madarasip@1186: /* -*- mode: C++; indent-tabs-mode: nil; -*- madarasip@1186: * madarasip@1186: * This file is a part of LEMON, a generic C++ optimization library. madarasip@1186: * madarasip@1186: * Copyright (C) 2015-2017 madarasip@1186: * EMAXA Kutato-fejleszto Kft. (EMAXA Research Ltd.) madarasip@1186: * madarasip@1186: * Permission to use, modify and distribute this software is granted madarasip@1186: * provided that this copyright notice appears in all copies. For madarasip@1186: * precise terms see the accompanying LICENSE file. madarasip@1186: * madarasip@1186: * This software is provided "AS IS" with no warranty of any kind, madarasip@1186: * express or implied, and with no claim as to its suitability for any madarasip@1186: * purpose. madarasip@1186: * madarasip@1186: */ madarasip@1186: madarasip@1186: #ifndef LEMON_VF2PP_H madarasip@1186: #define LEMON_VF2PP_H madarasip@1186: madarasip@1186: ///\ingroup graph_properties madarasip@1186: ///\file madarasip@1186: ///\brief VF2 Plus Plus algorithm. madarasip@1186: madarasip@1186: #include madarasip@1186: #include madarasip@1186: #include madarasip@1186: #include madarasip@1186: #include madarasip@1186: madarasip@1186: #include madarasip@1186: #include madarasip@1186: #include madarasip@1186: madarasip@1186: namespace lemon { madarasip@1186: namespace bits { madarasip@1186: namespace vf2pp { madarasip@1186: madarasip@1186: template madarasip@1186: class DfsLeaveOrder : public DfsVisitor { madarasip@1186: int i; madarasip@1186: const G &_g; madarasip@1186: std::vector &_order; madarasip@1186: public: madarasip@1186: DfsLeaveOrder(const G &g, std::vector &order) madarasip@1186: : i(countNodes(g)), _g(g), _order(order) { madarasip@1186: } madarasip@1186: void leave(const typename G::Node &node) { madarasip@1186: _order[--i]=node; madarasip@1186: } madarasip@1186: }; madarasip@1186: madarasip@1186: template madarasip@1186: class BfsLeaveOrder : public BfsVisitor { madarasip@1186: int i; madarasip@1186: const G &_g; madarasip@1186: std::vector &_order; madarasip@1186: public: madarasip@1186: BfsLeaveOrder(const G &g, std::vector &order) { } madarasip@1186: void process(const typename G::Node &node) { madarasip@1186: _order[i++]=node; madarasip@1186: } madarasip@1186: }; madarasip@1186: } madarasip@1186: } madarasip@1186: madarasip@1186: madarasip@1186: ///%VF2 Plus Plus algorithm class. madarasip@1186: madarasip@1186: ///\ingroup graph_isomorphism This class provides an efficient madarasip@1186: ///implementation of the %VF2 Plus Plus algorithm madarasip@1186: ///for variants of the (Sub)graph Isomorphism problem. madarasip@1186: /// madarasip@1186: ///There is also a \ref vf2pp() "function-type interface" called madarasip@1186: ///\ref vf2pp() for the %VF2 Plus Plus algorithm, which is probably kpeter@1188: ///more convenient in most use cases. madarasip@1186: /// madarasip@1186: ///\tparam G1 The type of the graph to be embedded. madarasip@1186: ///The default type is \ref ListDigraph. madarasip@1186: ///\tparam G2 The type of the graph g1 will be embedded into. madarasip@1186: ///The default type is \ref ListDigraph. madarasip@1186: ///\tparam M The type of the NodeMap storing the mapping. madarasip@1186: ///By default, it is G1::NodeMap madarasip@1186: ///\tparam M1 The type of the NodeMap storing the integer node labels of G1. madarasip@1186: ///The labels must be the numbers {0,1,2,..,K-1}, where K is the number of madarasip@1186: ///different labels. By default, it is G1::NodeMap. madarasip@1186: ///\tparam M2 The type of the NodeMap storing the integer node labels of G2. madarasip@1186: ///The labels must be the numbers {0,1,2,..,K-1}, where K is the number of madarasip@1186: ///different labels. By default, it is G2::NodeMap. madarasip@1186: /// madarasip@1186: ///\sa vf2pp() madarasip@1186: #ifdef DOXYGEN madarasip@1186: template madarasip@1186: #else madarasip@1186: template, madarasip@1186: class M1 = typename G1::template NodeMap, madarasip@1186: class M2 = typename G2::template NodeMap > madarasip@1186: #endif madarasip@1186: class Vf2pp { kpeter@1188: //The graph to be embedded madarasip@1186: const G1 &_g1; madarasip@1186: kpeter@1188: //The graph into which g1 is to be embedded madarasip@1186: const G2 &_g2; madarasip@1186: kpeter@1189: //Current depth in the search tree. kpeter@1189: int _depth; kpeter@1189: kpeter@1189: //The current mapping. _mapping[v1]=v2 iff v1 has been mapped to v2, kpeter@1189: //where v1 is a node of G1 and v2 is a node of G2 kpeter@1189: M &_mapping; kpeter@1189: kpeter@1189: //_order[i] is a node of g1 for which a pair is searched if depth=i kpeter@1189: std::vector _order; kpeter@1189: kpeter@1189: //_conn[v2] = number of covered neighbours of v2 kpeter@1189: typename G2::template NodeMap _conn; kpeter@1189: kpeter@1189: //_currEdgeIts[i] is the last used edge iterator in the i-th kpeter@1189: //depth to find a pair for node _order[i] kpeter@1189: std::vector _currEdgeIts; kpeter@1189: kpeter@1189: //_rNewLabels1[v] is a pair of form madarasip@1186: //(label; num. of uncov. nodes with such label and no covered neighbours) madarasip@1186: typename G1::template NodeMap > > kpeter@1189: _rNewLabels1; madarasip@1186: kpeter@1189: //_rInOutLabels1[v] is the number of covered neighbours of v for each label madarasip@1186: //in form (label,number of such labels) madarasip@1186: typename G1::template NodeMap > > kpeter@1189: _rInOutLabels1; madarasip@1186: kpeter@1188: //_intLabels1[v]==i means that node v has label i in _g1 kpeter@1188: //(i is in {0,1,2,..,K-1}, where K is the number of diff. labels) madarasip@1186: M1 &_intLabels1; madarasip@1186: kpeter@1188: //_intLabels2[v]==i means that node v has label i in _g2 kpeter@1188: //(i is in {0,1,2,..,K-1}, where K is the number of diff. labels) madarasip@1186: M2 &_intLabels2; madarasip@1186: madarasip@1186: //largest label kpeter@1189: const int _maxLabel; madarasip@1186: madarasip@1186: //lookup tables for manipulating with label class cardinalities kpeter@1188: //(after use they have to be reset to 0..0) kpeter@1189: std::vector _labelTmp1,_labelTmp2; madarasip@1186: madarasip@1186: MappingType _mapping_type; madarasip@1186: kpeter@1188: //indicates whether the mapping or the labels must be deleted in the destructor madarasip@1186: bool _deallocMappingAfterUse,_deallocLabelsAfterUse; madarasip@1186: madarasip@1186: madarasip@1186: //improved cutting function madarasip@1186: template madarasip@1186: bool cutByLabels(const typename G1::Node n1,const typename G2::Node n2) { madarasip@1186: for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2) { madarasip@1186: const typename G2::Node currNode=_g2.oppositeNode(n2,e2); madarasip@1186: if(_conn[currNode]>0) kpeter@1189: --_labelTmp1[_intLabels2[currNode]]; madarasip@1186: else if(MT!=SUBGRAPH&&_conn[currNode]==0) kpeter@1189: --_labelTmp2[_intLabels2[currNode]]; madarasip@1186: } madarasip@1186: madarasip@1186: bool ret=1; madarasip@1186: if(ret) { kpeter@1189: for(unsigned int i = 0; i < _rInOutLabels1[n1].size(); ++i) kpeter@1189: _labelTmp1[_rInOutLabels1[n1][i].first]+=_rInOutLabels1[n1][i].second; madarasip@1186: madarasip@1186: if(MT!=SUBGRAPH) kpeter@1189: for(unsigned int i = 0; i < _rNewLabels1[n1].size(); ++i) kpeter@1189: _labelTmp2[_rNewLabels1[n1][i].first]+=_rNewLabels1[n1][i].second; madarasip@1186: madarasip@1186: switch(MT) { madarasip@1186: case INDUCED: kpeter@1189: for(unsigned int i = 0; i < _rInOutLabels1[n1].size(); ++i) kpeter@1189: if(_labelTmp1[_rInOutLabels1[n1][i].first]>0) { madarasip@1186: ret=0; madarasip@1186: break; madarasip@1186: } madarasip@1186: if(ret) kpeter@1189: for(unsigned int i = 0; i < _rNewLabels1[n1].size(); ++i) kpeter@1189: if(_labelTmp2[_rNewLabels1[n1][i].first]>0) { madarasip@1186: ret=0; madarasip@1186: break; madarasip@1186: } madarasip@1186: break; madarasip@1186: case SUBGRAPH: kpeter@1189: for(unsigned int i = 0; i < _rInOutLabels1[n1].size(); ++i) kpeter@1189: if(_labelTmp1[_rInOutLabels1[n1][i].first]>0) { madarasip@1186: ret=0; madarasip@1186: break; madarasip@1186: } madarasip@1186: break; madarasip@1186: case ISOMORPH: kpeter@1189: for(unsigned int i = 0; i < _rInOutLabels1[n1].size(); ++i) kpeter@1189: if(_labelTmp1[_rInOutLabels1[n1][i].first]!=0) { madarasip@1186: ret=0; madarasip@1186: break; madarasip@1186: } madarasip@1186: if(ret) kpeter@1189: for(unsigned int i = 0; i < _rNewLabels1[n1].size(); ++i) kpeter@1189: if(_labelTmp2[_rNewLabels1[n1][i].first]!=0) { madarasip@1186: ret=0; madarasip@1186: break; madarasip@1186: } madarasip@1186: break; madarasip@1186: default: madarasip@1186: return false; madarasip@1186: } kpeter@1189: for(unsigned int i = 0; i < _rInOutLabels1[n1].size(); ++i) kpeter@1189: _labelTmp1[_rInOutLabels1[n1][i].first]=0; madarasip@1186: madarasip@1186: if(MT!=SUBGRAPH) kpeter@1189: for(unsigned int i = 0; i < _rNewLabels1[n1].size(); ++i) kpeter@1189: _labelTmp2[_rNewLabels1[n1][i].first]=0; madarasip@1186: } madarasip@1186: madarasip@1186: for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2) { madarasip@1186: const typename G2::Node currNode=_g2.oppositeNode(n2,e2); kpeter@1189: _labelTmp1[_intLabels2[currNode]]=0; madarasip@1186: if(MT!