src/work/marci/bipartite_matching_demo.cc
author ladanyi
Tue, 05 Apr 2005 22:37:19 +0000
changeset 1308 0274efa2222f
parent 771 ad7dff9ee2fd
permissions -rw-r--r--
Applied the changes which somehow vanished during my last merge. Thanks goes
to Marci for noticing this. In detail:
- added amsmath and amssymb latex packages for latex documentation
- src/demo is also scanned for doxygen input files
     1 // -*- c++ -*-
     2 #include <iostream>
     3 #include <fstream>
     4 #include <vector>
     5 
     6 #include <sage_graph.h>
     7 //#include <smart_graph.h>
     8 //#include <dimacs.h>
     9 #include <lemon/time_measure.h>
    10 #include <for_each_macros.h>
    11 #include <bfs_dfs.h>
    12 #include <bipartite_graph_wrapper.h>
    13 #include <lemon/maps.h>
    14 #include <lemon/max_flow.h>
    15 #include <graph_gen.h>
    16 #include <max_bipartite_matching.h>
    17 
    18 using namespace lemon;
    19 
    20 using std::cin;
    21 using std::cout;
    22 using std::endl;
    23 
    24 int main() {
    25   //typedef UndirListGraph Graph; 
    26   typedef BipartiteGraph<SageGraph> Graph;
    27   
    28   typedef Graph::Node Node;
    29   typedef Graph::NodeIt NodeIt;
    30   typedef Graph::Edge Edge;
    31   typedef Graph::EdgeIt EdgeIt;
    32   typedef Graph::OutEdgeIt OutEdgeIt;
    33 
    34   Graph g;
    35 
    36   int a;
    37   cout << "number of nodes in the first color class=";
    38   cin >> a; 
    39   int b;
    40   cout << "number of nodes in the second color class=";
    41   cin >> b; 
    42   int m;
    43   cout << "number of edges=";
    44   cin >> m; 
    45   
    46   cout << "Generatig a random bipartite graph..." << endl;
    47   random_init();
    48   randomBipartiteGraph(g, a, b, m);
    49 
    50 //   cout << "Edges of the bipartite graph:" << endl;
    51 //   FOR_EACH_LOC(EdgeIt, e, g) cout << e << " ";
    52 //   cout << endl;
    53 
    54 //   cout << "Nodes:" << endl;
    55 //   FOR_EACH_LOC(Graph::NodeIt, v, g) cout << v << " ";
    56 //   cout << endl;
    57 //   cout << "Nodes in T:" << endl;
    58 //   FOR_EACH_INC_LOC(Graph::ClassNodeIt, v, g, Graph::T_CLASS) cout << v << " ";
    59 //   cout << endl;
    60 //   cout << "Nodes in S:" << endl;
    61 //   FOR_EACH_INC_LOC(Graph::ClassNodeIt, v, g, Graph::S_CLASS) cout << v << " ";
    62 //   cout << endl;
    63 
    64 //   cout << "Erasing the first node..." << endl;
    65 //   NodeIt n;
    66 //   g.first(n);
    67 //   g.erase(n);
    68 //   cout << "Nodes of the bipartite graph:" << endl;
    69 //   FOR_EACH_GLOB(n, g) cout << n << " ";
    70 //   cout << endl;
    71 
    72 //   cout << "Nodes in T:" << endl;
    73 //   FOR_EACH_INC_LOC(Graph::ClassNodeIt, v, g, Graph::T_CLASS) cout << v << " ";
    74 //   cout << endl;
    75 //   cout << "Nodes in S:" << endl;
    76 //   FOR_EACH_INC_LOC(Graph::ClassNodeIt, v, g, Graph::S_CLASS) cout << v << " ";
    77 //   cout << endl;
    78 
    79   typedef stBipartiteGraphWrapper<Graph> stGW;
    80   stGW stgw(g);
    81   ConstMap<stGW::Edge, int> const1map(1);
    82 
    83   Timer ts;
    84   cout << "max bipartite matching with stGraphWrapper..." << endl;
    85   ts.reset();
    86   stGW::EdgeMap<int> flow(stgw);
    87   MaxFlow<stGW, int, ConstMap<stGW::Edge, int>, stGW::EdgeMap<int> > 
    88     max_flow_test(stgw, stgw.S_NODE, stgw.T_NODE, const1map, flow);
    89   max_flow_test.run();
    90 //  while (max_flow_test.augmentOnShortestPath()) { }
    91 //  typedef ListGraph MutableGraph;
    92 //  while (max_flow_test.augmentOnBlockingFlow1<MutableGraph>()) {
    93 //  while (max_flow_test.augmentOnBlockingFlow2()) {
    94 //   cout << max_flow_test.flowValue() << endl;
    95 //  }
