def mse_worker(args):
i_range, psi, det_mod = args
indvdl_mse = []
p = det_mod[0].data[0].shape[0]
for i in i_range:
psi_sum = CXModal.modal_sum(abs(fft2(psi.getat(i))))
indvdl_mse.append(sp.sum((abs(psi_sum - det_mod[i]) ** 2.).data[0]) / sp.sum(det_mod[i].data[0] ** 2.))
return indvdl_mse
def error(self, psi, det_mod):
""".. method:: error(psi, det_mod)
Calculates the MSE at a given position given the modes at that position.
:param CXModal psi: A list of CXData instances containing all modes at a given position.
:param np.ndarray det_mod: Modulus of measured diffraction pattern.
"""
mode_sum = CXModal.modal_sum(abs(fft2(psi)))
return (sp.sum((abs(mode_sum - det_mod) ** 2.).data[0]) / sp.sum(det_mod.data[0] ** 2.))**0.5
def update_probe_nonmodal(self, i, psi_old, psi_new):
d1, d2 = self.positions.data
id1, id2 = d1//1, d2//1
object_intensity_max = (abs(self.object)**2.0).data[0].max()
self.probe.modes[0] += \
CXData.shift(conj(self.object[id1[i] - self.p2:id1[i] + self.p2, id2[i] - self.p2:id2[i] + self.p2]) *
(psi_new-psi_old)[0] / object_intensity_max, d1[i]%1, d2[i]%1)
self.probe.normalise()
def update_probe(self, i, psi_old, psi_new):
d1, d2 = self.positions.data
id1, id2 = d1//1, d2//1
object_intensity_max = (abs(self.object)**2.0).data[0].max()
for mode in range(len(self.probe)):
self.probe.modes[mode] += \
CXData.shift(conj(self.object[id1[i] - self.p2:id1[i] + self.p2, id2[i] - self.p2:id2[i] + self.p2]) *
(psi_new-psi_old)[mode] / object_intensity_max, d1[i]%1, d2[i]%1)
self.probe.normalise()
self.probe.orthogonalise()
def M(psi, det_mod):
""".. method:: M(mode, psi_modes, det_mod)
Applies modulus constraint to psi_modes(mode) for a given position.
:param list psi_modes: A list of CXData instances containing all modes at a given position.
:param np.ndarray det_mod: Modulus of measured diffraction pattern.
"""
if isinstance(psi, CXData):
return ifft2(det_mod * exp(complex(0., 1.) * angle(fft2(psi))))
elif isinstance(psi, CXModal):
mode_sum = CXModal.modal_sum(abs(fft2(psi))**2.0)**0.5
return ifft2((fft2(psi)/(mode_sum))*det_mod)
def update_object(self, i, psi_old, psi_new):
"""
Update the object from a single ptycho position.
"""
then=time.time()
d1, d2 = self.positions.data
id1, id2 = d1//1, d2//1
probe_intensity_max = CXModal.modal_sum(abs(self.probe)**2.0).data[0].max()
self.object[id1[i] - self.p2:id1[i] + self.p2, id2[i] - self.p2:id2[i] + self.p2] += \
CXData.shift(CXModal.modal_sum(conj(self.probe) * (psi_new-psi_old)) / probe_intensity_max,
d1[i]%1, d2[i]%1)
if self.total_its==0 and sp.mod(i, len(self.positions.data[0]) / 10) == 0:
self.update_figure(i)
def init_probe(self, *args, **kwargs):
if CXP.io.initial_probe_guess is not '':
probe = CXData()
probe.load(CXP.io.initial_probe_guess)
self.probe.modes = [CXData(data=[probe.data[0]/(i+1)]) for i in range(CXP.reconstruction.probe_modes)]
self.probe.normalise()
else:
dx_s = CXP.dx_s
p, p2 = CXP.preprocessing.desired_array_shape, CXP.preprocessing.desired_array_shape/2
probe = sp.zeros((p, p), complex)
if CXP.experiment.optic.lower() == 'kb':
if len(CXP.experiment.beam_size)==1:
bsx=bsy=np.round(CXP.experiment.beam_size[0]/dx_s)
elif len(CXP.experiment.beam_size)==2:
bsx, bsy = np.round(CXP.experiment.beam_size[0]/dx_s), np.round(CXP.experiment.beam_size[1]/dx_s)
probe = np.sinc((np.arange(p)-p2)/bsx)[:,np.newaxis]*np.sinc((np.arange(p)-p2)/bsy)[np.newaxis,:]
elif CXP.experiment.optic.lower() == 'zp':
probe = np.sinc(sp.hypot(*sp.ogrid[-p2:p2, -p2:p2])/np.round(3.*CXP.experiment.beam_size[0]/(2*CXP.dx_s)))
ph_func = gauss_smooth(np.random.random(probe.shape), 10)
fwhm = p/2.0
radker = sp.hypot(*sp.ogrid[-p/2:p/2,-p/2:p/2])
gaussian = exp(-1.0*(fwhm/2.35)**-2. * radker**2.0 )
gaussian /= gaussian.max()
probe = abs(gaussian*probe)* exp(complex(0.,np.pi)*ph_func/ph_func.max())
self.probe.modes = [CXData(data=[probe/(i+1)]) for i in range(CXP.reconstruction.probe_modes)]
self.probe.normalise()
def ptycho_mesh(self):
"""
Generate a list of ptycho scan positions.