=SUBGRAPH&&_conn[currNode]==0) kpeter@1189: _labelTmp2[_intLabels2[currNode]]=0; madarasip@1186: } madarasip@1186: madarasip@1186: return ret; madarasip@1186: } madarasip@1186: madarasip@1186: madarasip@1186: //try to exclude the matching of n1 and n2 madarasip@1186: template madarasip@1186: bool feas(const typename G1::Node n1,const typename G2::Node n2) { madarasip@1186: if(_intLabels1[n1]!=_intLabels2[n2]) madarasip@1186: return 0; madarasip@1186: madarasip@1186: for(typename G1::IncEdgeIt e1(_g1,n1); e1!=INVALID; ++e1) { madarasip@1186: const typename G1::Node& currNode=_g1.oppositeNode(n1,e1); madarasip@1186: if(_mapping[currNode]!=INVALID) madarasip@1186: --_conn[_mapping[currNode]]; madarasip@1186: } madarasip@1186: madarasip@1186: bool isIso=1; madarasip@1186: for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2) { madarasip@1186: int& connCurrNode = _conn[_g2.oppositeNode(n2,e2)]; madarasip@1186: if(connCurrNode<-1) madarasip@1186: ++connCurrNode; madarasip@1186: else if(MT!=SUBGRAPH&&connCurrNode==-1) { madarasip@1186: isIso=0; madarasip@1186: break; madarasip@1186: } madarasip@1186: } madarasip@1186: madarasip@1186: if(isIso) madarasip@1186: for(typename G1::IncEdgeIt e1(_g1,n1); e1!=INVALID; ++e1) { madarasip@1186: const typename G2::Node& currNodePair = madarasip@1186: _mapping[_g1.oppositeNode(n1,e1)]; madarasip@1186: int& connCurrNodePair=_conn[currNodePair]; madarasip@1186: if(currNodePair!=INVALID&&connCurrNodePair!=-1) { madarasip@1186: switch(MT){ madarasip@1186: case INDUCED: madarasip@1186: case ISOMORPH: madarasip@1186: isIso=0; madarasip@1186: break; madarasip@1186: case SUBGRAPH: madarasip@1186: if(connCurrNodePair<-1) madarasip@1186: isIso=0; madarasip@1186: break; madarasip@1186: } madarasip@1186: connCurrNodePair=-1; madarasip@1186: } madarasip@1186: } madarasip@1186: else madarasip@1186: for(typename G1::IncEdgeIt e1(_g1,n1); e1!=INVALID; ++e1) { madarasip@1186: const typename G2::Node currNode=_mapping[_g1.oppositeNode(n1,e1)]; madarasip@1186: if(currNode!=INVALID/*&&_conn[currNode]!=-1*/) madarasip@1186: _conn[currNode]=-1; madarasip@1186: } madarasip@1186: madarasip@1186: return isIso&&cutByLabels(n1,n2); madarasip@1186: } madarasip@1186: kpeter@1188: //maps n1 to n2 madarasip@1186: void addPair(const typename G1::Node n1,const typename G2::Node n2) { madarasip@1186: _conn[n2]=-1; madarasip@1186: _mapping.set(n1,n2); madarasip@1186: for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2) { madarasip@1186: int& currConn = _conn[_g2.oppositeNode(n2,e2)]; madarasip@1186: if(currConn!=-1) madarasip@1186: ++currConn; madarasip@1186: } madarasip@1186: } madarasip@1186: kpeter@1188: //removes mapping of n1 to n2 madarasip@1186: void subPair(const typename G1::Node n1,const typename G2::Node n2) { madarasip@1186: _conn[n2]=0; madarasip@1186: _mapping.set(n1,INVALID); madarasip@1186: for(typename G2::IncEdgeIt e2(_g2,n2); e2!=INVALID; ++e2){ madarasip@1186: int& currConn = _conn[_g2.oppositeNode(n2,e2)]; madarasip@1186: if(currConn>0) madarasip@1186: --currConn; madarasip@1186: else if(currConn==-1) madarasip@1186: ++_conn[n2]; madarasip@1186: } madarasip@1186: } madarasip@1186: madarasip@1186: void processBFSLevel(typename G1::Node source,unsigned int& orderIndex, madarasip@1186: typename G1::template NodeMap& dm1, madarasip@1186: typename G1::template NodeMap& added) { kpeter@1189: _order[orderIndex]=source; madarasip@1186: added[source]=1; madarasip@1186: madarasip@1186: unsigned int endPosOfLevel=orderIndex, madarasip@1186: startPosOfLevel=orderIndex, madarasip@1186: lastAdded=orderIndex; madarasip@1186: madarasip@1186: typename G1::template NodeMap currConn(_g1,0); madarasip@1186: madarasip@1186: while(orderIndex<=lastAdded){ kpeter@1189: typename G1::Node currNode = _order[orderIndex]; madarasip@1186: for(typename G1::IncEdgeIt e(_g1,currNode); e!=INVALID; ++e) { madarasip@1186: typename G1::Node n = _g1.oppositeNode(currNode,e); madarasip@1186: if(!added[n]) { kpeter@1189: _order[++lastAdded]=n; madarasip@1186: added[n]=1; madarasip@1186: } madarasip@1186: } madarasip@1186: if(orderIndex>endPosOfLevel){ madarasip@1186: for(unsigned int j = startPosOfLevel; j <= endPosOfLevel; ++j) { madarasip@1186: int minInd=j; madarasip@1186: for(unsigned int i = j+1; i <= endPosOfLevel; ++i) kpeter@1189: if(currConn[_order[i]]>currConn[_order[minInd]]|| kpeter@1189: (currConn[_order[i]]==currConn[_order[minInd]]&& kpeter@1189: (dm1[_order[i]]>dm1[_order[minInd]]|| kpeter@1189: (dm1[_order[i]]==dm1[_order[minInd]]&& kpeter@1189: _labelTmp1[_intLabels1[_order[minInd]]]> kpeter@1189: _labelTmp1[_intLabels1[_order[i]]])))) madarasip@1186: minInd=i; madarasip@1186: kpeter@1189: --_labelTmp1[_intLabels1[_order[minInd]]]; kpeter@1189: for(typename G1::IncEdgeIt e(_g1,_order[minInd]); e!