def exercise_bond():
  for i_trial in xrange(5):
    sites = random_sites(n_sites=2)
    b = geometry_restraints.bond(sites=sites, distance_ideal=0, weight=0)
    distance_ideal = b.distance_model
    sigma = distance_ideal * 0.01
    weight = 1 / sigma**2
    residual_obj = residual_functor(
      restraint_type=geometry_restraints.bond,
      distance_ideal=distance_ideal,
      weight=weight)
    for i_pert in xrange(5):
      if (i_pert == 0):
        sites_mod = sites
      else:
        sites_mod = []
        for site in sites:
          shift = col([random.uniform(-3,3)*sigma for i in xrange(3)])
          sites_mod.append(site+shift)
      b = geometry_restraints.bond(
        sites=sites_mod, distance_ideal=distance_ideal, weight=weight)
      ag = b.gradients()
      fg = finite_differences(sites_mod, residual_obj)
      for analytical,finite in zip(ag,fg):
        assert approx_equal(analytical, finite)
Beispiel #2
0
def exercise_bond():
    for i_trial in range(5):
        sites = random_sites(n_sites=2)
        b = geometry_restraints.bond(sites=sites, distance_ideal=0, weight=0)
        distance_ideal = b.distance_model
        sigma = distance_ideal * 0.01
        weight = 1 / sigma**2
        residual_obj = residual_functor(
            restraint_type=geometry_restraints.bond,
            distance_ideal=distance_ideal,
            weight=weight)
        for i_pert in range(5):
            if (i_pert == 0):
                sites_mod = sites
            else:
                sites_mod = []
                for site in sites:
                    shift = col(
                        [random.uniform(-3, 3) * sigma for i in range(3)])
                    sites_mod.append(site + shift)
            b = geometry_restraints.bond(sites=sites_mod,
                                         distance_ideal=distance_ideal,
                                         weight=weight)
            ag = b.gradients()
            fg = finite_differences(sites_mod, residual_obj)
            for analytical, finite in zip(ag, fg):
                assert approx_equal(analytical, finite)
Beispiel #3
0
def get_bond_outliers(bond_proxies, chain, sites_cart, hierarchy):
  i_seq_name_hash = build_name_hash(pdb_hierarchy=hierarchy)
  kin_text = "@subgroup {length devs} dominant\n"
  for bp in bond_proxies.simple:
    restraint = geometry_restraints.bond(sites_cart=sites_cart,
                                         proxy=bp)
    res = i_seq_name_hash[bp.i_seqs[0]][5:]
    altloc = i_seq_name_hash[bp.i_seqs[0]][4:5].lower()
    cur_chain = i_seq_name_hash[bp.i_seqs[0]][8:10]
    if chain.id.strip() is not cur_chain.strip():
      continue
    atom1 = i_seq_name_hash[bp.i_seqs[0]][0:4].strip()
    atom2 = i_seq_name_hash[bp.i_seqs[1]][0:4].strip()
    if atom1[0] == "H" or atom2[0] == "H" or \
       atom1[0] == "D" or atom2[0] == "D":
      continue
    sigma = ((1/restraint.weight)**(.5))
    num_sigmas = -(restraint.delta / sigma) #negative to match MolProbity direction
    if abs(num_sigmas) >= 4.0:
      bond_key = altloc+res[0:3].lower()+res[3:]+\
                 ' '+atom1.lower()+'-'+atom2.lower()
      kin = add_spring(sites=restraint.sites,
                       num_sigmas=num_sigmas,
                       bond_key=bond_key)
      kin_text += kin
  return kin_text
Beispiel #4
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def distances_as_cif_loop(xray_structure, proxies):
    space_group_info = sgtbx.space_group_info(
        group=xray_structure.space_group())
    unit_cell = xray_structure.unit_cell()
    sites_cart = xray_structure.sites_cart()
    site_labels = xray_structure.scatterers().extract_labels()
    fmt = "%.4f"
    loop = model.loop(header=("_restr_distance_atom_site_label_1",
                              "_restr_distance_atom_site_label_2",
                              "_restr_distance_site_symmetry_2",
                              "_restr_distance_target",
                              "_restr_distance_target_weight_param",
                              "_restr_distance_diff"))
    for proxy in proxies:
        restraint = geometry_restraints.bond(unit_cell=unit_cell,
                                             sites_cart=sites_cart,
                                             proxy=proxy)
        i_seqs = proxy.i_seqs
        sym_op = proxy.rt_mx_ji
        if sym_op is None: sym_op = sgtbx.rt_mx()
        loop.add_row(
            (site_labels[i_seqs[0]], site_labels[i_seqs[1]],
             space_group_info.cif_symmetry_code(sym_op),
             fmt % restraint.distance_ideal,
             fmt % math.sqrt(1 / restraint.weight), fmt % restraint.delta))
    return loop
Beispiel #5
0
def distances_as_cif_loop(xray_structure, proxies):
  space_group_info = sgtbx.space_group_info(group=xray_structure.space_group())
  unit_cell = xray_structure.unit_cell()
  sites_cart = xray_structure.sites_cart()
  site_labels = xray_structure.scatterers().extract_labels()
  fmt = "%.4f"
  loop = model.loop(header=(
    "_restr_distance_atom_site_label_1",
    "_restr_distance_atom_site_label_2",
    "_restr_distance_site_symmetry_2",
    "_restr_distance_target",
    "_restr_distance_target_weight_param",
    "_restr_distance_diff"
  ))
  for proxy in proxies:
    restraint = geometry_restraints.bond(
      unit_cell=unit_cell,
      sites_cart=sites_cart,
      proxy=proxy)
    i_seqs = proxy.i_seqs
    sym_op = proxy.rt_mx_ji
    if sym_op is None: sym_op = sgtbx.rt_mx()
    loop.add_row((site_labels[i_seqs[0]],
                  site_labels[i_seqs[1]],
                  space_group_info.cif_symmetry_code(sym_op),
                  fmt % restraint.distance_ideal,
                  fmt % math.sqrt(1/restraint.weight),
