// $Id$
//
//  Copyright (C) 2003-2009 Greg Landrum and Rational Discovery LLC
//
//   @@ All Rights Reserved @@
//  This file is part of the RDKit.
//  The contents are covered by the terms of the BSD license
//  which is included in the file license.txt, found at the root
//  of the RDKit source tree.
//
#include <GraphMol/RDKitBase.h>

#include "Subgraphs.h"
#include "SubgraphUtils.h"

#include <RDGeneral/utils.h>
#include <RDGeneral/Exceptions.h>

#include <iostream>
#include <cstring>
#include <algorithm>
#include <boost/dynamic_bitset.hpp>

namespace RDKit {
namespace Subgraphs {
void getNbrsList(const ROMol &mol, bool useHs, INT_INT_VECT_MAP &nbrs) {
  nbrs.clear();
  int nAtoms = mol.getNumAtoms();

  // create a list of neighbors for each bond
  // The python version (subgraph.py) did not take care of atoms being
  // hydrogens (and if a user would like to ignore them)
  // a list of list of bonds is no longer appropriate here
  // some bond IDs may be missing to index the list on.
  // so using an associative container.

  for (int i = 0; i < nAtoms; i++) {
    const Atom *atom = mol.getAtomWithIdx(i);
    // if are at a hydrogen and we are not interested in bonds connecting to
    // them
    // move on
    if (useHs || atom->getAtomicNum() != 1) {
      ROMol::OEDGE_ITER bIt1, end;
      boost::tie(bIt1, end) = mol.getAtomBonds(atom);
      while (bIt1 != end) {
        const Bond* bond1 = mol[*bIt1];
        // if this bond connect to a hydrogen and we are not interested
        // in it ignore
        if (useHs || bond1->getOtherAtom(atom)->getAtomicNum() != 1) {
          int bid1 = bond1->getIdx();
          if (nbrs.find(bid1) == nbrs.end()) {
            INT_VECT nlst;
            nbrs[bid1] = nlst;
          }
          ROMol::OEDGE_ITER bIt2 = mol.getAtomBonds(atom).first;
          while (bIt2 != end) {
            const Bond* bond2 = mol[*bIt2];
            int bid2 = bond2->getIdx();
            if (bid1 != bid2 &&
                (useHs || bond2->getOtherAtom(atom)->getAtomicNum() != 1)) {
              nbrs[bid1].push_back(bid2);  // FIX: pathListType should probably
                                           // be container of pointers ??
            }
            ++bIt2;
          }
        }
        ++bIt1;
      }
    }
  }
}

// Everything passed here by reference
void recurseWalk(
    INT_INT_VECT_MAP &nbrs,  // neighbors for each bond
    PATH_TYPE &spath,        // the current path to be build upon
    INT_VECT &cands,         // neighbors of current path
    unsigned int targetLen,  // the maximum subgraph len we are interested in
    boost::dynamic_bitset<> forbidden,  // bonds that have been covered already
    // we don't want reference passing for forbidden,
    // it gets altered through the processand we want
    // fresh start everytime we buble back up to "FindAllSubGraphs"
    PATH_LIST &res  // the final list of subgraphs
    ) {
  // end case for recursion
  if (spath.size() == targetLen) {
    res.push_back(spath);
    return;
  }

  // if the path is already bigger than target length don't do anything
  if (spath.size() > targetLen) {
    return;
  }

  // we  have the cndidates that can be used to add to the existing path
  // try extending the subgraphs
  while (cands.size() != 0) {
    int next = cands.back();  // start with the last one in the candidate list
    cands.pop_back();
    // cands.erase(remove(cands.begin(), cands.end(), next), cands.end());
    if (!forbidden[next]) {
      // this bond should not appear in the later subgraphs
      forbidden[next] = 1;

      // update a local stack before the next recursive call
      INT_VECT tstack = cands;
      for (int &bid : nbrs[next]) {
        if (!forbidden[bid]) {
          tstack.push_back(bid);
        }
      }