=INVALID; ++e) kpeter@1189: ++currConn[_g1.oppositeNode(_order[minInd],e)]; kpeter@1189: std::swap(_order[j],_order[minInd]); madarasip@1186: } madarasip@1186: startPosOfLevel=endPosOfLevel+1; madarasip@1186: endPosOfLevel=lastAdded; madarasip@1186: } madarasip@1186: ++orderIndex; madarasip@1186: } madarasip@1186: } madarasip@1186: madarasip@1186: madarasip@1186: //we will find pairs for the nodes of g1 in this order madarasip@1186: void setOrder(){ madarasip@1186: for(typename G2::NodeIt n2(_g2); n2!=INVALID; ++n2) kpeter@1189: ++_labelTmp1[_intLabels2[n2]]; madarasip@1186: madarasip@1186: typename G1::template NodeMap dm1(_g1,0); madarasip@1186: for(typename G1::EdgeIt e(_g1); e!=INVALID; ++e) { madarasip@1186: ++dm1[_g1.u(e)]; madarasip@1186: ++dm1[_g1.v(e)]; madarasip@1186: } madarasip@1186: madarasip@1186: typename G1::template NodeMap added(_g1,0); madarasip@1186: unsigned int orderIndex=0; madarasip@1186: madarasip@1186: for(typename G1::NodeIt n(_g1); n!=INVALID;) { madarasip@1186: if(!added[n]){ madarasip@1186: typename G1::Node minNode = n; madarasip@1186: for(typename G1::NodeIt n1(_g1,minNode); n1!=INVALID; ++n1) madarasip@1186: if(!added[n1] && kpeter@1189: (_labelTmp1[_intLabels1[minNode]]> kpeter@1189: _labelTmp1[_intLabels1[n1]]||(dm1[minNode] madarasip@1186: bool extMatch(){ madarasip@1186: while(_depth>=0) { kpeter@1189: if(_depth==static_cast(_order.size())) { kpeter@1188: //all nodes of g1 are mapped to nodes of g2 madarasip@1186: --_depth; madarasip@1186: return true; madarasip@1186: } kpeter@1189: typename G1::Node& nodeOfDepth = _order[_depth]; madarasip@1186: const typename G2::Node& pairOfNodeOfDepth = _mapping[nodeOfDepth]; kpeter@1189: typename G2::IncEdgeIt &edgeItOfDepth = _currEdgeIts[_depth]; kpeter@1188: //the node of g2 whose neighbours are the candidates for kpeter@1189: //the pair of _order[_depth] madarasip@1186: typename G2::Node currPNode; madarasip@1186: if(edgeItOfDepth==INVALID){ madarasip@1186: typename G1::IncEdgeIt fstMatchedE(_g1,nodeOfDepth); kpeter@1189: //if _mapping[_order[_depth]]!=INVALID, we don't need fstMatchedE kpeter@1188: if(pairOfNodeOfDepth==INVALID) { madarasip@1186: for(; fstMatchedE!=INVALID && madarasip@1186: _mapping[_g1.oppositeNode(nodeOfDepth, madarasip@1186: fstMatchedE)]==INVALID; madarasip@1186: ++fstMatchedE); //find fstMatchedE, it could be preprocessed kpeter@1188: } madarasip@1186: if(fstMatchedE==INVALID||pairOfNodeOfDepth!=INVALID) { kpeter@1188: //We found no covered neighbours, this means that kpeter@1188: //the graph is not connected (or _depth==0). Each kpeter@1188: //uncovered (and there are some other properties due madarasip@1186: //to the spec. problem types) node of g2 is kpeter@1188: //candidate. We can read the iterator of the last madarasip@1186: //tried node from the match if it is not the first kpeter@1188: //try (match[nodeOfDepth]!=INVALID) madarasip@1186: typename G2::NodeIt n2(_g2); madarasip@1186: //if it's not the first try madarasip@1186: if(pairOfNodeOfDepth!=INVALID) { madarasip@1186: n2=++typename G2::NodeIt(_g2,pairOfNodeOfDepth); madarasip@1186: subPair(nodeOfDepth,pairOfNodeOfDepth); madarasip@1186: } madarasip@1186: for(; n2!=INVALID; ++n2) madarasip@1186: if(MT!=SUBGRAPH) { madarasip@1186: if(_conn[n2]==0&&feas(nodeOfDepth,n2)) madarasip@1186: break; madarasip@1186: } madarasip@1186: else if(_conn[n2]>=0&&feas(nodeOfDepth,n2)) madarasip@1186: break; madarasip@1186: // n2 is the next candidate madarasip@1186: if(n2!=INVALID) { madarasip@1186: addPair(nodeOfDepth,n2); madarasip@1186: ++_depth; madarasip@1186: } madarasip@1186: else // there are no more candidates madarasip@1186: --_depth; madarasip@1186: continue; madarasip@1186: } kpeter@1188: else { madarasip@1186: currPNode=_mapping[_g1.oppositeNode(nodeOfDepth, madarasip@1186: fstMatchedE)]; madarasip@1186: edgeItOfDepth=typename G2::IncEdgeIt(_g2,currPNode); madarasip@1186: } madarasip@1186: } kpeter@1188: else { madarasip@1186: currPNode=_g2.oppositeNode(pairOfNodeOfDepth, madarasip@1186: edgeItOfDepth); madarasip@1186: subPair(nodeOfDepth,pairOfNodeOfDepth); madarasip@1186: ++edgeItOfDepth; madarasip@1186: } madarasip@1186: for(; edgeItOfDepth!