buildxlinks.py

"""@namespace IMP.EMageFit.buildxlinks
   Utility functions to handle cross links.
"""

import IMP
import IMP.atom as atom
import IMP.algebra as alg
import IMP.core as core
import sys
import logging
from IMP.EMageFit.argminmax import keymax
log = logging.getLogger("buildxlinks")

import networkx as nx

try:
    set = set
except NameError:
    from sets import Set as set


class Xlink:

    """
        Class defining a cross-link
    """

    def __init__(self, id1, chain1, residue1,
                 id2, chain2, residue2,
                 distance):
        """
            Initialize the class
            @param[in] id1 Id of the first component of the cross-link
            @param[in] chain1 Chain of the first component
            @param[in] residue1 Residue cross-linked in the first component
            @param[in] id2   Id of the second component of the cross-link
            @param[in] chain2   chain1 Chain of the second component
            @param[in] residue2   Residue cross-linked in the second component
            @param[in] distance Maximum distance
        """
        self.first_id = id1
        self.first_chain = chain1
        self.first_residue = residue1
        self.second_id = id2
        self.second_chain = chain2
        self.second_residue = residue2
        self.distance = distance

    def clone(self):
        xl = Xlink(self.first_id, self.first_chain, self.first_residue,
                   self.second_id, self.second_chain, self.second_residue,
                   self.distance)
        return xl

    def __eq__(self, other):
        if self.first_id != other.first_id or \
           self.second_id != other.second_id or \
           self.first_chain != other.first_chain or \
           self.second_chain != other.second_chain or \
           self.first_residue != other.first_residue or \
           self.second_residue != other.second_residue or \
           abs(other.distance - self.distance) > 0.01:
            return False
        return True

    def swap(self):
        """
            swaps the order of the residues in the restraint
        """
        self.first_id, self.second_id = self.second_id, self.first_id
        self.first_residue, self.second_residue = \
            self.second_residue, self.first_residue
        self.first_chain, self.second_chain = \
            self.second_chain, self.first_chain

    def show(self):
        s = "Cross Link: %s %s %d - %s %s %d. Distance %f" % (self.first_id,
                                                              self.first_chain, self.first_residue,
                                                              self.second_id, self.second_chain,
                                                              self.second_residue, self.distance)
        return s

    def get_name(self):
        """
            Generate a unique name for the restraint.
            @note: The name cannot start with a number, upsets sqlite
        """
        name = "cl_%s_%s%d_%s_%s%d" % (self.first_id, self.first_chain,
                                       self.first_residue, self.second_id,
                                       self.second_chain, self.second_residue)
        return name


def build_xlinks_graph(xlinks_dict):
    """
        Build a set of nodes and edges from the set of crosslinking
        restraints.
        @param xlinks_dict a XlinksDict class

    """
    subunits = set()
    edges = []
    for key in xlinks_dict.keys():
        subunits.add(key[0])
        subunits.add(key[1])
        edge = sorted([key[0], key[1]])
        if edge not in edges:
            edges.append(edge)
    log.debug("Subunits %s", subunits)
    log.debug("Edges %s", edges)
    return subunits, edges


class XlinksDict(dict):

    """
        Description of crosslinking restraints as a python
        dictionary.
        The keys are a pair with the ids of the cross-linked subunits.
        Note: The pairs are considered in alphabetic order
    """

    def add(self, xlink):
        """
            Add a xlink. It is ensured that the id of the first element is
            is lower that the second
        """
        if xlink.second_id < xlink.first_id:
            xlink.swap()
        key = (xlink.first_id, xlink.second_id)
        if key not in self.keys():
            self[key] = []
        self[key].append(xlink)

    def get_xlinks_for_pair(self, pair_ids):
        """
            @param pair_ids Ids fo the subunits that are cross-linked
        """
        try:
            xlinks_list = self[pair_ids]
            ys = [xl.clone() for xl in xlinks_list]

        except KeyError:
            try:
                xlinks_list = self[(pair_ids[1], pair_ids[0])]
                ys = [xl.clone() for xl in xlinks_list]
                # Ensure that the first element of the pair corresponds to the
                # first id in the xlink
                for y in ys:
                    y.swap()
            except KeyError as e:
                raise e
        return ys

