forgotten changes in last commit + fromRandom
This commit is contained in:
parent
feca9fe0a0
commit
b97f10b6ff
|
@ -67,9 +67,7 @@ class Rotation:
|
||||||
Rotation: Details needed (active/passive), rotation of (3,3,3,3)-matrix should be considered
|
Rotation: Details needed (active/passive), rotation of (3,3,3,3)-matrix should be considered
|
||||||
"""
|
"""
|
||||||
if isinstance(other, Rotation): # rotate a rotation
|
if isinstance(other, Rotation): # rotate a rotation
|
||||||
qu = self.__class__(self.quaternion * other.quaternion)
|
return self.__class__(self.quaternion * other.quaternion).standardize()
|
||||||
qu.standardize()
|
|
||||||
return qu
|
|
||||||
elif isinstance(other, np.ndarray):
|
elif isinstance(other, np.ndarray):
|
||||||
if other.shape == (3,): # rotate a single (3)-vector
|
if other.shape == (3,): # rotate a single (3)-vector
|
||||||
( x, y, z) = self.quaternion.p
|
( x, y, z) = self.quaternion.p
|
||||||
|
@ -112,7 +110,7 @@ class Rotation:
|
||||||
|
|
||||||
def inversed(self):
|
def inversed(self):
|
||||||
"""Inverse rotation/backward rotation"""
|
"""Inverse rotation/backward rotation"""
|
||||||
return self.copy.inverse()
|
return self.copy().inverse()
|
||||||
|
|
||||||
|
|
||||||
def standardize(self):
|
def standardize(self):
|
||||||
|
@ -122,7 +120,7 @@ class Rotation:
|
||||||
|
|
||||||
def standardized(self):
|
def standardized(self):
|
||||||
"""Quaternion representation with positive q"""
|
"""Quaternion representation with positive q"""
|
||||||
return self.copy.standardize()
|
return self.copy().standardize()
|
||||||
|
|
||||||
|
|
||||||
def misorientation(self,other):
|
def misorientation(self,other):
|
||||||
|
@ -310,7 +308,20 @@ class Rotation:
|
||||||
else M + r.asM() * n # noqa add (multiples) of this rotation to average noqa
|
else M + r.asM() * n # noqa add (multiples) of this rotation to average noqa
|
||||||
eig, vec = np.linalg.eig(M/N)
|
eig, vec = np.linalg.eig(M/N)
|
||||||
|
|
||||||
return Rotation.fromQuaternion(np.real(vec.T[eig.argmax()]),acceptHomomorph = True)
|
return cls.fromQuaternion(np.real(vec.T[eig.argmax()]),acceptHomomorph = True)
|
||||||
|
|
||||||
|
|
||||||
|
@classmethod
|
||||||
|
def fromRandom(cls):
|
||||||
|
r = np.random.random(3)
|
||||||
|
A = np.sqrt(r[2])
|
||||||
|
B = np.sqrt(1.0-r[2])
|
||||||
|
w = np.cos(2.0*np.pi*r[0])*A
|
||||||
|
x = np.sin(2.0*np.pi*r[1])*B
|
||||||
|
y = np.cos(2.0*np.pi*r[1])*B
|
||||||
|
z = np.sin(2.0*np.pi*r[0])*A
|
||||||
|
return cls.fromQuaternion([w,x,y,z],acceptHomomorph=True)
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
# ******************************************************************************************
|
# ******************************************************************************************
|
||||||
|
@ -433,15 +444,18 @@ class Symmetry:
|
||||||
return symOps # yes, return list of rotations
|
return symOps # yes, return list of rotations
|
||||||
|
|
||||||
|
|
||||||
def inFZ(self,R):
|
def inFZ(self,rodrigues):
|
||||||
"""
|
"""
|
||||||
Check whether given Rodrigues vector falls into fundamental zone of own symmetry.
|
Check whether given Rodrigues vector falls into fundamental zone of own symmetry.
|
||||||
|
|
||||||
Fundamental zone in Rodrigues space is point symmetric around origin.
|
Fundamental zone in Rodrigues space is point symmetric around origin.
