test/bipartite_matching_test.cc
changeset 2076 10681ee9d8ae
parent 2051 08652c1763f6
child 2115 4cd528a30ec1
equal deleted inserted replaced
1:66ad70027fbc 2:a53e7a6ae991
    21 
    21 
    22 int main(int argc, const char *argv[]) {
    22 int main(int argc, const char *argv[]) {
    23   Graph graph;
    23   Graph graph;
    24   vector<Node> aNodes;
    24   vector<Node> aNodes;
    25   vector<Node> bNodes;
    25   vector<Node> bNodes;
    26   int n = argc > 1 ? atoi(argv[1]) : 100;
    26   int n = argc > 1 ? atoi(argv[1]) : 10;
    27   int m = argc > 2 ? atoi(argv[2]) : 100;
    27   int m = argc > 2 ? atoi(argv[2]) : 10;
    28   int e = argc > 3 ? atoi(argv[3]) : (int)((n+m) * log(n+m));
    28   int e = argc > 3 ? atoi(argv[3]) : (int)((n+m) * log(n+m));
    29   int c = argc > 4 ? atoi(argv[4]) : 100;
    29   int c = argc > 4 ? atoi(argv[4]) : 100;
    30 
    30 
    31   Graph::UEdgeMap<int> weight(graph);
    31   Graph::UEdgeMap<int> weight(graph);
    32 
    32 
    33   int max_cardinality;
    33   int max_cardinality;
    34   int max_weight;
    34   int max_weight;
    35   int max_cardinality_max_weight;
    35   int max_cardinality_max_weight;
       
    36   int min_cost_matching;
    36 
    37 
    37   for (int i = 0; i < n; ++i) {
    38   for (int i = 0; i < n; ++i) {
    38     Node node = graph.addANode();
    39     Node node = graph.addANode();
    39     aNodes.push_back(node);
    40     aNodes.push_back(node);
    40   }
    41   }
    69         if (mm[jt]) ++num;
    70         if (mm[jt]) ++num;
    70       }
    71       }
    71       check(num <= 1, "INVALID PRIMAL");
    72       check(num <= 1, "INVALID PRIMAL");
    72     }
    73     }
    73     max_cardinality = bpmatch.matchingSize();
    74     max_cardinality = bpmatch.matchingSize();
       
    75   }
       
    76 
       
    77   {
       
    78     Graph::UEdgeMap<bool> mm(graph);
       
    79 
       
    80     check(max_cardinality == maxBipartiteMatching(graph, mm),
       
    81           "WRONG MATCHING");
       
    82     
       
    83     for (ANodeIt it(graph); it != INVALID; ++it) {
       
    84       int num = 0;
       
    85       for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) {
       
    86         if (mm[jt]) ++num;
       
    87       }
       
    88       check(num <= 1, "INVALID PRIMAL");
       
    89     }
    74   }
    90   }
    75 
    91 
    76   {
    92   {
    77     MaxBipartiteMatching<Graph> bpmatch(graph);
    93     MaxBipartiteMatching<Graph> bpmatch(graph);
    78 
    94 
   135       bpmatch.matching(mm);
   151       bpmatch.matching(mm);
   136       bpmatch.potential(pm);
   152       bpmatch.potential(pm);
   137       
   153       
   138       for (UEdgeIt it(graph); it != INVALID; ++it) {
   154       for (UEdgeIt it(graph); it != INVALID; ++it) {
   139         if (mm[it]) {
   155         if (mm[it]) {
   140           check(pm[graph.aNode(it)] - weight[it] - pm[graph.bNode(it)] == 0,
   156           check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] == 0,
   141                 "INVALID DUAL");
   157                 "INVALID DUAL");
   142         } else {
   158         } else {
   143           check(pm[graph.aNode(it)] - weight[it] - pm[graph.bNode(it)] >= 0,
   159           check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] >= 0,
   144                 "INVALID DUAL");
   160                 "INVALID DUAL");
   145         }
   161         }
   146       }
   162       }
   147 
   163 
   148       for (ANodeIt it(graph); it != INVALID; ++it) {
   164       for (ANodeIt it(graph); it != INVALID; ++it) {
   157       }
   173       }
   158     }
   174     }
   159   }
   175   }
   160 
   176 
   161   {
   177   {
       
   178     Graph::UEdgeMap<bool> mm(graph);
       
   179 
       
   180     check(max_weight == maxWeightedBipartiteMatching(graph, weight, mm),
       
   181           "WRONG MATCHING");
       
   182     
       
   183     for (ANodeIt it(graph); it != INVALID; ++it) {
       
   184       int num = 0;
       
   185       for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) {
       
   186         if (mm[jt]) ++num;
       
   187       }
       
   188       check(num <= 1, "INVALID PRIMAL");
       