        """
        try:
            return self[pair_ids]
        except KeyError:
            print pair_ids,"NOT FOUND, swapping to",(pair_ids[1], pair_ids[0])
            # If not found, invert the pair
            xlinks_list = self[(pair_ids[1], pair_ids[0])]
            # swap the xlinks, so the first element of the pair corresponds to the
            # first id in the xlink
            for xl in xlinks_list:
                xl.swap()
            for xl in xlinks_list:
                print xl.show()
            return xlinks_list
        """


class DockOrder (object):

    """
        Compute the order of the docking experiments. The order is derived
        from the cross-linking restraints:
        1) The subunit with the highest number of cross-links with others
           works as the first receptor (A)
        2) All the subunits cross-linked with A are docked into A.
        3) The next receptor (B) is the subunit that has the highest number of
            cross-links after A.
        4) All the subunits cross-linked to B are docked into B (except A)
        5) The procedure is repeated until there are no more cross-links
    """

    def __init__(self,):
        self.G = nx.Graph()

    def set_components_and_connections(self, subunits, edges):
        """
            Instead of setting the xlink restraints, init the graph directly
            Example of what to pass with the structure in 3sfd
            G.add_nodes_from(["A", "B", "C", "D"])
            G.add_edges_from([("B","C"), ("B","A"), ("B","D"), ("C","D")])
            ("B","C") means that there are cross-links between B and C
        """
        self.G.add_nodes_from(subunits)
        self.G.add_edges_from(edges)

    def set_xlinks(self, xlinks_dict):
        """
            Sets the xlinks used for computing the docking order
            @param xlinks_dict XlinksDict class
        """
        subunits, edges = build_xlinks_graph(xlinks_dict)
        self.set_components_and_connections(subunits, edges)

    def get_docking_order(self):
        """ return the order to dock components from the cross links """
        docking_pairs = []
        degs = self.G.degree(self.G.nodes())
        log.debug("Degrees: %s", degs)
        sorted_degrees = sorted([(v, k)
                                for v, k in zip(degs.values(), degs.keys())])
        sorted_degrees.reverse()  # descending order

        receptors_considered = []
        for degree, node in sorted_degrees:
            for n in self.G.neighbors(node):
                if not n in receptors_considered:
                    docking_pairs.append((node, n))
            receptors_considered.append(node)
        log.info("The suggested order for the docking pairs is %s",
                 docking_pairs)
        return docking_pairs


class InitialDockingFromXlinks:

    """
        Puts two subunits together using the Xlinkins restraints. The solutions
        offered by this class are just an initial position of the components
        to be fed to HEX
    """

    def clear_xlinks(self):
        self.xlinks_list = []

    def set_xlinks(self, xlinks_list):
        """
            Sets the xlinks used for the computation fo the initial rough
            docking solution
            @param xlinks_list A list of Xlink classes
            residue1 belongs to the receptor and residue2 belongs to the ligand
        """
        self.xlinks_list = xlinks_list

    def set_pdbs(self, fn_receptor, fn_ligand):
        """
            Set the name of the PDB files of the receptor and the ligand
            @param fn_receptor
            @param fn_ligand
        """
        sel = atom.ATOMPDBSelector()
        self.m_receptor = IMP.Model()
        self.h_receptor = atom.read_pdb(fn_receptor, self.m_receptor, sel)
        self.m_ligand = IMP.Model()
        self.h_ligand = atom.read_pdb(fn_ligand, self.m_ligand, sel)

    def set_hierarchies(self, h_receptor, h_ligand):
        """
            Set the hierarchies (atom.Hierarchy objects) for the receptor and
            the ligand
            @param h_receptor
            @param h_ligand
        """
        self.h_receptor = h_receptor
        self.h_ligand = h_ligand