    96   cout << "matching value: " << max_flow_test.flowValue() << endl;
    97   cout << "elapsed time: " << ts << endl;
    98 //   FOR_EACH_LOC(stGW::EdgeIt, e, stgw) { 
    99 //     if (flow[e]) cout << e << endl; 
   100 //   }
   101   cout << endl;
   102 
   103   typedef ConstMap<Graph::Edge, int> EdgeCap; 
   104   EdgeCap ge1(1);
   105   typedef ConstMap<Graph::Node, int> NodeCap;
   106   NodeCap gn1(1);
   107   typedef Graph::EdgeMap<int> EdgeFlow;
   108   EdgeFlow gef(g); //0
   109   typedef Graph::NodeMap<int> NodeFlow; 
   110   NodeFlow gnf(g); //0 
   111 
   112   typedef stGW::EdgeMapWrapper<EdgeCap, NodeCap> CapMap; 
   113   typedef stGW::EdgeMapWrapper<EdgeFlow, NodeFlow> FlowMap; 
   114   CapMap cm(ge1, gn1);
   115   FlowMap fm(gef, gnf);
   116 
   117   //Timer ts;
   118   cout << "max bipartite matching with stGraphWrapper..." << endl;
   119   ts.reset();
   120   //stGW::EdgeMap<int> flow(stgw);
   121   MaxFlow<stGW, int, CapMap, FlowMap> 
   122     max_flow_test1(stgw, stgw.S_NODE, stgw.T_NODE, cm, fm);
   123   max_flow_test1.run();
   124 //  while (max_flow_test.augmentOnShortestPath()) { }
   125 //  typedef ListGraph MutableGraph;
   126 //  while (max_flow_test.augmentOnBlockingFlow1<MutableGraph>()) {
   127 //  while (max_flow_test.augmentOnBlockingFlow2()) {
   128 //   cout << max_flow_test.flowValue() << endl;
   129 //  }
   130   cout << "matching value: " << max_flow_test1.flowValue() << endl;
   131   cout << "elapsed time: " << ts << endl;
   132 //   FOR_EACH_LOC(Graph::EdgeIt, e, g) { 
   133 //     if (gef[e]) cout << e << endl; 
   134 //   }
   135   cout << endl;
   136 
   137   cout << "max bipartite matching with stGraphWrapper..." << endl;
   138   ts.reset();
   139   FOR_EACH_LOC(Graph::EdgeIt, e, g) gef.set(e, 0); 
   140   FOR_EACH_LOC(Graph::NodeIt, n, g) gnf.set(n, 0); 
   141   MaxBipartiteMatching<Graph, ConstMap<Graph::Edge, int>, ConstMap<Graph::Node, int>, 
   142     Graph::EdgeMap<int>, Graph::NodeMap<int> > 
   143     matching_test(g, ge1, gn1, gef, gnf);
   144   matching_test.run();
   145 
   146   cout << "matching value: " << matching_test.matchingValue() << endl;
   147   cout << "elapsed time: " << ts << endl;
   148 //   FOR_EACH_LOC(Graph::EdgeIt, e, g) { 
   149 //     if (gef[e]) cout << e << endl; 
   150 //   }
   151   cout << endl;
   152 
   153   cout << "max bipartite matching with MaxBipartiteMatching..." << endl;
   154   ts.reset();
   155   FOR_EACH_LOC(Graph::EdgeIt, e, g) gef.set(e, 0); 
   156   //FOR_EACH_LOC(Graph::NodeIt, n, g) gnf.set(n, 0); 
   157   typedef MaxBipartiteMatching<Graph, ConstMap<Graph::Edge, int>, 
   158     ConstMap<Graph::Node, int>, 
   159     Graph::EdgeMap<int>, Graph::NodeMap<int> > MaxBipartiteMatching;
   160   MaxBipartiteMatching matching_test_1(g, ge1, gn1, gef/*, gnf*/);
   161   matching_test_1.run();
   162 
   163   cout << "matching value: " << matching_test_1.matchingValue() << endl;
   164   cout << "elapsed time: " << ts << endl;
   165 //   FOR_EACH_LOC(Graph::EdgeIt, e, g) { 
   166 //     if (gef[e]) cout << e << endl; 
   167 //   }
   168   cout << endl;
   169 
   170   cout << "testing optimality with MaxBipartiteMatching..." << endl;
   171   ts.reset();
   172   matching_test_1.run(MaxBipartiteMatching::GEN_MATCHING);
   173   cout << "matching value: " << matching_test_1.matchingValue() << endl;
   174   cout << "elapsed time: " << ts << endl;
   175 
   176   cout << "testing optimality with MaxBipartiteMatching..." << endl;
   177   ts.reset();
   178   matching_test_1.run(MaxBipartiteMatching::GEN_MATCHING_WITH_GOOD_NODE_FLOW);
   179   cout << "matching value: " << matching_test_1.matchingValue() << endl;
   180   cout << "elapsed time: " << ts << endl;
   181 
   182   return 0;
   183 }