def __init__(self, with_special_position_pivot):
self.with_special_position_pivot = with_special_position_pivot
self.uc = uctbx.unit_cell((1, 2, 3))
self.sg = sgtbx.space_group("P 6")
self.c0 = xray.scatterer("C0", site=(1e-5, 0., 0.1))
self.site_symm = sgtbx.site_symmetry(self.uc, self.sg, self.c0.site)
self.c0.flags.set_grad_site(True)
self.c1 = xray.scatterer("C1", site=(0.09, 0.11, 0.))
self.c1.flags.set_grad_site(True)
self.h = xray.scatterer("H")
self.reparam = constraints.ext.reparametrisation(self.uc)
if with_special_position_pivot:
x0 = self.reparam.add(constraints.special_position_site_parameter,
self.site_symm, self.c0)
else:
x0 = self.reparam.add(constraints.independent_site_parameter,
self.c0)
x1 = self.reparam.add(constraints.independent_site_parameter, self.c1)
l = self.reparam.add(constraints.independent_scalar_parameter,
self.bond_length,
variable=False)
x_h = self.reparam.add(constraints.terminal_linear_ch_site,
pivot=x0,
pivot_neighbour=x1,
length=l,
hydrogen=self.h)
self.reparam.finalise()
self.x0, self.x1, self.x_h, self.l = [
x.index for x in (x0, x1, x_h, l)
]
if self.with_special_position_pivot:
self.y0 = x0.independent_params.index
def __init__(self, with_special_position_pivot):
self.with_special_position_pivot = with_special_position_pivot
self.uc = uctbx.unit_cell((1, 2, 3))
self.sg = sgtbx.space_group("P 6")
self.c0 = xray.scatterer("C0", site=(1e-5, 0., 0.1))
self.site_symm = sgtbx.site_symmetry(self.uc, self.sg, self.c0.site)
self.c0.flags.set_grad_site(True)
self.c1 = xray.scatterer("C1", site=(0.09, 0.11, 0.))
self.c1.flags.set_grad_site(True)
self.h = xray.scatterer("H")
self.reparam = constraints.ext.reparametrisation(self.uc)
if with_special_position_pivot:
x0 = self.reparam.add(constraints.special_position_site_parameter,
self.site_symm, self.c0)
else:
x0 = self.reparam.add(constraints.independent_site_parameter, self.c0)
x1 = self.reparam.add(constraints.independent_site_parameter, self.c1)
l = self.reparam.add(constraints.independent_scalar_parameter,
self.bond_length, variable=False)
x_h = self.reparam.add(constraints.terminal_linear_ch_site,
pivot=x0,
pivot_neighbour=x1,
length=l,
hydrogen=self.h)
self.reparam.finalise()
self.x0, self.x1, self.x_h, self.l = [ x.index for x in (x0, x1, x_h, l) ]
if self.with_special_position_pivot:
self.y0 = x0.independent_params.index
def __init__(self):
cs = crystal.symmetry(uctbx.unit_cell((1, 1, 2, 90, 90, 120)), 'R3')
sgi = sgtbx.space_group_info('R3(y+z, x+z, x+y+z)')
op = sgi.change_of_basis_op_to_reference_setting()
self.cs = cs.change_basis(op.inverse())
self.sc = xray.scatterer('C',
site=(3/8,)*3,
u=(1/2, 1/4, 3/4, -3/2, -3/4, -1/4))
self.sc.flags.set_grad_u_aniso(True)
self.site_symm = sgtbx.site_symmetry(self.cs.unit_cell(),
self.cs.space_group(),
self.sc.site)
self.reparam = constraints.ext.reparametrisation(self.cs.unit_cell())
u = self.reparam.add(constraints.special_position_u_star_parameter,
self.site_symm, self.sc)
self.reparam.finalise()
self.u, self.v = u.index, u.independent_params.index
def __init__(self):
cs = crystal.symmetry(uctbx.unit_cell((1, 1, 2, 90, 90, 120)), 'R3')
sgi = sgtbx.space_group_info('R3(y+z, x+z, x+y+z)')
op = sgi.change_of_basis_op_to_reference_setting()
self.cs = cs.change_basis(op.inverse())
self.sc = xray.scatterer('C',
site=(3 / 8, ) * 3,
u=(1 / 2, 1 / 4, 3 / 4, -3 / 2, -3 / 4,
-1 / 4))
self.sc.flags.set_grad_u_aniso(True)
self.site_symm = sgtbx.site_symmetry(self.cs.unit_cell(),
self.cs.space_group(),
self.sc.site)
self.reparam = constraints.ext.reparametrisation(self.cs.unit_cell())
u = self.reparam.add(constraints.special_position_u_star_parameter,
self.site_symm, self.sc)
self.reparam.finalise()
self.u, self.v = u.index, u.independent_params.index
def apply_symmetry(self,
unit_cell,
space_group,
min_distance_sym_equiv=0.5,
u_star_tolerance=0,
assert_min_distance_sym_equiv=True):
site_symmetry = sgtbx.site_symmetry(unit_cell, space_group, self.site,
min_distance_sym_equiv,
assert_min_distance_sym_equiv)
self.site = site_symmetry.exact_site()
self._multiplicity = site_symmetry.multiplicity()
self.update_weight(space_group.order_z())
if (self.anisotropic_flag):
if (u_star_tolerance > 0.):
assert site_symmetry.is_compatible_u_star(
self.u_star, u_star_tolerance)
self.u_star = site_symmetry.average_u_star(self.u_star)
return site_symmetry
def apply_symmetry(self, unit_cell,
space_group,
min_distance_sym_equiv=0.5,
u_star_tolerance=0,
assert_min_distance_sym_equiv=True):
site_symmetry = sgtbx.site_symmetry(
unit_cell,
space_group,
self.site,
min_distance_sym_equiv,
assert_min_distance_sym_equiv)
self.site = site_symmetry.exact_site()
self._multiplicity = site_symmetry.multiplicity()
self.update_weight(space_group.order_z())
if (self.anisotropic_flag):
if (u_star_tolerance > 0.):