                  fmt % restraint.delta))
  return loop
Beispiel #6
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def psi_from_sites(resN, resCA, resC, nextN):
    from cctbx import geometry_restraints
    b = geometry_restraints.bond(sites=[resC, nextN],
                                 distance_ideal=1,
                                 weight=1)
    if (b.distance_model > 4): return None
    d = geometry_restraints.dihedral(sites=[resN, resCA, resC, nextN],
                                     angle_ideal=-40,
                                     weight=1)
    return d.angle_model
Beispiel #7
0
def phi_from_sites(prevC, resN, resCA, resC):
    from cctbx import geometry_restraints
    b = geometry_restraints.bond(sites=[prevC, resN],
                                 distance_ideal=1,
                                 weight=1)
    # check to see if residues are actually bonded.
    if (b.distance_model > 4): return None
    d = geometry_restraints.dihedral(sites=[prevC, resN, resCA, resC],
                                     angle_ideal=-40,
                                     weight=1)
    return d.angle_model
Beispiel #8
0
def psi_from_sites (resN, resCA, resC, nextN) :
  from cctbx import geometry_restraints
  b = geometry_restraints.bond(
    sites=[resC,nextN],
    distance_ideal=1,
    weight=1)
  if (b.distance_model > 4): return None
  d = geometry_restraints.dihedral(
    sites=[resN,resCA,resC,nextN],
    angle_ideal=-40,
    weight=1)
  return d.angle_model
Beispiel #9
0
def phi_from_sites (prevC, resN, resCA, resC) :
  from cctbx import geometry_restraints
  b = geometry_restraints.bond(
    sites=[prevC,resN],
    distance_ideal=1,
    weight=1)
  # check to see if residues are actually bonded.
  if (b.distance_model > 4): return None
  d = geometry_restraints.dihedral(
    sites=[prevC,resN,resCA,resC],
    angle_ideal=-40,
    weight=1)
  return d.angle_model
Beispiel #10
0
 def __init__(self,
              pdb_hierarchy,
              pdb_atoms,
              geometry_restraints_manager,
              outliers_only=True):
     rna_geometry.__init__(self)
     cutoff = 4
     sites_cart = pdb_atoms.extract_xyz()
     flags = geometry_restraints.flags.flags(default=True)
     pair_proxies = geometry_restraints_manager.pair_proxies(
         flags=flags, sites_cart=sites_cart)
     bond_proxies = pair_proxies.bond_proxies
     for proxy in bond_proxies.simple:
         restraint = geometry_restraints.bond(sites_cart=sites_cart,
                                              proxy=proxy)
         atom1 = pdb_atoms[proxy.i_seqs[0]].name
         atom2 = pdb_atoms[proxy.i_seqs[1]].name
         labels = pdb_atoms[proxy.i_seqs[0]].fetch_labels()
         if (atom1.strip() not in rna_backbone_atoms
                 or atom2.strip() not in rna_backbone_atoms):
             continue
         self.n_total += 1
         sigma = sqrt(1 / restraint.weight)
         num_sigmas = restraint.delta / sigma
         is_outlier = (abs(num_sigmas) >= cutoff)
         if (is_outlier or not outliers_only):
             self.n_outliers += 1
             self.results.append(
                 rna_bond(chain_id=labels.chain_id,
                          resseq=labels.resseq,
                          icode=labels.icode,
                          altloc=labels.altloc,
                          resname=labels.resname,
                          atoms_info=validation.get_atoms_info(
                              pdb_atoms, proxy.i_seqs),
                          sigma=sigma,
                          score=num_sigmas,
                          delta=restraint.delta,
                          outlier=is_outlier))
Beispiel #11
0
 def __init__ (self, pdb_hierarchy, pdb_atoms, geometry_restraints_manager,
               outliers_only=True) :
   rna_geometry.__init__(self)
   cutoff = 4
   sites_cart = pdb_atoms.extract_xyz()
   flags = geometry_restraints.flags.flags(default=True)
   pair_proxies = geometry_restraints_manager.pair_proxies(
     flags=flags,
     sites_cart=sites_cart)
   bond_proxies = pair_proxies.bond_proxies
   for proxy in bond_proxies.simple:
     restraint = geometry_restraints.bond(
       sites_cart=sites_cart,
       proxy=proxy)
     atom1 = pdb_atoms[proxy.i_seqs[0]].name
     atom2 = pdb_atoms[proxy.i_seqs[1]].name
     labels = pdb_atoms[proxy.i_seqs[0]].fetch_labels()
     if (atom1.strip() not in rna_backbone_atoms or
         atom2.strip() not in rna_backbone_atoms) :
       continue
     self.n_total += 1
     sigma = sqrt(1 / restraint.weight)
     num_sigmas = restraint.delta / sigma
     is_outlier = (abs(num_sigmas) >= cutoff)
     if (is_outlier or not outliers_only):
       self.n_outliers += 1
       self.results.append(rna_bond(
         chain_id=labels.chain_id,
         resseq=labels.resseq,
         icode=labels.icode,
         altloc=labels.altloc,
         resname=labels.resname,
         atoms_info=validation.get_atoms_info(pdb_atoms, proxy.i_seqs),
         sigma=sigma,
         score=num_sigmas,
         delta=restraint.delta,
         outlier=is_outlier))
Beispiel #12
0
  def ensemble_mean_geometry_stats(self,
                                   restraints_manager,
                                   xray_structure,
                                   ensemble_xray_structures,
                                   ignore_hd = True,
                                   verbose = False,
                                   out = None,
                                   return_pdb_string = False):
    if (out is None): out = sys.stdout
    if verbose:
      utils.print_header("Ensemble mean geometry statistics", out = out)
    ensemble_size = len(ensemble_xray_structures)
    print("Ensemble size : ", ensemble_size, file=out)