      PATH_TYPE tpath = spath;
      tpath.push_back(next);

      recurseWalk(nbrs, tpath, tstack, targetLen, forbidden, res);
    }
  }
}

// Everything passed here by reference
void recurseWalkRange(
    INT_INT_VECT_MAP &nbrs,  // neighbors for each bond
    PATH_TYPE &spath,        // the current path to be build upon
    INT_VECT &cands,         // neighbors of current path
    unsigned int
        lowerLen,  // lower limit of the subgraph lengths we are interested in
    unsigned int upperLen,  // the maximum subgraph len we are interested in
    boost::dynamic_bitset<> forbidden,  // bonds that have been covered already
    // we don't want reference passing for forbidden,
    // it gets altered through the processand we want
    // fresh start everytime we buble back up to "FindAllSubGraphs"
    INT_PATH_LIST_MAP &res  // the final list of subgraphs
    ) {
  unsigned int nsize = spath.size();
  if ((nsize >= lowerLen) && (nsize <= upperLen)) {
    // if (res.find(nsize) == res.end()) {
    //  PATH_LIST ordern;
    //  res[nsize] = ordern;
    //}
    res[nsize].push_back(spath);
  }

  // end case for recursion
  if (nsize == upperLen) {
    return;
  }

  // if the path is already bigger than desired size
  if (nsize > upperLen) {
    return;
  }

  // we  have the cndidates that can be used to add to the existing path
  // try extending the subgraphs
  while (cands.size() != 0) {
    int next = cands.back();  // start with the last one in the candidate list
    cands.pop_back();
    // cands.erase(remove(cands.begin(), cands.end(), next), cands.end());
    if (!forbidden[next]) {
      // this bond should not appear in the later subgraphs
      forbidden[next] = 1;

      // update a local stack before the next recursive call
      INT_VECT tstack = cands;
      for (int &bid : nbrs[next]) {
        if (!forbidden[bid]) {
          tstack.push_back(bid);
        }
      }

      PATH_TYPE tpath = spath;
      tpath.push_back(next);

      recurseWalkRange(nbrs, tpath, tstack, lowerLen, upperLen, forbidden, res);
    }
  }
}

void dumpVIV(VECT_INT_VECT v) {
  VECT_INT_VECT::iterator i;
  INT_VECT::iterator j;
  for (i = v.begin(); i != v.end(); i++) {
    for (j = i->begin(); j != i->end(); j++) {
      std::cout << *j << " ";
    }
    std::cout << std::endl;
  }
}

PATH_LIST
extendPaths(int *adjMat, unsigned int dim, const PATH_LIST &paths,
            int allowRingClosures = -1) {
  PRECONDITION(adjMat, "no matrix");
  //
  //  extend each of the currently active paths by adding
  //   a single adjacent index to the end of each
  //
  PATH_LIST res;
  PATH_LIST::const_iterator path;
  for (path = paths.begin(); path != paths.end(); path++) {
    unsigned int endIdx = (*path)[path->size() - 1];
    unsigned int iTab = endIdx * dim;
    for (unsigned int otherIdx = 0; otherIdx < dim; otherIdx++) {
      if (adjMat[iTab + otherIdx] == 1) {
        // test 1: make sure the new atom is not already
        //   in the path
        PATH_TYPE::const_iterator loc;
        loc = std::find(path->begin(), path->end(), static_cast<int>(otherIdx));
        // The two conditions for adding the atom are:
        //   1) it's not there already
        //   2) it's there, but ring closures are allowed and this
        //      will be the last addition to the path.
        if (loc == path->end()) {
          // the easy case
          // PATH_TYPE newPath=*path;
          // newPath.push_back(otherIdx);
          // res.push_back(newPath);
          res.push_back(*path);
          res.rbegin()->push_back(otherIdx);
        } else if (allowRingClosures > 2 &&
                   static_cast<int>(path->size()) == allowRingClosures - 1) {
          // We *might* be adding the atom, but we need to make sure
          // that we're not just duplicating the second to last
          // element of the path:
          auto rIt = path->rbegin();
          rIt++;
          if (*rIt != static_cast<int>(otherIdx)) {
            // PATH_TYPE newPath=*path;
            // newPath.push_back(otherIdx);
            // res.push_back(newPath);
            res.push_back(*path);
            res.rbegin()->push_back(otherIdx);
          }
        }
      }
    }
  }
  return res;
}