assert site_symmetry.is_compatible_u_star(self.u_star,u_star_tolerance)
self.u_star = site_symmetry.average_u_star(self.u_star)
return site_symmetry
def build_water_hydrogens_from_map2(model, fmodel, params=None, log=None):
self = model
xs = self.xray_structure
unit_cell = xs.unit_cell()
scatterers = xs.scatterers()
hier = model.pdb_hierarchy()
mmtbx.utils.assert_model_is_consistent(model)
#assert_water_is_consistent(model)
model.reprocess_pdb_hierarchy_inefficient()
assert_water_is_consistent(model)
if log is None:
log = model.log
if params is None:
params = all_master_params().extract()
max_od_dist = params.max_od_dist
min_od_dist = params.min_od_dist
assert min_od_dist >0.5
assert max_od_dist >min_od_dist and max_od_dist<1.5
keep_max = params.map_next_to_model.max_model_peak_dist
keep_min = params.map_next_to_model.min_model_peak_dist
params.map_next_to_model.max_model_peak_dist = max_od_dist * 1.8
params.map_next_to_model.min_model_peak_dist = min_od_dist
params.peak_search.min_cross_distance = params.min_od_dist # 0.5
if params.peak_search.min_cross_distance < 0.7:
params.peak_search.min_cross_distance = 0.7
#if params.map_next_to_model.min_model_peak_dist < 0.7:
# params.map_next_to_model.min_model_peak_dist = 0.7
params.map_next_to_model.use_hydrogens = True
params.map_next_to_model.min_peak_peak_dist = min_od_dist
#if params.map_next_to_model.min_peak_peak_dist <0.7:
# params.map_next_to_model.min_peak_peak_dist = 0.7
max_dod_angle = params.max_dod_angle
min_dod_angle = params.min_dod_angle
assert max_dod_angle<180 and min_dod_angle>30 and max_dod_angle>min_dod_angle
peaks = find_hydrogen_peaks(
fmodel = fmodel,
pdb_atoms = model.pdb_atoms,
params = params,
log = log)
if peaks is None:
return model
params.map_next_to_model.use_hydrogens = False
hs = peaks.heights
params.map_next_to_model.max_model_peak_dist = keep_max
params.map_next_to_model.min_model_peak_dist = keep_min
sol_O = model.solvent_selection().set_selected(
model.xray_structure.hd_selection(), False)
print >>log, "Number of solvent molecules: ", sol_O.count(True)
sol_sel = model.solvent_selection()
hd_sel = sol_sel & model.xray_structure.hd_selection()
print>>log, "Number of water hydrogens: ", hd_sel.count(True)
# pks = distances_to_peaks(xs, peaks.sites, hs, max_od_dist, use_selection=sol_O)
obsmap = obs_map(fmodel, map_type=params.secondary_map_type)
# filtered_peaks = map_peak_filter(peaks.sites, obsmap)
#print>>log, "Number of filtered peaks: ", len(filtered_peaks)
# pkss = distances_to_peaks(xs, peaks.sites, hs, max_od_dist*1.7, use_selection=sol_O)
#pkss = distances_to_peaks(xs, filtered_peaks, hs, max_od_dist*1.7,
# use_selection=sol_O)
cutoff2 = params.secondary_map_cutoff
assert cutoff2 > 0. and cutoff2 < 100.
pkss = make_peak_dict(peaks, sol_O, obsmap, cutoff2)
npeaks=0
for pk in pkss.values():
npeaks = npeaks + len(pk)
print>>log, "Peaks to consider: ", npeaks
water_rgs = self.extract_water_residue_groups()
water_rgs.reverse()
element='D'
next_to_i_seqs = []
for rg in water_rgs:
if (rg.atom_groups_size() != 1):
raise RuntimeError(
"Not implemented: cannot handle water with alt. conf.")
ag = rg.only_atom_group()
atoms = ag.atoms()
h_atoms = []
o_atom=None
if atoms.size()>0:
for atom in atoms:
if (atom.element.strip() == "O"):
o_atom = atom
else:
h_atoms.append(atom)
else:
assert False
o_i = o_atom.i_seq
if pkss.has_key(o_i) :
o_site = scatterers[o_i].site
site_symmetry = sgtbx.site_symmetry(xs.unit_cell(), xs.space_group(),
o_site, 0.5, True)
if(site_symmetry.n_matrices() != 1):
special = True
continue # TODO: handle this situation
o_u = scatterers[o_i].u_iso_or_equiv(unit_cell)
h_sites = pkss[o_i]
# print_atom(sys.stdout, o_atom)
val = obsmap.eight_point_interpolation(o_site)
if val>cutoff2:
h_sites.append((0., o_site))
for hatom in h_atoms:
hsite = scatterers[hatom.i_seq].site
doh = unit_cell.distance(hsite, o_site)
assert doh >0.5 and doh < 1.45, "%f\n%s"%(doh,atom_as_str(hatom))
val = obsmap.eight_point_interpolation(hsite)
if val>cutoff2:
h_sites.append((0., hsite))
dod = match_dod(unit_cell, h_sites, min_od=params.min_od_dist,
max_od=params.max_od_dist, min_dod_angle=params.min_dod_angle,
max_dod_angle=params.max_dod_angle)
if dod is None:
od= match_od(unit_cell, h_sites, min_od=params.min_od_dist,
max_od=params.max_od_dist)
if od is not None:
scatterers[o_i].site = od[0]
o_atom.xyz = unit_cell.orthogonalize(od[0])
h=od[1]
if len(h_atoms)>0:
hatom = h_atoms.pop()
hatom.xyz = unit_cell.orthogonalize(h)
hatom.occ = 1
hatom.b = cctbx.adptbx.u_as_b(o_u)
hatom.name = "D1"
h_i = hatom.i_seq
scatterers[h_i].label = "D1"
scatterers[h_i].site = h
scatterers[h_i].occupancy = 1
scatterers[h_i].u_iso = o_u
if len(h_atoms)>0:
# mark for deletion
hatom = h_atoms.pop()
hatom.name = "D2"
hatom.occ = 0.
h_i = hatom.i_seq
scatterers[h_i].label="D2"
scatterers[h_i].occupancy=0.