Outputs
-------
self.data : list of 2xN arrays containing horizontal and vertical scan positions in pixels
self.initial : initial guess at ptycho scan positions (before position correction)
self.initial_skew : initial skew
self.initial_rot : initial rotation
self.initial_scl : initial scaling
self.skew : current best guess at skew
self.rot : current best guess at rotation
self.scl : current best guess at scaling
self.total : total number of ptycho positions
[optional]
self.correct : for simulated data this contains the correct position
"""
CXP.log.info('Getting ptycho position mesh.')
if CXP.measurement.ptycho_scan_mesh == 'generate':
if CXP.measurement.ptycho_scan_type == 'cartesian':
x2 = 0.5*(CXP.measurement.cartesian_scan_dims[0]-1)
y2 = 0.5*(CXP.measurement.cartesian_scan_dims[1]-1)
tmp = map(lambda a: CXP.measurement.cartesian_step_size*a, np.mgrid[-x2:x2+1, -y2:y2+1])
self.positions.data = [tmp[0].flatten(), tmp[1].flatten()]
if CXP.reconstruction.flip_mesh_lr:
self.log.info('Flip ptycho mesh left-right')
self.positions.data[0] = self.data[0][::-1]
if CXP.reconstruction.flip_mesh_ud:
self.log.info('Flip ptycho mesh up-down')
self.positions.data[1] = self.data[1][::-1]
if CXP.reconstruction.flip_fast_axis:
self.log.info('Flip ptycho mesh fast axis')
tmp0, tmp1 = self.data[0], self.data[1]
self.positions.data[0], self.positions.data[1] = tmp1, tmp0
if CXP.measurement.ptycho_scan_type == 'round_roi':
self.positions.data = list(round_roi(CXP.measurement.round_roi_diameter, CXP.measurement.round_roi_step_size))
if CXP.measurement.ptycho_scan_type == 'list':
l = np.genfromtxt(CXP.measurement.list_scan_filename)
x_pos, y_pos = [], []
for element in l:
x_pos.append(element[0])
y_pos.append(element[1])
self.positions.data = [sp.array(x_pos), sp.array(y_pos)]
elif CXP.measurement.ptycho_scan_mesh == 'supplied':
l = np.genfromtxt(CXP.measurement.list_scan_filename)
x_pos, y_pos = [], []
for element in l:
x_pos.append(element[0])
y_pos.append(element[1])
self.positions.data = [sp.array(x_pos), sp.array(y_pos)]
for element in self.positions.data:
element /= CXP.dx_s
element += CXP.ob_p/2
self.positions.total = len(self.positions.data[0])
self.positions.correct = [sp.zeros((self.positions.total))]*2
jit_pix = CXP.reconstruction.initial_position_jitter_radius
search_pix = CXP.reconstruction.ppc_search_radius
self.positions.data[0] += jit_pix * uniform(-1, 1, self.positions.total)
self.positions.data[1] += jit_pix * uniform(-1, 1, self.positions.total)
if CXP.reconstruction.probe_position_correction:
self.positions.correct[0] = self.positions.data[0]+0.25*search_pix * uniform(-1, 1, self.positions.total)
self.positions.correct[1] = self.positions.data[1]+0.25*search_pix * uniform(-1, 1, self.positions.total)
else:
self.positions.correct = [self.positions.data[0].copy(), self.positions.data[1].copy()]
data_copy = CXData(data=list(self.positions.data))
if not CXP.reconstruction.ptycho_subpixel_shift:
self.positions.data = [np.round(self.positions.data[0]), np.round(self.positions.data[1])]
self.positions.correct = [np.round(self.positions.correct[0]), np.round(self.positions.correct[1])]
CXP.rms_rounding_error = [None]*2
for i in range(2):
CXP.rms_rounding_error[i] = sp.sqrt(sp.sum(abs(abs(data_copy.data[i])**2.-abs(self.positions.data[i])**2.)))
