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WIP (broken?): vectorized calculation of IPF color

This commit is contained in:
Martin Diehl 2020-06-19 10:54:13 +02:00
parent 1648963b57
commit 13bf7515ce
2 changed files with 97 additions and 2 deletions
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89
python/damask/_lattice.py
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@ -374,8 +374,93 @@ class Symmetry:
else:
return inSST
# code derived from https://github.com/ezag/pyeuclid
# suggested reading: http://web.mit.edu/2.998/www/QuaternionReport1.pdf
def in_SST(self,
vector,
proper = False,
color = False):
"""
Check whether given vector falls into standard stereographic triangle of own symmetry.
proper considers only vectors with z >= 0, hence uses two neighboring SSTs.
Return inverse pole figure color if requested.
Bases are computed from
>>> basis = {'cubic' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red
... [1.,0.,1.]/np.sqrt(2.), # direction of green
... [1.,1.,1.]/np.sqrt(3.)]).T), # direction of blue
... 'hexagonal' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red
... [1.,0.,0.], # direction of green
... [np.sqrt(3.),1.,0.]/np.sqrt(4.)]).T), # direction of blue
... 'tetragonal' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red
... [1.,0.,0.], # direction of green
... [1.,1.,0.]/np.sqrt(2.)]).T), # direction of blue
... 'orthorhombic': np.linalg.inv(np.array([[0.,0.,1.], # direction of red
... [1.,0.,0.], # direction of green
... [0.,1.,0.]]).T), # direction of blue
... }
"""
if self.lattice == 'cubic':
basis = {'improper':np.array([ [-1. , 0. , 1. ],
[ np.sqrt(2.) , -np.sqrt(2.) , 0. ],
[ 0. , np.sqrt(3.) , 0. ] ]),
'proper':np.array([ [ 0. , -1. , 1. ],
[-np.sqrt(2.) , np.sqrt(2.) , 0. ],
[ np.sqrt(3.) , 0. , 0. ] ]),
}
elif self.lattice == 'hexagonal':
basis = {'improper':np.array([ [ 0. , 0. , 1. ],
[ 1. , -np.sqrt(3.) , 0. ],
[ 0. , 2. , 0. ] ]),
'proper':np.array([ [ 0. , 0. , 1. ],
[-1. , np.sqrt(3.) , 0. ],
[ np.sqrt(3.) , -1. , 0. ] ]),
}
elif self.lattice == 'tetragonal':
basis = {'improper':np.array([ [ 0. , 0. , 1. ],
[ 1. , -1. , 0. ],
[ 0. , np.sqrt(2.) , 0. ] ]),
'proper':np.array([ [ 0. , 0. , 1. ],
[-1. , 1. , 0. ],
[ np.sqrt(2.) , 0. , 0. ] ]),
}
elif self.lattice == 'orthorhombic':
basis = {'improper':np.array([ [ 0., 0., 1.],
[ 1., 0., 0.],
[ 0., 1., 0.] ]),
'proper':np.array([ [ 0., 0., 1.],
[-1., 0., 0.],
[ 0., 1., 0.] ]),
}
else: # direct exit for unspecified symmetry
if color:
return (np.ones_like(vector[...,0],bool),np.zeros_like(vector))
else:
return np.ones_like(vector[...,0],bool)
b_p = np.broadcast_to(basis['proper'], vector.shape+(3,))
if proper:
b_i = np.broadcast_to(basis['improper'],vector.shape+(3,))
improper = np.all(np.around(np.einsum('...ji,...i',b_i,vector),12)>=0.0,axis=-1,keepdims=True)
theComponents = np.where(np.broadcast_to(improper,vector.shape),
np.around(np.einsum('...ji,...i',b_i,vector),12),
np.around(np.einsum('...ji,...i',b_p,vector),12))
else:
vector_ = np.block([vector[...,0:2],np.abs(vector[...,2:3])]) # z component projects identical
theComponents = np.around(np.einsum('...ji,...i',b_p,vector_),12)
in_SST = np.all(theComponents >= 0.0,axis=-1)
if color: # have to return color array
with np.errstate(invalid='ignore',divide='ignore'):
rgb = (theComponents/np.linalg.norm(theComponents,axis=-1,keepdims=True))**0.5 # smoothen color ramps
rgb = np.minimum(1.,rgb) # limit to maximum intensity
rgb /= np.max(rgb,axis=-1,keepdims=True) # normalize to (HS)V = 1
rgb[np.invert(np.broadcast_to(in_SST.reshape(vector[...,0].shape+(1,)),vector.shape))] = 0.0
return (in_SST,rgb)
else:
return in_SST
# ******************************************************************************************

10
python/damask/_orientation.py
View File

@ -176,6 +176,16 @@ class Orientation: # make subclass or Rotation?
return color
def IPF_color(self,axis):
"""TSL color of inverse pole figure for given axis."""
color = np.zeros(self.rotation.shape)
eq = self.equivalent
pole = eq.rotation @ np.broadcast_to(axis,eq.rotation.shape+(3,))
in_SST, color = self.lattice.symmetry.in_SST(pole,color=True)
return color[in_SST]
@staticmethod
def fromAverage(orientations,
weights = []):