else:
insert_atom_into_model(xs, atom=o_atom, atom_name="D1",
site_frac=h, occupancy=1, uiso=o_u, element='D')
next_to_i_seqs.append(o_atom.i_seq)
else:
scatterers[o_i].site = dod[1]
o_atom.xyz = unit_cell.orthogonalize(dod[1])
ii=1
for h in (dod[0],dod[2]):
name = "D"+str(ii)
ii=ii+1
if len(h_atoms)>0:
hatom = h_atoms.pop()
hatom.xyz = unit_cell.orthogonalize(h)
hatom.occ = 1
hatom.b = cctbx.adptbx.u_as_b(o_u)
hatom.name = name
h_i = hatom.i_seq
scatterers[h_i].label = name
scatterers[h_i].site = h
scatterers[h_i].occupancy = 1
scatterers[h_i].u_iso = o_u
else:
insert_atom_into_model(xs, atom=o_atom, atom_name=name,
site_frac=h, occupancy=1, uiso=o_u, element='D')
next_to_i_seqs.append(o_atom.i_seq)
if( model.refinement_flags is not None and len(next_to_i_seqs)!=0):
# TODO: adp_group=True according to params.dod_and_od_group_adp
model.refinement_flags.add(
next_to_i_seqs=next_to_i_seqs, # [i_seq], # ,
sites_individual = True,
s_occupancies = False,
adp_individual_iso=True)
print >> log, "Number of H added:", len(next_to_i_seqs)
# print "DEBUG! ", dir(model.refinement_flags) #.size()
# print "DEBUG! ", dir(model.refinement_flags.sites_individual) #.size()
#print "DEBUG! ", model.refinement_flags.sites_individual.size()
model.reprocess_pdb_hierarchy_inefficient()
if model.refinement_flags.sites_individual is not None:
np = model.refinement_flags.sites_individual.size()
assert np == model.xray_structure.scatterers().size()
assert model.refinement_flags.sites_individual.count(True) == np
mmtbx.utils.assert_model_is_consistent(model)
sol_sel = model.solvent_selection()
hd_sel = sol_sel & model.xray_structure.hd_selection()
assert hd_sel.count(True) >= len(next_to_i_seqs)
assert_water_is_consistent(model)
if False:
model.idealize_h()
model.pdb_hierarchy(sync_with_xray_structure=True)
mmtbx.utils.assert_model_is_consistent(model)
assert_water_is_consistent(model)
return model
def fit_water(water_and_peaks, xray_structure, params, log):
scatterers = xray_structure.scatterers()
uc = xray_structure.unit_cell()
site_frac_o = scatterers[water_and_peaks.i_seq_o ].site
site_frac_h1 = scatterers[water_and_peaks.i_seq_h1].site
site_frac_h2 = scatterers[water_and_peaks.i_seq_h2].site
peak_sites_frac = water_and_peaks.peaks_sites_frac
if(len(peak_sites_frac) == 1):
sc1 = scatterers[water_and_peaks.i_seq_h1]
sc2 = scatterers[water_and_peaks.i_seq_h2]
if(sc1.occupancy < sc2.occupancy and sc2.occupancy > 0.3):
site_frac_h2 = sc2.site
elif(sc1.occupancy > sc2.occupancy and sc1.occupancy > 0.3):
site_frac_h2 = scatterers[water_and_peaks.i_seq_h1].site
else:
site_frac_h2 = peak_sites_frac[0]
result = mmtbx.utils.fit_hoh(
site_frac_o = site_frac_o,
site_frac_h1 = site_frac_h1,
site_frac_h2 = site_frac_h2,
site_frac_peak1 = peak_sites_frac[0],
site_frac_peak2 = site_frac_h2,
angular_shift = params.angular_step,
unit_cell = uc)
d_best = result.dist_best()
o = uc.fractionalize(result.site_cart_o_fitted)
h1 = uc.fractionalize(result.site_cart_h1_fitted)
h2 = uc.fractionalize(result.site_cart_h2_fitted)
else:
peak_pairs = []
for i, s1 in enumerate(peak_sites_frac):
for j, s2 in enumerate(peak_sites_frac):
if i < j:
peak_pairs.append([s1,s2])
d_best = 999.
for pair in peak_pairs:
result = mmtbx.utils.fit_hoh(
site_frac_o = site_frac_o,
site_frac_h1 = site_frac_h1,
site_frac_h2 = site_frac_h2,
site_frac_peak1 = pair[0],
site_frac_peak2 = pair[1],
angular_shift = params.angular_step,
unit_cell = uc)
if(result.dist_best() < d_best):
d_best = result.dist_best()
o = uc.fractionalize(result.site_cart_o_fitted)
h1 = uc.fractionalize(result.site_cart_h1_fitted)
h2 = uc.fractionalize(result.site_cart_h2_fitted)
if(d_best < 1.0):
# do not move HOH located on special position
skip = False
sites = [scatterers[water_and_peaks.i_seq_o ].site,
scatterers[water_and_peaks.i_seq_h1].site,
scatterers[water_and_peaks.i_seq_h2].site]
for site in sites:
site_symmetry = sgtbx.site_symmetry(
xray_structure.unit_cell(),
xray_structure.space_group(),
site,
0.5,
True)
if(site_symmetry.n_matrices() != 1):
skip = True
break
#
if(not skip):
scatterers[water_and_peaks.i_seq_o ].site = o
scatterers[water_and_peaks.i_seq_h1].site = h1
scatterers[water_and_peaks.i_seq_h2].site = h2
print >> log, "%6.3f"%d_best
def build_water_hydrogens_from_map2(model, fmodel, params=None, log=None):
# self = model
xs = model.get_xray_structure()
unit_cell = xs.unit_cell()
scatterers = xs.scatterers()
hier = model.get_hierarchy()
mmtbx.utils.assert_model_is_consistent(model)
#assert_water_is_consistent(model)
model.reprocess_pdb_hierarchy_inefficient()
assert_water_is_consistent(model)
if log is None:
log = model.log
if params is None:
params = all_master_params().extract()
max_od_dist = params.max_od_dist
min_od_dist = params.min_od_dist
assert min_od_dist > 0.5
assert max_od_dist > min_od_dist and max_od_dist < 1.5
keep_max = params.map_next_to_model.max_model_peak_dist
keep_min = params.map_next_to_model.min_model_peak_dist
params.map_next_to_model.max_model_peak_dist = max_od_dist * 1.8
params.map_next_to_model.min_model_peak_dist = min_od_dist
params.peak_search.min_cross_distance = params.min_od_dist # 0.5
if params.peak_search.min_cross_distance < 0.7:
params.peak_search.min_cross_distance = 0.7
#if params.map_next_to_model.min_model_peak_dist < 0.7:
# params.map_next_to_model.min_model_peak_dist = 0.7
params.map_next_to_model.use_hydrogens = True
params.map_next_to_model.min_peak_peak_dist = min_od_dist
#if params.map_next_to_model.min_peak_peak_dist <0.7:
# params.map_next_to_model.min_peak_peak_dist = 0.7
max_dod_angle = params.max_dod_angle
min_dod_angle = params.min_dod_angle
assert max_dod_angle < 180 and min_dod_angle > 30 and max_dod_angle > min_dod_angle
peaks = find_hydrogen_peaks(fmodel=fmodel,
pdb_atoms=model.get_hierarchy().atoms(),
params=params,
log=log)
if peaks is None:
return model
params.map_next_to_model.use_hydrogens = False
hs = peaks.heights
params.map_next_to_model.max_model_peak_dist = keep_max
params.map_next_to_model.min_model_peak_dist = keep_min
sol_O = model.solvent_selection().set_selected(model.get_hd_selection(),
False)
print("Number of solvent molecules: ", sol_O.count(True), file=log)
sol_sel = model.solvent_selection()
hd_sel = sol_sel & model.get_hd_selection()
print("Number of water hydrogens: ", hd_sel.count(True), file=log)
# pks = distances_to_peaks(xs, peaks.sites, hs, max_od_dist, use_selection=sol_O)
obsmap = obs_map(fmodel, map_type=params.secondary_map_type)
# filtered_peaks = map_peak_filter(peaks.sites, obsmap)
#print>>log, "Number of filtered peaks: ", len(filtered_peaks)
# pkss = distances_to_peaks(xs, peaks.sites, hs, max_od_dist*1.7, use_selection=sol_O)
#pkss = distances_to_peaks(xs, filtered_peaks, hs, max_od_dist*1.7,
# use_selection=sol_O)
cutoff2 = params.secondary_map_cutoff
assert cutoff2 > 0. and cutoff2 < 100.