    # Dictionaries to store deltas
    ensemble_bond_deltas = {}
    ensemble_angle_deltas = {}
    ensemble_chirality_deltas = {}
    ensemble_planarity_deltas = {}
    ensemble_dihedral_deltas = {}

    # List to store rmsd of each model
    structures_bond_rmsd = flex.double()
    structures_angle_rmsd = flex.double()
    structures_chirality_rmsd = flex.double()
    structures_planarity_rmsd = flex.double()
    structures_dihedral_rmsd = flex.double()

    # Remove water and hd atoms from global restraints manager
    selection = flex.bool()
    for sc in xray_structure.scatterers():
      if sc.label.find('HOH') > -1:
        selection.append(True)
      else:
        selection.append(False)
    if ignore_hd:
      hd_selection = xray_structure.hd_selection()
      assert hd_selection.size() == selection.size()
      for n in range(hd_selection.size()):
        if hd_selection[n] or selection[n]:
          selection[n] = True
    restraints_manager = restraints_manager.select(selection = ~selection)

    # Get all deltas
    for n, structure in enumerate(ensemble_xray_structures):
      if verbose:
        print("\nModel : ", n+1, file=out)
      sites_cart = structure.sites_cart()
      # Remove water and hd atoms from individual structures sites cart
      selection = flex.bool()
      for sc in structure.scatterers():
        if sc.label.find('HOH') > -1:
          selection.append(True)
        else:
          selection.append(False)
      if ignore_hd:
        hd_selection = structure.hd_selection()
        assert hd_selection.size() == selection.size()
        for n in range(hd_selection.size()):
          if hd_selection[n] or selection[n]:
            selection[n] = True
      sites_cart = sites_cart.select(~selection)
      assert sites_cart is not None
      site_labels = None
      energies_sites = restraints_manager.energies_sites(
          sites_cart        = sites_cart,
          compute_gradients = False)

      # Rmsd of individual model
      bond_rmsd = energies_sites.geometry.bond_deviations()[2]
      angle_rmsd = energies_sites.geometry.angle_deviations()[2]
      chirality_rmsd = energies_sites.geometry.chirality_deviations()[2]
      planarity_rmsd = energies_sites.geometry.planarity_deviations()[2]
      dihedral_rmsd = energies_sites.geometry.dihedral_deviations()[2]

      structures_bond_rmsd.append(bond_rmsd)
      structures_angle_rmsd.append(angle_rmsd)
      structures_chirality_rmsd.append(chirality_rmsd)
      structures_planarity_rmsd.append(planarity_rmsd)
      structures_dihedral_rmsd.append(dihedral_rmsd)

      if verbose:
        print("  Model RMSD", file=out)
        print("    bond      : %.6g" % bond_rmsd, file=out)
        print("    angle     : %.6g" % angle_rmsd, file=out)
        print("    chirality : %.6g" % chirality_rmsd, file=out)
        print("    planarity : %.6g" % planarity_rmsd, file=out)
        print("    dihedral  : %.6g" % dihedral_rmsd, file=out)

      # Bond
      pair_proxies = restraints_manager.geometry.pair_proxies(flags=None, sites_cart=sites_cart)
      assert pair_proxies is not None
      if verbose:
        pair_proxies.bond_proxies.show_histogram_of_deltas(
          sites_cart  = sites_cart,
          n_slots     = 10,
          f           = out)
      for proxy in pair_proxies.bond_proxies.simple:
        bond_simple_proxy = geometry_restraints.bond(
            sites_cart = sites_cart,
            proxy      = proxy)
        if proxy.i_seqs in ensemble_bond_deltas:
          ensemble_bond_deltas[proxy.i_seqs][0]+=bond_simple_proxy.delta
          ensemble_bond_deltas[proxy.i_seqs][1]+=1
        else:
          ensemble_bond_deltas[proxy.i_seqs] = [bond_simple_proxy.delta, 1]
        if verbose:
          print("bond simple :", proxy.i_seqs, file=out)
          print("  distance_ideal : %.6g" % proxy.distance_ideal, file=out)
          print("  distance_model : %.6g" % bond_simple_proxy.distance_model, file=out)
          print("  detla          : %.6g" % bond_simple_proxy.delta, file=out)
      if (pair_proxies.bond_proxies.asu.size() > 0):
        asu_mappings = pair_proxies.bond_proxies.asu_mappings()
        for proxy in pair_proxies.bond_proxies.asu:
          rt_mx = asu_mappings.get_rt_mx_ji(pair=proxy)
          bond_asu_proxy = geometry_restraints.bond(
              sites_cart   = sites_cart,
              asu_mappings = asu_mappings,
              proxy        = proxy)
          proxy_i_seqs = (proxy.i_seq, proxy.j_seq)
          if proxy_i_seqs in ensemble_bond_deltas:
            ensemble_bond_deltas[proxy_i_seqs][0]+=bond_asu_proxy.delta
            ensemble_bond_deltas[proxy_i_seqs][1]+=1
          else:
            ensemble_bond_deltas[proxy_i_seqs] = [bond_asu_proxy.delta, 1]
          if verbose:
            print("bond asu :", (proxy.i_seq, proxy.j_seq), rt_mx, file=out)
            print("  distance_ideal : %.6g" % proxy.distance_ideal, file=out)
            print("  distance_model : %.6g" % bond_asu_proxy.distance_model, file=out)
            print("  delta          : %.6g" % bond_asu_proxy.delta, file=out)

