ -2,6 +2,7 @@ import numpy as np
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from . import util
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from . import util
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from . import LatticeFamily
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from . import LatticeFamily
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from . import Rotation
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lattice_symmetries = {
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lattice_symmetries = {
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'aP': 'triclinic',
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'aP': 'triclinic',
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@ -205,6 +206,56 @@ class Lattice(LatticeFamily):
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'plane': master[:,3:6]}
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'plane': master[:,3:6]}
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def relation_operations(self,model):
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"""
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Crystallographic orientation relationships for phase transformations.
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Parameters
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----------
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model : str
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Name of orientation relationship.
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Returns
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-------
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operations : (string, damask.Rotation)
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Rotations characterizing the orientation relationship.
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References
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----------
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S. Morito et al., Journal of Alloys and Compounds 577:s587-s592, 2013
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https://doi.org/10.1016/j.jallcom.2012.02.004
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K. Kitahara et al., Acta Materialia 54(5):1279-1288, 2006
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https://doi.org/10.1016/j.actamat.2005.11.001
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Y. He et al., Journal of Applied Crystallography 39:72-81, 2006
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https://doi.org/10.1107/S0021889805038276
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H. Kitahara et al., Materials Characterization 54(4-5):378-386, 2005
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https://doi.org/10.1016/j.matchar.2004.12.015
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Y. He et al., Acta Materialia 53(4):1179-1190, 2005
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https://doi.org/10.1016/j.actamat.2004.11.021
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"""
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if model not in self.orientation_relationships:
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raise KeyError(f'unknown orientation relationship "{model}"')
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r = self.orientation_relationships[model]
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sl = self.lattice
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ol = (set(r)-{sl}).pop()
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m = r[sl]
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o = r[ol]
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p_,_p = np.zeros(m.shape[:-1]+(3,)),np.zeros(o.shape[:-1]+(3,))
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p_[...,0,:] = m[...,0,:] if m.shape[-1] == 3 else util.Bravais_to_Miller(uvtw=m[...,0,0:4])
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p_[...,1,:] = m[...,1,:] if m.shape[-1] == 3 else util.Bravais_to_Miller(hkil=m[...,1,0:4])
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_p[...,0,:] = o[...,0,:] if o.shape[-1] == 3 else util.Bravais_to_Miller(uvtw=o[...,0,0:4])
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_p[...,1,:] = o[...,1,:] if o.shape[-1] == 3 else util.Bravais_to_Miller(hkil=o[...,1,0:4])
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return (ol,Rotation.from_parallel(p_,_p))
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@property
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@property
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def orientation_relationships(self):
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def orientation_relationships(self):
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return {k:v for k,v in self._orientation_relationships.items() if self.lattice in v}
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return {k:v for k,v in self._orientation_relationships.items() if self.lattice in v}
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@ -167,7 +167,7 @@ class Orientation(Rotation):
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self.to_frame = l.to_frame
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self.to_frame = l.to_frame
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self.kinematics = l.kinematics
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self.kinematics = l.kinematics
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self.orientation_relationships = l.orientation_relationships
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self.relation_operations = l.relation_operations
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else:
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else:
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raise KeyError(f'no valid family or lattice')
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raise KeyError(f'no valid family or lattice')
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@ -866,60 +866,6 @@ class Orientation(Rotation):
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@ np.broadcast_to(P,self.shape+P.shape)
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@ np.broadcast_to(P,self.shape+P.shape)
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def relation_operations(self,model,return_lattice=False):
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"""
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Crystallographic orientation relationships for phase transformations.
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Parameters
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----------
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model : str
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Name of orientation relationship.
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return_lattice : bool, optional
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Return the target lattice in addition.
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Returns
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-------
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operations : Rotations
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Rotations characterizing the orientation relationship.
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References
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----------
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S. Morito et al., Journal of Alloys and Compounds 577:s587-s592, 2013
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https://doi.org/10.1016/j.jallcom.2012.02.004
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K. Kitahara et al., Acta Materialia 54(5):1279-1288, 2006
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https://doi.org/10.1016/j.actamat.2005.11.001
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Y. He et al., Journal of Applied Crystallography 39:72-81, 2006
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https://doi.org/10.1107/S0021889805038276
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H. Kitahara et al., Materials Characterization 54(4-5):378-386, 2005
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https://doi.org/10.1016/j.matchar.2004.12.015
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Y. He et al., Acta Materialia 53(4):1179-1190, 2005
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https://doi.org/10.1016/j.actamat.2004.11.021
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"""
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if model not in self.orientation_relationships:
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raise KeyError(f'unknown orientation relationship "{model}"')
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r = self.orientation_relationships[model]
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sl = self.lattice
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ol = (set(r)-{sl}).pop()
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m = r[sl]
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o = r[ol]
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p_,_p = np.zeros(m.shape[:-1]+(3,)),np.zeros(o.shape[:-1]+(3,))
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p_[...,0,:] = m[...,0,:] if m.shape[-1] == 3 else util.Bravais_to_Miller(uvtw=m[...,0,0:4])
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p_[...,1,:] = m[...,1,:] if m.shape[-1] == 3 else util.Bravais_to_Miller(hkil=m[...,1,0:4])
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_p[...,0,:] = o[...,0,:] if o.shape[-1] == 3 else util.Bravais_to_Miller(uvtw=o[...,0,0:4])
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_p[...,1,:] = o[...,1,:] if o.shape[-1] == 3 else util.Bravais_to_Miller(hkil=o[...,1,0:4])
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return (Rotation.from_parallel(p_,_p),ol) \
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if return_lattice else \
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Rotation.from_parallel(p_,_p)
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def related(self,model):
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def related(self,model):
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"""
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"""
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Orientations derived from the given relationship.
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Orientations derived from the given relationship.
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@ -928,7 +874,7 @@ class Orientation(Rotation):
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is added to the left of the Rotation array.
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is added to the left of the Rotation array.
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"""
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"""
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o,lattice = self.relation_operations(model,return_lattice=True)
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lattice,o = self.relation_operations(model)
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target = Orientation(lattice=lattice)
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target = Orientation(lattice=lattice)
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o = o.broadcast_to(o.shape+self.shape,mode='right')
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o = o.broadcast_to(o.shape+self.shape,mode='right')
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return self.copy(rotation=o*Rotation(self.quaternion).broadcast_to(o.shape,mode='left'),
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return self.copy(rotation=o*Rotation(self.quaternion).broadcast_to(o.shape,mode='left'),
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