pkss = make_peak_dict(peaks, sol_O, obsmap, cutoff2)
npeaks = 0
for pk in pkss.values():
npeaks = npeaks + len(pk)
print("Peaks to consider: ", npeaks, file=log)
water_rgs = model.extract_water_residue_groups()
water_rgs.reverse()
element = 'D'
next_to_i_seqs = []
for rg in water_rgs:
if (rg.atom_groups_size() != 1):
raise RuntimeError(
"Not implemented: cannot handle water with alt. conf.")
ag = rg.only_atom_group()
atoms = ag.atoms()
h_atoms = []
o_atom = None
if atoms.size() > 0:
for atom in atoms:
if (atom.element.strip() == "O"):
o_atom = atom
else:
h_atoms.append(atom)
else:
assert False
o_i = o_atom.i_seq
if o_i in pkss:
o_site = scatterers[o_i].site
site_symmetry = sgtbx.site_symmetry(xs.unit_cell(),
xs.space_group(), o_site, 0.5,
True)
if (site_symmetry.n_matrices() != 1):
special = True
continue # TODO: handle this situation
o_u = scatterers[o_i].u_iso_or_equiv(unit_cell)
h_sites = pkss[o_i]
# print_atom(sys.stdout, o_atom)
val = obsmap.eight_point_interpolation(o_site)
if val > cutoff2:
h_sites.append((0., o_site))
for hatom in h_atoms:
hsite = scatterers[hatom.i_seq].site
doh = unit_cell.distance(hsite, o_site)
assert doh > 0.5 and doh < 1.45, "%f\n%s" % (
doh, atom_as_str(hatom))
val = obsmap.eight_point_interpolation(hsite)
if val > cutoff2:
h_sites.append((0., hsite))
dod = match_dod(unit_cell,
h_sites,
min_od=params.min_od_dist,
max_od=params.max_od_dist,
min_dod_angle=params.min_dod_angle,
max_dod_angle=params.max_dod_angle)
if dod is None:
od = match_od(unit_cell,
h_sites,
min_od=params.min_od_dist,
max_od=params.max_od_dist)
if od is not None:
scatterers[o_i].site = od[0]
o_atom.xyz = unit_cell.orthogonalize(od[0])
h = od[1]
if len(h_atoms) > 0:
hatom = h_atoms.pop()
hatom.xyz = unit_cell.orthogonalize(h)
hatom.occ = 1
hatom.b = cctbx.adptbx.u_as_b(o_u)
hatom.name = "D1"
h_i = hatom.i_seq
scatterers[h_i].label = "D1"
scatterers[h_i].site = h
scatterers[h_i].occupancy = 1
scatterers[h_i].u_iso = o_u
if len(h_atoms) > 0:
# mark for deletion
hatom = h_atoms.pop()
hatom.name = "D2"
hatom.occ = 0.
h_i = hatom.i_seq
scatterers[h_i].label = "D2"
scatterers[h_i].occupancy = 0.
else:
insert_atom_into_model(xs,
atom=o_atom,
atom_name="D1",
site_frac=h,
occupancy=1,
uiso=o_u,
element='D')
next_to_i_seqs.append(o_atom.i_seq)
else:
scatterers[o_i].site = dod[1]
o_atom.xyz = unit_cell.orthogonalize(dod[1])
ii = 1
for h in (dod[0], dod[2]):
name = "D" + str(ii)
ii = ii + 1
if len(h_atoms) > 0:
hatom = h_atoms.pop()
hatom.xyz = unit_cell.orthogonalize(h)
hatom.occ = 1
hatom.b = cctbx.adptbx.u_as_b(o_u)
hatom.name = name
h_i = hatom.i_seq
scatterers[h_i].label = name
scatterers[h_i].site = h
scatterers[h_i].occupancy = 1
scatterers[h_i].u_iso = o_u
else:
insert_atom_into_model(xs,
atom=o_atom,
atom_name=name,
site_frac=h,
occupancy=1,
uiso=o_u,
element='D')
next_to_i_seqs.append(o_atom.i_seq)
if (model.refinement_flags is not None and len(next_to_i_seqs) != 0):
# TODO: adp_group=True according to params.dod_and_od_group_adp
model.refinement_flags.add(
next_to_i_seqs=next_to_i_seqs, # [i_seq], # ,
sites_individual=True,
s_occupancies=False,
adp_individual_iso=True)
print("Number of H added:", len(next_to_i_seqs), file=log)
# print "DEBUG! ", dir(model.refinement_flags) #.size()
# print "DEBUG! ", dir(model.refinement_flags.sites_individual) #.size()
#print "DEBUG! ", model.refinement_flags.sites_individual.size()
model.reprocess_pdb_hierarchy_inefficient()
if model.refinement_flags.sites_individual is not None:
np = model.refinement_flags.sites_individual.size()
assert np == model.get_number_of_atoms()
assert model.refinement_flags.sites_individual.count(True) == np
mmtbx.utils.assert_model_is_consistent(model)
sol_sel = model.solvent_selection()
hd_sel = sol_sel & model.get_hd_selection()
assert hd_sel.count(True) >= len(next_to_i_seqs)
assert_water_is_consistent(model)
if False:
model.idealize_h_minimization()
model.get_hierarchy()
mmtbx.utils.assert_model_is_consistent(model)
assert_water_is_consistent(model)
return model
def fit_water(water_and_peaks, xray_structure, params, log):
scatterers = xray_structure.scatterers()
uc = xray_structure.unit_cell()
site_frac_o = scatterers[water_and_peaks.i_seq_o].site
site_frac_h1 = scatterers[water_and_peaks.i_seq_h1].site
site_frac_h2 = scatterers[water_and_peaks.i_seq_h2].site
peak_sites_frac = water_and_peaks.peaks_sites_frac
if (len(peak_sites_frac) == 1):
sc1 = scatterers[water_and_peaks.i_seq_h1]
sc2 = scatterers[water_and_peaks.i_seq_h2]
if (sc1.occupancy < sc2.occupancy and sc2.occupancy > 0.3):
site_frac_h2 = sc2.site
elif (sc1.occupancy > sc2.occupancy and sc1.occupancy > 0.3):
site_frac_h2 = scatterers[water_and_peaks.i_seq_h1].site
else:
site_frac_h2 = peak_sites_frac[0]
result = mmtbx.utils.fit_hoh(site_frac_o=site_frac_o,
site_frac_h1=site_frac_h1,
site_frac_h2=site_frac_h2,
site_frac_peak1=peak_sites_frac[0],
site_frac_peak2=site_frac_h2,
angular_shift=params.angular_step,
unit_cell=uc)
d_best = result.dist_best()
o = uc.fractionalize(result.site_cart_o_fitted)
h1 = uc.fractionalize(result.site_cart_h1_fitted)
h2 = uc.fractionalize(result.site_cart_h2_fitted)
else:
peak_pairs = []
for i, s1 in enumerate(peak_sites_frac):
for j, s2 in enumerate(peak_sites_frac):
if i < j:
peak_pairs.append([s1, s2])
d_best = 999.
