def main(ngrains=100,
sigma=15.,
c2a=1.6235,
mu=0.,
prc='cst',
isc=False,
tilt_1=0.,
tilts_about_ax1=0.,
tilts_about_ax2=0.):
"""
Arguments
=========
ngrains = 100
sigma = 15.
c2a = 1.6235
prc = 'cst' or 'ext'
tilts_about_ax1 = 0. -- Systematic tilting abount axis 1
tilts_about_ax2 = 0. -- Systematic tilting abount axis 2
tilt_1 = 0. -- Tilt in the basis pole. (systematic tilting away from ND)
"""
if isc:
h = mmm()
else:
h = np.array([np.identity(3)])
gr = []
for i in xrange(ngrains):
dth = random.uniform(-180., 180.)
if prc == 'cst':
g = gen_gr_fiber(th=dth, sigma=sigma, mu=mu, tilt=tilt_1,
iopt=0) # Basal//ND
elif prc == 'ext':
g = gen_gr_fiber(th=dth, sigma=sigma, mu=mu, tilt=tilt_1,
iopt=1) # Basal//ED
else:
raise IOError, 'Unexpected option'
for j in xrange(len(h)):
temp = np.dot(g, h[j].T)
## tilts_about_ax1
if abs(tilts_about_ax1) > 0:
g_tilt = rd_rot(tilts_about_ax1)
temp = np.dot(temp, g_tilt.T)
## tilts_about_ax2?
elif abs(tilts_about_ax2) > 0:
g_tilt = td_rot(tilts_about_ax2)
temp = np.dot(temp, g_tilt.T)
elif abs(tilts_about_ax2) > 0 and abs(tilts_about_ax2) > 0:
raise IOError, 'One tilt at a time is allowed.'
phi1, phi, phi2 = euler(a=temp, echo=False)
gr.append([phi1, phi, phi2, 1. / ngrains])
mypf = upf.polefigure(grains=gr, csym='hexag', cdim=[1, 1, c2a])
mypf.pf_new(poles=[[0, 0, 0, 2], [1, 0, -1, 0]],
cmap='jet',
ix='TD',
iy='RD')
return np.array(gr)
def gen_gr_fiber(th,sigma,mu,iopt,tilt):
"""
Arguments
=========
th = 7.
sigma = 15.
iopt = 0 (basal//ND); 1 (basal//ED)
"""
hkl, uvw = basal_fib(iopt)
if iopt==0:
g_casa = miller2mat(hkl,uvw)
g_sasa = nd_rot(th)
elif iopt==1:
g_casa = miller2mat_RT(uvw=uvw,xyz=hkl)
g_sasa = rd_rot(th)
g = np.dot(g_casa,g_sasa)
if tilt!=0:
g_tilt = rd_rot(tilt)
g = np.dot(g_tilt.T,g)
dth = gauss(mu=mu, sigma=sigma)
return rot_vectang(th=dth, r=g)
def gen_gr_fiber(th, sigma, mu, iopt, tilt):
"""
Arguments
=========
th = 7.
sigma = 15.
iopt = 0 (basal//ND); 1 (basal//ED)
"""
hkl, uvw = basal_fib(iopt)
if iopt == 0:
g_casa = miller2mat(hkl, uvw)
g_sasa = nd_rot(th)
elif iopt == 1:
g_casa = miller2mat_RT(uvw=uvw, xyz=hkl)
g_sasa = rd_rot(th)
g = np.dot(g_casa, g_sasa)
if tilt != 0:
g_tilt = rd_rot(tilt)
g = np.dot(g_tilt.T, g)
dth = gauss(mu=mu, sigma=sigma)
return rot_vectang(th=dth, r=g)
def main(ngrains=100,sigma=15.,c2a=1.6235,mu=0.,
prc='cst',isc=False,tilt_1=0.,
tilts_about_ax1=0.,tilts_about_ax2=0.):
"""
Arguments
=========
ngrains = 100
sigma = 15.
c2a = 1.6235
prc = 'cst' or 'ext'
tilts_about_ax1 = 0. -- Systematic tilting abount axis 1
tilts_about_ax2 = 0. -- Systematic tilting abount axis 2
tilt_1 = 0. -- Tilt in the basis pole. (systematic tilting away from ND)
"""
if isc:
h = mmm()
else:
h=np.array([np.identity(3)])
gr = []
for i in xrange(ngrains):
dth = random.uniform(-180., 180.)
if prc=='cst': g = gen_gr_fiber(th=dth,sigma=sigma,mu=mu,tilt=tilt_1,iopt=0) # Basal//ND
elif prc=='ext': g = gen_gr_fiber(th=dth,sigma=sigma,mu=mu,tilt=tilt_1,iopt=1) # Basal//ED
else:
raise IOError, 'Unexpected option'
for j in xrange(len(h)):
temp = np.dot(g,h[j].T)
## tilts_about_ax1
if abs(tilts_about_ax1)>0:
g_tilt = rd_rot(tilts_about_ax1)
temp = np.dot(temp,g_tilt.T)
## tilts_about_ax2?
elif abs(tilts_about_ax2)>0:
g_tilt = td_rot(tilts_about_ax2)
temp = np.dot(temp,g_tilt.T)
elif abs(tilts_about_ax2)>0 and abs(tilts_about_ax2)>0:
raise IOError, 'One tilt at a time is allowed.'
phi1,phi,phi2 = euler(a=temp, echo=False)
gr.append([phi1,phi,phi2,1./ngrains])
mypf=upf.polefigure(grains=gr,csym='hexag',cdim=[1,1,c2a])
mypf.pf_new(poles=[[0,0,0,2],[1,0,-1,0]],cmap='jet',ix='TD',iy='RD')
return np.array(gr)