def calculate_gradients(self, apm):
"calculate the gradient vector"
a = self.error_model.components["a"].parameters[0]
b = apm.x[0]
Ih_table = self.error_model.binner.Ih_table
I_hl = Ih_table.intensities
g_hl = Ih_table.inverse_scale_factors
weights = self.error_model.binner.weights
bin_vars = self.error_model.binner.bin_variances
sum_matrix = self.error_model.binner.summation_matrix
bin_counts = self.error_model.binner.binning_info["refl_per_bin"]
dsig_dc = (b * flex.pow2(I_hl) * (a**2) /
(self.error_model.binner.sigmaprime * flex.pow2(g_hl)))
ddelta_dsigma = (-1.0 * self.error_model.binner.delta_hl /
self.error_model.binner.sigmaprime)
deriv = ddelta_dsigma * dsig_dc
dphi_by_dvar = -2.0 * (flex.double(bin_vars.size(), 0.5) - bin_vars +
(1.0 / (2.0 * flex.pow2(bin_vars))))
term1 = 2.0 * self.error_model.binner.delta_hl * deriv * sum_matrix
term2a = self.error_model.binner.delta_hl * sum_matrix
term2b = deriv * sum_matrix
grad = dphi_by_dvar * ((term1 / bin_counts) -
(2.0 * term2a * term2b / flex.pow2(bin_counts)))
gradients = flex.double([flex.sum(grad * weights) / flex.sum(weights)])
return gradients
def compute_overall_stats(self):
# Create lookups for elements by miller index
index_lookup = defaultdict(list)
for i, h in enumerate(self.reflection_table["miller_index"]):
index_lookup[h].append(i)
# Compute the Overall Sum(X) and Sum(X^2) for each unique reflection
for h in index_lookup:
sel = flex.size_t(index_lookup[h])
intensities = self.reflection_table["intensity"].select(sel)
n = intensities.size()
sum_x = flex.sum(intensities)
sum_x2 = flex.sum(flex.pow2(intensities))
self.reflection_sums[h] = ReflectionSum(sum_x, sum_x2, n)
# Compute some numbers
self._num_datasets = len(set(self.reflection_table["dataset"]))
self._num_groups = len(set(self.reflection_table["group"]))
self._num_reflections = self.reflection_table.size()
self._num_unique = len(self.reflection_sums)
logger.info(
"""
Summary of input data:
# Datasets: %s
# Groups: %s
# Reflections: %s
# Unique reflections: %s""",
self._num_datasets,
self._num_groups,
self._num_reflections,
self._num_unique,
)
def check_experiment(experiment, reflections):
# predict reflections in place
from dials.algorithms.spot_prediction import StillsReflectionPredictor
sp = StillsReflectionPredictor(experiment)
UB = experiment.crystal.get_A()
try:
sp.for_reflection_table(reflections, UB)
except RuntimeError:
return False
# calculate unweighted RMSDs
x_obs, y_obs, _ = reflections['xyzobs.px.value'].parts()
delpsi = reflections['delpsical.rad']
x_calc, y_calc, _ = reflections['xyzcal.px'].parts()
# calculate residuals and assign columns
x_resid = x_calc - x_obs
x_resid2 = x_resid**2
y_resid = y_calc - y_obs
y_resid2 = y_resid**2
delpsical2 = delpsi**2
r_x = flex.sum(x_resid2)
r_y = flex.sum(y_resid2)
r_z = flex.sum(delpsical2)
# rmsd calculation
n = len(reflections)
rmsds = (sqrt(r_x / n), sqrt(r_y / n), sqrt(r_z / n))
# check positional RMSDs are within 5 pixels
if rmsds[0] > 5: return False
if rmsds[1] > 5: return False
return True
def compute_functional_and_gradients(self):
values = self.parameterization(self.x)
assert -150. < values.BFACTOR < 150. # limits on the exponent, please
self.func = self.refinery.fvec_callable(values)
functional = flex.sum(self.func * self.func)
self.f = functional
DELTA = 1.E-7
self.g = flex.double()
for x in range(self.n):
templist = list(self.x)
templist[x] += DELTA
dvalues = flex.double(templist)
dfunc = self.refinery.fvec_callable(self.parameterization(dvalues))
dfunctional = flex.sum(dfunc * dfunc)
#calculate by finite_difference
self.g.append((dfunctional - functional) / DELTA)
self.g[2] = 0.
print("rms %10.3f; " % math.sqrt(flex.mean(self.func * self.func)),
file=self.out,
end='')
values.show(self.out)
return self.f, self.g
def tst_identical_partial(self):
from dials.algorithms.integration.fit import ProfileFitter
from scitbx.array_family import flex
from numpy.random import seed
seed(0)
# Create profile
p = gaussian((9, 9, 9), 1, (4, 4, 4), (2, 2, 2))
s = flex.sum(p)
p = p / s
# Copy profile
c = p.deep_copy()
b = flex.double(flex.grid(9, 9, 9), 0)
m = flex.bool(flex.grid(9,9,9), True)
# Get the partial profiles
pp = p[0:5,:,:]
mp = m[0:5,:,:]
cp = c[0:5,:,:]
bp = b[0:5,:,:]
# Fit
fit = ProfileFitter(cp, bp, mp, pp)
I = fit.intensity()
V = fit.variance()
assert fit.niter() < fit.maxiter()
# Test intensity is the same
eps = 1e-7
assert(abs(I[0] - flex.sum(p)) < eps)
assert(abs(V[0] - flex.sum(p)) < eps)
print 'OK'
def test_identical_partial():
np.random.seed(0)
# Create profile
p = gaussian((9, 9, 9), 1, (4, 4, 4), (2, 2, 2))
s = flex.sum(p)
p = p / s
# Copy profile
c = p.deep_copy()
b = flex.double(flex.grid(9, 9, 9), 0)
m = flex.bool(flex.grid(9, 9, 9), True)
# Get the partial profiles
pp = p[0:5, :, :]
mp = m[0:5, :, :]
cp = c[0:5, :, :]
bp = b[0:5, :, :]
# Fit
fit = ProfileFitter(cp, bp, mp, pp)
intensity = fit.intensity()
V = fit.variance()
assert fit.niter() < fit.maxiter()
# Test intensity is the same
eps = 1e-7
assert intensity[0] == pytest.approx(flex.sum(p), abs=eps)
assert V[0] == pytest.approx(flex.sum(p), abs=eps)
def tst_with_no_background(self):
from dials.algorithms.integration.fit import ProfileFitter
from scitbx.array_family import flex
from numpy.random import seed
seed(0)
# Create profile
p = gaussian((9, 9, 9), 1, (4, 4, 4), (2, 2, 2))
s = flex.sum(p)
p = p / s
# Copy profile
c = add_poisson_noise(100 * p)
b = flex.double(flex.grid(9, 9, 9), 0)
m = flex.bool(flex.grid(9,9,9), True)
# Fit
fit = ProfileFitter(c, b, m, p)
I = fit.intensity()
V = fit.variance()
assert fit.niter() < fit.maxiter()
# Test intensity is the same
eps = 1e-3
assert(abs(I[0] - flex.sum(c)) < eps)
assert(abs(V[0] - I[0]) < eps)
print 'OK'
def rmsds(self, Ih_table, apm):
"""Calculate RMSDs for the matches. Also calculate R-factors."""
R = flex.double([])
n = 0
if Ih_table.free_Ih_table:
work_blocks = Ih_table.blocked_data_list[:-1]
free_block = Ih_table.blocked_data_list[-1]
self.rmsd_names = [
"RMSD_I", "RMSD_I (no restraints)", "Free RMSD_I"
]
self.rmsd_units = ["a.u", "a.u", "a.u"]
else:
work_blocks = Ih_table.blocked_data_list
self.rmsd_names = ["RMSD_I"]
self.rmsd_units = ["a.u"]
for block in work_blocks:
R.extend((self.calculate_residuals(block)**2) * block.weights)
n += block.size
unrestr_R = copy(R)
if self.param_restraints:
restraints = self.restraints_calculator.calculate_restraints(apm)
if restraints:
R.extend(restraints[0])
else:
self.param_restraints = False
self._rmsds = [(flex.sum(R) / n)**0.5]
if Ih_table.free_Ih_table:
self._rmsds.append((flex.sum(unrestr_R) / n)**0.5)
Rmsdfree = (self.calculate_residuals(free_block)**
2) * free_block.weights
self._rmsds.append((flex.sum(Rmsdfree) / free_block.size)**0.5)
return self._rmsds
def merge_reflections(reflections, min_multiplicity):
'''Merge intensities of multiply-measured symmetry-reduced HKLs. The input reflection table must be sorted by symmetry-reduced HKLs.'''
merged_reflections = reflection_table_utils.merged_reflection_table()
for refls in reflection_table_utils.get_next_hkl_reflection_table(
reflections=reflections):
if refls.size() == 0:
break # unless the input "reflections" list is empty, generated "refls" lists cannot be empty
hkl = refls[0]['miller_index_asymmetric']
# This assert is timeconsuming when using a small number of cores
#assert not (hkl in merged_reflections['miller_index']) # i.e. assert that the input reflection table came in sorted
refls = refls.select(refls['intensity.sum.variance'] > 0.0)
if refls.size() >= min_multiplicity:
weighted_intensity_array = refls[
'intensity.sum.value'] / refls['intensity.sum.variance']
weights_array = flex.double(
refls.size(), 1.0) / refls['intensity.sum.variance']
weighted_mean_intensity = flex.sum(
weighted_intensity_array) / flex.sum(weights_array)
standard_error_of_weighted_mean_intensity = 1.0 / math.sqrt(
flex.sum(weights_array))
merged_reflections.append({
'miller_index': hkl,
'intensity': weighted_mean_intensity,
'sigma': standard_error_of_weighted_mean_intensity,
'multiplicity': refls.size()
})
return merged_reflections
def calculate_delta_statistics(self):
'''Calculate min, max, mean, and stddev for the normalized deltas'''
delta_min = flex.min(self.deltas) if self.deltas.size() > 0 else float('inf')
delta_max = flex.max(self.deltas) if self.deltas.size() > 0 else float('-inf')
delta_sum = flex.sum(self.deltas) if self.deltas.size() > 0 else 0.0
comm = self.mpi_helper.comm
MPI = self.mpi_helper.MPI
# global min and max
self.global_delta_min = comm.allreduce(delta_min, MPI.MIN)
self.global_delta_max = comm.allreduce(delta_max, MPI.MAX)
# global mean
self.global_delta_count = comm.allreduce(self.deltas.size(), MPI.SUM)
if self.global_delta_count < 20:
raise ValueError("Too few reflections available for ev11 algorithm")
global_delta_sum = comm.allreduce(delta_sum, MPI.SUM)
self.global_delta_mean = global_delta_sum / self.global_delta_count
# global standard deviation
array_of_global_delta_means = flex.double(self.deltas.size(), self.global_delta_mean)
array_of_diffs = self.deltas - array_of_global_delta_means
array_of_square_diffs = array_of_diffs * array_of_diffs
sum_of_square_diffs = flex.sum(array_of_square_diffs)
global_sum_of_square_diffs = comm.allreduce(sum_of_square_diffs, MPI.SUM)
self.global_delta_stddev = math.sqrt(global_sum_of_square_diffs / (self.global_delta_count - 1))
if self.mpi_helper.rank == 0:
self.logger.main_log("Global delta statistics (count,min,max,mean,stddev): (%d,%f,%f,%f,%f)"%(self.global_delta_count, self.global_delta_min, self.global_delta_max, self.global_delta_mean, self.global_delta_stddev))
def calculate_gradients(self, apm):
"calculate the gradient vector"
x = apm.x
R = self.error_model.sortedy - (x[1] * self.error_model.sortedx) - x[0]
gradient = flex.double([
-2.0 * flex.sum(R), -2.0 * flex.sum(R * self.error_model.sortedx)
])
return gradient
def compute_profile(experiments, reflection, reference, N):
from dials.array_family import flex
from dials.algorithms.profile_model.gaussian_rs import CoordinateSystem
from dials.algorithms.profile_model.modeller import GridSampler
from dials_scratch.jmp.sim import compute_profile_internal
from random import uniform
sbox = reflection["shoebox"]
bbox = sbox.bbox
zs = sbox.zsize()
ys = sbox.ysize()
xs = sbox.xsize()
profile = flex.double(flex.grid(zs, ys, xs))
m2 = experiments[0].goniometer.get_rotation_axis_datum()
s0 = experiments[0].beam.get_s0()
s1 = reflection["s1"]
phi = reflection["xyzcal.mm"][2]
detector = experiments[0].detector
scan = experiments[0].scan
cs = CoordinateSystem(m2, s0, s1, phi)
scan_range = scan.get_array_range()
image_size = detector[0].get_image_size()
grid_size = (3, 3, 40)
assert grid_size[0] * grid_size[1] * grid_size[2] == len(reference[0])
sampler = GridSampler(image_size, scan_range, grid_size)
xyz = reflection["xyzcal.px"]
index = sampler.nearest(0, xyz)
for g in reference[0]:
assert abs(flex.sum(g) - 1.0) < 1e-7
grid = reference[0][index]
sigma_d = experiments[0].profile.sigma_b(deg=False)
sigma_m = experiments[0].profile.sigma_m(deg=False)
delta_d = 3.0 * sigma_d
delta_m = 3.0 * sigma_m
profile = compute_profile_internal(grid, bbox, zs, ys, xs, N, delta_d,
delta_m, detector, scan, cs)
# from dials_scratch.jmp.viewer import show_image_stack_multi_view
# show_image_stack_multi_view(profile.as_numpy_array(), vmax=max(profile))
sum_p = flex.sum(profile)
print("Partiality: %f" % sum_p)
try:
assert sum_p > 0, "sum_p == 0"
except Exception as e:
print(e)
return None
return profile
def target(self, log_sigma):
"""The target for minimization."""
