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@ -324,6 +324,20 @@ class Crystal():
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def kinematics(self,mode):
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"""
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Return kinematic sytems.
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Parameters
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----------
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mode : {'slip','twin'}
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Deformation mode.
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Returns
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-------
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direction_plane : dictionary
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Direction and plane of deformation mode.
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"""
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_kinematics = {
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'cF': {
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'slip' : np.array([
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@ -107,7 +107,8 @@ class Orientation(Rotation,Crystal):
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--------
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An array of 3 x 5 random orientations reduced to the fundamental zone of tetragonal symmetry:
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>>> damask.Orientation.from_random(shape=(3,5),lattice='tetragonal').reduced
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>>> import damask
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>>> o=damask.Orientation.from_random(shape=(3,5),lattice='tetragonal').reduced
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"""
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@ -712,6 +713,7 @@ class Orientation(Rotation,Crystal):
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--------
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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.IPF_color([0,0,1])
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array([1., 0., 0.])
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@ -859,7 +861,7 @@ class Orientation(Rotation,Crystal):
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Parameters
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----------
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mode : {'slip', 'twin'}
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Type of kinematics.
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Deformation mode.
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Returns
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-------
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@ -868,7 +870,7 @@ class Orientation(Rotation,Crystal):
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Examples
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--------
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Schmid matrix (in lab frame) of slip systems of a face-centered
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Schmid matrix (in lab frame) of first slip system of a face-centered
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cubic crystal in "Goss" orientation.
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>>> import damask
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@ -880,13 +882,10 @@ class Orientation(Rotation,Crystal):
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[ 0.000, 0.000, 0.000]])
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"""
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try:
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d = self.to_frame(uvw=self.kinematics(mode)['direction'])
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p = self.to_frame(hkl=self.kinematics(mode)['plane'])
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except KeyError:
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raise (f'"{mode}" not defined for lattice "{self.lattice}"')
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P = np.einsum('...i,...j',d/np.linalg.norm(d,axis=-1,keepdims=True),
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p/np.linalg.norm(p,axis=-1,keepdims=True))
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d = self.to_frame(uvw=self.kinematics(mode)['direction'])
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p = self.to_frame(hkl=self.kinematics(mode)['plane'])
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P = np.einsum('...i,...j',d/np.linalg.norm(d,axis=1,keepdims=True),
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p/np.linalg.norm(p,axis=1,keepdims=True))
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return ~self.broadcast_to( self.shape+P.shape[:-2],mode='right') \
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@ np.broadcast_to(P,self.shape+P.shape)
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@ -287,6 +287,8 @@ def project_stereographic(vector,direction='z',normalize=True,keepdims=False):
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Examples
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--------
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>>> import damask
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>>> import numpy as np
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>>> project_stereographic(np.ones(3))
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[0.3660254, 0.3660254]
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>>> project_stereographic(np.ones(3),direction='x',normalize=False,keepdims=True)
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@ -339,7 +341,7 @@ def hybrid_IA(dist,N,rng_seed=None):
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def shapeshifter(fro,to,mode='left',keep_ones=False):
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"""
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Return a tuple that reshapes 'fro' to become broadcastable to 'to'.
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Return dimensions that reshape 'fro' to become broadcastable to 'to'.
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Parameters
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----------
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@ -356,6 +358,22 @@ def shapeshifter(fro,to,mode='left',keep_ones=False):
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Treat '1' in fro as literal value instead of dimensional placeholder.
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Defaults to False.
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Returns
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-------
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new_dims : tuple
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Dimensions for reshape.
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Example
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-------
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>>> import numpy as np
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>>> from damask import util
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>>> a = np.ones((3,4,2))
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>>> b = np.ones(4)
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>>> b_extended = b.reshape(util.shapeshifter(b.shape,a.shape))
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>>> (a * np.broadcast_to(b_extended,a.shape)).shape
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(3,4,2)
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"""
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beg = dict(left ='(^.*\\b)',
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right='(^.*?\\b)')
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