=INVALID; ++edgeItOfDepth) { madarasip@1186: const typename G2::Node currNode = madarasip@1186: _g2.oppositeNode(currPNode, edgeItOfDepth); madarasip@1186: if(_conn[currNode]>0&&feas(nodeOfDepth,currNode)) { madarasip@1186: addPair(nodeOfDepth,currNode); madarasip@1186: break; madarasip@1186: } madarasip@1186: } madarasip@1186: edgeItOfDepth==INVALID?--_depth:++_depth; madarasip@1186: } madarasip@1186: return false; madarasip@1186: } madarasip@1186: kpeter@1188: //calculate the lookup table for cutting the search tree madarasip@1186: void setRNew1tRInOut1t(){ madarasip@1186: typename G1::template NodeMap tmp(_g1,0); kpeter@1189: for(unsigned int i=0; i<_order.size(); ++i) { kpeter@1189: tmp[_order[i]]=-1; kpeter@1189: for(typename G1::IncEdgeIt e1(_g1,_order[i]); e1!=INVALID; ++e1) { kpeter@1189: const typename G1::Node currNode=_g1.oppositeNode(_order[i],e1); madarasip@1186: if(tmp[currNode]>0) kpeter@1189: ++_labelTmp1[_intLabels1[currNode]]; madarasip@1186: else if(tmp[currNode]==0) kpeter@1189: ++_labelTmp2[_intLabels1[currNode]]; madarasip@1186: } kpeter@1189: //_labelTmp1[i]=number of neightbours with label i in set rInOut kpeter@1189: //_labelTmp2[i]=number of neightbours with label i in set rNew kpeter@1189: for(typename G1::IncEdgeIt e1(_g1,_order[i]); e1!=INVALID; ++e1) { kpeter@1189: const int& currIntLabel = _intLabels1[_g1.oppositeNode(_order[i],e1)]; kpeter@1189: if(_labelTmp1[currIntLabel]>0) { kpeter@1189: _rInOutLabels1[_order[i]] madarasip@1186: .push_back(std::make_pair(currIntLabel, kpeter@1189: _labelTmp1[currIntLabel])); kpeter@1189: _labelTmp1[currIntLabel]=0; madarasip@1186: } kpeter@1189: else if(_labelTmp2[currIntLabel]>0) { kpeter@1189: _rNewLabels1[_order[i]]. kpeter@1189: push_back(std::make_pair(currIntLabel,_labelTmp2[currIntLabel])); kpeter@1189: _labelTmp2[currIntLabel]=0; madarasip@1186: } madarasip@1186: } madarasip@1186: kpeter@1189: for(typename G1::IncEdgeIt e1(_g1,_order[i]); e1!=INVALID; ++e1) { kpeter@1189: int& tmpCurrNode=tmp[_g1.oppositeNode(_order[i],e1)]; madarasip@1186: if(tmpCurrNode!=-1) madarasip@1186: ++tmpCurrNode; madarasip@1186: } madarasip@1186: } madarasip@1186: } madarasip@1186: madarasip@1186: int getMaxLabel() const{ madarasip@1186: int m=-1; madarasip@1186: for(typename G1::NodeIt n1(_g1); n1!=INVALID; ++n1) { madarasip@1186: const int& currIntLabel = _intLabels1[n1]; madarasip@1186: if(currIntLabel>m) madarasip@1186: m=currIntLabel; madarasip@1186: } madarasip@1186: for(typename G2::NodeIt n2(_g2); n2!=INVALID; ++n2) { madarasip@1186: const int& currIntLabel = _intLabels2[n2]; madarasip@1186: if(currIntLabel>m) madarasip@1186: m=currIntLabel; madarasip@1186: } madarasip@1186: return m; madarasip@1186: } madarasip@1186: madarasip@1186: public: madarasip@1186: ///Constructor madarasip@1186: madarasip@1186: ///Constructor. madarasip@1186: ///\param g1 The graph to be embedded. madarasip@1186: ///\param g2 The graph \e g1 will be embedded into. madarasip@1186: ///\param m The type of the NodeMap storing the mapping. madarasip@1186: ///By default, it is G1::NodeMap madarasip@1186: ///\param intLabel1 The NodeMap storing the integer node labels of G1. madarasip@1186: ///The labels must be the numbers {0,1,2,..,K-1}, where K is the number of madarasip@1186: ///different labels. madarasip@1186: ///\param intLabel1 The NodeMap storing the integer node labels of G2. madarasip@1186: ///The labels must be the numbers {0,1,2,..,K-1}, where K is the number of madarasip@1186: ///different labels. madarasip@1186: Vf2pp(const G1 &g1, const G2 &g2,M &m, M1 &intLabels1, M2 &intLabels2) : kpeter@1189: _g1(g1), _g2(g2), _depth(0), _mapping(m), _order(countNodes(g1),INVALID), kpeter@1189: _conn(g2,0), _currEdgeIts(countNodes(g1),INVALID), _rNewLabels1(_g1), kpeter@1189: _rInOutLabels1(_g1), _intLabels1(intLabels1) ,_intLabels2(intLabels2), kpeter@1189: _maxLabel(getMaxLabel()), _labelTmp1(_maxLabel+1),_labelTmp2(_maxLabel+1), madarasip@1186: _mapping_type(SUBGRAPH), _deallocMappingAfterUse(0), madarasip@1186: _deallocLabelsAfterUse(0) madarasip@1186: { madarasip@1186: setOrder(); madarasip@1186: setRNew1tRInOut1t(); madarasip@1186: madarasip@1186: //reset mapping madarasip@1186: for(typename G1::NodeIt n(g1);n!