sigma_m = math.exp(log_sigma[0])
# Tiny value
TINY = 1e-10
assert sigma_m > TINY
# Calculate the two components to the fraction
a = scitbx.math.erf(self.e1 / sigma_m)
b = scitbx.math.erf(self.e2 / sigma_m)
n = self.n
K = self.K
# Calculate the fraction of observed reflection intensity
zi = (a - b) / 2.0
# Set any points <= 0 to 1e-10 (otherwise will get a floating
# point error in log calculation below).
assert zi.all_ge(0)
mask = zi < TINY
assert mask.count(True) < len(mask)
zi.set_selected(mask, TINY)
# Compute the likelihood
#
# The likelihood here is a result of the sum of two log likelihood
# functions:
#
# The first is the same as the one in Kabsch2010 as applied to the
# reflection as a whole. This results in the term log(Z)
#
# The second is the likelihood for each reflection modelling as a Poisson
# distribtution with shape given by sigma M. This gives sum(ci log(zi)) -
# sum(ci)*log(sum(zi))
#
# If the reflection is recorded on 1 frame, the second component is zero
# and so the likelihood is dominated by the first term which can be seen
# as a prior for sigma, which accounts for which reflections were actually
# recorded.
#
L = 0
for j, (i0,
i1) in enumerate(zip(self.indices[:-1], self.indices[1:])):
selection = flex.size_t(range(i0, i1))
zj = zi.select(selection)
nj = n.select(selection)
kj = K[j]
Z = flex.sum(zj)
# L += flex.sum(nj * flex.log(zj)) - kj * Z
# L += flex.sum(nj * flex.log(zj)) - kj * math.log(Z)
L += flex.sum(
nj * flex.log(zj)) - kj * math.log(Z) + math.log(Z)
logger.debug("Sigma M: %f, log(L): %f", sigma_m * 180 / math.pi, L)
# Return the logarithm of r
return -L
def create_datastructures_for_structural_model(reflections, experiments,
cif_file):
"""Read a cif file, calculate intensities and scale them to the average
intensity of the reflections. Return an experiment and reflection table to
be used for the structural model in scaling."""
# read model, compute Fc, square to F^2
ic = intensity_array_from_cif_file(cif_file)
exp = deepcopy(experiments[0])
params = Mock()
params.parameterisation.decay_term.return_value = False
params.parameterisation.scale_term.return_value = True
exp.scaling_model = KBSMFactory.create(params, [], [])
exp.scaling_model.set_scaling_model_as_scaled(
) # Set as scaled to fix scale.
# Now put the calculated I's on roughly a common scale with the data.
miller_indices = flex.miller_index([])
intensities = flex.double([])
for refl in reflections:
miller_indices.extend(refl["miller_index"])
intensities.extend(refl["intensity.prf.value"])
miller_set = miller.set(
crystal_symmetry=crystal.symmetry(
space_group=experiments[0].crystal.get_space_group()),
indices=miller_indices,
anomalous_flag=True,
)
idata = miller.array(miller_set, data=intensities)
match = idata.match_indices(ic)
pairs = match.pairs()
icalc = flex.double()
iobs = flex.double()
miller_idx = flex.miller_index()
for p in pairs:
# Note : will create miller_idx duplicates in i_calc - problem?
iobs.append(idata.data()[p[0]])
icalc.append(ic.data()[p[1]])
miller_idx.append(ic.indices()[p[1]])
icalc *= flex.sum(iobs) / flex.sum(icalc)
rt = flex.reflection_table()
rt["intensity"] = icalc
rt["miller_index"] = miller_idx
used_ids = experiments.identifiers()
unique_id = get_next_unique_id(len(used_ids), used_ids)
exp.identifier = str(unique_id)
rt.experiment_identifiers()[unique_id] = str(unique_id)
rt["id"] = flex.int(rt.size(), unique_id)
return exp, rt
def estimate_ice_rings_width(imagesets, steps):
from cctbx import miller, sgtbx, uctbx
from matplotlib import pyplot as plt
imageset = imagesets[0]
detector = imageset.get_detector()
beam = imageset.get_beam()
from dials.util import masking
params = masking.phil_scope.extract()
params.resolution_range = []
params.ice_rings.filter = True
import numpy
widths = flex.double(numpy.geomspace(start=0.0001, stop=0.01, num=steps))
total_intensity = flex.double()
n_pixels = flex.double()
for width in widths:
params.ice_rings.width = width
generator = masking.MaskGenerator(params)
mask = generator.generate(imageset)
image = imageset.get_corrected_data(0)
tot_intensity = 0
n_pix = 0
for im, m in zip(image, mask):
im = im.as_1d()
m = m.as_1d()
print(m.count(True), m.count(False))
print(flex.sum(im), flex.sum(im.select(m)),
flex.sum(im.select(~m)))
tot_intensity += flex.sum(im.select(m))
n_pix += m.count(True)
total_intensity.append(tot_intensity)
n_pixels.append(n_pix)
average_intensity = total_intensity / n_pixels
fig, axes = plt.subplots(nrows=2, figsize=(12, 8), sharex=True)
axes[0].plot(widths,
average_intensity,
label="average intensity",
marker="+")
axes[1].plot(widths, total_intensity, label="total intensity", marker="+")
axes[0].set_ylabel("Average intensity per pixel")
axes[1].set_xlabel("Ice ring width (1/d^2)")
axes[1].set_ylabel("Total intensity")
for ax in axes:
ax.set_xlim(0, flex.max(widths))
plt.savefig("ice_rings_width.png")
plt.clf()
return
def calculate_gradient_fd(target, parameterisation):
"""Calculate gradient array with finite difference approach."""
delta = 1.0e-6
parameterisation.set_param_vals([parameterisation.x[0] - (0.5 * delta)])
target.predict(parameterisation)
R_low = target.calculate_residuals(parameterisation)
parameterisation.set_param_vals([parameterisation.x[0] + delta])
target.predict(parameterisation)
R_upper = target.calculate_residuals(parameterisation)
parameterisation.set_param_vals([parameterisation.x[0] - (0.5 * delta)])
target.predict(parameterisation)
gradients = [(flex.sum(R_upper) - flex.sum(R_low)) / delta]
return gradients
def compute_functional_and_gradients(self):
values = self.parameterization(self.x)
assert -150. < values.BFACTOR < 150. # limits on the exponent, please
self.func = self.refinery.fvec_callable(values)
functional = flex.sum(self.func*self.func)
self.f = functional
jacobian = self.refinery.jacobian_callable(values)
self.g = flex.double(self.n)
for ix in xrange(self.n):
self.g[ix] = flex.sum(2. * self.func * jacobian[ix])
print >> self.out, "rms %10.3f"%math.sqrt(flex.mean(self.func*self.func)),
values.show(self.out)
return self.f, self.g
def compute_functional_and_gradients(self):
values = self.parameterization(self.x)
assert -150. < values.BFACTOR < 150. # limits on the exponent, please
self.func = self.refinery.fvec_callable(values)
functional = flex.sum(self.func * self.func)
self.f = functional
jacobian = self.refinery.jacobian_callable(values)
self.g = flex.double(self.n)
for ix in xrange(self.n):
self.g[ix] = flex.sum(2. * self.func * jacobian[ix])
print >> self.out, "rms %10.3f" % math.sqrt(
flex.mean(self.func * self.func)),
values.show(self.out)
return self.f, self.g
def compute_functional_and_gradients(self):
values = self.parameterization(self.x)
assert -150. < values.BFACTOR < 150,"B-factor out of range (+/-150) within rs2 functional and gradients"
self.func = self.refinery.fvec_callable(values)
functional = flex.sum(self.refinery.WEIGHTS*self.func*self.func)
self.f = functional
jacobian = self.refinery.jacobian_callable(values)
self.g = flex.double(self.n)
for ix in range(self.n):
self.g[ix] = flex.sum(2. * self.refinery.WEIGHTS * self.func * jacobian[ix])
print >> self.out, "rms %10.3f"%math.sqrt(flex.sum(self.refinery.WEIGHTS*self.func*self.func)/
flex.sum(self.refinery.WEIGHTS)),
values.show(self.out)
return self.f, self.g
def generate_3_profiles():
p1 = gaussian((40, 9, 9), 1, (10.5, 4, 4), (2, 2, 2))
p2 = gaussian((40, 9, 9), 1, (20.5, 4, 4), (2, 2, 2))
p3 = gaussian((40, 9, 9), 1, (30.5, 4, 4), (2, 2, 2))
p1 = p1 / flex.sum(p1)
p2 = p2 / flex.sum(p2)
p3 = p3 / flex.sum(p3)
p1.reshape(flex.grid(1, 40, 9, 9))
p2.reshape(flex.grid(1, 40, 9, 9))
p3.reshape(flex.grid(1, 40, 9, 9))
p = flex.double(flex.grid(3, 40, 9, 9))
p[0:1, :, :, :] = p1
p[1:2, :, :, :] = p2
p[2:3, :, :, :] = p3
return p
def get_weighted_rmsd(self, reflections):
n = len(reflections)
if n == 0:
return 0
#weights = 1/reflections['intensity.sum.variance']
reflections = reflections.select(reflections['xyzobs.mm.variance'].norms() > 0)
weights = 1/reflections['xyzobs.mm.variance'].norms()
un_rmsd = math.sqrt( flex.sum(reflections['difference_vector_norms']**2)/n)
print "Uweighted RMSD (mm)", un_rmsd
w_rmsd = math.sqrt( flex.sum( weights*(reflections['difference_vector_norms']**2) )/flex.sum(weights))
print "Weighted RMSD (mm)", w_rmsd
return un_rmsd
def _beam_direction_variance_list(self,
detector,
reflections,
centroid_definition="s1"):
"""Calculate the variance in beam direction for each spot.
Params:
detector The detector model
reflections The list of reflections
centroid_definition ENUM com or s1
Returns:
The list of variances
"""
# Get the reflection columns
shoebox = reflections["shoebox"]
xyz = reflections["xyzobs.px.value"]
# Loop through all the reflections
variance = []
if centroid_definition == "com":
# Calculate the beam vector at the centroid
s1_centroid = []
for r in range(len(reflections)):
panel = shoebox[r].panel
s1_centroid.append(detector[panel].get_pixel_lab_coord(
xyz[r][0:2]))
else:
s1_centroid = reflections["s1"]
for r in range(len(reflections)):
# Get the coordinates and values of valid shoebox pixels
# FIXME maybe I note in Kabsch (2010) s3.1 step (v) is
# background subtraction, appears to be missing here.
mask = shoebox[r].mask != 0
values = shoebox[r].values(mask)
s1 = shoebox[r].beam_vectors(detector, mask)
angles = s1.angle(s1_centroid[r], deg=False)
if flex.sum(values) > 1:
variance.append(
flex.sum(values * flex.pow2(angles)) /
(flex.sum(values) - 1))
# Return a list of variances
return flex.double(variance)
def Rt(xyr, xym):
'''Implement https://en.wikipedia.org/wiki/Procrustes_analysis to match
moving to reference.'''
from dials.array_family import flex
import math
n = xyr.size()
assert xym.size() == n
xr, yr = xyr.parts()
xm, ym = xym.parts()
# compute centre of mass shift
xr0, yr0 = flex.sum(xr) / xr.size(), flex.sum(yr) / yr.size()
xm0, ym0 = flex.sum(xm) / xm.size(), flex.sum(ym) / ym.size()
dx, dy = xr0 - xm0, yr0 - ym0
xr, yr = xr - xr0, yr - yr0
xm, ym = xm - xm0, ym - ym0
# compute angle theta
tan_theta = sum([_xm * _yr - _ym * _xr for _xr, _yr, _xm, _ym in
zip(xr, yr, xm, ym)]) / \
sum([_xm * _xr + _ym * _yr for _xr, _yr, _xm, _ym in
zip(xr, yr, xm, ym)])
theta = math.atan(tan_theta)
# compose Rt matrix, verify that the RMSD is small between xyr and Rt * xym
from scitbx import matrix
R = matrix.sqr(
(math.cos(theta), -math.sin(theta), math.sin(theta), math.cos(theta)))
rmsd = 0
for j, (_xm, _ym) in enumerate(zip(xm, ym)):
_xr, _yr = xr[j], yr[j]
_xmr, _ymr = R * (_xm, _ym)
rmsd += (_xmr - _xr)**2 + (_ymr - _yr)**2
rmsd /= n
# now compute additional t component due to rotation about origin not centre
# of mass
t0 = matrix.col((xm0, ym0)) - R * (xm0, ym0)
t = t0 + matrix.col((dx, dy))
return R, t.elems, math.sqrt(rmsd), n
def compute_functional_gradients(self, Ih_table):
"""Return the functional and gradients."""