for pair in peak_pairs:
result = mmtbx.utils.fit_hoh(site_frac_o=site_frac_o,
site_frac_h1=site_frac_h1,
site_frac_h2=site_frac_h2,
site_frac_peak1=pair[0],
site_frac_peak2=pair[1],
angular_shift=params.angular_step,
unit_cell=uc)
if (result.dist_best() < d_best):
d_best = result.dist_best()
o = uc.fractionalize(result.site_cart_o_fitted)
h1 = uc.fractionalize(result.site_cart_h1_fitted)
h2 = uc.fractionalize(result.site_cart_h2_fitted)
if (d_best < 1.0):
# do not move HOH located on special position
skip = False
sites = [
scatterers[water_and_peaks.i_seq_o].site,
scatterers[water_and_peaks.i_seq_h1].site,
scatterers[water_and_peaks.i_seq_h2].site
]
for site in sites:
site_symmetry = sgtbx.site_symmetry(xray_structure.unit_cell(),
xray_structure.space_group(),
site, 0.5, True)
if (site_symmetry.n_matrices() != 1):
skip = True
break
#
if (not skip):
scatterers[water_and_peaks.i_seq_o].site = o
scatterers[water_and_peaks.i_seq_h1].site = h1
scatterers[water_and_peaks.i_seq_h2].site = h2
print("%6.3f" % d_best, file=log)
def demo():
#
# define unit cell parameters and a compatible space group
#
unit_cell = uctbx.unit_cell((10, 10, 15, 90, 90, 120))
space_group = sgtbx.space_group("-P 3 2") # Hall symbol
#
# define a site_symmetry_table with a few sites
#
site_symmetry_table = sgtbx.site_symmetry_table()
site_symmetry_table.reserve(3) # optional: optimizes memory allocation
for site_frac in [(0, 0, 0), (0.5, 0.5, 0.5), (0.25, 0.66, 0.0),
(0.75, 0.66, 0.0)]:
site_symmetry = sgtbx.site_symmetry(unit_cell=unit_cell,
space_group=space_group,
original_site=site_frac,
min_distance_sym_equiv=0.5,
assert_min_distance_sym_equiv=True)
site_symmetry_table.process(site_symmetry_ops=site_symmetry)
#
# there are two sets of indices:
# 1. "i_seq" = index into the sequence of sites as passed to
# site_symmetry.process().
# 2. The indices of the tabulated special_position_ops instances.
# site_symmetry_table.indices() establishes the relation between
# these two sets of indices:
# site_symmetry_table.indices().size() = number of sites processed
# site_symmetry_table.indices()[i_seq] = index of special_position_ops
# instance in the internal site_symmetry_table.table()
assert list(site_symmetry_table.indices()) == [1, 2, 0, 0]
#
# table entry 0 is always the general position
#
assert str(site_symmetry_table.table()[0].special_op()) == "x,y,z"
#
# all other table entries are special positions
#
assert str(site_symmetry_table.table()[1].special_op()) == "0,0,0"
assert str(site_symmetry_table.table()[2].special_op()) == "1/2,1/2,1/2"
#
# To obtain the special_position_ops for a certain i_seq:
#
for i_seq in [0, 1, 2]:
print(site_symmetry_table.get(i_seq=i_seq).special_op())
#
# Most of the time the (many) general positions don't need a
# special treatment, and it is much more convenient to loop
# only over the (few) special positions. For example, to
# define symmetry constraints for anisotropic displacement
# parameters:
#
for i_seq in site_symmetry_table.special_position_indices():
site_constraints = site_symmetry_table.get(
i_seq=i_seq).site_constraints()
adp_constraints = site_symmetry_table.get(
i_seq=i_seq).adp_constraints()
#
# See also:
# cctbx/examples/site_symmetry_constraints.py
# cctbx/examples/adp_symmetry_constraints.py
# C++ reference documentation for
# cctbx::sgtbx::site_symmetry_ops
# cctbx::sgtbx::site_symmetry
#
print("OK")
def exercise(space_group_info, redundancy_counter=0):
n_real = (12, 12, 12)
miller_max = (2, 2, 2)
gt = maptbx.grid_tags(n_real)
uc = space_group_info.any_compatible_unit_cell(volume=1000)
fl = sgtbx.search_symmetry_flags(use_space_group_symmetry=True)
gt.build(space_group_info.type(), fl)
fft = fftpack.real_to_complex_3d(n_real)
map0 = flex.double(flex.grid(fft.m_real()).set_focus(fft.n_real()), 0)
weight_map = map0.deep_copy()
map = map0.deep_copy()
ta = gt.tag_array()
order_z = space_group_info.group().order_z()
problems_expected = (redundancy_counter != 0)
for ijk in flex.nested_loop(n_real):
t = ta[ijk]
if (t < 0):
xyz = [i / n for i, n in zip(ijk, n_real)]
ss = sgtbx.site_symmetry(unit_cell=uc,
space_group=space_group_info.group(),
original_site=xyz,
min_distance_sym_equiv=1e-5)
m = space_group_info.group().multiplicity(
site=boost.rational.vector(ijk, n_real))
assert m == ss.multiplicity()
w = m / order_z
weight_map[ijk] = w
map[ijk] = w
elif (redundancy_counter != 0):
redundancy_counter -= 1
ijk_asu = n_dim_index_from_one_dim(i1d=t, sizes=n_real)
assert ta.accessor()(ijk_asu) == t
map[ijk] = map[ijk_asu]
sf_map = fft.forward(map)
del map
mi = miller.index_generator(space_group_info.type(), False,
miller_max).to_array()
assert mi.size() != 0
from_map = maptbx.structure_factors.from_map(
space_group=space_group_info.group(),
anomalous_flag=False,
miller_indices=mi,
complex_map=sf_map,
conjugate_flag=True)
sf = [iround(abs(f)) for f in from_map.data()]
if (sf != [0] * len(sf)):
assert problems_expected
return
else:
not problems_expected
#
map_p1 = map0.deep_copy()
map_sw = map0.deep_copy()
for ijk in flex.nested_loop(n_real):
t = ta[ijk]
if (t < 0):
v = random.random() * 2 - 1
map_p1[ijk] = v
map_sw[ijk] = v * weight_map[ijk]
else:
ijk_asu = n_dim_index_from_one_dim(i1d=t, sizes=n_real)