    def set_rigid_bodies(self, rb_receptor, rb_ligand):
        """
            Sets the rigid bodies (core.RigidBody objects) for the receptor and
            the ligand
            @param rb_receptor
            @param rb_ligand
        """
        self.rb_receptor = rb_receptor
        self.rb_ligand = rb_ligand

    def move_ligand(self):
        """
            Movest the ligand close to the receptor based on the xlinks
            provided by set_xlinks()
        """
        log.debug("Moving ligand close to the receptor using the xlinks")
        n = len(self.xlinks_list)
        if n == 1:
            self.move_one_xlink()
        elif n >= 2:
            self.move_xlinks()

    def get_residue_particle(self, h, ch, res):
        """
            Get the particle representing a residue in a hierarchy
            @param h atom.Hierarchy containing the residue
            @param ch The chain id
            @param res index of the residue
        """
        s = IMP.atom.Selection(h, chain=ch, residue_index=res)
        return s.get_selected_particles()[0]

    def get_residue_coordinates(self, h, ch, res):
        """
            Get the coordinates for a residue in a molecular hierarchy
            @param h atom.Hierarchy object
            @param ch The chain id
            @param res Residue index
        """
        p = self.get_residue_particle(h, ch, res)
        return core.XYZ(p).get_coordinates()

    def write_ligand(self, fn):
        """
            Write a pdb file the coordinates of the ligand
            @param fn
        """
        atom.write_pdb(self.h_ligand, fn)

    def move_one_xlink(self):
        """
            Put the residues in a random distance between 0 and the maximum
            cross-linkin distance
        """
        xl = self.xlinks_list[0]
        center = self.get_residue_coordinates(self.h_receptor, xl.first_chain,
                                              xl.first_residue)
        sph = alg.Sphere3D(center, xl.distance)
        v = alg.get_random_vector_in(sph)
        ref = self.rb_ligand.get_reference_frame()
        coords = ref.get_transformation_to().get_translation()
        R = ref.get_transformation_to().get_rotation()
        lig = self.get_residue_coordinates(self.h_ligand, xl.second_chain,
                                           xl.second_residue)
        log.debug("Ligand residue before moving %s", lig)
        displacement = v - lig
        T = alg.Transformation3D(R, coords + displacement)
        self.rb_ligand.set_reference_frame(alg.ReferenceFrame3D(T))
        new_coords = self.get_residue_coordinates(
            self.h_ligand, xl.second_chain,
            xl.second_residue)
        log.debug("ligand after moving %s", new_coords)

    def move_xlinks(self, ):
        """
            Function equivalent to move_one_xlink() for the case where there
            are more than one cross-link restraints available.
            Puts the ligand residues as close as possible to the receptor
            residues
        """
        rec_coords = []
        lig_coords = []
        for xl in self.xlinks_list:
            c = self.get_residue_coordinates(self.h_receptor, xl.first_chain,
                                             xl.first_residue)
            rec_coords.append(c)
            c = self.get_residue_coordinates(self.h_ligand, xl.second_chain,
                                             xl.second_residue)
            lig_coords.append(c)
        log.debug("Receptor residues before moving %s", rec_coords)
        log.debug("Ligand residues before moving %s", lig_coords)
        ref = self.rb_ligand.get_reference_frame()
        Tr = alg.get_transformation_aligning_first_to_second(lig_coords,
                                                             rec_coords)
        T = ref.get_transformation_to()
        newT = alg.compose(Tr, T)
        self.rb_ligand.set_reference_frame(alg.ReferenceFrame3D(newT))

        moved_lig_coords = []
        for xl in self.xlinks_list:
            c = self.get_residue_coordinates(self.h_ligand, xl.second_chain,
                                             xl.second_residue)
            moved_lig_coords.append(c)
        log.debug("Ligand residues after moving %s", moved_lig_coords)