resids = self.calculate_residuals(Ih_table)
gradients = self.calculate_gradients(Ih_table)
weights = Ih_table.weights
functional = flex.sum(resids**2 * weights)
return functional, gradients
def stats_single_image(imageset, reflections, i=None, resolution_analysis=True,
plot=False):
reflections = map_to_reciprocal_space(reflections, imageset)
if plot and i is not None:
filename = "i_over_sigi_vs_resolution_%d.png" %(i+1)
hist_filename = "spot_count_vs_resolution_%d.png" %(i+1)
extra_filename = "log_sum_i_sigi_vs_resolution_%d.png" %(i+1)
distl_method_1_filename = "distl_method_1_%d.png" %(i+1)
distl_method_2_filename = "distl_method_2_%d.png" %(i+1)
else:
filename = None
hist_filename = None
extra_filename = None
distl_method_1_filename = None
distl_method_2_filename = None
d_star_sq = flex.pow2(reflections['rlp'].norms())
d_spacings = uctbx.d_star_sq_as_d(d_star_sq)
#plot_ordered_d_star_sq(reflections, imageset)
reflections_all = reflections
ice_sel = ice_rings_selection(reflections_all)
reflections_no_ice = reflections_all.select(~ice_sel)
n_spots_total = len(reflections_all)
n_spots_no_ice = len(reflections_no_ice)
n_spot_4A = (d_spacings > 4).count(True)
intensities = reflections_no_ice['intensity.sum.value']
total_intensity = flex.sum(intensities)
#print i
if hist_filename is not None:
resolution_histogram(
reflections, imageset, plot_filename=hist_filename)
if extra_filename is not None:
log_sum_i_sigi_vs_resolution(
reflections, imageset, plot_filename=extra_filename)
if resolution_analysis and n_spots_no_ice > 10:
estimated_d_min = estimate_resolution_limit(
reflections_all, imageset, ice_sel=ice_sel, plot_filename=filename)
d_min_distl_method_1, noisiness_method_1 \
= estimate_resolution_limit_distl_method1(
reflections_all, imageset, ice_sel, plot_filename=distl_method_1_filename)
d_min_distl_method_2, noisiness_method_2 = \
estimate_resolution_limit_distl_method2(
reflections_all, imageset, ice_sel, plot_filename=distl_method_2_filename)
else:
estimated_d_min = -1.0
d_min_distl_method_1 = -1.0
noisiness_method_1 = -1.0
d_min_distl_method_2 = -1.0
noisiness_method_2 = -1.0
return group_args(n_spots_total=n_spots_total,
n_spots_no_ice=n_spots_no_ice,
n_spots_4A=n_spot_4A,
total_intensity=total_intensity,
estimated_d_min=estimated_d_min,
d_min_distl_method_1=d_min_distl_method_1,
noisiness_method_1=noisiness_method_1,
d_min_distl_method_2=d_min_distl_method_2,
noisiness_method_2=noisiness_method_2)
def tst_with_flat_background(self):
from dials.algorithms.integration.fit import ProfileFitter
from scitbx.array_family import flex
from numpy.random import seed
seed(0)
# Create profile
p = gaussian((9, 9, 9), 1, (4, 4, 4), (2, 2, 2))
s = flex.sum(p)
p = p / s
# Copy profile
c0 = add_poisson_noise(100 * p)
b = flex.double(flex.grid(9, 9, 9), 10)
m = flex.bool(flex.grid(9,9,9), True)
b0 = add_poisson_noise(b)
c = c0 + b0
# Fit
fit = ProfileFitter(c, b, m, p)
I = fit.intensity()
V = fit.variance()
assert fit.niter() < fit.maxiter()
Iknown = 201.67417836585147
Vknown = 7491.6743173001205
# Test intensity is the same
eps = 1e-3
assert(abs(I[0] - Iknown) < eps)
assert(abs(V[0] - Vknown) < eps)
print 'OK'
def outlier_rejection(reflections):
# http://scripts.iucr.org/cgi-bin/paper?ba0032
if len(reflections) == 1:
return reflections
intensities = reflections['intensity.sum.value']
variances = reflections['intensity.sum.variance']
i_max = flex.max_index(intensities)
sel = flex.bool(len(reflections), True)
sel[i_max] = False
i_test = intensities[i_max]
var_test = variances[i_max]
intensities_subset = intensities.select(sel)
var_subset = variances.select(sel)
var_prior = var_test + 1/flex.sum(1/var_subset)
p_prior = 1/math.sqrt(2*math.pi * var_prior) * math.exp(
-(i_test - flex.mean(intensities_subset))**2/(2 * var_prior))
#print p_prior
if p_prior > 1e-10:
return reflections
return outlier_rejection(reflections.select(sel))
def df(I):
mask = flex.bool(flex.grid(9,9,9), False)
for k in range(9):
for j in range(9):
for i in range(9):
dx = 5 * (i - 4.5) / 4.5
dy = 5 * (j - 4.5) / 4.5
dz = 5 * (k - 4.5) / 4.5
dd = sqrt(dx**2 + dy**2 + dz**2)
if dd <= 3:
mask[k,j,i] = True
mask = mask.as_1d() & (ref_P.as_1d() > 0)
p = ref_P.as_1d().select(mask)
c = max_P.as_1d().select(mask)
b = 0
return flex.sum(p) - flex.sum(c*c / (I*I*p))
def test_target_fixedIh(mock_multi_apm_withoutrestraints, mock_Ih_table):
"""Test the target function for targeted scaling (where Ih is fixed)."""
target = ScalingTargetFixedIH()
Ih_table = mock_Ih_table.blocked_data_list[0]
R, _ = target.compute_residuals(Ih_table)
expected_residuals = flex.double([-1.0, 0.0, 1.0])
assert list(R) == list(expected_residuals)
_, G = target.compute_functional_gradients(Ih_table)
assert list(G) == [-44.0]
# Add in finite difference check
J = target.calculate_jacobian(Ih_table)
assert J.n_cols == 1
assert J.n_rows == 3
assert J.non_zeroes == 3
assert J[0, 0] == -11.0
assert J[1, 0] == -22.0
assert J[2, 0] == -33.0
expected_rmsd = (flex.sum(expected_residuals**2) /
len(expected_residuals))**0.5
assert target._rmsds is None
rmsd = target.rmsds(mock_Ih_table, mock_multi_apm_withoutrestraints)
assert target._rmsds == pytest.approx([expected_rmsd])
def mosaic_profile_xyz(profile):
nz, ny, nx = profile.focus()
x = flex.double(nx, 0.0)
for j in range(nx):
x[j] = flex.sum(profile[:, :, j:j + 1])
y = flex.double(ny, 0.0)
for j in range(ny):
y[j] = flex.sum(profile[:, j:j + 1, :])
z = flex.double(nz, 0.0)
for j in range(nz):
z[j] = flex.sum(profile[j:j + 1, :, :])
return x, y, z
def tst_with_identical_non_negative_profiles(self):
from scitbx.array_family import flex
# Generate identical non-negative profiles
reflections, profiles, profile = self.generate_identical_non_negative_profiles()
# Create the reference learner
modeller = Modeller(self.n, self.grid_size, self.threshold)
# Do the modelling
modeller.model(reflections, profiles)
modeller.finalize()
# Normalize the profile
profile = self.normalize_profile(profile)
# Check that all the reference profiles are the same
eps = 1e-10
for index in range(len(modeller)):
reference = modeller.data(index)
for k in range(self.grid_size[2]):
for j in range(self.grid_size[1]):
for i in range(self.grid_size[0]):
assert abs(reference[k, j, i] - profile[k, j, i]) <= eps
assert abs(flex.sum(reference) - 1.0) <= eps
print "OK"
def test_with_flat_background_partial():
np.random.seed(0)
# Create profile
p = gaussian((9, 9, 9), 1, (4, 4, 4), (2, 2, 2))
s = flex.sum(p)
p = p / s
# Copy profile
c0 = add_poisson_noise(100 * p)
b = flex.double(flex.grid(9, 9, 9), 1)
m = flex.bool(flex.grid(9, 9, 9), True)
c = c0 + add_poisson_noise(b)
# Get the partial profiles
pp = p[0:5, :, :]
mp = m[0:5, :, :]
cp = c[0:5, :, :]
bp = b[0:5, :, :]
# Fit
fit = ProfileFitter(cp, bp, mp, pp)
intensity = fit.intensity()
V = fit.variance()
assert fit.niter() < fit.maxiter()
Iknown = 99.06932141277105
Vknown = 504.06932141277105
# Test intensity is the same
eps = 1e-7
assert intensity[0] == pytest.approx(Iknown, abs=eps)
assert V[0] == pytest.approx(Vknown, abs=eps)
def outlier_rejection(reflections):
# http://scripts.iucr.org/cgi-bin/paper?ba0032
if len(reflections) == 1:
return reflections
intensities = reflections["intensity.sum.value"]
variances = reflections["intensity.sum.variance"]
i_max = flex.max_index(intensities)
sel = flex.bool(len(reflections), True)
sel[i_max] = False
i_test = intensities[i_max]
var_test = variances[i_max]
intensities_subset = intensities.select(sel)
var_subset = variances.select(sel)
var_prior = var_test + 1 / flex.sum(1 / var_subset)
p_prior = (1 / math.sqrt(2 * math.pi * var_prior) *
math.exp(-((i_test - flex.mean(intensities_subset))**2) /
(2 * var_prior)))
if p_prior > 1e-10:
return reflections
return outlier_rejection(reflections.select(sel))
def test_with_flat_background():
np.random.seed(0)
# Create profile
p = gaussian((9, 9, 9), 1, (4, 4, 4), (2, 2, 2))
s = flex.sum(p)
p = p / s
# Copy profile
c0 = add_poisson_noise(100 * p)
b = flex.double(flex.grid(9, 9, 9), 10)
m = flex.bool(flex.grid(9, 9, 9), True)
b0 = add_poisson_noise(b)
c = c0 + b0
# Fit
fit = ProfileFitter(c, b, m, p)
intensity = fit.intensity()
V = fit.variance()
assert fit.niter() < fit.maxiter()
Iknown = 201.67417836585147
Vknown = 7491.6743173001205
# Test intensity is the same
eps = 1e-3
assert intensity[0] == pytest.approx(Iknown, abs=eps)
assert V[0] == pytest.approx(Vknown, abs=eps)
def test_target_fixedIh():
"""Test the target function for targeted scaling (where Ih is fixed)."""
