test/bipartite_matching_test.cc
changeset 2240 d93c034d3c98
parent 2116 b6a68c15a6a3
child 2386 81b47fc5c444
equal deleted inserted replaced
4:e53f6e8873b6 5:15f5d23a08e7
     1 #include <cstdlib>
     1 #include <cstdlib>
     2 #include <iostream>
     2 #include <iostream>
     3 #include <sstream>
     3 #include <sstream>
     4 
     4 
     5 #include <lemon/list_graph.h>
     5 #include <lemon/smart_graph.h>
     6 
     6 
     7 #include <lemon/bpugraph_adaptor.h>
     7 #include <lemon/bpugraph_adaptor.h>
     8 #include <lemon/bipartite_matching.h>
     8 #include <lemon/bipartite_matching.h>
     9 
     9 
    10 #include <lemon/graph_utils.h>
    10 #include <lemon/graph_utils.h>
    14 #include "test_tools.h"
    14 #include "test_tools.h"
    15 
    15 
    16 using namespace std;
    16 using namespace std;
    17 using namespace lemon;
    17 using namespace lemon;
    18 
    18 
    19 typedef ListBpUGraph Graph;
    19 typedef SmartBpUGraph Graph;
    20 BPUGRAPH_TYPEDEFS(Graph);
    20 BPUGRAPH_TYPEDEFS(Graph);
    21 
    21 
    22 int main(int argc, const char *argv[]) {
    22 const int n = 10;
       
    23 const int m = 10;
       
    24 const int e = 52;
       
    25 const int c = 100;
       
    26 
       
    27 const int sa[e] = { 6, 5, 6, 4, 1, 0, 9, 5, 2, 4, 4, 3, 5,
       
    28                     2, 3, 8, 3, 4, 9, 6, 9, 4, 3, 1, 5, 8,
       
    29                     4, 8, 9, 2, 2, 3, 0, 5, 2, 3, 6, 3, 8,
       
    30                     8, 4, 0, 9, 9, 6, 2, 1, 2, 7, 1, 9, 4};
       
    31 
       
    32 const int ta[e] = { 2, 7, 4, 8, 6, 3, 4, 1, 7, 7, 0, 1, 6,
       
    33                     3, 2, 6, 8, 3, 5, 6, 3, 1, 8, 7, 2, 0,
       
    34                     6, 9, 6, 7, 8, 3, 3, 4, 5, 8, 6, 4, 1,
       
    35                     4, 3, 3, 8, 7, 7, 3, 7, 7, 3, 5, 1, 6};
       
    36 
       
    37 const int wa[e] = { 3, 99, 85, 16, 79, 52, 83, 99, 62, 6, 42, 6, 95,
       
    38                     13, 34, 9, 5, 38, 39, 75, 99, 12, 73, 35, 93, 43,
       
    39                     54, 91, 45, 26, 77, 47, 11, 22, 50, 74, 37, 64, 91,
       
    40                     60, 6, 92, 29, 46, 34, 84, 67, 34, 45, 0, 39, 47};
       
    41 
       
    42 
       
    43 int main() {
    23   Graph graph;
    44   Graph graph;
    24   vector<Node> aNodes;
    45   vector<Node> aNodes;
    25   vector<Node> bNodes;
    46   vector<Node> bNodes;
    26   int n = argc > 1 ? atoi(argv[1]) : 10;
       
    27   int m = argc > 2 ? atoi(argv[2]) : 10;
       
    28   int e = argc > 3 ? atoi(argv[3]) : (int)((n+m) * log(n+m));
       
    29   int c = argc > 4 ? atoi(argv[4]) : 100;
       
    30 
    47 
    31   Graph::UEdgeMap<int> weight(graph);
    48   Graph::UEdgeMap<int> weight(graph);
    32 
    49 
    33   int max_cardinality;
    50   int max_cardinality;
    34   int max_weight;
    51   int max_weight;
    42   for (int i = 0; i < m; ++i) {
    59   for (int i = 0; i < m; ++i) {
    43     Node node = graph.addBNode();
    60     Node node = graph.addBNode();
    44     bNodes.push_back(node);
    61     bNodes.push_back(node);
    45   }
    62   }
    46   for (int i = 0; i < e; ++i) {
    63   for (int i = 0; i < e; ++i) {
    47     Node aNode = aNodes[urandom(n)];
    64     Node aNode = aNodes[sa[i]];
    48     Node bNode = bNodes[urandom(m)];
    65     Node bNode = bNodes[ta[i]];
    49     UEdge uedge = graph.addEdge(aNode, bNode);
    66     UEdge uedge = graph.addEdge(aNode, bNode);
    50     weight[uedge] = urandom(c);
    67     weight[uedge] = wa[i];
    51   }
    68   }
       