INT_PATH_LIST_MAP
pathFinderHelper(int *adjMat, unsigned int dim, unsigned int minLen,
                 unsigned int maxLen, int rootedAtAtom) {
  PRECONDITION(adjMat, "no matrix");
  PRECONDITION(minLen <= maxLen, "bad lengths provided");
  // finds all paths of length N using an adjacency matrix,
  //  which is constructed elsewhere
  INT_PATH_LIST_MAP res;
  PATH_LIST paths;
  paths.clear();

  if (rootedAtAtom < 0) {
    // start a path at each possible index
    for (unsigned int i = 0; i < dim; i++) {
      PATH_TYPE tPath;
      tPath.push_back(i);
      paths.push_back(tPath);
    }
  } else if (rootedAtAtom < static_cast<int>(dim)) {
    // only start a path at the atom of interest:
    PATH_TYPE tPath;
    tPath.push_back(rootedAtAtom);
    paths.push_back(tPath);
  } else {
    return res;
  }

  // and build them up one index at a time:
  for (unsigned int length = 1; length < maxLen; length++) {
    // extend each path:
    if (length >= minLen) res[length] = paths;
    paths = extendPaths(adjMat, dim, paths, maxLen);
  }
  res[maxLen] = paths;

  return res;
}
}  // end of Subgraphs namespace

PATH_LIST findAllSubgraphsOfLengthN(const ROMol &mol, unsigned int targetLen,
                                    bool useHs, int rootedAtAtom) {
  /*********************************************
    FIX: Lots of issues here:
    - pathListType is defined as a container of "pathType", should it be a
  container
    of "pointers to pathtype"
    - to make few things clear it might be useful to typdef a "subgraphListType"
    even if it is exactly same as the "pathListType", just to not confuse
  between
    path vs. subgraph definitions
    - To make it consistent with the python version of this function in
  "subgraph.py"
    it return a "list of paths" instead of a "list of list of paths" (see
    "GetPathsUpTolength" in "molgraphs.cpp")
  ****************************************************************************/
  boost::dynamic_bitset<> forbidden(mol.getNumBonds());

  // this should be the only dependence on mol object:
  INT_INT_VECT_MAP nbrs;
  Subgraphs::getNbrsList(mol, useHs, nbrs);

  // Start path at each bond
  PATH_LIST res;

  // start paths at each bond:
  for (auto nbi = nbrs.begin(); nbi != nbrs.end(); ++nbi) {
    // don't come back to this bond in the later subgraphs
    int i = (*nbi).first;

    // if we're only returning paths rooted at a particular atom, check now
    // that this bond involves that atom:
    if (rootedAtAtom >= 0 &&
        mol.getBondWithIdx(i)->getBeginAtomIdx() !=
            static_cast<unsigned int>(rootedAtAtom) &&
        mol.getBondWithIdx(i)->getEndAtomIdx() !=
            static_cast<unsigned int>(rootedAtAtom)) {
      continue;
    }

    if (forbidden[i]) {
      continue;
    }
    forbidden[i] = 1;

    // start the recursive path building with the current bond
    PATH_TYPE spath;
    spath.clear();
    spath.push_back(i);

    // neighbors of this bond are the next candidates
    INT_VECT cands = nbrs[i];

    // now call the recursive function
    // little bit different from the python version
    // the result list of paths is passed as a reference, instead of on the fly
    // appending
    Subgraphs::recurseWalk(nbrs, spath, cands, targetLen, forbidden, res);
  }
  nbrs.clear();
  return res;
}

INT_PATH_LIST_MAP findAllSubgraphsOfLengthsMtoN(const ROMol &mol,
                                                unsigned int lowerLen,
                                                unsigned int upperLen,
                                                bool useHs, int rootedAtAtom) {
  PRECONDITION(lowerLen <= upperLen, "");
  boost::dynamic_bitset<> forbidden(mol.getNumBonds());

  INT_INT_VECT_MAP nbrs;
  Subgraphs::getNbrsList(mol, useHs, nbrs);

  // Start path at each bond
  INT_PATH_LIST_MAP res;
  for (unsigned int idx = lowerLen; idx <= upperLen; idx++) {
    PATH_LIST ordern;
    res[idx] = ordern;
  }

  // start paths at each bond:
  for (auto nbi = nbrs.begin(); nbi != nbrs.end(); nbi++) {
    int i = (*nbi).first;