target = ScalingTargetFixedIH()
Ih_table = mock_Ih_table().blocked_data_list[0]
R, _ = target.compute_residuals(Ih_table)
expected_residuals = flex.double([-1.0, 0.0, 1.0])
assert list(R) == pytest.approx(list(expected_residuals))
_, G = target.compute_functional_gradients(Ih_table)
assert list(G) == pytest.approx([-44.0])
# Add in finite difference check
Ih_table = mock_Ih_table().blocked_data_list[0]
J = target.calculate_jacobian(Ih_table)
assert J.n_cols == 1
assert J.n_rows == 3
assert J.non_zeroes == 3
assert J[0, 0] == pytest.approx(-11.0)
assert J[1, 0] == pytest.approx(-22.0)
assert J[2, 0] == pytest.approx(-33.0)
expected_rmsd = (flex.sum(flex.pow2(expected_residuals)) /
len(expected_residuals))**0.5
assert target._rmsds is None
target.param_restraints = False # don't try to use apm to get restraints
assert target.rmsds(mock_Ih_table(), [])
assert target._rmsds == pytest.approx([expected_rmsd])
def calculate_intensity_statistics(self, reflections):
'''Calculate statistics for hkl intensities distributed over resolution bins'''
for refls in reflection_table_utils.get_next_hkl_reflection_table(reflections=reflections):
assert refls.size() > 0
hkl = refls[0]['miller_index_asymmetric']
if hkl in self.hkl_resolution_bins:
i_bin = self.hkl_resolution_bins[hkl]
multiplicity = refls.size()
self.n_sum[i_bin] += 1
self.m_sum[i_bin] += multiplicity
if multiplicity > 1:
self.mm_sum[i_bin] += 1
weighted_intensity_array = refls['intensity.sum.value'] / refls['intensity.sum.variance']
weights_array = flex.double(refls.size(), 1.0) / refls['intensity.sum.variance']
self.I_sum[i_bin] += flex.sum(weighted_intensity_array) / flex.sum(weights_array)
self.Isig_sum[i_bin] += flex.sum(weighted_intensity_array) / math.sqrt(flex.sum(weights_array))
def tst_with_systematically_offset_profiles(self):
from dials.algorithms.image.centroid import centroid_image
from scitbx import matrix
from scitbx.array_family import flex
# Generate identical non-negative profiles
reflections, profiles = self.generate_systematically_offset_profiles()
# Create the reference learner
modeller = Modeller(self.n, self.grid_size, self.threshold)
# Do the modelling
modeller.model(reflections, profiles)
modeller.finalize()
# Check that all the reference profiles are the same
eps = 1e-10
profile = None
for index in range(len(modeller)):
reference = modeller.data(index)
if profile is not None:
for k in range(self.grid_size[2]):
for j in range(self.grid_size[1]):
for i in range(self.grid_size[0]):
assert abs(reference[k, j, i] - profile[k, j, i]) <= eps
else:
profile = reference
assert abs(flex.sum(reference) - 1.0) <= eps
print "OK"
def _rmsds_core(self, reflections):
"""calculate unweighted RMSDs for the specified reflections"""
resid_2theta = flex.sum(reflections['2theta_resid2'])
n = len(reflections)
rmsds = (sqrt(resid_2theta / n), )
return rmsds
def check_reference(self, reference):
''' Check the reference spots. '''
from dials.array_family import flex
from dials.algorithms.image.centroid import centroid_image
from math import sqrt
# Get a load of stuff
I_sim = reference['intensity.sim']
I_exp = reference['intensity.exp']
I_cal = reference['intensity.prf.value']
I_var = reference['intensity.prf.variance']
# Get the transformed shoeboxes
profiles = reference['rs_shoebox']
n_sigma = 3
n_sigma2 = 5
grid_size = 4
step_size = n_sigma2 / (grid_size + 0.5)
eps = 1e-7
for i in range(len(profiles)):
data = profiles[i].data
#dmax = flex.max(data)
#data = 100 * data / dmax
#p = data.as_numpy_array()
#p = p.astype(numpy.int)
#print p
print flex.sum(data), I_exp[i], I_cal[i]
#assert(abs(flex.sum(data) - I_exp[i]) < eps)
centroid = centroid_image(data)
m = centroid.mean()
v = centroid.variance()
s1 = tuple(sqrt(vv) for vv in v)
s2 = tuple(ss * step_size for ss in s1)
assert(all(abs(mm - (grid_size + 0.5)) < 0.25 for mm in m))
assert(all(abs(ss2 - n_sigma / n_sigma2) < 0.25 for ss2 in s2))
# Calculate Z
Z = (I_cal - I_exp) / flex.sqrt(I_var)
mv = flex.mean_and_variance(Z)
Z_mean = mv.mean()
Z_var = mv.unweighted_sample_variance()
print "Z: mean: %f, var: %f" % (Z_mean, Z_var)
from matplotlib import pylab
pylab.hist((I_cal - I_exp) / I_exp)
pylab.show()
def check_profiles(self, learner):
''' Check the reference profiles. '''
from dials.array_family import flex
from dials.algorithms.image.centroid import centroid_image
from math import sqrt
# Get the reference locator
locator = learner.locate()
np = locator.size()
assert(np == 9)
assert(flex.sum(learner.counts()) == 10000)
#profile = locator.profile(0)
#pmax = flex.max(profile)
#profile = 100 * profile / pmax
#profile = profile.as_numpy_array()
#import numpy
#profile = profile.astype(numpy.int)
#print profile
# Check all the profiles
eps = 1e-7
n_sigma = 3
n_sigma2 = 5
grid_size = 4
step_size = n_sigma2 / (grid_size + 0.5)
for i in range(np):
profile = locator.profile(i)
assert(abs(flex.sum(profile) - 1.0) < eps)
centroid = centroid_image(profile)
m = centroid.mean()
v = centroid.variance()
s1 = tuple(sqrt(vv) for vv in v)
s2 = tuple(ss * step_size for ss in s1)
assert(all(abs(mm - (grid_size + 0.5)) < 0.25 for mm in m))
assert(all(abs(ss2 - n_sigma / n_sigma2) < 0.25 for ss2 in s2))
# Check all the profiles have good correlation coefficients
cor = locator.correlations()
assert(all(cor > 0.99))
# Test passed
print 'OK'
def compute_functional_and_gradients(self):
values = self.parameterization(self.x)
assert -150. < values.BFACTOR < 150. # limits on the exponent, please
self.func = self.refinery.fvec_callable(values)
functional = flex.sum(self.func*self.func)
self.f = functional
DELTA = 1.E-7
self.g = flex.double()
for x in xrange(self.n):
templist = list(self.x)
templist[x]+=DELTA
dvalues = flex.double(templist)
dfunc = self.refinery.fvec_callable(self.parameterization(dvalues))
dfunctional = flex.sum(dfunc*dfunc)
#calculate by finite_difference
self.g.append( ( dfunctional-functional )/DELTA )
self.g[2]=0.
print >> self.out, "rms %10.3f"%math.sqrt(flex.mean(self.func*self.func)),
values.show(self.out)
return self.f, self.g
def compute_functional_and_gradients_test_code(self):
values = self.parameterization(self.x)
assert -150. < values.BFACTOR < 150. # limits on the exponent, please
self.func = self.refinery.fvec_callable(values)
functional = flex.sum(self.func*self.func)
self.f = functional
jacobian = self.refinery.jacobian_callable(values)
self.gg_0 = flex.sum(2. * self.func * jacobian[0])
self.gg_1 = flex.sum(2. * self.func * jacobian[1])
self.gg_3 = flex.sum(2. * self.func * jacobian[3])
self.gg_4 = flex.sum(2. * self.func * jacobian[4])
DELTA = 1.E-7
self.g = flex.double()
for x in xrange(self.n):
templist = list(self.x)
templist[x]+=DELTA
dvalues = flex.double(templist)
dfunc = self.refinery.fvec_callable(self.parameterization(dvalues))
dfunctional = flex.sum(dfunc*dfunc)
#calculate by finite_difference
self.g.append( ( dfunctional-functional )/DELTA )
self.g[2]=0.
print >> self.out, "rms %10.3f"%math.sqrt(flex.mean(self.func*self.func)),
values.show(self.out)
print >>self.out, "derivatives--> %15.5f %15.5f %9.7f %5.2f %5.2f"%tuple(self.g)
print >>self.out, " analytical-> %15.5f %15.5f %5.2f %5.2f"%(
self.gg_0,self.gg_1, self.gg_3,self.gg_4)
self.g[0]=self.gg_0
self.g[1]=self.gg_1
self.g[3]=self.gg_3
self.g[4]=self.gg_4
return self.f, self.g
def check_experiment(experiment, reflections):
# predict reflections in place
from dials.algorithms.spot_prediction import StillsReflectionPredictor
sp = StillsReflectionPredictor(experiment)
UB = experiment.crystal.get_U() * experiment.crystal.get_B()
try:
sp.for_reflection_table(reflections, UB)
except RuntimeError:
return False
# calculate unweighted RMSDs
x_obs, y_obs, _ = reflections['xyzobs.px.value'].parts()
delpsi = reflections['delpsical.rad']
x_calc, y_calc, _ = reflections['xyzcal.px'].parts()
# calculate residuals and assign columns
x_resid = x_calc - x_obs
x_resid2 = x_resid**2
y_resid = y_calc - y_obs
y_resid2 = y_resid**2
delpsical2 = delpsi**2
r_x = flex.sum(x_resid2)
r_y = flex.sum(y_resid2)
r_z = flex.sum(delpsical2)
# rmsd calculation
n = len(reflections)
rmsds = (sqrt(r_x / n),
sqrt(r_y / n),
sqrt(r_z / n))
# check positional RMSDs are within 5 pixels
print rmsds
if rmsds[0] > 5: return False
if rmsds[1] > 5: return False
return True
def log_sum_i_sigi_vs_resolution(reflections, imageset, plot_filename=None):
d_star_sq = flex.pow2(reflections['rlp'].norms())
hist = get_histogram(d_star_sq)
intensities = reflections['intensity.sum.value']
variances = reflections['intensity.sum.variance']
sel = variances > 0
intensities = intensities.select(sel)
variances = intensities.select(sel)
i_over_sigi = intensities/flex.sqrt(variances)
#log_i_over_sigi = flex.log(i_over_sigi)
slots = []
for slot in hist.slot_infos():
sel = (d_star_sq > slot.low_cutoff) & (d_star_sq < slot.high_cutoff)
if sel.count(True) > 0:
slots.append(math.log(flex.sum(i_over_sigi.select(sel))))
else:
slots.append(0)
if plot_filename is not None:
if pyplot is None:
raise Sorry("matplotlib must be installed to generate a plot.")
fig = pyplot.figure()
ax = fig.add_subplot(1,1,1)
#ax.bar(hist.slot_centers()-0.5*hist.slot_width(), hist.slots(),
ax.scatter(hist.slot_centers()-0.5*hist.slot_width(), slots, s=20, color='blue', marker='o', alpha=0.5)
ax.set_xlabel("d_star_sq")
ax.set_ylabel("ln(sum(I/sigI))")
ax_ = ax.twiny() # ax2 is responsible for "top" axis and "right" axis
xticks = ax.get_xticks()
xlim = ax.get_xlim()
xticks_d = [
uctbx.d_star_sq_as_d(ds2) if ds2 > 0 else 0 for ds2 in xticks ]
xticks_ = [ds2/(xlim[1]-xlim[0]) for ds2 in xticks]
ax_.set_xticks(xticks)
ax_.set_xlim(ax.get_xlim())
ax_.set_xlabel(r"Resolution ($\AA$)")
ax_.set_xticklabels(["%.1f" %d for d in xticks_d])
#pyplot.show()
pyplot.savefig(plot_filename)
pyplot.close()
def plot_data_by_two_theta(self, reflections, tag):
n_bins = 30
arbitrary_padding = 1
sorted_two_theta = flex.sorted(reflections['two_theta_obs'])
bin_low = [sorted_two_theta[int((len(sorted_two_theta)/n_bins) * i)] for i in xrange(n_bins)]
bin_high = [bin_low[i+1] for i in xrange(n_bins-1)]
bin_high.append(sorted_two_theta[-1]+arbitrary_padding)
title = "%sBinned data by two theta (n reflections per bin: %.1f)"%(tag, len(sorted_two_theta)/n_bins)
x = flex.double()
x_centers = flex.double()
n_refls = flex.double()
rmsds = flex.double()
radial_rmsds = flex.double()
transverse_rmsds = flex.double()
rt_ratio = flex.double()
#delta_two_theta = flex.double()
rmsd_delta_two_theta = flex.double()
for i in xrange(n_bins):
x_centers.append(((bin_high[i]-bin_low[i])/2) + bin_low[i])
refls = reflections.select((reflections['two_theta_obs'] >= bin_low[i]) & (reflections['two_theta_obs'] < bin_high[i]))
n = len(refls)
n_refls.append(n)
rmsds.append(1000*math.sqrt(flex.sum_sq(refls['difference_vector_norms'])/n))
radial_rmsds.append(1000*math.sqrt(flex.sum_sq(refls['radial_displacements'])/n))
transverse_rmsds.append(1000*math.sqrt(flex.sum_sq(refls['transverse_displacements'])/n))
rt_ratio.append(radial_rmsds[-1]/transverse_rmsds[-1])
rmsd_delta_two_theta.append(math.sqrt(flex.sum_sq(refls['two_theta_obs']-refls['two_theta_cal'])/n))
#delta_two_theta.append(flex.mean(refls['two_theta_obs']-refls['two_theta_cal']))
assert len(reflections) == flex.sum(n_refls)
self.plot_multi_data(x_centers,
[rt_ratio, (rmsds, radial_rmsds, transverse_rmsds), rmsd_delta_two_theta],
"Two theta (degrees)",
["R/T RMSD ratio",
("Overall RMSD","Radial RMSD","Transverse RMSD"),
"RMSD delta two theta"],
["R/T RMSD ratio",
"Overall, radial, transverse RMSD (microns)",
"Delta two theta RMSD (degrees)"],
title)
def run(args):
from dials.array_family import flex
