Merge branch 'orientationClass_with_negative_P' into development

This commit is contained in:
Martin Diehl 2018-12-06 07:26:08 +01:00
commit e8f4dc4c9f
4 changed files with 43 additions and 42 deletions

View File

@ -62,8 +62,7 @@ class Quaternion:
def __copy__(self):
"""Copy"""
Q = Quaternion(q=self.q,p=self.p)
return Q
return self.__class__(q=self.q,p=self.p.copy())
copy = __copy__
@ -73,15 +72,13 @@ class Quaternion:
def __pow__(self, exponent):
"""Power"""
Q = Quaternion()
omega = math.acos(self.q)
Q.q = math.cos(exponent*omega)
Q.p = self.p * math.sin(exponent*omega)/math.sin(omega)
return Q
return self.__class__(q= math.cos(exponent*omega),
p=self.p * math.sin(exponent*omega)/math.sin(omega))
def __ipow__(self, exponent):
"""In-place power"""
omega = math.acos(self.q[0])
omega = math.acos(self.q)
self.q = math.cos(exponent*omega)
self.p *= math.sin(exponent*omega)/math.sin(omega)
return self
@ -91,21 +88,25 @@ class Quaternion:
# Rowenhorst_etal2015 MSMSE: value of P is selected as -1
P = -1.0
try: # quaternion
Q = Quaternion()
Q.q = self.q*other.q - np.dot(self.p,other.p)
Q.p = self.q*other.p + other.q*self.p + P * np.cross(self.p,other.p)
return Q
return self.__class__(q=self.q*other.q - np.dot(self.p,other.p),
p=self.q*other.p + other.q*self.p + P * np.cross(self.p,other.p))
except: pass
try: # vector (perform passive rotation)
return (self.q*self.q - np.dot(self.p,self.p)) * np.array(other[:3]) \
+ 2.0*np.dot(self.p,other[:3]) * self.p \
+ 2.0*P*self.q * np.cross(self.p,other[:3])
( x, y, z) = self.p
(Vx,Vy,Vz) = other[0:3]
A = self.q*self.q - np.dot(self.p,self.p)
B = 2.0 * (x*Vx + y*Vy + z*Vz)
C = 2.0 * P*self.q
return np.array([
A*Vx + B*x + C*(y*Vz - z*Vy),
A*Vy + B*y + C*(z*Vx - x*Vz),
A*Vz + B*z + C*(x*Vy - y*Vx),
])
except: pass
try: # scalar
Q = self.copy()
Q.q *= other
Q.p *= other
return Q
return self.__class__(q=self.q*other,
p=self.p*other)
except:
return self.copy()
@ -122,9 +123,8 @@ class Quaternion:
def __div__(self, other):
"""Division"""
if isinstance(other, (int,float)):
q = self.q / other
p = self.p / other
return self.__class__(q=q,p=p)
return self.__class__(q=self.q / other,
p=self.p / other)
else:
return NotImplemented
@ -138,9 +138,8 @@ class Quaternion:
def __add__(self, other):
"""Addition"""
if isinstance(other, Quaternion):
q = self.q + other.q
p = self.p + other.p
return self.__class__(q=q,p=p)
return self.__class__(q=self.q + other.q,
p=self.p + other.p)
else:
return NotImplemented
@ -154,12 +153,10 @@ class Quaternion:
def __sub__(self, other):
"""Subtraction"""
if isinstance(other, Quaternion):
Q = self.copy()
Q.q -= other.q
Q.p -= other.p
return Q
return self.__class__(q=self.q - other.q,
p=self.p - other.p)
else:
return self.copy()
return NotImplemented
def __isub__(self, other):
"""In-place subtraction"""
@ -190,7 +187,8 @@ class Quaternion:
def __cmp__(self,other):
"""Linear ordering"""
return (self.Rodrigues()>other.Rodrigues()) - (self.Rodrigues()<other.Rodrigues())
return (1 if np.linalg.norm(self.asRodrigues()) > np.linalg.norm(other.asRodrigues()) else 0) \
- (1 if np.linalg.norm(self.asRodrigues()) < np.linalg.norm(other.asRodrigues()) else 0)
def magnitude_squared(self):
return self.q ** 2 + np.dot(self.p,self.p)
@ -203,7 +201,8 @@ class Quaternion:
def normalize(self):
d = self.magnitude()
if d > 0.0:
self /= d
self.q /= d
self.p /= d
return self
def conjugate(self):
@ -322,9 +321,11 @@ class Quaternion:
@classmethod
def fromRodrigues(cls, rodrigues):
if not isinstance(rodrigues, np.ndarray): rodrigues = np.array(rodrigues)
halfangle = math.atan(np.linalg.norm(rodrigues))
norm = np.linalg.norm(rodrigues)
halfangle = math.atan(norm)
s = math.sin(halfangle)
c = math.cos(halfangle)
return cls(q=c,p=rodrigues/c)
return cls(q=c,p=s*rodrigues/norm)
@classmethod
@ -860,7 +861,7 @@ class Orientation:
M = closest.quaternion.asM() * n if i == 0 else M + closest.quaternion.asM() * n # noqa add (multiples) of this orientation to average noqa
eig, vec = np.linalg.eig(M/N)
return Orientation(quaternion = Quaternion(quatArray = np.real(vec.T[eig.argmax()])),
return Orientation(quaternion = Quaternion(quat = np.real(vec.T[eig.argmax()])),
symmetry = reference.symmetry.lattice)