CXP.log.info('RMS Rounding Error (Per Position, X, Y):\t {:2.2f}, {:2.2f}'.format(CXP.rms_rounding_error[0]/len(self.positions.data[0]),
CXP.rms_rounding_error[1]/len(self.positions.data[1])))
def update_figure(self, i=0):
cur_cmap = cm.RdGy_r
self.f1.clf()
self.init_figure()
wh = sp.where(abs(self.object.data[0]) > 0.1 * (abs(self.object.data[0]).max()))
try:
x1, x2 = min(wh[0]), max(wh[0])
y1, y2 = min(wh[1]), max(wh[1])
except (ValueError, IndexError):
x1, x2 = 0, self.ob_p
y1, y2 = 0, self.ob_p
# Plot magnitude of object
s1 = pylab.subplot(231)
s1_im = s1.imshow(abs(self.object).data[0][x1:x2, y1:y2], cmap=cm.Greys_r)
s1.set_title('|object|')
plt.axis('off')
pylab.colorbar(s1_im)
# Plot phase of object
s2 = pylab.subplot(232)
s2_im = s2.imshow(sp.angle(self.object.data[0][x1:x2, y1:y2]), cmap=cm.hsv)
s2.set_title('phase(object)')
plt.axis('off')
pylab.colorbar(s2_im)
# Complex HSV plot of object
s3 = pylab.subplot(233)
h = ((angle(self.object).data[0][x1:x2, y1:y2] + np.pi) / (2*np.pi)) % 1.0
s = np.ones_like(h)
l = abs(self.object).data[0][x1:x2, y1:y2]
l-=l.min()
l/=l.max()
s3_im = s3.imshow(np.dstack(v_hls_to_rgb(h,l,s)))
s3.set_title('Complex plot of Object')
plt.axis('off')
# Plot probe mode 0
s4 = pylab.subplot(234)
s4_im = s4.imshow(abs(self.probe.modes[0].data[0]), cmap=cur_cmap)
s4.set_title('|probe0|')
plt.axis('off')
pylab.colorbar(s4_im)
if CXP.reconstruction.probe_modes>1:
s5 = pylab.subplot(235)
s5_im = s5.imshow(abs(self.probe.modes[1].data[0]), cmap=cur_cmap)
s5.set_title('|probe1|')
plt.axis('off')
pylab.colorbar(s5_im)
else:
pass
if self.ppc:
s6 = self.f1.add_subplot(236)
s6_im = s6.scatter(self.positions.data[0], self.positions.data[1], s=10,
c='b', marker='o', alpha=0.5, edgecolors='none', label='current')
patches = []
for m in range(self.positions.total):
patches.append(Circle((self.positions.initial[0][m], self.positions.initial[1][m]),
radius=CXP.reconstruction.ppc_search_radius))
collection = PatchCollection(patches, color='tomato', alpha=0.2, edgecolors=None)
s4.add_collection(collection)
if CXP.measurement.simulate_data:
s4_im = s4.scatter(self.positions.correct[0], self.positions.correct[1], s=10,
c='g', marker='o', alpha=0.5, edgecolors='none', label='correct')
CXP.log.info('RMS position deviation from correct: [x:{:3.2f},y:{:3.2f}] pixels'.format(
sp.sqrt(sp.mean((self.positions.data[0] - self.positions.correct[0])**2.)),
sp.sqrt(sp.mean((self.positions.data[1] - self.positions.correct[1])**2.))))
lines=[]
for m in range(self.positions.total):
lines.append(((self.positions.correct[0][m], self.positions.correct[1][m]),
(self.positions.data[0][m], self.positions.data[1][m])))
for element in lines:
x, y = zip(*element)
s4.plot(x, y, 'g-')
else:
lines = []
for m in range(self.positions.total):
lines.append(((self.positions.initial[0][m], self.positions.initial[1][m]),
(self.positions.data[0][m], self.positions.data[1][m])))
for element in lines:
x, y = zip(*element)
s6.plot(x, y, 'g-')
CXP.log.info('RMS position deviation from initial: [x:{:3.2f},y:{:3.2f}] pixels'.format(
sp.sqrt(sp.mean((self.positions.data[0] - self.positions.initial[0])**2.)),
sp.sqrt(sp.mean((self.positions.data[1] - self.positions.initial[1])**2.))))