from dials.util.command_line import Importer
importer = Importer(args, check_format=True)
assert len(importer.datablocks) == 1
imageset = importer.datablocks[0].extract_imagesets()[0]
total_counts = flex.int()
for im in imageset:
total_counts.append(flex.sum(im))
with open("total_counts_per_image.txt", "wb") as f:
for i, count in enumerate(total_counts):
print >> f, "%i %i" %(i, count)
from matplotlib import pyplot
pyplot.plot(range(total_counts.size()), total_counts)
pyplot.xlabel("Image number")
pyplot.ylabel("Total counts")
pyplot.show()
def check_profiles(self, learner):
''' Check the reference profiles. '''
from dials.array_family import flex
from dials.algorithms.image.centroid import centroid_image
from math import sqrt
# Get the reference locator
locator = learner.locate()
np = locator.size()
assert(np == 9)
cexp = [10000, 3713, 3817, 5023, 3844, 3723, 3768, 4886, 3781]
assert(all(c1 == c2 for c1, c2 in zip(cexp, learner.counts())))
#profile = locator.profile(0)
#pmax = flex.max(profile)
#profile = 100 * profile / pmax
#profile = profile.as_numpy_array()
#import numpy
#profile = profile.astype(numpy.int)
#print profile
# Check all the profiles
eps = 1e-7
n_sigma = 3
grid_size = 4
step_size = n_sigma / (grid_size + 0.5)
for i in range(np):
profile = locator.profile(i)
assert(abs(flex.sum(profile) - 1.0) < eps)
centroid = centroid_image(profile)
m = centroid.mean()
v = centroid.variance()
s1 = tuple(sqrt(vv) for vv in v)
s2 = tuple(ss * step_size for ss in s1)
assert(all(abs(mm - (grid_size + 0.5)) < 0.25 for mm in m))
assert(all(abs(ss2 - 1.0) < 0.25 for ss2 in s2))
# Test passed
print 'OK'
def residual(two_thetas_obs, miller_indices, wavelength, unit_cell): two_thetas_calc = unit_cell.two_theta(miller_indices, wavelength, deg=True) return flex.sum(flex.pow2(two_thetas_obs - two_thetas_calc))
from dials.util.command_line import Importer
from dials.array_family import flex
import sys
# Get the imageset
importer = Importer(sys.argv[1:])
assert(len(importer.datablocks) == 1)
imagesets = importer.datablocks[0].extract_imagesets()
assert(len(imagesets) == 1)
imageset = imagesets[0]
# Create a mask
image = imageset[0]
mask = image >= 0
# Loop through all the images and sum the pixels
counts = []
for i, image in enumerate(imageset):
print 'Processing image %d' % i
counts.append(flex.sum(image.select(mask.as_1d())))
# Write the counts to file
with open("counts_per_image.txt", "w") as outfile:
for item in counts:
outfile.write('%s\n' % str(item))
from matplotlib import pylab
pylab.plot(counts)
pylab.show()
zc = zcal[index]
sbox = shoebox[index]
s1c = matrix.col(detector[0].get_pixel_lab_coord((xc, yc)))
phic = scan.get_angle_from_array_index(zc)
for j in range(sbox.data.all()[1]):
for i in range(sbox.data.all()[2]):
x = sbox.bbox[0] + i
y = sbox.bbox[2] + j
s1ij = matrix.col(detector[0].get_pixel_lab_coord((x,y)))
da = s1c.angle(s1ij)
for k in range(sbox.data.all()[0]):
z = sbox.bbox[4] + k
phi = scan.get_angle_from_array_index(z)
db = phic - phi
c = sbox.data[k,j,i]
diff_angle_d.extend([da] * int(1000.0*c / flex.sum(sbox.data)))
diff_angle_m.extend([db] * int(1000.0*c/ flex.sum(sbox.data)))
# counts.append(sbox.data[k,j,i])
print index
print min(diff_angle_d), max(diff_angle_d)
print min(diff_angle_m), max(diff_angle_m)
m = sum(diff_angle_m) / len(diff_angle_m)
v = sum([(d - m)**2 for d in diff_angle_m]) / len(diff_angle_m)
from math import sqrt
print m, sqrt(v)
from matplotlib import pylab
pylab.hist(diff_angle_d, bins=100)
pylab.show()
def test_for_reference(self):
from dials.algorithms.integration import ProfileFittingReciprocalSpace
from dials.array_family import flex
from dials.algorithms.shoebox import MaskCode
from dials.algorithms.statistics import \
kolmogorov_smirnov_test_standard_normal
from math import erf, sqrt, pi
from copy import deepcopy
from dials.algorithms.simulation.reciprocal_space import Simulator
from os.path import basename
# Integrate
integration = ProfileFittingReciprocalSpace(
grid_size=4,
threshold=0.00,
frame_interval=100,
n_sigma=5,
mask_n_sigma=3,
sigma_b=0.024 * pi / 180.0,
sigma_m=0.044 * pi / 180.0
)
# Integrate the reference profiles
integration(self.experiment, self.reference)
p = integration.learner.locate().profile(0)
m = integration.learner.locate().mask(0)
locator = integration.learner.locate()
cor = locator.correlations()
for j in range(cor.all()[0]):
print ' '.join([str(cor[j,i]) for i in range(cor.all()[1])])
#exit(0)
#from matplotlib import pylab
#pylab.imshow(cor.as_numpy_array(), interpolation='none', vmin=-1, vmax=1)
#pylab.show()
#n = locator.size()
#for i in range(n):
#c = locator.coord(i)
#p = locator.profile(i)
#vmax = flex.max(p)
#from matplotlib import pylab
#for j in range(9):
#pylab.subplot(3, 3, j+1)
#pylab.imshow(p.as_numpy_array()[j], vmin=0, vmax=vmax,
#interpolation='none')
#pylab.show()
#print "NRef: ", n
#x = []
#y = []
#for i in range(n):
#c = locator.coord(i)
#x.append(c[0])
#y.append(c[1])
#from matplotlib import pylab
#pylab.scatter(x,y)
#pylab.show()
#exit(0)
import numpy
#pmax = flex.max(p)
#scale = 100 / pmax
#print "Scale: ", 100 / pmax
#p = p.as_numpy_array() *100 / pmax
#p = p.astype(numpy.int)
#print p
#print m.as_numpy_array()
# Check the reference profiles and spots are ok
#self.check_profiles(integration.learner)
# Make sure background is zero
profiles = self.reference['rs_shoebox']
eps = 1e-7
for p in profiles:
assert(abs(flex.sum(p.background) - 0) < eps)
print 'OK'
# Only select variances greater than zero
mask = self.reference.get_flags(self.reference.flags.integrated)
I_cal = self.reference['intensity.sum.value']
I_var = self.reference['intensity.sum.variance']
B_sim = self.reference['background.sim'].as_double()
I_sim = self.reference['intensity.sim'].as_double()
I_exp = self.reference['intensity.exp']
P_cor = self.reference['profile.correlation']
X_pos, Y_pos, Z_pos = self.reference['xyzcal.px'].parts()
I_cal = I_cal.select(mask)
I_var = I_var.select(mask)
I_sim = I_sim.select(mask)
I_exp = I_exp.select(mask)
P_cor = P_cor.select(mask)
max_ind = flex.max_index(I_cal)
max_I = I_cal[max_ind]
max_P = self.reference[max_ind]['rs_shoebox'].data
max_C = self.reference[max_ind]['xyzcal.px']
max_S = self.reference[max_ind]['shoebox'].data
min_ind = flex.min_index(P_cor)
min_I = I_cal[min_ind]
min_P = self.reference[min_ind]['rs_shoebox'].data
min_C = self.reference[min_ind]['xyzcal.px']
min_S = self.reference[min_ind]['shoebox'].data
##for k in range(max_S.all()[0]):
#if False:
#for j in range(max_S.all()[1]):
#for i in range(max_S.all()[2]):
#max_S[k,j,i] = 0
#if (abs(i - max_S.all()[2] // 2) < 2 and
#abs(j - max_S.all()[1] // 2) < 2 and
#abs(k - max_S.all()[0] // 2) < 2):
#max_S[k,j,i] = 100
#p = max_P.as_numpy_array() * 100 / flex.max(max_P)
#p = p.astype(numpy.int)
#print p
#from dials.scratch.jmp.misc.test_transform import test_transform
#grid_size = 4
#ndiv = 5
#sigma_b = 0.024 * pi / 180.0
#sigma_m = 0.044 * pi / 180.0
#n_sigma = 4.0
#max_P2 = test_transform(
#self.experiment,
#self.reference[max_ind]['shoebox'],
#self.reference[max_ind]['s1'],
#self.reference[max_ind]['xyzcal.mm'][2],
#grid_size,
#sigma_m,
#sigma_b,
#n_sigma,
#ndiv)
#max_P = max_P2
ref_ind = locator.index(max_C)
ref_P = locator.profile(ref_ind)
ref_C = locator.coord(ref_ind)
print "Max Index: ", max_ind, max_I, flex.sum(max_P), flex.sum(max_S)
print "Coord: ", max_C, "Ref Coord: ", ref_C
print "Min Index: ", min_ind, min_I, flex.sum(min_P), flex.sum(min_S)
print "Coord: ", min_C, "Ref Coord: ", ref_C
#vmax = flex.max(max_P)
#print sum(max_S)
#print sum(max_P)
#from matplotlib import pylab, cm
#for j in range(9):
#pylab.subplot(3, 3, j+1)
#pylab.imshow(max_P.as_numpy_array()[j], vmin=0, vmax=vmax,
#interpolation='none', cmap=cm.Greys_r)
#pylab.show()
#vmax = flex.max(min_P)
#print sum(min_S)
#print sum(min_P)
#from matplotlib import pylab, cm
#for j in range(9):
#pylab.subplot(3, 3, j+1)
#pylab.imshow(min_P.as_numpy_array()[j], vmin=0, vmax=vmax,
#interpolation='none', cmap=cm.Greys_r)
#pylab.show()
#for k in range(max_S.all()[0]):
#print ''
#print 'Slice %d' % k
#for j in range(max_S.all()[1]):
#print ' '.join(["%-4d" % int(max_S[k,j,i]) for i in range(max_S.all()[2])])
print "Testing"
def f(I):
mask = flex.bool(flex.grid(9,9,9), False)
for k in range(9):
for j in range(9):
for i in range(9):
dx = 5 * (i - 4.5) / 4.5
dy = 5 * (j - 4.5) / 4.5
dz = 5 * (k - 4.5) / 4.5
dd = sqrt(dx**2 + dy**2 + dz**2)
if dd <= 3:
mask[k,j,i] = True
mask = mask.as_1d() & (ref_P.as_1d() > 0)
p = ref_P.as_1d().select(mask)
c = max_P.as_1d().select(mask)
return flex.sum((c - I * p)**2 / (I * p))
def df(I):
mask = flex.bool(flex.grid(9,9,9), False)
for k in range(9):
for j in range(9):
for i in range(9):
dx = 5 * (i - 4.5) / 4.5
dy = 5 * (j - 4.5) / 4.5
dz = 5 * (k - 4.5) / 4.5
dd = sqrt(dx**2 + dy**2 + dz**2)
if dd <= 3:
mask[k,j,i] = True
mask = mask.as_1d() & (ref_P.as_1d() > 0)
p = ref_P.as_1d().select(mask)
c = max_P.as_1d().select(mask)
b = 0
return flex.sum(p) - flex.sum(c*c / (I*I*p))
#return flex.sum(p - p*c*c / ((b + I*p)**2))
#return flex.sum(3*p*p + (c*c*p*p - 4*b*p*p) / ((b + I*p)**2))
#return flex.sum(p - c*c / (I*I*p))
#return flex.sum(p * (-c+p*I)*(c+p*I)/((p*I)**2))
def d2f(I):
mask = flex.bool(flex.grid(9,9,9), False)
for k in range(9):
for j in range(9):
for i in range(9):
dx = 5 * (i - 4.5) / 4.5
dy = 5 * (j - 4.5) / 4.5
dz = 5 * (k - 4.5) / 4.5
dd = sqrt(dx**2 + dy**2 + dz**2)
if dd <= 3:
mask[k,j,i] = True
mask = mask.as_1d() & (ref_P.as_1d() > 0)
p = ref_P.as_1d().select(mask)
c = max_P.as_1d().select(mask)
return flex.sum(2*c*c*p*p / (p*I)**3)
I = 10703#flex.sum(max_P)
mask = ref_P.as_1d() > 0
p = ref_P.as_1d().select(mask)
c = max_P.as_1d().select(mask)
for i in range(10):
I = I - df(I) / d2f(I)
#v = I*p
#I = flex.sum(c * p / v) / flex.sum(p*p / v)
print I
from math import log
ff = []
for I in range(9500, 11500):
ff.append(f(I))
print sorted(range(len(ff)), key=lambda x: ff[x])[0] + 9500
from matplotlib import pylab
pylab.plot(range(9500,11500), ff)
pylab.show()
#exit(0)
#I = 10000
#print flex.sum((max_P - I * ref_P)**2) / flex.sum(I * ref_P)
#I = 10100
#print flex.sum((max_P - I * ref_P)**2) / flex.sum(I * ref_P)
#exit(0)
print flex.sum(self.reference[0]['rs_shoebox'].data)
print I_cal[0]
# Calculate the z score
perc = self.mv3n_tolerance_interval(3*3)
Z = (I_cal - I_sim) / flex.sqrt(I_var)
mv = flex.mean_and_variance(Z)
Z_mean = mv.mean()
Z_var = mv.unweighted_sample_variance()
print "Z: mean: %f, var: %f, sig: %f" % (Z_mean, Z_var, sqrt(Z_var))
print len(I_cal)
from matplotlib import pylab
from mpl_toolkits.mplot3d import Axes3D
#fig = pylab.figure()
#ax = fig.add_subplot(111, projection='3d')
#ax.scatter(X_pos, Y_pos, P_cor)
#pylab.scatter(X_pos, P_cor)
#pylab.scatter(Y_pos, P_cor)
#pylab.scatter(Z_pos, P_cor)
#pylab.hist(P_cor,100)
#pylab.scatter(P_cor, (I_cal - I_exp) / I_exp)
pylab.hist(Z, 100)
#pylab.hist(I_cal,100)
#pylab.hist(I_cal - I_sim, 100)
pylab.show()
def test_for_reference(self):
from dials.array_family import flex
from math import sqrt, pi
# Integrate
integration = self.experiments[0].profile.fitting_class()(self.experiments[0])
# Integrate the reference profiles
integration(self.experiments, self.reference)
locator = integration.learner.locate()
# Check the reference profiles and spots are ok
#self.check_profiles(integration.learner)
# Make sure background is zero
profiles = self.reference['rs_shoebox']
eps = 1e-7
for p in profiles:
assert(abs(flex.sum(p.background) - 0) < eps)
print 'OK'
# Only select variances greater than zero
mask = self.reference.get_flags(self.reference.flags.integrated, all=False)
assert(mask.count(True) > 0)