assert ta.accessor()(ijk_asu) == t
assert map_p1[ijk_asu] != 0
map_p1[ijk] = map_p1[ijk_asu]
#
# fft followed by symmetry summation in reciprocal space
sf_map_sw = fft.forward(map_sw)
del map_sw
sf_sw = maptbx.structure_factors.from_map(
space_group=space_group_info.group(),
anomalous_flag=False,
miller_indices=mi,
complex_map=sf_map_sw,
conjugate_flag=True).data()
del sf_map_sw
#
# symmetry expansion in real space (done above already) followed fft
sf_map_p1 = fft.forward(map_p1)
del map_p1
sf_p1 = maptbx.structure_factors.from_map(space_group=sgtbx.space_group(),
anomalous_flag=False,
miller_indices=mi,
complex_map=sf_map_p1,
conjugate_flag=True).data()
del sf_map_p1
#
corr = flex.linear_correlation(x=flex.abs(sf_sw), y=flex.abs(sf_p1))
assert corr.is_well_defined
assert approx_equal(corr.coefficient(), 1)
def exercise_all_wyckoff(flags, space_group_info):
""" Set-up crystal and constraints """
crystal = space_group_info.any_compatible_crystal_symmetry(volume=1000)
unit_cell = crystal.unit_cell()
wyckoffs = space_group_info.wyckoff_table()
for i in xrange(wyckoffs.size()):
wyckoff_pos = wyckoffs.position(i)
print "%s," % wyckoff_pos.letter(),
special_op = wyckoff_pos.special_op()
exact_site = eval("(%s)" % special_op, {'x': 0.1, 'y': 0.2, 'z': 0.3})
site_symmetry = sgtbx.site_symmetry(crystal.unit_cell(),
crystal.space_group(), exact_site)
u_star_constraints = site_symmetry.adp_constraints()
u_cart_constraints = site_symmetry.cartesian_adp_constraints(unit_cell)
""" Compatibility of all_params for u* and u_cart """
n = u_cart_constraints.n_independent_params()
assert n == u_star_constraints.n_independent_params()
basis = []
for i in xrange(n):
v = [0] * n
v[i] = 1
basis.append(v)
u_cart_basis = [u_cart_constraints.all_params(v) for v in basis]
u_star_basis = [u_star_constraints.all_params(v) for v in basis]
u_cart_basis_bis = [
adptbx.u_star_as_u_cart(unit_cell, u) for u in u_star_basis
]
a_work = flex.double(u_cart_basis)
u_cart_basis_echelon = row_echelon_full_pivoting(a_work=a_work,
min_abs_pivot=1e-9)
# the vector subspaces spanned respectively by u_cart_basis and
# by u_cart_basis_bis should be equal
for u in u_cart_basis_bis:
assert u_cart_basis_echelon.is_in_row_space(x=flex.double(u),
epsilon=1e-9)
""" Test the independent gradient computation """
eps = 1e-4
v0 = tuple([random.random() for i in xrange(n)])
u_cart_0 = u_cart_constraints.all_params(v0)
grad_f_wrt_independent_u_cart = []
for i in xrange(n):
v_up = list(v0)
v_up[i] += eps
v_down = list(v0)
v_down[i] -= eps
der = (f(u_cart_constraints.all_params(v_up)) -
f(u_cart_constraints.all_params(v_down))) / (2 * eps)
grad_f_wrt_independent_u_cart.append(der)
grad_f_wrt_u_cart = []
for i in xrange(6):
u_cart_up = list(u_cart_0)
u_cart_up[i] += eps
u_cart_down = list(u_cart_0)
u_cart_down[i] -= eps
der = (f(u_cart_up) - f(u_cart_down)) / (2 * eps)
grad_f_wrt_u_cart.append(der)
grad_f_wrt_independent_u_cart_1 = (
u_cart_constraints.independent_gradients(tuple(grad_f_wrt_u_cart)))
assert flex.max(
flex.abs(
flex.double(grad_f_wrt_independent_u_cart_1) -
flex.double(grad_f_wrt_independent_u_cart))) < 5 * eps**2
""" Check independent_params """
v = tuple([random.random() for i in xrange(n)])
u_cart = u_cart_constraints.all_params(v)
w = u_cart_constraints.independent_params(u_cart)
assert approx_equal(v, w, eps=1e-12)
print
def run():
#
# try these Hall symbols:
# "P 1", "P 2", "P 3", "P 3*", "P 4", "P 6", "P 2 2 3"
#
space_group = sgtbx.space_group("P 3*") # Hall symbol
#
# initialization of space group symmetry constraints
#
adp_constraints = sgtbx.tensor_rank_2_constraints(
space_group=space_group,
reciprocal_space=True)
#
# number of independent u_star parameters
#
n_indep = adp_constraints.n_independent_params()
#
# arbitrary Miller index and u_star tensor
#
h = (3,1,2)
u_star=(0.000004, 0.000004, 0.000007, 0.000002, 0.0000000, 0.0000000)
# optional: enforce symmetry at the beginning
u_star = space_group.average_u_star(u_star)
#
# pass u_indep to the minimizer
#
u_indep = adp_constraints.independent_params(all_params=u_star)
assert len(u_indep) == n_indep
#
# "expand" the independent parameters modified by the minimizer
#
u_star = adp_constraints.all_params(independent_params=u_indep)
assert len(u_star) == 6
#
# these calculations are completely independent of the symmetry
#
dwf = adptbx.debye_waller_factor_u_star(h, u_star)
gc = adptbx.debye_waller_factor_u_star_gradient_coefficients(h)
# all_gradients is an array of six values
all_gradients = [-2*math.pi**2 * dwf * c for c in gc]
assert len(all_gradients) == 6
cc = adptbx.debye_waller_factor_u_star_curvature_coefficients(h)
# all_curvatures is an array of 21 values (upper triangle of 6x6 matrix)
all_curvatures = (-2*math.pi**2)**2 * dwf * cc
assert len(all_curvatures) == 6*(6+1)//2
#
# here we apply the symmetry constraints to the gradients and curvatures
#
# g_indep is an array of n_indep values
g_indep = adp_constraints.independent_gradients(
all_gradients=all_gradients)
assert len(g_indep) == n_indep
# c_indep is an array of n_indep*(n_indep+1)/2 values (upper triangle)
c_indep = adp_constraints.independent_curvatures(
all_curvatures=all_curvatures)
assert len(c_indep) == n_indep*(n_indep+1)//2