s6.legend(prop={'size': 6})
s6.set_title('Position Correction')
s6.set_aspect('equal')
extent = s6.get_window_extent().transformed(self.f1.dpi_scale_trans.inverted())
pylab.savefig(self._cur_sequence_dir + '/ppc_{:d}.png'.format(self.total_its), bbox_inches=extent.expanded(1.2, 1.2), dpi=100)
s6.set_aspect('auto')
else:
s6 = pylab.subplot(236)
if CXP.measurement.simulate_data:
s6_im = s6.imshow(abs(self.input_probe[1].data[0]), cmap = cur_cmap)
s6.set_title('|input_probe1|')
else:
s6_im = s6.imshow(nlog(fftshift(self.det_mod[np.mod(i,self.positions.total)])).data[0], cmap=cur_cmap)
s6.set_title('Diff Patt: {:d}'.format(i))
plt.axis('off')
pylab.colorbar(s6_im)
pylab.draw()
pylab.savefig(self._cur_sequence_dir + '/recon_{:d}.png'.format(self.total_its), dpi=60)
def simulate_data(self):
CXP.log.info('Simulating diffraction patterns.')
self.sample = CXData()
self.sample.load(CXP.io.simulation_sample_filename[0])
self.sample.data[0] = self.sample.data[0].astype(float)
self.sample.normalise(val=0.8)
self.sample.data[0]+=0.2
self.input_probe = CXModal()
if len(CXP.io.simulation_sample_filename)>1:
ph = CXData()
ph.load(CXP.io.simulation_sample_filename[1])
ph.data[0] = ph.data[0].astype(float)
ph.normalise(val=np.pi/3)
self.sample.data[0] = self.sample.data[0]*exp(complex(0., 1.)*ph.data[0])
p = self.sample.data[0].shape[0]
ham_window = sp.hamming(p)[:,np.newaxis]*sp.hamming(p)[np.newaxis,:]
sample_large = CXData(data=sp.zeros((CXP.ob_p, CXP.ob_p), complex))
sample_large.data[0][CXP.ob_p/2-p/2:CXP.ob_p/2+p/2, CXP.ob_p/2-p/2:CXP.ob_p/2+p/2] = self.sample.data[0]*ham_window
ker = sp.arange(0, p)
fwhm = p/3.0
radker = sp.hypot(*sp.ogrid[-p/2:p/2,-p/2:p/2])
gaussian = exp(-1.0*(fwhm/2.35)**-2. * radker**2.0 )
ortho_modes = lambda n1, n2 : gaussian*np.sin(n1*math.pi*ker/p)[:,np.newaxis]*np.sin(n2*math.pi*ker/p)[np.newaxis, :]
mode_generator = lambda : sp.floor(4*sp.random.random(2))+1
used_modes = []
self.input_psi = CXModal()
for mode in range(CXP.reconstruction.probe_modes):
if mode==0:
new_mode = [1,1]
else:
new_mode = list(mode_generator())
while new_mode in used_modes:
new_mode = list(mode_generator())
used_modes.append(new_mode)
CXP.log.info('Simulating mode {:d}: [{:d}, {:d}]'.format(mode, int(new_mode[0]), int(new_mode[1])))
ph_func = gauss_smooth(np.random.random((p,p)), 10)
self.input_probe.modes.append(CXData(name='probe{:d}'.format(mode),
data=ortho_modes(new_mode[0], new_mode[1])*exp(complex(0.,np.pi)*ph_func/ph_func.max())))
self.input_probe.normalise()
self.input_probe.orthogonalise()
for mode in range(CXP.reconstruction.probe_modes):
p2 = p/2
x, y = self.positions.correct
self.input_psi.modes.append(CXData(name='input_psi_mode{:d}'.format(mode), data=[]))
for i in xrange(len(x)):
if i%(len(x)/10)==0.:
CXP.log.info('Simulating diff patt {:d}'.format(i))
tmp = (CXData.shift(sample_large, -1.0*(x[i]-CXP.ob_p/2), -1.0*(y[i]-CXP.ob_p/2))
[CXP.ob_p/2-p2:CXP.ob_p/2+p2, CXP.ob_p/2-p2:CXP.ob_p/2+p2]*
self.input_probe[mode][0])
self.input_psi[mode].data.append(tmp.data[0])
# Add modes incoherently
self.det_mod = CXModal.modal_sum(abs(fft2(self.input_psi)))
self.det_mod.save(path=CXP.io.base_dir+'/'+CXP.io.scan_id+'/raw_data/{:s}.npy'.format('det_mod'))