I_cal = self.reference['intensity.prf.value']
I_var = self.reference['intensity.prf.variance']
B_sim = self.reference['background.sim.a'].as_double()
I_sim = self.reference['intensity.sim'].as_double()
I_exp = self.reference['intensity.exp']
P_cor = self.reference['profile.correlation']
X_pos, Y_pos, Z_pos = self.reference['xyzcal.px'].parts()
I_cal = I_cal.select(mask)
I_var = I_var.select(mask)
I_sim = I_sim.select(mask)
I_exp = I_exp.select(mask)
P_cor = P_cor.select(mask)
max_ind = flex.max_index(flex.abs(I_cal-I_sim))
max_I = I_cal[max_ind]
max_P = self.reference[max_ind]['rs_shoebox'].data
max_C = self.reference[max_ind]['xyzcal.px']
max_S = self.reference[max_ind]['shoebox'].data
ref_ind = locator.index(max_C)
ref_P = locator.profile(ref_ind)
ref_C = locator.coord(ref_ind)
#def f(I):
#mask = flex.bool(flex.grid(9,9,9), False)
#for k in range(9):
#for j in range(9):
#for i in range(9):
#dx = 5 * (i - 4.5) / 4.5
#dy = 5 * (j - 4.5) / 4.5
#dz = 5 * (k - 4.5) / 4.5
#dd = sqrt(dx**2 + dy**2 + dz**2)
#if dd <= 3:
#mask[k,j,i] = True
#mask = mask.as_1d() & (ref_P.as_1d() > 0)
#p = ref_P.as_1d().select(mask)
#c = max_P.as_1d().select(mask)
#return flex.sum((c - I * p)**2 / (I * p))
#ff = []
#for I in range(9500, 11500):
#ff.append(f(I))
#print 'Old I: ', sorted(range(len(ff)), key=lambda x: ff[x])[0] + 9500
#from matplotlib import pylab
#pylab.plot(range(9500, 11500), ff)
#pylab.show()
#def estI(I):
#mask = flex.bool(flex.grid(9,9,9), False)
#for k in range(9):
#for j in range(9):
#for i in range(9):
#dx = 5 * (i - 4.5) / 4.5
#dy = 5 * (j - 4.5) / 4.5
#dz = 5 * (k - 4.5) / 4.5
#dd = sqrt(dx**2 + dy**2 + dz**2)
#if dd <= 3:
#mask[k,j,i] = True
#mask = mask.as_1d() & (ref_P.as_1d() > 0)
#p = ref_P.as_1d().select(mask)
#c = max_P.as_1d().select(mask)
#v = I * p
#return flex.sum(c * p / v) / flex.sum(p*p/v)
#def iterI(I0):
#I = estI(I0)
#print I
#if abs(I - I0) < 1e-3:
#return I
#return iterI(I)
#newI = iterI(10703)#flex.sum(max_P))
#print "New I: ", newI
# Calculate the z score
perc = self.mv3n_tolerance_interval(3*3)
Z = (I_cal - I_sim) / flex.sqrt(I_var)
mv = flex.mean_and_variance(Z)
Z_mean = mv.mean()
Z_var = mv.unweighted_sample_variance()
print "Z: mean: %f, var: %f, sig: %f" % (Z_mean, Z_var, sqrt(Z_var))
# Compute the profile model
experiments = ProfileModelFactory.create(params, experiments, reference)
# Compute the bounding box
predicted.compute_bbox(experiments)
# Create the integrator
integrator = IntegratorFactory.create(params, experiments, predicted)
# Integrate the reflections
reflections = integrator.integrate()
#print len(reflections)
stats['integrated_intensity'] = flex.sum(reflections['intensity.sum.value'])
except Exception, e:
logger.error(e)
stats['error'] = str(e)
finally:
t4 = time.time()
logger.info('Integration took %.2f seconds' %(t4-t3))
return stats
class handler(server_base.BaseHTTPRequestHandler):
def do_GET(s):
'''Respond to a GET request.'''
s.send_response(200)
s.send_header('Content-type', 'text/xml')
s.end_headers()
def __init__(self,measurements_orig, params, i_model, miller_set, result, out):
measurements = measurements_orig.deep_copy()
# Now manipulate the data to conform to unit cell, asu, and space group
# of reference. The resolution will be cut later.
# Only works if there is NOT an indexing ambiguity!
observations = measurements.customized_copy(
anomalous_flag=not params.merge_anomalous,
crystal_symmetry=miller_set.crystal_symmetry()
).map_to_asu()
observations_original_index = measurements.customized_copy(
anomalous_flag=not params.merge_anomalous,
crystal_symmetry=miller_set.crystal_symmetry()
)
# Ensure that match_multi_indices() will return identical results
# when a frame's observations are matched against the
# pre-generated Miller set, self.miller_set, and the reference
# data set, self.i_model. The implication is that the same match
# can be used to map Miller indices to array indices for intensity
# accumulation, and for determination of the correlation
# coefficient in the presence of a scaling reference.
assert len(i_model.indices()) == len(miller_set.indices()) \
and (i_model.indices() ==
miller_set.indices()).count(False) == 0
matches = miller.match_multi_indices(
miller_indices_unique=miller_set.indices(),
miller_indices=observations.indices())
pair1 = flex.int([pair[1] for pair in matches.pairs()])
pair0 = flex.int([pair[0] for pair in matches.pairs()])
# narrow things down to the set that matches, only
observations_pair1_selected = observations.customized_copy(
indices = flex.miller_index([observations.indices()[p] for p in pair1]),
data = flex.double([observations.data()[p] for p in pair1]),
sigmas = flex.double([observations.sigmas()[p] for p in pair1]),
)
observations_original_index_pair1_selected = observations_original_index.customized_copy(
indices = flex.miller_index([observations_original_index.indices()[p] for p in pair1]),
data = flex.double([observations_original_index.data()[p] for p in pair1]),
sigmas = flex.double([observations_original_index.sigmas()[p] for p in pair1]),
)
###################
I_observed = observations_pair1_selected.data()
MILLER = observations_original_index_pair1_selected.indices()
ORI = result["current_orientation"][0]
Astar = matrix.sqr(ORI.reciprocal_matrix())
WAVE = result["wavelength"]
BEAM = matrix.col((0.0,0.0,-1./WAVE))
BFACTOR = 0.
#calculation of correlation here
I_reference = flex.double([i_model.data()[pair[0]] for pair in matches.pairs()])
use_weights = False # New facility for getting variance-weighted correlation
if use_weights:
#variance weighting
I_weight = flex.double(
[1./(observations_pair1_selected.sigmas()[pair[1]])**2 for pair in matches.pairs()])
else:
I_weight = flex.double(len(observations_pair1_selected.sigmas()), 1.)
"""Explanation of 'include_negatives' semantics as originally implemented in cxi.merge postrefinement:
include_negatives = True
+ and - reflections both used for Rh distribution for initial estimate of RS parameter
+ and - reflections both used for calc/obs correlation slope for initial estimate of G parameter
+ and - reflections both passed to the refinery and used in the target function (makes sense if
you look at it from a certain point of view)
include_negatives = False
+ and - reflections both used for Rh distribution for initial estimate of RS parameter
+ reflections only used for calc/obs correlation slope for initial estimate of G parameter
+ and - reflections both passed to the refinery and used in the target function (makes sense if
you look at it from a certain point of view)
"""
if params.include_negatives:
SWC = simple_weighted_correlation(I_weight, I_reference, I_observed)
else:
non_positive = ( observations_pair1_selected.data() <= 0 )
SWC = simple_weighted_correlation(I_weight.select(~non_positive),
I_reference.select(~non_positive), I_observed.select(~non_positive))
print >> out, "Old correlation is", SWC.corr
if params.postrefinement.algorithm=="rs":
Rhall = flex.double()
for mill in MILLER:
H = matrix.col(mill)
Xhkl = Astar*H
Rh = ( Xhkl + BEAM ).length() - (1./WAVE)
Rhall.append(Rh)
Rs = math.sqrt(flex.mean(Rhall*Rhall))
RS = 1./10000. # reciprocal effective domain size of 1 micron
RS = Rs # try this empirically determined approximate, monochrome, a-mosaic value
current = flex.double([SWC.slope, BFACTOR, RS, 0., 0.])
parameterization_class = rs_parameterization
refinery = rs_refinery(ORI=ORI, MILLER=MILLER, BEAM=BEAM, WAVE=WAVE,
ICALCVEC = I_reference, IOBSVEC = I_observed)
elif params.postrefinement.algorithm=="eta_deff":
eta_init = 2. * result["ML_half_mosaicity_deg"][0] * math.pi/180.
D_eff_init = 2.*result["ML_domain_size_ang"][0]
current = flex.double([SWC.slope, BFACTOR, eta_init, 0., 0.,D_eff_init,])
parameterization_class = eta_deff_parameterization
refinery = eta_deff_refinery(ORI=ORI, MILLER=MILLER, BEAM=BEAM, WAVE=WAVE,
ICALCVEC = I_reference, IOBSVEC = I_observed)
func = refinery.fvec_callable(parameterization_class(current))
functional = flex.sum(func*func)
print >> out, "functional",functional
self.current = current; self.parameterization_class = parameterization_class
self.refinery = refinery; self.out=out; self.params = params;
self.miller_set = miller_set
self.observations_pair1_selected = observations_pair1_selected;
self.observations_original_index_pair1_selected = observations_original_index_pair1_selected
def run(self):
''' Parse the options. '''
from dials.util.options import flatten_experiments, flatten_reflections
# Parse the command line arguments
params, options = self.parser.parse_args(show_diff_phil=True)
self.params = params
experiments = flatten_experiments(params.input.experiments)
# Find all detector objects
detectors = experiments.detectors()
# Verify inputs
if len(params.input.reflections) == len(detectors) and len(detectors) > 1:
# case for passing in multiple images on the command line
assert len(params.input.reflections) == len(detectors)
reflections = flex.reflection_table()
for expt_id in xrange(len(detectors)):
subset = params.input.reflections[expt_id].data
subset['id'] = flex.int(len(subset), expt_id)
reflections.extend(subset)
else:
# case for passing in combined experiments and reflections
reflections = flatten_reflections(params.input.reflections)[0]
detector = detectors[0]
#from dials.algorithms.refinement.prediction import ExperimentsPredictor
#ref_predictor = ExperimentsPredictor(experiments, force_stills=experiments.all_stills())
print "N reflections total:", len(reflections)
if params.residuals.exclude_outliers:
reflections = reflections.select(reflections.get_flags(reflections.flags.used_in_refinement))
print "N reflections used in refinement:", len(reflections)
print "Reporting only on those reflections used in refinement"
if self.params.residuals.i_sigi_cutoff is not None:
sel = (reflections['intensity.sum.value']/flex.sqrt(reflections['intensity.sum.variance'])) >= self.params.residuals.i_sigi_cutoff
reflections = reflections.select(sel)
print "After filtering by I/sigi cutoff of %f, there are %d reflections left"%(self.params.residuals.i_sigi_cutoff,len(reflections))
reflections['difference_vector_norms'] = (reflections['xyzcal.mm']-reflections['xyzobs.mm.value']).norms()
n = len(reflections)
rmsd = self.get_weighted_rmsd(reflections)
print "Dataset RMSD (microns)", rmsd * 1000
if params.tag is None:
tag = ''
else:
tag = '%s '%params.tag
# set up delta-psi ratio heatmap
p = flex.int() # positive
n = flex.int() # negative
for i in set(reflections['id']):
exprefls = reflections.select(reflections['id']==i)
p.append(len(exprefls.select(exprefls['delpsical.rad']>0)))
n.append(len(exprefls.select(exprefls['delpsical.rad']<0)))
plt.hist2d(p, n, bins=30)
cb = plt.colorbar()
cb.set_label("N images")
plt.title(r"%s2D histogram of pos vs. neg $\Delta\Psi$ per image"%tag)
plt.xlabel(r"N reflections with $\Delta\Psi$ > 0")
plt.ylabel(r"N reflections with $\Delta\Psi$ < 0")
self.delta_scalar = 50
# Iterate through the detectors, computing detector statistics at the per-panel level (IE one statistic per panel)
# Per panel dictionaries
rmsds = {}
refl_counts = {}
transverse_rmsds = {}
radial_rmsds = {}
ttdpcorr = {}
pg_bc_dists = {}
mean_delta_two_theta = {}
# per panelgroup flex arrays
pg_rmsds = flex.double()
pg_r_rmsds = flex.double()
pg_t_rmsds = flex.double()
pg_refls_count = flex.int()
pg_refls_count_d = {}
table_header = ["PG id", "RMSD","Radial", "Transverse", "N refls"]
table_header2 = ["","(um)","RMSD (um)","RMSD (um)",""]
table_data = []
table_data.append(table_header)
table_data.append(table_header2)
# Compute a set of radial and transverse displacements for each reflection
print "Setting up stats..."