# feed g_indep and c_indep to the minimizer
#
# initialization of site symmetry constraints
# (for sites on special positions)
#
unit_cell = uctbx.unit_cell((12,12,15,90,90,120))
space_group = sgtbx.space_group_info("P 6").group()
site_symmetry = sgtbx.site_symmetry(
unit_cell=unit_cell,
space_group=space_group,
original_site=(1/3.,2/3.,0), # site on 3-fold axis
min_distance_sym_equiv=0.5)
assert len(site_symmetry.matrices()) == 3
adp_constraints = site_symmetry.adp_constraints()
# use adp_constraints as before
print "OK"
def demo():
#
# define unit cell parameters and a compatible space group
#
unit_cell = uctbx.unit_cell((10,10,15,90,90,120))
space_group = sgtbx.space_group("-P 3 2") # Hall symbol
#
# define a site_symmetry_table with a few sites
#
site_symmetry_table = sgtbx.site_symmetry_table()
site_symmetry_table.reserve(3) # optional: optimizes memory allocation
for site_frac in [(0,0,0), (0.5,0.5,0.5), (0.25,0.66,0.0), (0.75,0.66,0.0)]:
site_symmetry = sgtbx.site_symmetry(
unit_cell=unit_cell,
space_group=space_group,
original_site=site_frac,
min_distance_sym_equiv=0.5,
assert_min_distance_sym_equiv=True)
site_symmetry_table.process(site_symmetry_ops=site_symmetry)
#
# there are two sets of indices:
# 1. "i_seq" = index into the sequence of sites as passed to
# site_symmetry.process().
# 2. The indices of the tabulated special_position_ops instances.
# site_symmetry_table.indices() establishes the relation between
# these two sets of indices:
# site_symmetry_table.indices().size() = number of sites processed
# site_symmetry_table.indices()[i_seq] = index of special_position_ops
# instance in the internal site_symmetry_table.table()
assert list(site_symmetry_table.indices()) == [1, 2, 0, 0]
#
# table entry 0 is always the general position
#
assert str(site_symmetry_table.table()[0].special_op()) == "x,y,z"
#
# all other table entries are special positions
#
assert str(site_symmetry_table.table()[1].special_op()) == "0,0,0"
assert str(site_symmetry_table.table()[2].special_op()) == "1/2,1/2,1/2"
#
# To obtain the special_position_ops for a certain i_seq:
#
for i_seq in [0,1,2]:
print site_symmetry_table.get(i_seq=i_seq).special_op()
#
# Most of the time the (many) general positions don't need a
# special treatment, and it is much more convenient to loop
# only over the (few) special positions. For example, to
# define symmetry constraints for anisotropic displacement
# parameters:
#
for i_seq in site_symmetry_table.special_position_indices():
site_constraints = site_symmetry_table.get(i_seq=i_seq).site_constraints()
adp_constraints = site_symmetry_table.get(i_seq=i_seq).adp_constraints()
#
# See also:
# cctbx/examples/site_symmetry_constraints.py
# cctbx/examples/adp_symmetry_constraints.py
# C++ reference documentation for
# cctbx::sgtbx::site_symmetry_ops
# cctbx::sgtbx::site_symmetry
#
print "OK"
def exercise_all_wyckoff(flags, space_group_info):
""" Set-up crystal and constraints """
crystal = space_group_info.any_compatible_crystal_symmetry(volume=1000)
unit_cell = crystal.unit_cell()
wyckoffs = space_group_info.wyckoff_table()
for i in xrange(wyckoffs.size()):
wyckoff_pos = wyckoffs.position(i)
print "%s," % wyckoff_pos.letter(),
special_op = wyckoff_pos.special_op()
exact_site = eval("(%s)" % special_op, {"x": 0.1, "y": 0.2, "z": 0.3})
site_symmetry = sgtbx.site_symmetry(crystal.unit_cell(), crystal.space_group(), exact_site)
u_star_constraints = site_symmetry.adp_constraints()
u_cart_constraints = site_symmetry.cartesian_adp_constraints(unit_cell)
""" Compatibility of all_params for u* and u_cart """
n = u_cart_constraints.n_independent_params()
assert n == u_star_constraints.n_independent_params()
basis = []
for i in xrange(n):
v = [0] * n
v[i] = 1
basis.append(v)
u_cart_basis = [u_cart_constraints.all_params(v) for v in basis]
u_star_basis = [u_star_constraints.all_params(v) for v in basis]
u_cart_basis_bis = [adptbx.u_star_as_u_cart(unit_cell, u) for u in u_star_basis]
a_work = flex.double(u_cart_basis)
u_cart_basis_echelon = row_echelon_full_pivoting(a_work=a_work, min_abs_pivot=1e-9)
# the vector subspaces spanned respectively by u_cart_basis and
# by u_cart_basis_bis should be equal
for u in u_cart_basis_bis:
assert u_cart_basis_echelon.is_in_row_space(x=flex.double(u), epsilon=1e-9)
""" Test the independent gradient computation """
eps = 1e-4
v0 = tuple([random.random() for i in xrange(n)])
u_cart_0 = u_cart_constraints.all_params(v0)
grad_f_wrt_independent_u_cart = []
for i in xrange(n):
v_up = list(v0)
v_up[i] += eps
v_down = list(v0)
v_down[i] -= eps
der = (f(u_cart_constraints.all_params(v_up)) - f(u_cart_constraints.all_params(v_down))) / (2 * eps)
grad_f_wrt_independent_u_cart.append(der)
grad_f_wrt_u_cart = []
for i in xrange(6):
u_cart_up = list(u_cart_0)
u_cart_up[i] += eps
u_cart_down = list(u_cart_0)
u_cart_down[i] -= eps
der = (f(u_cart_up) - f(u_cart_down)) / (2 * eps)
grad_f_wrt_u_cart.append(der)
grad_f_wrt_independent_u_cart_1 = u_cart_constraints.independent_gradients(tuple(grad_f_wrt_u_cart))
assert (
flex.max(
flex.abs(flex.double(grad_f_wrt_independent_u_cart_1) - flex.double(grad_f_wrt_independent_u_cart))
)
< 5 * eps ** 2
)
""" Check independent_params """
v = tuple([random.random() for i in xrange(n)])