    69 
    52 
    70 
    53   {
    71   {
    54     MaxBipartiteMatching<Graph> bpmatch(graph);
    72     MaxBipartiteMatching<Graph> bpmatch(graph);
    55 
    73 
    56     bpmatch.run();
    74     bpmatch.run();
   269     }
   287     }
   270   }
   288   }
   271 
   289 
   272   Graph::UEdgeMap<int> cost(graph);
   290   Graph::UEdgeMap<int> cost(graph);
   273   cost = subMap(constMap<UEdge>(c), weight);
   291   cost = subMap(constMap<UEdge>(c), weight);
   274 
       
   275   {
   292   {
   276 
   293 
   277     MinCostMaxBipartiteMatching<Graph> bpmatch(graph, cost);
   294     MinCostMaxBipartiteMatching<Graph> bpmatch(graph, cost);
   278 
   295 
   279     bpmatch.run();
   296     bpmatch.run();
   282     Graph::NodeMap<int> pm(graph);
   299     Graph::NodeMap<int> pm(graph);
   283 
   300 
   284     bpmatch.matching(mm);
   301     bpmatch.matching(mm);
   285     bpmatch.potential(pm);
   302     bpmatch.potential(pm);
   286     
   303     
   287     for (UEdgeIt it(graph); it != INVALID; ++it) {
       
   288       if (mm[it]) {
       
   289         check(pm[graph.aNode(it)] + cost[it] - pm[graph.bNode(it)] == 0,
       
   290               "INVALID DUAL");
       
   291       } else {
       
   292         check(pm[graph.aNode(it)] + cost[it] - pm[graph.bNode(it)] >= 0,
       
   293               "INVALID DUAL");
       
   294       }
       
   295     }
       
   296 
       
   297     for (ANodeIt it(graph); it != INVALID; ++it) {
       
   298       int num = 0;
       
   299       for (IncEdgeIt jt(graph, it); jt != INVALID; ++jt) {
       
   300         if (mm[jt]) ++num;
       
   301     }
       
   302       check(num <= 1, "INVALID PRIMAL");
       
   303     }
       
   304 
       
   305     min_cost_matching = bpmatch.matchingCost();
   304     min_cost_matching = bpmatch.matchingCost();
   306     check(max_cardinality == bpmatch.matchingSize(), "WRONG SIZE");
   305     check(max_cardinality == bpmatch.matchingSize(), "WRONG SIZE");
   307     check(max_cardinality * c - max_cardinality_max_weight 
   306     check(max_cardinality * c - max_cardinality_max_weight 
   308           == bpmatch.matchingCost(), "WRONG SIZE");
   307           == bpmatch.matchingCost(), "WRONG SIZE");
   309 
   308 
       
   309     for (UEdgeIt it(graph); it != INVALID; ++it) {
       
   310       if (mm[it]) {
       
   311         check(pm[graph.aNode(it)] + cost[it] - pm[graph.bNode(it)] == 0,
       
   312               "INVALID DUAL");
       
   313       } else {
       
   314         check(pm[graph.aNode(it)] + cost[it] - pm[graph.bNode(it)] >= 0,
       
   315               "INVALID DUAL");
       
   316       }
       
   317     }
       
   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     min_cost_matching = bpmatch.matchingCost();
       
   328     check(max_cardinality == bpmatch.matchingSize(), "WRONG SIZE");
       
   329     check(max_cardinality * c - max_cardinality_max_weight 
       
   330           == bpmatch.matchingCost(), "WRONG SIZE");
       
   331 
   310   }
   332   }
   311 
   333 
   312   {
   334   {
   313     Graph::UEdgeMap<bool> mm(graph);
   335     Graph::UEdgeMap<bool> mm(graph);
   314 
   336