tmp = flex.reflection_table()
# Need to construct a variety of vectors
for panel_id, panel in enumerate(detector):
panel_refls = reflections.select(reflections['panel'] == panel_id)
bcl = flex.vec3_double()
tto = flex.double()
ttc = flex.double()
# Compute the beam center in lab space (a vector pointing from the origin to where the beam would intersect
# the panel, if it did intersect the panel)
for expt_id in set(panel_refls['id']):
beam = experiments[expt_id].beam
s0 = beam.get_s0()
expt_refls = panel_refls.select(panel_refls['id'] == expt_id)
beam_centre = panel.get_beam_centre_lab(s0)
bcl.extend(flex.vec3_double(len(expt_refls), beam_centre))
obs_x, obs_y, _ = expt_refls['xyzobs.px.value'].parts()
cal_x, cal_y, _ = expt_refls['xyzcal.px'].parts()
tto.extend(flex.double([panel.get_two_theta_at_pixel(s0, (obs_x[i], obs_y[i])) for i in xrange(len(expt_refls))]))
ttc.extend(flex.double([panel.get_two_theta_at_pixel(s0, (cal_x[i], cal_y[i])) for i in xrange(len(expt_refls))]))
panel_refls['beam_centre_lab'] = bcl
panel_refls['two_theta_obs'] = tto * (180/math.pi)
panel_refls['two_theta_cal'] = ttc * (180/math.pi) #+ (0.5*panel_refls['delpsical.rad']*panel_refls['two_theta_obs'])
# Compute obs in lab space
x, y, _ = panel_refls['xyzobs.mm.value'].parts()
c = flex.vec2_double(x, y)
panel_refls['obs_lab_coords'] = panel.get_lab_coord(c)
# Compute deltaXY in panel space. This vector is relative to the panel origin
x, y, _ = (panel_refls['xyzcal.mm'] - panel_refls['xyzobs.mm.value']).parts()
# Convert deltaXY to lab space, subtracting off of the panel origin
panel_refls['delta_lab_coords'] = panel.get_lab_coord(flex.vec2_double(x,y)) - panel.get_origin()
tmp.extend(panel_refls)
reflections = tmp
# The radial vector points from the center of the reflection to the beam center
radial_vectors = (reflections['obs_lab_coords'] - reflections['beam_centre_lab']).each_normalize()
# The transverse vector is orthogonal to the radial vector and the beam vector
transverse_vectors = radial_vectors.cross(reflections['beam_centre_lab']).each_normalize()
# Compute the raidal and transverse components of each deltaXY
reflections['radial_displacements'] = reflections['delta_lab_coords'].dot(radial_vectors)
reflections['transverse_displacements'] = reflections['delta_lab_coords'].dot(transverse_vectors)
# Iterate through the detector at the specified hierarchy level
for pg_id, pg in enumerate(iterate_detector_at_level(detector.hierarchy(), 0, params.hierarchy_level)):
pg_msd_sum = 0
pg_r_msd_sum = 0
pg_t_msd_sum = 0
pg_refls = 0
pg_delpsi = flex.double()
pg_deltwotheta = flex.double()
for p in iterate_panels(pg):
panel_id = id_from_name(detector, p.get_name())
panel_refls = reflections.select(reflections['panel'] == panel_id)
n = len(panel_refls)
pg_refls += n
delta_x = panel_refls['xyzcal.mm'].parts()[0] - panel_refls['xyzobs.mm.value'].parts()[0]
delta_y = panel_refls['xyzcal.mm'].parts()[1] - panel_refls['xyzobs.mm.value'].parts()[1]
tmp = flex.sum((delta_x**2)+(delta_y**2))
pg_msd_sum += tmp
r = panel_refls['radial_displacements']
t = panel_refls['transverse_displacements']
pg_r_msd_sum += flex.sum_sq(r)
pg_t_msd_sum += flex.sum_sq(t)
pg_delpsi.extend(panel_refls['delpsical.rad']*180/math.pi)
pg_deltwotheta.extend(panel_refls['two_theta_obs'] - panel_refls['two_theta_cal'])
bc = col(pg.get_beam_centre_lab(s0))
ori = get_center(pg)
pg_bc_dists[pg.get_name()] = (ori-bc).length()
if len(pg_deltwotheta) > 0:
mean_delta_two_theta[pg.get_name()] = flex.mean(pg_deltwotheta)
else:
mean_delta_two_theta[pg.get_name()] = 0
if pg_refls == 0:
pg_rmsd = pg_r_rmsd = pg_t_rmsd = 0
else:
pg_rmsd = math.sqrt(pg_msd_sum/pg_refls) * 1000
pg_r_rmsd = math.sqrt(pg_r_msd_sum/pg_refls) * 1000
pg_t_rmsd = math.sqrt(pg_t_msd_sum/pg_refls) * 1000
pg_rmsds.append(pg_rmsd)
pg_r_rmsds.append(pg_r_rmsd)
pg_t_rmsds.append(pg_t_rmsd)
pg_refls_count.append(pg_refls)
pg_refls_count_d[pg.get_name()] = pg_refls
table_data.append(["%d"%pg_id, "%.1f"%pg_rmsd, "%.1f"%pg_r_rmsd, "%.1f"%pg_t_rmsd, "%6d"%pg_refls])
refl_counts[pg.get_name()] = pg_refls
if pg_refls == 0:
rmsds[p.get_name()] = -1
radial_rmsds[p.get_name()] = -1
transverse_rmsds[p.get_name()] = -1
ttdpcorr[pg.get_name()] = -1
else:
rmsds[pg.get_name()] = pg_rmsd
radial_rmsds[pg.get_name()] = pg_r_rmsd
transverse_rmsds[pg.get_name()] = pg_t_rmsd
lc = flex.linear_correlation(pg_delpsi, pg_deltwotheta)
ttdpcorr[pg.get_name()] = lc.coefficient()
r1 = ["Weighted mean"]
r2 = ["Weighted stddev"]
if len(pg_rmsds) > 1:
stats = flex.mean_and_variance(pg_rmsds, pg_refls_count.as_double())
r1.append("%.1f"%stats.mean())
r2.append("%.1f"%stats.gsl_stats_wsd())
stats = flex.mean_and_variance(pg_r_rmsds, pg_refls_count.as_double())
r1.append("%.1f"%stats.mean())
r2.append("%.1f"%stats.gsl_stats_wsd())
stats = flex.mean_and_variance(pg_t_rmsds, pg_refls_count.as_double())
r1.append("%.1f"%stats.mean())
r2.append("%.1f"%stats.gsl_stats_wsd())
else:
r1.extend([""]*3)
r2.extend([""]*3)
r1.append("")
r2.append("")
table_data.append(r1)
table_data.append(r2)
table_data.append(["Mean", "", "", "", "%8.1f"%flex.mean(pg_refls_count.as_double())])
from libtbx import table_utils
print "Detector statistics. Angles in degrees, RMSDs in microns"
print table_utils.format(table_data,has_header=2,justify='center',delim=" ")
self.histogram(reflections, '%sDifference vector norms (mm)'%tag)
if params.show_plots:
if self.params.tag is None:
t = ""
else:
t = "%s "%self.params.tag
self.image_rmsd_histogram(reflections, tag)
# Plots! these are plots with callbacks to draw on individual panels
self.detector_plot_refls(detector, reflections, '%sOverall positional displacements (mm)'%tag, show=False, plot_callback=self.plot_obs_colored_by_deltas)
self.detector_plot_refls(detector, reflections, '%sRadial positional displacements (mm)'%tag, show=False, plot_callback=self.plot_obs_colored_by_radial_deltas)
self.detector_plot_refls(detector, reflections, '%sTransverse positional displacements (mm)'%tag, show=False, plot_callback=self.plot_obs_colored_by_transverse_deltas)
self.detector_plot_refls(detector, reflections, r'%s$\Delta\Psi$'%tag, show=False, plot_callback=self.plot_obs_colored_by_deltapsi, colorbar_units=r"$\circ$")
self.detector_plot_refls(detector, reflections, r'%s$\Delta$XY*%s'%(tag, self.delta_scalar), show=False, plot_callback=self.plot_deltas)
self.detector_plot_refls(detector, reflections, '%sSP Manual CDF'%tag, show=False, plot_callback=self.plot_cdf_manually)
self.detector_plot_refls(detector, reflections, r'%s$\Delta$XY Histograms'%tag, show=False, plot_callback=self.plot_histograms)
self.detector_plot_refls(detector, reflections, r'%sRadial displacements vs. $\Delta\Psi$, colored by $\Delta$XY'%tag, show=False, plot_callback=self.plot_radial_displacements_vs_deltapsi)
self.detector_plot_refls(detector, reflections, r'%sDistance vector norms'%tag, show=False, plot_callback=self.plot_difference_vector_norms_histograms)
# Plot intensity vs. radial_displacement
fig = plt.figure()
panel_id = 15
panel_refls = reflections.select(reflections['panel'] == panel_id)
a = panel_refls['radial_displacements']
b = panel_refls['intensity.sum.value']
sel = (a > -0.2) & (a < 0.2) & (b < 50000)
plt.hist2d(a.select(sel), b.select(sel), bins=100)
plt.title("%s2D histogram of intensity vs. radial displacement for panel %d"%(tag, panel_id))
plt.xlabel("Radial displacement (mm)")
plt.ylabel("Intensity")
ax = plt.colorbar()
ax.set_label("Counts")
# Plot delta 2theta vs. deltapsi
n_bins = 10
bin_size = len(reflections)//n_bins
bin_low = []
bin_high = []
data = flex.sorted(reflections['two_theta_obs'])
for i in xrange(n_bins):
bin_low = data[i*bin_size]
if (i+1)*bin_size >= len(reflections):
bin_high = data[-1]
else:
bin_high = data[(i+1)*bin_size]
refls = reflections.select((reflections['two_theta_obs'] >= bin_low) &
(reflections['two_theta_obs'] <= bin_high))
a = refls['delpsical.rad']*180/math.pi
b = refls['two_theta_obs'] - refls['two_theta_cal']
fig = plt.figure()
sel = (a > -0.2) & (a < 0.2) & (b > -0.05) & (b < 0.05)
plt.hist2d(a.select(sel), b.select(sel), bins=50, range = [[-0.2, 0.2], [-0.05, 0.05]])
cb = plt.colorbar()
cb.set_label("N reflections")
plt.title(r'%sBin %d (%.02f, %.02f 2$\Theta$) $\Delta2\Theta$ vs. $\Delta\Psi$. Showing %d of %d refls'%(tag,i,bin_low,bin_high,len(a.select(sel)),len(a)))
plt.xlabel(r'$\Delta\Psi \circ$')
plt.ylabel(r'$\Delta2\Theta \circ$')
# Plot delta 2theta vs. 2theta
a = reflections['two_theta_obs']#[:71610]
b = reflections['two_theta_obs'] - reflections['two_theta_cal']
fig = plt.figure()
limits = -0.05, 0.05
sel = (b > limits[0]) & (b < limits[1])
plt.hist2d(a.select(sel), b.select(sel), bins=100, range=((0,50), limits))
plt.clim((0,100))
cb = plt.colorbar()
cb.set_label("N reflections")
plt.title(r'%s$\Delta2\Theta$ vs. 2$\Theta$. Showing %d of %d refls'%(tag,len(a.select(sel)),len(a)))
plt.xlabel(r'2$\Theta \circ$')
plt.ylabel(r'$\Delta2\Theta \circ$')
# calc the trendline
z = np.polyfit(a.select(sel), b.select(sel), 1)
print 'y=%.7fx+(%.7f)'%(z[0],z[1])
# Plots with single values per panel
self.detector_plot_dict(detector, refl_counts, u"%s N reflections"%t, u"%6d", show=False)
self.detector_plot_dict(detector, rmsds, "%s Positional RMSDs (microns)"%t, u"%4.1f", show=False)
self.detector_plot_dict(detector, radial_rmsds, "%s Radial RMSDs (microns)"%t, u"%4.1f", show=False)
self.detector_plot_dict(detector, transverse_rmsds, "%s Transverse RMSDs (microns)"%t, u"%4.1f", show=False)
self.detector_plot_dict(detector, ttdpcorr, r"%s $\Delta2\Theta$ vs. $\Delta\Psi$ CC"%t, u"%5.3f", show=False)
self.plot_unitcells(experiments)
self.plot_data_by_two_theta(reflections, tag)
# Plot data by panel group
sorted_values = sorted(pg_bc_dists.values())
vdict = {}
for k in pg_bc_dists:
vdict[pg_bc_dists[k]] = k
sorted_keys = [vdict[v] for v in sorted_values if vdict[v] in rmsds]