   189     }
       
   190   }
       
   191 
       
   192   {
   162     MaxWeightedBipartiteMatching<Graph> bpmatch(graph, weight);
   193     MaxWeightedBipartiteMatching<Graph> bpmatch(graph, weight);
   163 
   194 
   164     bpmatch.run();
   195     bpmatch.run();
   165     
   196     
   166     Graph::UEdgeMap<bool> mm(graph);
   197     Graph::UEdgeMap<bool> mm(graph);
   169     bpmatch.matching(mm);
   200     bpmatch.matching(mm);
   170     bpmatch.potential(pm);
   201     bpmatch.potential(pm);
   171     
   202     
   172     for (UEdgeIt it(graph); it != INVALID; ++it) {
   203     for (UEdgeIt it(graph); it != INVALID; ++it) {
   173       if (mm[it]) {
   204       if (mm[it]) {
   174         check(pm[graph.aNode(it)] - weight[it] - pm[graph.bNode(it)] == 0,
   205         check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] == 0,
   175               "INVALID DUAL");
   206               "INVALID DUAL");
   176       } else {
   207       } else {
   177         check(pm[graph.aNode(it)] - weight[it] - pm[graph.bNode(it)] >= 0,
   208         check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] >= 0,
   178               "INVALID DUAL");
   209               "INVALID DUAL");
   179       }
   210       }
   180     }
   211     }
   181 
   212 
   182     for (ANodeIt it(graph); it != INVALID; ++it) {
   213     for (ANodeIt it(graph); it != INVALID; ++it) {
   200     bpmatch.matching(mm);
   231     bpmatch.matching(mm);
   201     bpmatch.potential(pm);
   232     bpmatch.potential(pm);
   202     
   233     
   203     for (UEdgeIt it(graph); it != INVALID; ++it) {
   234     for (UEdgeIt it(graph); it != INVALID; ++it) {
   204       if (mm[it]) {
   235       if (mm[it]) {
   205         check(pm[graph.aNode(it)] - weight[it] - pm[graph.bNode(it)] == 0,
   236         check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] == 0,
   206               "INVALID DUAL");
   237               "INVALID DUAL");
   207       } else {
   238       } else {
   208         check(pm[graph.aNode(it)] - weight[it] - pm[graph.bNode(it)] >= 0,
   239         check(pm[graph.aNode(it)] + pm[graph.bNode(it)] - weight[it] >= 0,
   209               "INVALID DUAL");
   240               "INVALID DUAL");
   210       }
   241       }
   211     }
   242     }
   212 
   243 
   213     for (ANodeIt it(graph); it != INVALID; ++it) {
   244     for (ANodeIt it(graph); it != INVALID; ++it) {
   221     max_cardinality_max_weight = bpmatch.matchingValue();
   252     max_cardinality_max_weight = bpmatch.matchingValue();
   222 
   253 
   223   }
   254   }
   224 
   255 
   225   {
   256   {
   226     Graph::UEdgeMap<int> cost(graph);
   257     Graph::UEdgeMap<bool> mm(graph);
   227 
   258 
   228     cost = subMap(constMap<UEdge>(c), weight);
   259     check(max_cardinality_max_weight == 
       
   260           maxWeightedMaxBipartiteMatching(graph, weight, mm),
       
   261           "WRONG MATCHING");
       
   262     
       
   263     for (ANodeIt it(graph); it != INVALID; ++it) {
       
   264       int num = 0;
       
   265       for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) {
       
   266         if (mm[jt]) ++num;
       
   267       }
       
   268       check(num <= 1, "INVALID PRIMAL");
       
   269     }
       
   270   }
       
   271 
       
   272   Graph::UEdgeMap<int> cost(graph);
       
   273   cost = subMap(constMap<UEdge>(c), weight);
       
   274 
       
   275   {
   229 
   276 
   230     MinCostMaxBipartiteMatching<Graph> bpmatch(graph, cost);
   277     MinCostMaxBipartiteMatching<Graph> bpmatch(graph, cost);
   231 
   278 
   232     bpmatch.run();
   279     bpmatch.run();
   233     
   280     
   253         if (mm[jt]) ++num;
   300         if (mm[jt]) ++num;
   254     }
   301     }
   255       check(num <= 1, "INVALID PRIMAL");
   302       check(num <= 1, "INVALID PRIMAL");
   256     }
   303     }
   257 
   304 
       
   305     min_cost_matching = bpmatch.matchingCost();
   258     check(max_cardinality == bpmatch.matchingSize(), "WRONG SIZE");
   306     check(max_cardinality == bpmatch.matchingSize(), "WRONG SIZE");
   259     check(max_cardinality * c - max_cardinality_max_weight 
   307     check(max_cardinality * c - max_cardinality_max_weight 
   260           == bpmatch.matchingCost(), "WRONG SIZE");
   308           == bpmatch.matchingCost(), "WRONG SIZE");
   261 
   309 
   262   }
   310   }
   263 
   311 
       
   312   {
       
   313     Graph::UEdgeMap<bool> mm(graph);
       
   314 
       
   315     check(min_cost_matching == 
       
   316           minCostMaxBipartiteMatching(graph, cost, mm),
       
   317           "WRONG MATCHING");
       
   318     
       
   319     for (ANodeIt it(graph); it != INVALID; ++it) {
       
   320       int num = 0;
       
   321       for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) {
       
   322         if (mm[jt]) ++num;
       
   323       }
       
   324       check(num <= 1, "INVALID PRIMAL");
       
   325     }
       
   326   }
       
   327 
   264   return 0;
   328   return 0;
   265 }
   329 }