View File

@ -200,9 +200,9 @@ for name in filenames:
if gID != -1 and gID not in alreadyChecked: # indexed point belonging to a grain not yet tested?
alreadyChecked[gID] = True # remember not to check again
disorientation = o.disorientation(orientations[gID],SST = False)[0] # compare against other orientation
if disorientation.quaternion.w > cos_disorientation: # within threshold ...
if disorientation.quaternion.q > cos_disorientation: # within threshold ...
candidates.append(gID) # remember as potential candidate
if disorientation.quaternion.w >= bestDisorientation.w: # ... and better than current best?
if disorientation.quaternion.q >= bestDisorientation.q: # ... and better than current best?
matched = True
matchedID = gID # remember that grain
bestDisorientation = disorientation.quaternion

View File

@ -64,11 +64,11 @@ if options.dimension is None:
parser.error('no dimension specified.')
if options.angleaxis is not None:
options.angleaxis = list(map(float,options.angleaxis))
rotation = damask.Quaternion().fromAngleAxis(np.radians(options.angleaxis[0]) if options.degrees else options.angleaxis[0],
options.angleaxis[1:4])
rotation = damask.Quaternion.fromAngleAxis(np.radians(options.angleaxis[0]) if options.degrees else options.angleaxis[0],
options.angleaxis[1:4])
elif options.quaternion is not None:
options.quaternion = map(float,options.quaternion)
rotation = damask.Quaternion(options.quaternion)
options.quaternion = list(map(float,options.quaternion))
rotation = damask.Quaternion(quat=options.quaternion)
else:
rotation = damask.Quaternion()

View File

@ -258,7 +258,7 @@ for name in filenames:
if len(grains) > 0: # check immediate neighborhood first
cos_disorientations = np.array([o.disorientation(orientations[grainID],
SST = False)[0].quaternion.w \
SST = False)[0].quaternion.q \
for grainID in grains]) # store disorientation per grainID
closest_grain = np.argmax(cos_disorientations) # grain among grains with closest orientation to myself
match = 'local'
@ -269,7 +269,7 @@ for name in filenames:
if len(grains) > 0:
cos_disorientations = np.array([o.disorientation(orientations[grainID],
SST = False)[0].quaternion.w \
SST = False)[0].quaternion.q \
for grainID in grains]) # store disorientation per grainID
closest_grain = np.argmax(cos_disorientations) # grain among grains with closest orientation to myself
match = 'global'