x = [sorted_values[i] for i in xrange(len(sorted_values)) if pg_bc_dists.keys()[i] in rmsds]
self.plot_multi_data(x,
[[pg_refls_count_d[k] for k in sorted_keys],
([rmsds[k] for k in sorted_keys],
[radial_rmsds[k] for k in sorted_keys],
[transverse_rmsds[k] for k in sorted_keys]),
[radial_rmsds[k]/transverse_rmsds[k] for k in sorted_keys],
[mean_delta_two_theta[k] for k in sorted_keys]],
"Panel group distance from beam center (mm)",
["N reflections",
("Overall RMSD",
"Radial RMSD",
"Transverse RMSD"),
"R/T RMSD ratio",
"Delta two theta"],
["N reflections",
"RMSD (microns)",
"R/T RMSD ratio",
"Delta two theta (degrees)"],
"%sData by panelgroup"%tag)
if self.params.save_pdf:
pp = PdfPages('residuals_%s.pdf'%(tag.strip()))
for i in plt.get_fignums():
pp.savefig(plt.figure(i))
pp.close()
else:
plt.show()
def tst_conservation_of_counts(self):
from scitbx import matrix
from random import uniform
from dials.algorithms.profile_model.gaussian_rs import CoordinateSystem
from dials.algorithms.profile_model.gaussian_rs import transform
from scitbx.array_family import flex
assert len(self.detector) == 1
s0 = self.beam.get_s0()
m2 = self.gonio.get_rotation_axis()
s0_length = matrix.col(self.beam.get_s0()).length()
# Create an s1 map
s1_map = transform.beam_vector_map(self.detector[0], self.beam, True)
for i in range(100):
# Get random x, y, z
x = uniform(300, 1800)
y = uniform(300, 1800)
z = uniform(0, 9)
# Get random s1, phi, panel
s1 = matrix.col(self.detector[0].get_pixel_lab_coord((x, y))).normalize() * s0_length
phi = self.scan.get_angle_from_array_index(z, deg=False)
panel = 0
# Calculate the bounding box
bbox = self.calculate_bbox(s1, z, panel)
x0, x1, y0, y1, z0, z1 = bbox
# Create the coordinate system
cs = CoordinateSystem(m2, s0, s1, phi)
# The grid index generator
step_size = self.delta_divergence / self.grid_size
grid_index = transform.GridIndexGenerator(cs, x0, y0, (step_size, step_size), self.grid_size, s1_map)
# Create the image
# image = flex.double(flex.grid(z1 - z0, y1 - y0, x1 - x0), 1)
image = gaussian((z1 - z0, y1 - y0, x1 - x0), 10.0, (z - z0, y - y0, x - x0), (2.0, 2.0, 2.0))
mask = flex.bool(flex.grid(image.all()), False)
for j in range(y1 - y0):
for i in range(x1 - x0):
inside = False
gx00, gy00 = grid_index(j, i)
gx01, gy01 = grid_index(j, i + 1)
gx10, gy10 = grid_index(j + 1, i)
gx11, gy11 = grid_index(j + 1, i + 1)
mingx = min([gx00, gx01, gx10, gx11])
maxgx = max([gx00, gx01, gx10, gx11])
mingy = min([gy00, gy01, gy10, gy11])
maxgy = max([gy00, gy01, gy10, gy11])
if mingx >= 0 and maxgx < 2 * self.grid_size + 1 and mingy >= 0 and maxgy < 2 * self.grid_size + 1:
inside = True
for k in range(1, z1 - z0 - 1):
mask[k, j, i] = inside
# Transform the image to the grid
transformed = transform.TransformForward(self.spec, cs, bbox, 0, image.as_double(), mask)
grid = transformed.profile()
# Get the sums and ensure they're the same
eps = 1e-7
sum_grid = flex.sum(grid)
sum_image = flex.sum(flex.double(flex.select(image, flags=mask)))
assert abs(sum_grid - sum_image) <= eps
# Test passed
print "OK"
def spot_counts_per_image_plot(reflections, char='*', width=60, height=10):
from dials.array_family import flex
if len(reflections) == 0:
return '\n'
assert isinstance(char, basestring)
assert len(char) == 1
x,y,z = reflections['xyzobs.px.value'].parts()
min_z = flex.min(z)
max_z = flex.max(z)
# image numbers to display on x-axis label
xlab = (int(round(min_z + 0.5)), int(round(max_z + 0.5)))
# estimate the total number of images
image_count = xlab[1] - xlab[0] + 1
z_range = max_z - min_z + 1
if z_range <= 1:
return '%i spots found on 1 image' %len(reflections)
width = int(min(z_range, width))
z_step = z_range / width
z_bound = min_z + z_step - 0.5
# print [round(i * 10) / 10 for i in sorted(z)]
counts = flex.double()
sel = (z < z_bound)
counts.append(sel.count(True))
# print 0, ('-', z_bound), sel.count(True)
for i in range(1, width-1):
sel = ((z >= z_bound) & (z < (z_bound + z_step)))
counts.append(sel.count(True))
# print i, (z_bound, z_bound + z_step), sel.count(True)
z_bound += z_step
sel = (z >= z_bound)
# print i + 1, (z_bound, '-'), sel.count(True)
counts.append(sel.count(True))
max_count = flex.max(counts)
total_counts = flex.sum(counts)
assert total_counts == len(z)
counts *= (height/max_count)
counts = counts.iround()
rows = []
rows.append('%i spots found on %i images (max %i / bin)' %(
total_counts, image_count, max_count))
for i in range(height, 0, -1):
row = []
for j, c in enumerate(counts):
if c > (i - 1):
row.append(char)
else:
row.append(' ')
rows.append(''.join(row))
padding = width - len(str(xlab[0])) - len(str(xlab[1]))
rows.append('%i%s%i' % (xlab[0],
(' ' if padding < 7 else 'image').center(padding),
xlab[1]))
return '\n'.join(rows)
def tst_conservation_of_counts(self):
from scitbx import matrix
from random import uniform, seed
from dials.algorithms.profile_model.gaussian_rs import CoordinateSystem
from dials.algorithms.profile_model.gaussian_rs import transform
from scitbx.array_family import flex
seed(0)
assert len(self.detector) == 1
s0 = self.beam.get_s0()
m2 = self.gonio.get_rotation_axis()
s0_length = matrix.col(self.beam.get_s0()).length()
# Create an s1 map
s1_map = transform.beam_vector_map(self.detector[0], self.beam, True)
for i in range(100):
# Get random x, y, z
x = uniform(300, 1800)
y = uniform(300, 1800)
z = uniform(500, 600)
# Get random s1, phi, panel
s1 = matrix.col(self.detector[0].get_pixel_lab_coord((x, y))).normalize() * s0_length
phi = self.scan.get_angle_from_array_index(z, deg=False)
panel = 0
# Calculate the bounding box
bbox = self.calculate_bbox(s1, z, panel)
x0, x1, y0, y1, z0, z1 = bbox
# Create the coordinate system
cs = CoordinateSystem(m2, s0, s1, phi)
if abs(cs.zeta()) < 0.1:
continue
# The grid index generator
step_size = self.delta_divergence / self.grid_size
grid_index = transform.GridIndexGenerator(cs, x0, y0, (step_size, step_size), self.grid_size, s1_map)
# Create the image
# image = flex.double(flex.grid(z1 - z0, y1 - y0, x1 - x0), 1)
image = gaussian((z1 - z0, y1 - y0, x1 - x0), 10.0, (z - z0, y - y0, x - x0), (2.0, 2.0, 2.0))
mask = flex.bool(flex.grid(image.all()), False)
for j in range(y1 - y0):
for i in range(x1 - x0):
inside = False
gx00, gy00 = grid_index(j, i)
gx01, gy01 = grid_index(j, i + 1)
gx10, gy10 = grid_index(j + 1, i)
gx11, gy11 = grid_index(j + 1, i + 1)
mingx = min([gx00, gx01, gx10, gx11])
maxgx = max([gx00, gx01, gx10, gx11])
mingy = min([gy00, gy01, gy10, gy11])
maxgy = max([gy00, gy01, gy10, gy11])
if mingx >= 0 and maxgx < 2 * self.grid_size + 1 and mingy >= 0 and maxgy < 2 * self.grid_size + 1:
inside = True
for k in range(1, z1 - z0 - 1):
mask[k, j, i] = inside
# Transform the image to the grid
transformed = transform.TransformForwardNoModel(self.spec, cs, bbox, 0, image.as_double(), mask)
grid = transformed.profile()
# Get the sums and ensure they're the same
eps = 1e-7
sum_grid = flex.sum(grid)
sum_image = flex.sum(flex.double(flex.select(image, flags=mask)))
assert abs(sum_grid - sum_image) <= eps
mask = flex.bool(flex.grid(image.all()), True)
transformed = transform.TransformForwardNoModel(self.spec, cs, bbox, 0, image.as_double(), mask)
grid = transformed.profile()
# Boost the bbox to make sure all intensity is included
x0, x1, y0, y1, z0, z1 = bbox
bbox2 = (x0 - 10, x1 + 10, y0 - 10, y1 + 10, z0 - 10, z1 + 10)
# Do the reverse transform
transformed = transform.TransformReverseNoModel(self.spec, cs, bbox2, 0, grid)
image2 = transformed.profile()
# Check the sum of pixels are the same
sum_grid = flex.sum(grid)
sum_image = flex.sum(image2)
assert abs(sum_grid - sum_image) <= eps
# Do the reverse transform
transformed = transform.TransformReverseNoModel(self.spec, cs, bbox, 0, grid)
image2 = transformed.profile()
from dials.algorithms.statistics import pearson_correlation_coefficient
cc = pearson_correlation_coefficient(image.as_1d().as_double(), image2.as_1d())
assert cc >= 0.99
# if cc < 0.99:
# print cc, bbox
# from matplotlib import pylab
# pylab.plot(image.as_numpy_array()[(z1-z0)/2,(y1-y0)/2,:])
# pylab.show()
# pylab.plot(image2.as_numpy_array()[(z1-z0)/2,(y1-y0)/2,:])
# pylab.show()
# pylab.plot((image.as_double()-image2).as_numpy_array()[(z1-z0)/2,(y1-y0)/2,:])
# pylab.show()
# Test passed
print "OK"
#pylab.imshow(scale_data.as_numpy_array(), vmin=0, vmax=2, interpolation='none')
#pylab.colorbar()
#pylab.savefig("scale_%d.png" % frame)
#pylab.clf()
##pylab.show()
#exit(0)
#pylab.hist(scale_data.as_1d().select(scale_mask.as_1d()).as_numpy_array(),
# bins=100)
#pylab.show()
sd1 = scale_data.as_1d()
sm1 = scale_mask.as_1d()
scale_min = flex.min(sd1.select(sm1))
scale_max = flex.max(sd1.select(sm1))
scale_avr = flex.sum(sd1.select(sm1)) / sm1.count(True)
background = model_data * scale_data
reflections['shoebox'].select(indices).apply_pixel_data(
data.as_double(),
background,
raw_mask,
frame,
1)
subset = reflections.select(indices3)
if len(subset) > 0:
subset.compute_summed_intensity()
subset.compute_centroid(experiments)
reflections.set_selected(indices3, subset)
# (3,3),
# 6,3,0,2)
#new_mask = flex.bool(mask.accessor())
#threshold(data, mask, new_mask)
#mask = mask & (~new_mask)
import cPickle as pickle
pickle.dump((data, mask), open("first_image.pickle", "w"))
exit(0)
m = (mask == True).as_1d().as_int()
x = data.as_double() * m.as_double()
sum_background += x
sum_sq_background += x * x
count += m
average = flex.sum(sum_background) / flex.sum(count)
print "Image %d: selected %d reflections, avr=%f" % (
frame,
len(subset),
average)
# from matplotlib import pylab
# pylab.imshow((count > 0).as_numpy_array())
# pylab.show()
average = flex.double(len(sum_background))
variance = flex.double(len(sum_background))
count_mask = count > 1
indices = flex.size_t(range(len(mask))).select(count_mask.as_1d())
from matplotlib import pylab