u_cart = u_cart_constraints.all_params(v)
w = u_cart_constraints.independent_params(u_cart)
assert approx_equal(v, w, eps=1e-12)
print
def exercise(space_group_info, redundancy_counter=0):
n_real = (12,12,12)
miller_max = (2,2,2)
gt = maptbx.grid_tags(n_real)
uc = space_group_info.any_compatible_unit_cell(volume=1000)
fl = sgtbx.search_symmetry_flags(use_space_group_symmetry=True)
gt.build(space_group_info.type(), fl)
fft = fftpack.real_to_complex_3d(n_real)
map0 = flex.double(flex.grid(fft.m_real()).set_focus(fft.n_real()), 0)
weight_map = map0.deep_copy()
map = map0.deep_copy()
ta = gt.tag_array()
order_z = space_group_info.group().order_z()
problems_expected = (redundancy_counter != 0)
for ijk in flex.nested_loop(n_real):
t = ta[ijk]
if (t < 0):
xyz = [i/n for i,n in zip(ijk, n_real)]
ss = sgtbx.site_symmetry(
unit_cell=uc,
space_group=space_group_info.group(),
original_site=xyz,
min_distance_sym_equiv=1e-5)
m = space_group_info.group().multiplicity(
site=boost.rational.vector(ijk, n_real))
assert m == ss.multiplicity()
w = m / order_z
weight_map[ijk] = w
map[ijk] = w
elif (redundancy_counter != 0):
redundancy_counter -= 1
ijk_asu = n_dim_index_from_one_dim(i1d=t, sizes=n_real)
assert ta.accessor()(ijk_asu) == t
map[ijk] = map[ijk_asu]
sf_map = fft.forward(map)
del map
mi = miller.index_generator(
space_group_info.type(), False, miller_max).to_array()
assert mi.size() != 0
from_map = maptbx.structure_factors.from_map(
space_group=space_group_info.group(),
anomalous_flag=False,
miller_indices=mi,
complex_map=sf_map,
conjugate_flag=True)
sf = [iround(abs(f)) for f in from_map.data()]
if (sf != [0]*len(sf)):
assert problems_expected
return
else:
not problems_expected
#
map_p1 = map0.deep_copy()
map_sw = map0.deep_copy()
for ijk in flex.nested_loop(n_real):
t = ta[ijk]
if (t < 0):
v = random.random()*2-1
map_p1[ijk] = v
map_sw[ijk] = v * weight_map[ijk]
else:
ijk_asu = n_dim_index_from_one_dim(i1d=t, sizes=n_real)
assert ta.accessor()(ijk_asu) == t
assert map_p1[ijk_asu] != 0
map_p1[ijk] = map_p1[ijk_asu]
#
# fft followed by symmetry summation in reciprocal space
sf_map_sw = fft.forward(map_sw)
del map_sw
sf_sw = maptbx.structure_factors.from_map(
space_group=space_group_info.group(),
anomalous_flag=False,
miller_indices=mi,
complex_map=sf_map_sw,
conjugate_flag=True).data()
del sf_map_sw
#
# symmetry expansion in real space (done above already) followed fft
sf_map_p1 = fft.forward(map_p1)
del map_p1
sf_p1 = maptbx.structure_factors.from_map(
space_group=sgtbx.space_group(),
anomalous_flag=False,
miller_indices=mi,
complex_map=sf_map_p1,
conjugate_flag=True).data()
del sf_map_p1
#
corr = flex.linear_correlation(x=flex.abs(sf_sw), y=flex.abs(sf_p1))
assert corr.is_well_defined
assert approx_equal(corr.coefficient(), 1)
def run():
#
# try these Hall symbols:
# "P 1", "P 2", "P 3", "P 3*", "P 4", "P 6", "P 2 2 3"
#
space_group = sgtbx.space_group("P 3*") # Hall symbol
#
# initialization of space group symmetry constraints
#
adp_constraints = sgtbx.tensor_rank_2_constraints(space_group=space_group,
reciprocal_space=True)
#
# number of independent u_star parameters
#
n_indep = adp_constraints.n_independent_params()
#
# arbitrary Miller index and u_star tensor
#
h = (3, 1, 2)
u_star = (0.000004, 0.000004, 0.000007, 0.000002, 0.0000000, 0.0000000)
# optional: enforce symmetry at the beginning
u_star = space_group.average_u_star(u_star)
#
# pass u_indep to the minimizer
#
u_indep = adp_constraints.independent_params(all_params=u_star)
assert len(u_indep) == n_indep
#
# "expand" the independent parameters modified by the minimizer
#
u_star = adp_constraints.all_params(independent_params=u_indep)
assert len(u_star) == 6
#
# these calculations are completely independent of the symmetry
#
dwf = adptbx.debye_waller_factor_u_star(h, u_star)
gc = adptbx.debye_waller_factor_u_star_gradient_coefficients(h)
# all_gradients is an array of six values
all_gradients = [-2 * math.pi**2 * dwf * c for c in gc]
assert len(all_gradients) == 6
cc = adptbx.debye_waller_factor_u_star_curvature_coefficients(h)
# all_curvatures is an array of 21 values (upper triangle of 6x6 matrix)
all_curvatures = (-2 * math.pi**2)**2 * dwf * cc
assert len(all_curvatures) == 6 * (6 + 1) // 2
#
# here we apply the symmetry constraints to the gradients and curvatures
#
# g_indep is an array of n_indep values
g_indep = adp_constraints.independent_gradients(
all_gradients=all_gradients)
assert len(g_indep) == n_indep
# c_indep is an array of n_indep*(n_indep+1)/2 values (upper triangle)
c_indep = adp_constraints.independent_curvatures(
all_curvatures=all_curvatures)
assert len(c_indep) == n_indep * (n_indep + 1) // 2
# feed g_indep and c_indep to the minimizer
#
# initialization of site symmetry constraints
# (for sites on special positions)
#
unit_cell = uctbx.unit_cell((12, 12, 15, 90, 90, 120))
space_group = sgtbx.space_group_info("P 6").group()
site_symmetry = sgtbx.site_symmetry(
unit_cell=unit_cell,
space_group=space_group,
original_site=(1 / 3., 2 / 3., 0), # site on 3-fold axis
min_distance_sym_equiv=0.5)
assert len(site_symmetry.matrices()) == 3
adp_constraints = site_symmetry.adp_constraints()
# use adp_constraints as before
print("OK")