|
||||||
"""
|
"""
|
||||||
if np.any(R == np.inf): return False
|
if (len(rodrigues) != 3):
|
||||||
|
raise ValueError('Input is not a Rodriques-Frank vector.\n')
|
||||||
|
|
||||||
Rabs = abs(R[0:3]*R[3])
|
if np.any(rodrigues == np.inf): return False
|
||||||
|
|
||||||
|
Rabs = abs(rodrigues)
|
||||||
|
|
||||||
if self.lattice == 'cubic':
|
if self.lattice == 'cubic':
|
||||||
return math.sqrt(2.0)-1.0 >= Rabs[0] \
|
return math.sqrt(2.0)-1.0 >= Rabs[0] \
|
||||||
|
@ -471,9 +485,9 @@ class Symmetry:
|
||||||
Representation of Orientation and Disorientation Data for Cubic, Hexagonal, Tetragonal and Orthorhombic Crystals
|
Representation of Orientation and Disorientation Data for Cubic, Hexagonal, Tetragonal and Orthorhombic Crystals
|
||||||
Acta Cryst. (1991). A47, 780-789
|
Acta Cryst. (1991). A47, 780-789
|
||||||
"""
|
"""
|
||||||
R = rodrigues
|
if (len(rodrigues) != 3):
|
||||||
if (len(R) != 3):
|
|
||||||
raise ValueError('Input is not a Rodriques-Frank vector.\n')
|
raise ValueError('Input is not a Rodriques-Frank vector.\n')
|
||||||
|
R = rodrigues
|
||||||
|
|
||||||
epsilon = 0.0
|
epsilon = 0.0
|
||||||
if self.lattice == 'cubic':
|
if self.lattice == 'cubic':
|
||||||
|
@ -930,7 +944,7 @@ class Orientation:
|
||||||
r = b*aInv
|
r = b*aInv
|
||||||
for k in range(2):
|
for k in range(2):
|
||||||
r.inverse()
|
r.inverse()
|
||||||
breaker = self.lattice.symmetry.inFZ(r.asRodrigues()) \
|
breaker = self.lattice.symmetry.inFZ(r.asRodrigues(vector=True)) \
|
||||||
and (not SST or other.lattice.symmetry.inDisorientationSST(r.asRodrigues(vector=True)))
|
and (not SST or other.lattice.symmetry.inDisorientationSST(r.asRodrigues(vector=True)))
|
||||||
if breaker: break
|
if breaker: break
|
||||||
if breaker: break
|
if breaker: break
|
||||||
|
@ -942,7 +956,7 @@ class Orientation:
|
||||||
|
|
||||||
|
|
||||||
def inFZ(self):
|
def inFZ(self):
|
||||||
return self.lattice.symmetry.inFZ(self.rotation.asRodrigues())
|
return self.lattice.symmetry.inFZ(self.rotation.asRodrigues(vector=True))
|
||||||
|
|
||||||
def equivalentOrientations(self,members=[]):
|
def equivalentOrientations(self,members=[]):
|
||||||
"""List of orientations which are symmetrically equivalent"""
|
"""List of orientations which are symmetrically equivalent"""
|
||||||
|
|
|
@ -193,7 +193,7 @@ class Quaternion:
|
||||||
|
|
||||||
def normalized(self):
|
def normalized(self):
|
||||||
"""Returns normalized copy"""
|
"""Returns normalized copy"""
|
||||||
return self.copy.normalize()
|
return self.copy().normalize()
|
||||||
|
|
||||||
|
|
||||||
def conjugate(self):
|
def conjugate(self):
|
||||||
|
@ -203,7 +203,7 @@ class Quaternion:
|
||||||
|
|
||||||
def conjugated(self):
|
def conjugated(self):
|
||||||
"""Returns conjugated copy"""
|
"""Returns conjugated copy"""
|
||||||
return self.copy.conjugate()
|
return self.copy().conjugate()
|
||||||
|
|
||||||
|
|
||||||
def homomorph(self):
|
def homomorph(self):
|
||||||
|
@ -214,4 +214,4 @@ class Quaternion:
|
||||||
|
|
||||||
def homomorphed(self):
|
def homomorphed(self):
|
||||||
"""Returns homomorphed copy"""
|
"""Returns homomorphed copy"""
|
||||||
return self.copy.homomorph()
|
return self.copy().homomorph()
|
||||||
|
|
Loading…
Reference in New Issue