=INVALID;++n) madarasip@1186: m[n]=INVALID; madarasip@1186: } madarasip@1186: madarasip@1186: ///Destructor madarasip@1186: madarasip@1186: ///Destructor. madarasip@1186: /// madarasip@1186: ~Vf2pp() madarasip@1186: { madarasip@1186: if(_deallocMappingAfterUse) madarasip@1186: delete &_mapping; madarasip@1186: if(_deallocLabelsAfterUse) { madarasip@1186: delete &_intLabels1; madarasip@1186: delete &_intLabels2; madarasip@1186: } madarasip@1186: } madarasip@1186: madarasip@1186: ///Returns the current mapping type. madarasip@1186: madarasip@1186: ///Returns the current mapping type. madarasip@1186: /// madarasip@1186: MappingType mappingType() const madarasip@1186: { madarasip@1186: return _mapping_type; madarasip@1186: } madarasip@1186: madarasip@1186: ///Sets the mapping type madarasip@1186: madarasip@1186: ///Sets the mapping type. madarasip@1186: /// madarasip@1186: ///The mapping type is set to \ref SUBGRAPH by default. madarasip@1186: /// madarasip@1186: ///\sa See \ref MappingType for the possible values. madarasip@1186: void mappingType(MappingType m_type) madarasip@1186: { madarasip@1186: _mapping_type = m_type; madarasip@1186: } madarasip@1186: madarasip@1186: ///Finds a mapping. madarasip@1186: madarasip@1186: ///This method finds a mapping from g1 into g2 according to the mapping madarasip@1186: ///type set by \ref mappingType(MappingType) "mappingType()". madarasip@1186: /// madarasip@1186: ///By subsequent calls, it returns all possible mappings one-by-one. madarasip@1186: /// madarasip@1186: ///\retval true if a mapping is found. madarasip@1186: ///\retval false if there is no (more) mapping. madarasip@1186: bool find() madarasip@1186: { madarasip@1186: switch(_mapping_type) madarasip@1186: { madarasip@1186: case SUBGRAPH: madarasip@1186: return extMatch(); madarasip@1186: case INDUCED: madarasip@1186: return extMatch(); madarasip@1186: case ISOMORPH: madarasip@1186: return extMatch(); madarasip@1186: default: madarasip@1186: return false; madarasip@1186: } madarasip@1186: } madarasip@1186: }; madarasip@1186: madarasip@1186: template madarasip@1186: class Vf2ppWizardBase { madarasip@1186: protected: madarasip@1186: typedef G1 Graph1; madarasip@1186: typedef G2 Graph2; madarasip@1186: madarasip@1186: const G1 &_g1; madarasip@1186: const G2 &_g2; madarasip@1186: madarasip@1186: MappingType _mapping_type; madarasip@1186: madarasip@1186: typedef typename G1::template NodeMap Mapping; madarasip@1186: bool _local_mapping; madarasip@1186: void *_mapping; madarasip@1186: void createMapping() { madarasip@1186: _mapping = new Mapping(_g1); madarasip@1186: } madarasip@1186: madarasip@1186: bool _local_nodeLabels; madarasip@1186: typedef typename G1::template NodeMap NodeLabels1; madarasip@1186: typedef typename G2::template NodeMap NodeLabels2; madarasip@1186: void *_nodeLabels1, *_nodeLabels2; madarasip@1186: void createNodeLabels() { madarasip@1186: _nodeLabels1 = new NodeLabels1(_g1,0); madarasip@1186: _nodeLabels2 = new NodeLabels2(_g2,0); madarasip@1186: } madarasip@1186: madarasip@1186: Vf2ppWizardBase(const G1 &g1,const G2 &g2) madarasip@1186: : _g1(g1), _g2(g2), _mapping_type(SUBGRAPH), madarasip@1186: _local_mapping(1), _local_nodeLabels(1) { } madarasip@1186: }; madarasip@1186: madarasip@1186: madarasip@1186: /// \brief Auxiliary class for the function-type interface of %VF2 madarasip@1186: /// Plus Plus algorithm. madarasip@1186: /// madarasip@1186: /// This auxiliary class implements the named parameters of madarasip@1186: /// \ref vf2pp() "function-type interface" of \ref Vf2pp algorithm. madarasip@1186: /// madarasip@1186: /// \warning This class is not to be used directly. madarasip@1186: /// madarasip@1186: /// \tparam TR The traits class that defines various types used by the madarasip@1186: /// algorithm. madarasip@1186: template madarasip@1186: class Vf2ppWizard : public TR { madarasip@1186: typedef TR Base; madarasip@1186: typedef typename TR::Graph1 Graph1; madarasip@1186: typedef typename TR::Graph2 Graph2; madarasip@1186: typedef typename TR::Mapping Mapping; madarasip@1186: typedef typename TR::NodeLabels1 NodeLabels1; madarasip@1186: typedef typename TR::NodeLabels2 NodeLabels2; madarasip@1186: madarasip@1186: using TR::_g1; madarasip@1186: using TR::_g2; madarasip@1186: using TR::_mapping_type; madarasip@1186: using TR::_mapping; madarasip@1186: using TR::_nodeLabels1; madarasip@1186: using TR::_nodeLabels2; madarasip@1186: madarasip@1186: public: madarasip@1186: ///Constructor kpeter@1188: Vf2ppWizard(const Graph1 &g1,const Graph2 &g2) : Base(g1,g2) {} madarasip@1186: madarasip@1186: ///Copy constructor madarasip@1186: Vf2ppWizard(const Base &b) : Base(b) {} madarasip@1186: madarasip@1186: madarasip@1186: template madarasip@1186: struct SetMappingBase : public Base { madarasip@1186: typedef T Mapping; kpeter@1188: SetMappingBase(const Base &b) : Base(b) {} madarasip@1186: }; madarasip@1186: madarasip@1186: ///\brief \ref named-templ-param "Named parameter" for setting madarasip@1186: ///the mapping. madarasip@1186: /// madarasip@1186: ///\ref named-templ-param "Named parameter" function for setting madarasip@1186: ///the map that stores the found embedding. madarasip@1186: template madarasip@1186: Vf2ppWizard< SetMappingBase > mapping(const T &t) { madarasip@1186: Base::_mapping=reinterpret_cast(const_cast(&t)); madarasip@1186: Base::_local_mapping = 0; madarasip@1186: return Vf2ppWizard >(*this); madarasip@1186: } madarasip@1186: madarasip@1186: template madarasip@1186: struct SetNodeLabelsBase : public Base { madarasip@1186: typedef NL1 NodeLabels1; madarasip@1186: typedef NL2 NodeLabels2; madarasip@1186: SetNodeLabelsBase(const Base &b) : Base(b) { } madarasip@1186: }; madarasip@1186: madarasip@1186: ///\brief \ref named-templ-param "Named parameter" for setting the madarasip@1186: ///node labels. madarasip@1186: /// madarasip@1186: ///\ref named-templ-param "Named parameter" function for setting madarasip@1186: ///the node labels. madarasip@1186: /// madarasip@1186: ///\param nodeLabels1 A \ref concepts::ReadMap "readable node map" kpeter@1188: ///of g1 with integer values. In case of K different labels, the labels kpeter@1188: ///must be the numbers {0,1,..,K-1}. madarasip@1186: ///\param nodeLabels2 A \ref concepts::ReadMap "readable node map" kpeter@1188: ///of g2 with integer values. In case of K different labels, the labels kpeter@1188: ///must be the numbers {0,1,..,K-1}. madarasip@1186: template madarasip@1186: Vf2ppWizard< SetNodeLabelsBase > madarasip@1186: nodeLabels(const NL1 &nodeLabels1, const NL2 &nodeLabels2) { madarasip@1186: Base::_local_nodeLabels = 0; madarasip@1186: Base::_nodeLabels1= madarasip@1186: reinterpret_cast(const_cast(&nodeLabels1)); madarasip@1186: Base::_nodeLabels2= madarasip@1186: reinterpret_cast(const_cast(&nodeLabels2)); madarasip@1186: return Vf2ppWizard > madarasip@1186: (SetNodeLabelsBase(*this)); madarasip@1186: } madarasip@1186: madarasip@1186: madarasip@1186: ///\brief \ref named-templ-param "Named parameter" for setting madarasip@1186: ///the mapping type. madarasip@1186: /// madarasip@1186: ///\ref named-templ-param "Named parameter" for setting madarasip@1186: ///the mapping type. madarasip@1186: /// madarasip@1186: ///The mapping type is set to \ref SUBGRAPH by default. madarasip@1186: /// madarasip@1186: ///\sa See \ref MappingType for the possible values. madarasip@1186: Vf2ppWizard &mappingType(MappingType m_type) { madarasip@1186: _mapping_type = m_type; madarasip@1186: return *this; madarasip@1186: } madarasip@1186: madarasip@1186: ///\brief \ref named-templ-param "Named parameter" for setting madarasip@1186: ///the mapping type to \ref INDUCED. madarasip@1186: /// madarasip@1186: ///\ref named-templ-param "Named parameter" for setting madarasip@1186: ///the mapping type to \ref INDUCED. madarasip@1186: Vf2ppWizard &induced() { madarasip@1186: _mapping_type = INDUCED; madarasip@1186: return *this; madarasip@1186: } madarasip@1186: madarasip@1186: ///\brief \ref named-templ-param "Named parameter" for setting madarasip@1186: ///the mapping type to \ref ISOMORPH. madarasip@1186: /// madarasip@1186: ///\ref named-templ-param "Named parameter" for setting madarasip@1186: ///the mapping type to \ref ISOMORPH. madarasip@1186: Vf2ppWizard &iso() { madarasip@1186: _mapping_type = ISOMORPH; madarasip@1186: return *this; madarasip@1186: } madarasip@1186: madarasip@1186: ///Runs the %VF2 Plus Plus algorithm. madarasip@1186: madarasip@1186: ///This method runs the VF2 Plus Plus algorithm. madarasip@1186: /// madarasip@1186: ///\retval true if a mapping is found. madarasip@1186: ///\retval false if there is no mapping. madarasip@1186: bool run() { madarasip@1186: if(Base::_local_mapping) madarasip@1186: Base::createMapping(); madarasip@1186: if(Base::_local_nodeLabels) madarasip@1186: Base::createNodeLabels(); madarasip@1186: madarasip@1186: Vf2pp madarasip@1186: alg(_g1, _g2, *reinterpret_cast(_mapping), madarasip@1186: *reinterpret_cast(_nodeLabels1), madarasip@1186: *reinterpret_cast(_nodeLabels2)); madarasip@1186: madarasip@1186: alg.mappingType(_mapping_type); madarasip@1186: madarasip@1186: const bool ret = alg.find(); madarasip@1186: madarasip@1186: if(Base::_local_nodeLabels) { madarasip@1186: delete reinterpret_cast(_nodeLabels1); madarasip@1186: delete reinterpret_cast(_nodeLabels2); madarasip@1186: } madarasip@1186: if(Base::_local_mapping) madarasip@1186: delete reinterpret_cast(_mapping); madarasip@1186: madarasip@1186: return ret; madarasip@1186: } madarasip@1186: madarasip@1186: ///Get a pointer to the generated Vf2pp object. madarasip@1186: madarasip@1186: ///Gives a pointer to the generated Vf2pp object. madarasip@1186: /// madarasip@1186: ///\return Pointer to the generated Vf2pp object. madarasip@1186: ///\warning Don't forget to delete the referred Vf2pp object after use. madarasip@1186: Vf2pp* madarasip@1186: getPtrToVf2ppObject(){ madarasip@1186: if(Base::_local_mapping) madarasip@1186: Base::createMapping(); madarasip@1186: if(Base::_local_nodeLabels) madarasip@1186: Base::createNodeLabels(); madarasip@1186: madarasip@1186: Vf2pp* ptr = madarasip@1186: new Vf2pp madarasip@1186: (_g1, _g2, *reinterpret_cast(_mapping), madarasip@1186: *reinterpret_cast(_nodeLabels1), madarasip@1186: *reinterpret_cast(_nodeLabels2)); madarasip@1186: ptr->mappingType(_mapping_type); madarasip@1186: if(Base::_local_mapping) madarasip@1186: ptr->_deallocMappingAfterUse=true; madarasip@1186: if(Base::_local_nodeLabels) madarasip@1186: ptr->_deallocLabelMapsAfterUse=true; madarasip@1186: madarasip@1186: return ptr; madarasip@1186: } madarasip@1186: madarasip@1186: ///Counts the number of mappings. madarasip@1186: madarasip@1186: ///This method counts the number of mappings. madarasip@1186: /// madarasip@1186: /// \return The number of mappings. madarasip@1186: int count() { madarasip@1186: if(Base::_local_mapping) madarasip@1186: Base::createMapping(); madarasip@1186: if(Base::_local_nodeLabels) madarasip@1186: Base::createNodeLabels(); madarasip@1186: madarasip@1186: Vf2pp madarasip@1186: alg(_g1, _g2, *reinterpret_cast(_mapping), madarasip@1186: *reinterpret_cast(_nodeLabels1), madarasip@1186: *reinterpret_cast(_nodeLabels2)); madarasip@1186: madarasip@1186: alg.mappingType(_mapping_type); madarasip@1186: madarasip@1186: int ret = 0; madarasip@1186: while(alg.find()) madarasip@1186: ++ret; madarasip@1186: madarasip@1186: if(Base::_local_nodeLabels) { madarasip@1186: delete reinterpret_cast(_nodeLabels1); madarasip@1186: delete reinterpret_cast(_nodeLabels2); madarasip@1186: } madarasip@1186: if(Base::_local_mapping) madarasip@1186: delete reinterpret_cast(_mapping); madarasip@1186: madarasip@1186: return ret; madarasip@1186: } madarasip@1186: }; madarasip@1186: madarasip@1186: madarasip@1186: ///Function-type interface for VF2 Plus Plus algorithm. madarasip@1186: madarasip@1186: /// \ingroup graph_isomorphism madarasip@1186: ///Function-type interface for VF2 Plus Plus algorithm. madarasip@1186: /// madarasip@1186: ///This function has several \ref named-func-param "named parameters" madarasip@1186: ///declared as the members of class \ref Vf2ppWizard. madarasip@1186: ///The following examples show how to use these parameters. madarasip@1186: ///\code madarasip@1186: /// ListGraph::NodeMap m(g); madarasip@1186: /// // Find an embedding of graph g1 into graph g2 madarasip@1186: /// vf2pp(g1,g2).mapping(m).run(); madarasip@1186: /// madarasip@1186: /// // Check whether graphs g1 and g2 are isomorphic madarasip@1186: /// bool is_iso = vf2pp(g1,g2).iso().run(); madarasip@1186: /// madarasip@1186: /// // Count the number of isomorphisms madarasip@1186: /// int num_isos = vf2pp(g1,g2).iso().count(); madarasip@1186: /// madarasip@1186: /// // Iterate through all the induced subgraph mappings kpeter@1188: /// // of graph g1 into g2 using the labels c1 and c2 madarasip@1186: /// auto* myVf2pp = vf2pp(g1,g2).mapping(m).nodeLabels(c1,c2) madarasip@1186: /// .induced().getPtrToVf2Object(); madarasip@1186: /// while(myVf2pp->find()){ madarasip@1186: /// //process the current mapping m madarasip@1186: /// } madarasip@1186: /// delete myVf22pp; madarasip@1186: ///\endcode madarasip@1186: ///\warning Don't forget to put the \ref Vf2ppWizard::run() "run()", madarasip@1186: ///\ref Vf2ppWizard::count() "count()" or madarasip@1186: ///the \ref Vf2ppWizard::getPtrToVf2ppObject() "getPtrToVf2ppObject()" madarasip@1186: ///to the end of the expression. madarasip@1186: ///\sa Vf2ppWizard madarasip@1186: ///\sa Vf2pp madarasip@1186: template madarasip@1186: Vf2ppWizard > vf2pp(const G1 &g1, const G2 &g2) { madarasip@1186: return Vf2ppWizard >(g1,g2); madarasip@1186: } madarasip@1186: madarasip@1186: } madarasip@1186: madarasip@1186: #endif madarasip@1186: