diff --git a/test/max_matching_test.cc b/test/max_matching_test.cc new file mode 100644 --- /dev/null +++ b/test/max_matching_test.cc @@ -0,0 +1,181 @@ +/* -*- mode: C++; indent-tabs-mode: nil; -*- + * + * This file is a part of LEMON, a generic C++ optimization library. + * + * Copyright (C) 2003-2008 + * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport + * (Egervary Research Group on Combinatorial Optimization, EGRES). + * + * Permission to use, modify and distribute this software is granted + * provided that this copyright notice appears in all copies. For + * precise terms see the accompanying LICENSE file. + * + * This software is provided "AS IS" with no warranty of any kind, + * express or implied, and with no claim as to its suitability for any + * purpose. + * + */ + +#include +#include +#include +#include +#include + +#include "test_tools.h" +#include +#include + +using namespace std; +using namespace lemon; + +int main() { + + typedef ListGraph Graph; + + GRAPH_TYPEDEFS(Graph); + + Graph g; + g.clear(); + + std::vector nodes; + for (int i=0; i<13; ++i) + nodes.push_back(g.addNode()); + + g.addEdge(nodes[0], nodes[0]); + g.addEdge(nodes[6], nodes[10]); + g.addEdge(nodes[5], nodes[10]); + g.addEdge(nodes[4], nodes[10]); + g.addEdge(nodes[3], nodes[11]); + g.addEdge(nodes[1], nodes[6]); + g.addEdge(nodes[4], nodes[7]); + g.addEdge(nodes[1], nodes[8]); + g.addEdge(nodes[0], nodes[8]); + g.addEdge(nodes[3], nodes[12]); + g.addEdge(nodes[6], nodes[9]); + g.addEdge(nodes[9], nodes[11]); + g.addEdge(nodes[2], nodes[10]); + g.addEdge(nodes[10], nodes[8]); + g.addEdge(nodes[5], nodes[8]); + g.addEdge(nodes[6], nodes[3]); + g.addEdge(nodes[0], nodes[5]); + g.addEdge(nodes[6], nodes[12]); + + MaxMatching max_matching(g); + max_matching.init(); + max_matching.startDense(); + + int s=0; + Graph::NodeMap mate(g,INVALID); + max_matching.mateMap(mate); + for(NodeIt v(g); v!=INVALID; ++v) { + if ( mate[v]!=INVALID ) ++s; + } + int size=int(s/2); //size will be used as the size of a maxmatching + + for(NodeIt v(g); v!=INVALID; ++v) { + max_matching.mate(v); + } + + check ( size == max_matching.size(), "mate() returns a different size matching than max_matching.size()" ); + + Graph::NodeMap::DecompType> pos0(g); + max_matching.decomposition(pos0); + + max_matching.init(); + max_matching.startSparse(); + s=0; + max_matching.mateMap(mate); + for(NodeIt v(g); v!=INVALID; ++v) { + if ( mate[v]!=INVALID ) ++s; + } + check ( int(s/2) == size, "The size does not equal!" ); + + Graph::NodeMap::DecompType> pos1(g); + max_matching.decomposition(pos1); + + max_matching.run(); + s=0; + max_matching.mateMap(mate); + for(NodeIt v(g); v!=INVALID; ++v) { + if ( mate[v]!=INVALID ) ++s; + } + check ( int(s/2) == size, "The size does not equal!" ); + + Graph::NodeMap::DecompType> pos2(g); + max_matching.decomposition(pos2); + + max_matching.run(); + s=0; + max_matching.mateMap(mate); + for(NodeIt v(g); v!=INVALID; ++v) { + if ( mate[v]!=INVALID ) ++s; + } + check ( int(s/2) == size, "The size does not equal!" ); + + Graph::NodeMap::DecompType> pos(g); + max_matching.decomposition(pos); + + bool ismatching=true; + for(NodeIt v(g); v!=INVALID; ++v) { + if ( mate[v]!=INVALID ) { + Node u=mate[v]; + if (mate[u]!=v) ismatching=false; + } + } + check ( ismatching, "It is not a matching!" ); + + bool coincide=true; + for(NodeIt v(g); v!=INVALID; ++v) { + if ( pos0[v] != pos1[v] || pos1[v]!=pos2[v] || pos2[v]!=pos[v] ) { + coincide=false; + } + } + check ( coincide, "The decompositions do not coincide! " ); + + bool noarc=true; + for(EdgeIt e(g); e!=INVALID; ++e) { + if ( (pos[g.v(e)]==max_matching.C && + pos[g.u(e)]==max_matching.D) || + (pos[g.v(e)]==max_matching.D && + pos[g.u(e)]==max_matching.C) ) + noarc=false; + } + check ( noarc, "There are arcs between D and C!" ); + + bool oddcomp=true; + Graph::NodeMap todo(g,true); + int num_comp=0; + for(NodeIt v(g); v!=INVALID; ++v) { + if ( pos[v]==max_matching.D && todo[v] ) { + int comp_size=1; + ++num_comp; + std::queue Q; + Q.push(v); + todo.set(v,false); + while (!Q.empty()) { + Node w=Q.front(); + Q.pop(); + for(IncEdgeIt e(g,w); e!=INVALID; ++e) { + Node u=g.runningNode(e); + if ( pos[u]==max_matching.D && todo[u] ) { + ++comp_size; + Q.push(u); + todo.set(u,false); + } + } + } + if ( !(comp_size % 2) ) oddcomp=false; + } + } + check ( oddcomp, "A component of g[D] is not odd." ); + + int barrier=0; + for(NodeIt v(g); v!=INVALID; ++v) { + if ( pos[v]==max_matching.A ) ++barrier; + } + int expected_size=int( countNodes(g)-num_comp+barrier)/2; + check ( size==expected_size, "The size of the matching is wrong." ); + + return 0; +}