      # Angle
      if verbose:
        restraints_manager.geometry.angle_proxies.show_histogram_of_deltas(
            sites_cart  = sites_cart,
            n_slots     = 10,
            f           = out)
      for proxy in restraints_manager.geometry.angle_proxies:
        angle_proxy = geometry_restraints.angle(
            sites_cart = sites_cart,
            proxy      = proxy)
        if proxy.i_seqs in ensemble_angle_deltas:
          ensemble_angle_deltas[proxy.i_seqs][0]+=angle_proxy.delta
          ensemble_angle_deltas[proxy.i_seqs][1]+=1
        else:
          ensemble_angle_deltas[proxy.i_seqs] = [angle_proxy.delta, 1]
        if verbose:
          print("angle : ", proxy.i_seqs, file=out)
          print("  angle_ideal   : %.6g" % proxy.angle_ideal, file=out)
          print("  angle_model   : %.6g" % angle_proxy.angle_model, file=out)
          print("  delta         : %.6g" % angle_proxy.delta, file=out)

      # Chirality
      if verbose:
        restraints_manager.geometry.chirality_proxies.show_histogram_of_deltas(
            sites_cart  = sites_cart,
            n_slots     = 10,
            f           = out)
      for proxy in restraints_manager.geometry.chirality_proxies:
        chirality_proxy = geometry_restraints.chirality(
            sites_cart = sites_cart,
            proxy      = proxy)
        if proxy.i_seqs in ensemble_chirality_deltas:
          ensemble_chirality_deltas[proxy.i_seqs][0]+=chirality_proxy.delta
          ensemble_chirality_deltas[proxy.i_seqs][1]+=1
        else:
          ensemble_chirality_deltas[proxy.i_seqs] = [chirality_proxy.delta, 1]
        if verbose:
          print("chirality : ", proxy.i_seqs, file=out)
          print("  chirality_ideal : %.6g" % proxy.volume_ideal, file=out)
          print("  chirality_model : %.6g" % chirality_proxy.volume_model, file=out)
          print("  chirality       : %.6g" % chirality_proxy.delta, file=out)

      # Planarity
      for proxy in restraints_manager.geometry.planarity_proxies:
        planarity_proxy = geometry_restraints.planarity(
            sites_cart = sites_cart,
            proxy      = proxy)
        proxy_i_seqs = []
        for i_seq in proxy.i_seqs:
          proxy_i_seqs.append(i_seq)
        proxy_i_seqs = tuple(proxy_i_seqs)
        if proxy_i_seqs in ensemble_planarity_deltas:
          ensemble_planarity_deltas[proxy_i_seqs][0]+=planarity_proxy.rms_deltas()
          ensemble_planarity_deltas[proxy_i_seqs][1]+=1
        else:
          ensemble_planarity_deltas[proxy_i_seqs] = [planarity_proxy.rms_deltas(), 1]
        if verbose:
          print("planarity : ", proxy_i_seqs, file=out)
          print("  planarity rms_deltas : %.6g" % planarity_proxy.rms_deltas(), file=out)

      # Dihedral
      if verbose:
        restraints_manager.geometry.dihedral_proxies.show_histogram_of_deltas(
            sites_cart  = sites_cart,
            n_slots     = 10,
            f           = out)
      for proxy in restraints_manager.geometry.dihedral_proxies:
        dihedral_proxy = geometry_restraints.dihedral(
            sites_cart = sites_cart,
            proxy      = proxy)
        if proxy.i_seqs in ensemble_dihedral_deltas:
          ensemble_dihedral_deltas[proxy.i_seqs][0]+=dihedral_proxy.delta
          ensemble_dihedral_deltas[proxy.i_seqs][1]+=1
        else:
          ensemble_dihedral_deltas[proxy.i_seqs] = [dihedral_proxy.delta, 1]
        if verbose:
          print("dihedral : ", proxy.i_seqs, file=out)
          print("  dihedral_ideal  : %.6g" % proxy.angle_ideal, file=out)
          print("  periodicity     : %.6g" % proxy.periodicity, file=out)
          print("  dihedral_model  : %.6g" % dihedral_proxy.angle_model, file=out)
          print("  delta           : %.6g" % dihedral_proxy.delta, file=out)