    // if we're only returning paths rooted at a particular atom, check now
    // that this bond involves that atom:
    if (rootedAtAtom >= 0 &&
        mol.getBondWithIdx(i)->getBeginAtomIdx() !=
            static_cast<unsigned int>(rootedAtAtom) &&
        mol.getBondWithIdx(i)->getEndAtomIdx() !=
            static_cast<unsigned int>(rootedAtAtom)) {
      continue;
    }

    // don't come back to this bond in the later subgraphs
    if (forbidden[i]) {
      continue;
    }
    forbidden[i] = 1;

    // start the recursive path building with the current bond
    PATH_TYPE spath;
    spath.clear();
    spath.push_back(i);

    // neighbors of this bond are the next candidates
    INT_VECT cands = nbrs[i];

    // now call the recursive function
    // little bit different from the python version
    // the result list of paths is passed as a reference, instead of on the fly
    // appending
    Subgraphs::recurseWalkRange(nbrs, spath, cands, lowerLen, upperLen,
                                forbidden, res);
  }
  nbrs.clear();
  return res;  // FIX : need some verbose testing code here
}

PATH_LIST findUniqueSubgraphsOfLengthN(const ROMol &mol, unsigned int targetLen,
                                       bool useHs, bool useBO,
                                       int rootedAtAtom) {
  // start by finding all subgraphs, then uniquify
  PATH_LIST allSubgraphs =
      findAllSubgraphsOfLengthN(mol, targetLen, useHs, rootedAtAtom);
  PATH_LIST res = Subgraphs::uniquifyPaths(mol, allSubgraphs, useBO);
  return res;
}

// ----------------------------------------------
//
//  You may find yourself wondering: "what's the difference between
//  a subgraph and path?"  Well, let me tell you: there's a big
//  diffference!
//
//  Subgraphs are potentially branched, whereas paths (in our
//  terminology at least) cannot be.  So, the following graph:
//
//            C--0--C--1--C--3--C
//                  |
//                  2
//                  |
//                  C
//  has 3 subgraphs of length 3: (0,1,2),(0,1,3),(2,1,3)
//  but only 2 paths of length 3: (0,1,3),(2,1,3)
//
//
// ----------------------------------------------
//
//  Args:
//
//    adjMat: the adjacency matrix
//    dim: number of rows in the adjacency matrix
//    paths: paths to be extended
//    allowRingClosures: if > 2, paths will be allowed where the final
//        point is a duplicate (closes rings).  In this case,
//        allowRingClosures should equal the target path length.
//
INT_PATH_LIST_MAP
findAllPathsOfLengthsMtoN(const ROMol &mol, unsigned int lowerLen,
                          unsigned int upperLen, bool useBonds, bool useHs,
                          int rootedAtAtom) {
  //
  //  We can't be clever here and just use the bond adjacency matrix
  //  to solve this problem when useBonds is true.  This is because
  //  the bond adjacency matrices for the molecules C1CC1 and CC(C)C
  //  are indistinguishable.  In the second case, t-butane (and
  //  anything else with a T junction), we'll get some subgraphs mixed
  //  in with the paths.  So we have to construct paths of atoms and
  //  then convert them into bond paths.
  //
  PRECONDITION(lowerLen <= upperLen, "");

  int *adjMat, dim;
  dim = mol.getNumAtoms();
  adjMat = new int[dim * dim];
  memset((void *)adjMat, 0, dim * dim * sizeof(int));

  // generate the adjacency matrix by hand by looping over the bonds
  ROMol::ConstBondIterator bondIt;
  for (bondIt = mol.beginBonds(); bondIt != mol.endBonds(); bondIt++) {
    Atom *beg = (*bondIt)->getBeginAtom();
    Atom *end = (*bondIt)->getEndAtom();
    // check for H, which we might be skipping
    if (useHs || (beg->getAtomicNum() != 1 && end->getAtomicNum() != 1)) {
      adjMat[beg->getIdx() * dim + end->getIdx()] = 1;
      adjMat[end->getIdx() * dim + beg->getIdx()] = 1;
    }
  }

  // if we're using bonds, we'll need to find paths of length N+1,
  // then convert them
  if (useBonds) {
    ++lowerLen;
    ++upperLen;
  }

  // find the paths themselves
  INT_PATH_LIST_MAP atomPaths = Subgraphs::pathFinderHelper(
      adjMat, dim, lowerLen, upperLen, rootedAtAtom);

  // clean up the adjacency matrix
  delete[] adjMat;

  INT_PATH_LIST_MAP res;