    # Calculate RMSDs for ensemble model
    # Bond
    mean_bond_delta = flex.double()
    for proxy, info in six.iteritems(ensemble_bond_deltas):
      # assert info[1] == ensemble_size
      if info[1]!=ensemble_size:
        print('skipping bond RMSD calns of ensemble %s' % info, file=out)
        continue
      mean_delta = info[0] / info[1]
      mean_bond_delta.append(mean_delta)
    bond_delta_sq = mean_bond_delta * mean_bond_delta
    ensemble_bond_rmsd = math.sqrt(flex.mean_default(bond_delta_sq, 0))

    # Angle
    mean_angle_delta = flex.double()
    for proxy, info in six.iteritems(ensemble_angle_deltas):
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_angle_delta.append(mean_delta)
    angle_delta_sq = mean_angle_delta * mean_angle_delta
    ensemble_angle_rmsd = math.sqrt(flex.mean_default(angle_delta_sq, 0))

    # Chirality
    mean_chirality_delta = flex.double()
    for proxy, info in six.iteritems(ensemble_chirality_deltas):
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_chirality_delta.append(mean_delta)
    chirality_delta_sq = mean_chirality_delta * mean_chirality_delta
    ensemble_chirality_rmsd = math.sqrt(flex.mean_default(chirality_delta_sq, 0))

    # Planarity
    mean_planarity_delta = flex.double()
    for proxy, info in six.iteritems(ensemble_planarity_deltas):
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_planarity_delta.append(mean_delta)
    planarity_delta_sq = mean_planarity_delta * mean_planarity_delta
    ensemble_planarity_rmsd = math.sqrt(flex.mean_default(planarity_delta_sq, 0))

    # Dihedral
    mean_dihedral_delta = flex.double()
    for proxy, info in six.iteritems(ensemble_dihedral_deltas):
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_dihedral_delta.append(mean_delta)
    dihedral_delta_sq = mean_dihedral_delta * mean_dihedral_delta
    ensemble_dihedral_rmsd = math.sqrt(flex.mean_default(dihedral_delta_sq, 0))

    # Calculate <structure rmsd>
    assert ensemble_size == structures_bond_rmsd
    assert ensemble_size == structures_angle_rmsd
    assert ensemble_size == structures_chirality_rmsd
    assert ensemble_size == structures_planarity_rmsd
    assert ensemble_size == structures_dihedral_rmsd
    structure_bond_rmsd_mean = structures_bond_rmsd.min_max_mean().mean
    structure_angle_rmsd_mean = structures_angle_rmsd.min_max_mean().mean
    structure_chirality_rmsd_mean = structures_chirality_rmsd.min_max_mean().mean
    structure_planarity_rmsd_mean = structures_planarity_rmsd.min_max_mean().mean
    structure_dihedral_rmsd_mean = structures_dihedral_rmsd.min_max_mean().mean

    # Show summary
    utils.print_header("Ensemble RMSD summary", out = out)
    print("  RMSD (mean delta per restraint)", file=out)
    print("    bond      : %.6g" % ensemble_bond_rmsd, file=out)
    print("    angle     : %.6g" % ensemble_angle_rmsd, file=out)
    print("    chirality : %.6g" % ensemble_chirality_rmsd, file=out)
    print("    planarity : %.6g" % ensemble_planarity_rmsd, file=out)
    print("    dihedral  : %.6g" % ensemble_dihedral_rmsd, file=out)
    print("  RMSD (mean RMSD per structure)", file=out)
    print("    bond      : %.6g" % structure_bond_rmsd_mean, file=out)
    print("    angle     : %.6g" % structure_angle_rmsd_mean, file=out)
    print("    chirality : %.6g" % structure_chirality_rmsd_mean, file=out)
    print("    planarity : %.6g" % structure_planarity_rmsd_mean, file=out)
    print("    dihedral  : %.6g" % structure_dihedral_rmsd_mean, file=out)
    if ignore_hd:
      print("\n  Calculated excluding H/D", file=out)
    else:
      print("\n  Calculated including H/D", file=out)

    if return_pdb_string:
      ens_geo_pdb_string  = "REMARK   3"
      ens_geo_pdb_string += "\nREMARK   3  NUMBER STRUCTURES IN ENSEMBLE : {0:5d}".format(ensemble_size)
      if ignore_hd:
        ens_geo_pdb_string += "\nREMARK   3  RMS DEVIATIONS FROM IDEAL VALUES (EXCLUDING H/D)"
      else:
        ens_geo_pdb_string += "\nREMARK   3  RMS DEVIATIONS FROM IDEAL VALUES (INCLUDING H/D)"
      ens_geo_pdb_string += "\nREMARK   3  RMSD (MEAN DELTA PER RESTRAINT)"
      ens_geo_pdb_string += "\nREMARK   3    BOND      : {0:5.3f}".format(ensemble_bond_rmsd)
      ens_geo_pdb_string += "\nREMARK   3    ANGLE     : {0:5.3f}".format(ensemble_angle_rmsd)
      ens_geo_pdb_string += "\nREMARK   3    CHIRALITY : {0:5.3f}".format(ensemble_chirality_rmsd)
      ens_geo_pdb_string += "\nREMARK   3    PLANARITY : {0:5.3f}".format(ensemble_planarity_rmsd)
      ens_geo_pdb_string += "\nREMARK   3    DIHEDRAL  : {0:5.2f}".format(ensemble_dihedral_rmsd)
      ens_geo_pdb_string += "\nREMARK   3  RMSD (MEAN RMSD PER STRUCTURE)"
      ens_geo_pdb_string += "\nREMARK   3    BOND      : {0:5.3f}".format(structure_bond_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3    ANGLE     : {0:5.3f}".format(structure_angle_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3    CHIRALITY : {0:5.3f}".format(structure_chirality_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3    PLANARITY : {0:5.3f}".format(structure_planarity_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3    DIHEDRAL  : {0:5.2f}".format(structure_dihedral_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3"
      return ens_geo_pdb_string
  def ensemble_mean_geometry_stats(self,
                                   restraints_manager,
                                   xray_structure,
                                   ensemble_xray_structures,
                                   ignore_hd = True,
                                   verbose = False,
                                   out = None,
                                   return_pdb_string = False):
    if (out is None): out = sys.stdout
    if verbose:
      utils.print_header("Ensemble mean geometry statistics", out = out)
    ensemble_size = len(ensemble_xray_structures)
    print >> out, "Ensemble size : ", ensemble_size

    # Dictionaries to store deltas
    ensemble_bond_deltas = {}
    ensemble_angle_deltas = {}
    ensemble_chirality_deltas = {}
    ensemble_planarity_deltas = {}
    ensemble_dihedral_deltas = {}

    # List to store rmsd of each model
    structures_bond_rmsd = flex.double()
    structures_angle_rmsd = flex.double()
    structures_chirality_rmsd = flex.double()
    structures_planarity_rmsd = flex.double()
    structures_dihedral_rmsd = flex.double()

    # Remove water and hd atoms from global restraints manager
    selection = flex.bool()
    for sc in xray_structure.scatterers():
      if sc.label.find('HOH') > -1:
        selection.append(True)
      else:
        selection.append(False)
    if ignore_hd:
      hd_selection = xray_structure.hd_selection()
      assert hd_selection.size() == selection.size()
      for n in xrange(hd_selection.size()):
        if hd_selection[n] or selection[n]:
          selection[n] = True
    restraints_manager = restraints_manager.select(selection = ~selection)

    # Get all deltas
    for n, structure in enumerate(ensemble_xray_structures):
      if verbose:
        print >> out, "\nModel : ", n+1
      sites_cart = structure.sites_cart()
      # Remove water and hd atoms from individual structures sites cart
      selection = flex.bool()
      for sc in structure.scatterers():
        if sc.label.find('HOH') > -1:
          selection.append(True)
        else:
          selection.append(False)
      if ignore_hd:
        hd_selection = structure.hd_selection()
        assert hd_selection.size() == selection.size()
        for n in xrange(hd_selection.size()):
          if hd_selection[n] or selection[n]:
            selection[n] = True
      sites_cart = sites_cart.select(~selection)
      assert sites_cart is not None
      site_labels = None
      energies_sites = restraints_manager.energies_sites(
          sites_cart        = sites_cart,
          compute_gradients = False)

      # Rmsd of individual model
      bond_rmsd = energies_sites.geometry.bond_deviations()[2]
      angle_rmsd = energies_sites.geometry.angle_deviations()[2]
      chirality_rmsd = energies_sites.geometry.chirality_deviations()[2]
      planarity_rmsd = energies_sites.geometry.planarity_deviations()[2]
      dihedral_rmsd = energies_sites.geometry.dihedral_deviations()[2]

      structures_bond_rmsd.append(bond_rmsd)
      structures_angle_rmsd.append(angle_rmsd)
      structures_chirality_rmsd.append(chirality_rmsd)
      structures_planarity_rmsd.append(planarity_rmsd)
      structures_dihedral_rmsd.append(dihedral_rmsd)

      if verbose:
        print >> out, "  Model RMSD"
        print >> out, "    bond      : %.6g" % bond_rmsd
        print >> out, "    angle     : %.6g" % angle_rmsd
        print >> out, "    chirality : %.6g" % chirality_rmsd
        print >> out, "    planarity : %.6g" % planarity_rmsd
        print >> out, "    dihedral  : %.6g" % dihedral_rmsd

      # Bond
      pair_proxies = restraints_manager.geometry.pair_proxies(flags=None, sites_cart=sites_cart)
      assert pair_proxies is not None
      if verbose:
        pair_proxies.bond_proxies.show_histogram_of_deltas(
          sites_cart  = sites_cart,
          n_slots     = 10,
          f           = out)
      for proxy in pair_proxies.bond_proxies.simple:
        bond_simple_proxy = geometry_restraints.bond(
            sites_cart = sites_cart,
            proxy      = proxy)
        if proxy.i_seqs in ensemble_bond_deltas:
          ensemble_bond_deltas[proxy.i_seqs][0]+=bond_simple_proxy.delta
          ensemble_bond_deltas[proxy.i_seqs][1]+=1
        else:
          ensemble_bond_deltas[proxy.i_seqs] = [bond_simple_proxy.delta, 1]
        if verbose:
          print >> out, "bond simple :", proxy.i_seqs
          print >> out, "  distance_ideal : %.6g" % proxy.distance_ideal
          print >> out, "  distance_model : %.6g" % bond_simple_proxy.distance_model
          print >> out, "  detla          : %.6g" % bond_simple_proxy.delta
      if (pair_proxies.bond_proxies.asu.size() > 0):
        asu_mappings = pair_proxies.bond_proxies.asu_mappings()
        for proxy in pair_proxies.bond_proxies.asu:
          rt_mx = asu_mappings.get_rt_mx_ji(pair=proxy)
          bond_asu_proxy = geometry_restraints.bond(
              sites_cart   = sites_cart,
              asu_mappings = asu_mappings,
              proxy        = proxy)
          proxy_i_seqs = (proxy.i_seq, proxy.j_seq)
          if proxy_i_seqs in ensemble_bond_deltas:
            ensemble_bond_deltas[proxy_i_seqs][0]+=bond_asu_proxy.delta
            ensemble_bond_deltas[proxy_i_seqs][1]+=1
          else:
            ensemble_bond_deltas[proxy_i_seqs] = [bond_asu_proxy.delta, 1]
          if verbose:
            print >> out, "bond asu :", (proxy.i_seq, proxy.j_seq), rt_mx
            print >> out, "  distance_ideal : %.6g" % proxy.distance_ideal
            print >> out, "  distance_model : %.6g" % bond_asu_proxy.distance_model
            print >> out, "  delta          : %.6g" % bond_asu_proxy.delta

      # Angle
      if verbose:
        restraints_manager.geometry.angle_proxies.show_histogram_of_deltas(
            sites_cart  = sites_cart,
            n_slots     = 10,
            f           = out)
      for proxy in restraints_manager.geometry.angle_proxies:
        angle_proxy = geometry_restraints.angle(
            sites_cart = sites_cart,
            proxy      = proxy)
        if proxy.i_seqs in ensemble_angle_deltas:
          ensemble_angle_deltas[proxy.i_seqs][0]+=angle_proxy.delta
          ensemble_angle_deltas[proxy.i_seqs][1]+=1
        else:
          ensemble_angle_deltas[proxy.i_seqs] = [angle_proxy.delta, 1]
        if verbose:
          print >> out, "angle : ", proxy.i_seqs
          print >> out, "  angle_ideal   : %.6g" % proxy.angle_ideal
          print >> out, "  angle_model   : %.6g" % angle_proxy.angle_model
          print >> out, "  delta         : %.6g" % angle_proxy.delta

      # Chirality
      if verbose:
        restraints_manager.geometry.chirality_proxies.show_histogram_of_deltas(
            sites_cart  = sites_cart,
            n_slots     = 10,
            f           = out)
      for proxy in restraints_manager.geometry.chirality_proxies:
        chirality_proxy = geometry_restraints.chirality(
            sites_cart = sites_cart,
            proxy      = proxy)
        if proxy.i_seqs in ensemble_chirality_deltas:
          ensemble_chirality_deltas[proxy.i_seqs][0]+=chirality_proxy.delta
          ensemble_chirality_deltas[proxy.i_seqs][1]+=1
        else:
          ensemble_chirality_deltas[proxy.i_seqs] = [chirality_proxy.delta, 1]
        if verbose:
          print >> out, "chirality : ", proxy.i_seqs
          print >> out, "  chirality_ideal : %.6g" % proxy.volume_ideal
          print >> out, "  chirality_model : %.6g" % chirality_proxy.volume_model
          print >> out, "  chirality       : %.6g" % chirality_proxy.delta

      # Planarity
      for proxy in restraints_manager.geometry.planarity_proxies:
        planarity_proxy = geometry_restraints.planarity(
            sites_cart = sites_cart,
            proxy      = proxy)
        proxy_i_seqs = []
        for i_seq in proxy.i_seqs:
          proxy_i_seqs.append(i_seq)
        proxy_i_seqs = tuple(proxy_i_seqs)
        if proxy_i_seqs in ensemble_planarity_deltas:
          ensemble_planarity_deltas[proxy_i_seqs][0]+=planarity_proxy.rms_deltas()
          ensemble_planarity_deltas[proxy_i_seqs][1]+=1
        else:
          ensemble_planarity_deltas[proxy_i_seqs] = [planarity_proxy.rms_deltas(), 1]
        if verbose:
          print >> out, "planarity : ", proxy_i_seqs
          print >> out, "  planarity rms_deltas : %.6g" % planarity_proxy.rms_deltas()

      # Dihedral
      if verbose:
        restraints_manager.geometry.dihedral_proxies.show_histogram_of_deltas(
            sites_cart  = sites_cart,
            n_slots     = 10,
            f           = out)
      for proxy in restraints_manager.geometry.dihedral_proxies:
        dihedral_proxy = geometry_restraints.dihedral(
            sites_cart = sites_cart,
            proxy      = proxy)
        if proxy.i_seqs in ensemble_dihedral_deltas:
          ensemble_dihedral_deltas[proxy.i_seqs][0]+=dihedral_proxy.delta
          ensemble_dihedral_deltas[proxy.i_seqs][1]+=1
        else:
          ensemble_dihedral_deltas[proxy.i_seqs] = [dihedral_proxy.delta, 1]
        if verbose:
          print >> out, "dihedral : ", proxy.i_seqs
          print >> out, "  dihedral_ideal  : %.6g" % proxy.angle_ideal
          print >> out, "  periodicity     : %.6g" % proxy.periodicity
          print >> out, "  dihedral_model  : %.6g" % dihedral_proxy.angle_model
          print >> out, "  delta           : %.6g" % dihedral_proxy.delta

    # Calculate RMSDs for ensemble model
    # Bond
    mean_bond_delta = flex.double()
    for proxy, info in ensemble_bond_deltas.iteritems():
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_bond_delta.append(mean_delta)
    bond_delta_sq = mean_bond_delta * mean_bond_delta
    ensemble_bond_rmsd = math.sqrt(flex.mean_default(bond_delta_sq, 0))

    # Angle
    mean_angle_delta = flex.double()
    for proxy, info in ensemble_angle_deltas.iteritems():
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_angle_delta.append(mean_delta)
    angle_delta_sq = mean_angle_delta * mean_angle_delta
    ensemble_angle_rmsd = math.sqrt(flex.mean_default(angle_delta_sq, 0))

    # Chirality
    mean_chirality_delta = flex.double()
    for proxy, info in ensemble_chirality_deltas.iteritems():
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_chirality_delta.append(mean_delta)
    chirality_delta_sq = mean_chirality_delta * mean_chirality_delta
    ensemble_chirality_rmsd = math.sqrt(flex.mean_default(chirality_delta_sq, 0))

    # Planarity
    mean_planarity_delta = flex.double()
    for proxy, info in ensemble_planarity_deltas.iteritems():
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_planarity_delta.append(mean_delta)
    planarity_delta_sq = mean_planarity_delta * mean_planarity_delta
    ensemble_planarity_rmsd = math.sqrt(flex.mean_default(planarity_delta_sq, 0))

    # Dihedral
    mean_dihedral_delta = flex.double()
    for proxy, info in ensemble_dihedral_deltas.iteritems():
      assert info[1] == ensemble_size
      mean_delta = info[0] / info[1]
      mean_dihedral_delta.append(mean_delta)
    dihedral_delta_sq = mean_dihedral_delta * mean_dihedral_delta
    ensemble_dihedral_rmsd = math.sqrt(flex.mean_default(dihedral_delta_sq, 0))

    # Calculate <structure rmsd>
    assert ensemble_size == structures_bond_rmsd
    assert ensemble_size == structures_angle_rmsd
    assert ensemble_size == structures_chirality_rmsd
    assert ensemble_size == structures_planarity_rmsd
    assert ensemble_size == structures_dihedral_rmsd
    structure_bond_rmsd_mean = structures_bond_rmsd.min_max_mean().mean
    structure_angle_rmsd_mean = structures_angle_rmsd.min_max_mean().mean
    structure_chirality_rmsd_mean = structures_chirality_rmsd.min_max_mean().mean
    structure_planarity_rmsd_mean = structures_planarity_rmsd.min_max_mean().mean
    structure_dihedral_rmsd_mean = structures_dihedral_rmsd.min_max_mean().mean

    # Show summary
    utils.print_header("Ensemble RMSD summary", out = out)
    print >> out, "  RMSD (mean delta per restraint)"
    print >> out, "    bond      : %.6g" % ensemble_bond_rmsd
    print >> out, "    angle     : %.6g" % ensemble_angle_rmsd
    print >> out, "    chirality : %.6g" % ensemble_chirality_rmsd
    print >> out, "    planarity : %.6g" % ensemble_planarity_rmsd
    print >> out, "    dihedral  : %.6g" % ensemble_dihedral_rmsd
    print >> out, "  RMSD (mean RMSD per structure)"
    print >> out, "    bond      : %.6g" % structure_bond_rmsd_mean
    print >> out, "    angle     : %.6g" % structure_angle_rmsd_mean
    print >> out, "    chirality : %.6g" % structure_chirality_rmsd_mean
    print >> out, "    planarity : %.6g" % structure_planarity_rmsd_mean
    print >> out, "    dihedral  : %.6g" % structure_dihedral_rmsd_mean
    if ignore_hd:
      print >> out, "\n  Calculated excluding H/D"
    else:
      print >> out, "\n  Calculated including H/D"

    if return_pdb_string:
      ens_geo_pdb_string  = "REMARK   3"
      ens_geo_pdb_string += "\nREMARK   3  NUMBER STRUCTURES IN ENSEMBLE : {0:5d}".format(ensemble_size)
      if ignore_hd:
        ens_geo_pdb_string += "\nREMARK   3  RMS DEVIATIONS FROM IDEAL VALUES (EXCLUDING H/D)"
      else:
        ens_geo_pdb_string += "\nREMARK   3  RMS DEVIATIONS FROM IDEAL VALUES (INCLUDING H/D)"
      ens_geo_pdb_string += "\nREMARK   3  RMSD (MEAN DELTA PER RESTRAINT)"
      ens_geo_pdb_string += "\nREMARK   3    BOND      : {0:5.3f}".format(ensemble_bond_rmsd)
      ens_geo_pdb_string += "\nREMARK   3    ANGLE     : {0:5.3f}".format(ensemble_angle_rmsd)
      ens_geo_pdb_string += "\nREMARK   3    CHIRALITY : {0:5.3f}".format(ensemble_chirality_rmsd)
      ens_geo_pdb_string += "\nREMARK   3    PLANARITY : {0:5.3f}".format(ensemble_planarity_rmsd)
      ens_geo_pdb_string += "\nREMARK   3    DIHEDRAL  : {0:5.2f}".format(ensemble_dihedral_rmsd)
      ens_geo_pdb_string += "\nREMARK   3  RMSD (MEAN RMSD PER STRUCTURE)"
      ens_geo_pdb_string += "\nREMARK   3    BOND      : {0:5.3f}".format(structure_bond_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3    ANGLE     : {0:5.3f}".format(structure_angle_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3    CHIRALITY : {0:5.3f}".format(structure_chirality_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3    PLANARITY : {0:5.3f}".format(structure_planarity_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3    DIHEDRAL  : {0:5.2f}".format(structure_dihedral_rmsd_mean)
      ens_geo_pdb_string += "\nREMARK   3"
      return ens_geo_pdb_string