  //
  //--------------------------------------------------------
  // loop through all the paths we have and make sure that there are
  // no duplicates (duplicate = contains identical bond indices)
  //
  //  We need to use the bond paths for this duplicate finding
  //  because, in rings, there can be many paths which share atom
  //  indices but which have different bond compositions. For example,
  //  there is only one "atom unique" path of length 5 bonds (6 atoms)
  //  through a 6-ring, but there are six bond paths.
  //
  if (!useBonds && lowerLen >= 1) {
    res[1] = atomPaths[1];
  }
  if (useBonds || upperLen > 1) {
    for (unsigned int i = lowerLen; i <= upperLen; ++i) {
      if (i <= 1) {
        continue;
      }

      std::vector<boost::dynamic_bitset<> > invars;

      for (PATH_LIST::const_iterator vivI = atomPaths[i].begin();
           vivI != atomPaths[i].end(); ++vivI) {
        boost::dynamic_bitset<> invar(mol.getNumBonds());
        const PATH_TYPE &resi = *vivI;
        PATH_TYPE locV;
        locV.reserve(i);
        for (unsigned int j = 0; j < i - 1; j++) {
          const Bond *bond = mol.getBondBetweenAtoms(resi[j], resi[j + 1]);
          locV.push_back(bond->getIdx());
          invar.set(bond->getIdx());
        }
        if (std::find(invars.begin(), invars.end(), invar) == invars.end()) {
          invars.push_back(invar);
          if (useBonds) {
            res[i - 1].push_back(locV);
          } else {
            res[i].push_back(resi);
          }
        }
      }
    }
  }
  return res;
}
PATH_LIST
findAllPathsOfLengthN(const ROMol &mol, unsigned int targetLen, bool useBonds,
                      bool useHs, int rootedAtAtom) {
  return findAllPathsOfLengthsMtoN(mol, targetLen, targetLen, useBonds, useHs,
                                   rootedAtAtom)[targetLen];
}

PATH_TYPE findAtomEnvironmentOfRadiusN(const ROMol &mol, unsigned int radius,
                                       unsigned int rootedAtAtom, bool useHs) {
  if (rootedAtAtom >= mol.getNumAtoms())
    throw ValueErrorException("bad atom index");

  PATH_TYPE res;
  std::list<std::pair<int, int> > nbrStack;
  ROMol::OEDGE_ITER beg, end;
  boost::tie(beg, end) = mol.getAtomBonds(mol.getAtomWithIdx(rootedAtAtom));
  while (beg != end) {
    const Bond* bond = mol[*beg];
    if (useHs ||
        mol.getAtomWithIdx(bond->getOtherAtomIdx(rootedAtAtom))
                ->getAtomicNum() != 1) {
      nbrStack.push_back(std::make_pair(rootedAtAtom, bond->getIdx()));
    }
    ++beg;
  }
  boost::dynamic_bitset<> bondsIn(mol.getNumBonds());
  unsigned int i;
  for (i = 0; i < radius; ++i) {
    if (nbrStack.empty()) {
      break;
    }

    std::list<std::pair<int, int> > nextLayer;
    while (!nbrStack.empty()) {
      int bondIdx, startAtom;
      boost::tie(startAtom, bondIdx) = nbrStack.front();
      nbrStack.pop_front();
      if (!bondsIn.test(bondIdx)) {
        bondsIn.set(bondIdx);
        res.push_back(bondIdx);

        // add the next set of neighbors:
        int oAtom = mol.getBondWithIdx(bondIdx)->getOtherAtomIdx(startAtom);
        boost::tie(beg, end) = mol.getAtomBonds(mol.getAtomWithIdx(oAtom));
        while (beg != end) {
          const Bond* bond = mol[*beg];
          if (!bondsIn.test(bond->getIdx())) {
            if (useHs ||
                mol.getAtomWithIdx(bond->getOtherAtomIdx(oAtom))
                        ->getAtomicNum() != 1) {
              nextLayer.push_back(std::make_pair(oAtom, bond->getIdx()));
            }
          }
          ++beg;
        }
      }
    }
    nbrStack = nextLayer;
  }
  if (i != radius) {
    // this happens when there are no paths with the requested radius.
    // return nothing in this case:
    res.clear();
    res.resize(0);
  }

  return res;
}

}  // end of RDKit namespace