src/work/marci/max_bipartite_matching_demo.cc
author marci
Wed, 17 Mar 2004 17:04:41 +0000
changeset 197 fff43d9c7110
parent 196 8a9b9360463e
child 198 5cec393baade
permissions -rw-r--r--
.
     1 // -*- c++ -*-
     2 #include <iostream>
     3 #include <fstream>
     4 #include <vector>
     5 #include <cstdlib>
     6 
     7 #include <LEDA/graph.h>
     8 #include <LEDA/mcb_matching.h>
     9 #include <LEDA/list.h>
    10 
    11 #include <leda_graph_wrapper.h>
    12 #include <list_graph.h>
    13 #include <dimacs.h>
    14 #include <time_measure.h>
    15 #include <edmonds_karp.h>
    16 
    17 /**
    18  * Inicializalja a veletlenszamgeneratort.
    19  * Figyelem, ez nem jo igazi random szamokhoz,
    20  * erre ne bizzad a titkaidat!
    21  */
    22 void random_init()
    23 {
    24 	unsigned int seed = getpid();
    25 	seed |= seed << 15;
    26 	seed ^= time(0);
    27 
    28 	srand(seed);
    29 }
    30 
    31 /**
    32  * Egy veletlen int-et ad vissza 0 es m-1 kozott.
    33  */
    34 int random(int m)
    35 {
    36 	return int( double(m) * rand() / (RAND_MAX + 1.0) );
    37 }
    38 
    39 using namespace hugo;
    40 
    41 using std::cout; 
    42 using std::cin; 
    43 using std::endl;
    44 
    45 int main() {
    46    leda::graph g;
    47    typedef LedaGraphWrapper<leda::graph> Graph;
    48    Graph G(g);
    49 //  typedef ListGraph Graph;
    50 //  Graph G;
    51 
    52   typedef Graph::Node Node;
    53   typedef Graph::NodeIt NodeIt;  
    54   typedef Graph::Edge Edge;
    55   typedef Graph::EdgeIt EdgeIt;
    56   typedef Graph::OutEdgeIt OutEdgeIt;
    57   typedef Graph::InEdgeIt InEdgeIt;
    58 
    59   //Node s, t;
    60   //Graph::EdgeMap<int> cap(G);
    61   //readDimacsMaxFlow(std::cin, G, s, t, cap);
    62   std::vector<Node> s_nodes;
    63   std::vector<Node> t_nodes;
    64 
    65   int a;
    66   cout << "number of nodes in the first color class=";
    67   cin >> a; 
    68   int b;
    69   cout << "number of nodes in the second color class=";
    70   cin >> b; 
    71   int m;
    72   cout << "number of edges=";
    73   cin >> m; 
    74   
    75 
    76   for(int i=0; i<a; ++i) {
    77     s_nodes.push_back(G.addNode());
    78   }
    79   for(int i=0; i<a; ++i) {
    80     t_nodes.push_back(G.addNode());
    81   }
    82   random_init();
    83   for(int i=0; i<m; ++i) {
    84     G.addEdge(s_nodes[random(a)], t_nodes[random(b)]);
    85   }
    86   
    87 //   G.addEdge(s_nodes[1], t_nodes[5-4]);
    88 //   G.addEdge(s_nodes[1], t_nodes[5-4]);
    89 //   G.addEdge(s_nodes[1], t_nodes[4-4]);
    90 //   G.addEdge(s_nodes[1], t_nodes[4-4]);
    91 //   G.addEdge(s_nodes[2], t_nodes[4-4]);
    92 //   G.addEdge(s_nodes[3], t_nodes[4-4]);
    93 
    94 
    95   Graph::NodeMap<bool> s_map(G); //false
    96   Graph::NodeMap<bool> t_map(G); //false
    97   
    98   for(int i=0; i<a; ++i) s_map.set(s_nodes[i], true);
    99   for(int i=0; i<b; ++i) t_map.set(t_nodes[i], true);
   100 
   101 //   cout << "bfs and dfs iterator demo on the directed graph" << endl;
   102 //   for(NodeIt n=G.first<NodeIt>(); G.valid(n); G.next(n)) { 
   103 //     cout << G.id(n) << ": ";
   104 //     cout << "out edges: ";
   105 //     for(OutEdgeIt e=G.first<OutEdgeIt>(n); G.valid(e); G.next(e)) 
   106 //       cout << G.id(G.tail(e)) << "->" << G.id(G.head(e)) << " ";
   107 //     cout << "in edges: ";
   108 //     for(InEdgeIt e=G.first<InEdgeIt>(n); G.valid(e); G.next(e)) 
   109 //       cout << G.id(G.tail(e)) << "->" << G.id(G.head(e)) << " ";
   110 //     cout << endl;
   111 //   }
   112 
   113 
   114   {
   115     std::cout << "on-the-fly max bipartite matching demo on wrapped leda graph..." << std::endl;
   116     Graph::EdgeMap<int> flow(G); //0 flow
   117     Graph::EdgeMap<int> cap(G, 1);
   118 
   119     Timer ts;
   120     ts.reset();
   121 
   122     MaxMatching<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > max_flow_test(G, s_map, t_map, flow, cap);
   123     int i=0;
   124     while (max_flow_test.augmentOnShortestPath()) { 
   125 //       for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  
   126 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";
   127 //       std::cout<<std::endl;
   128       ++i; 
   129     }
   130 
   131 //     std::cout << "maximum matching: "<< std::endl;
   132 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  
   133 //       if (flow.get(e))
   134 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";
   135 //     std::cout<<std::endl;
   136 //     std::cout << "edges which are not in this maximum matching: "<< std::endl;
   137 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  
   138 //       if (!flow.get(e))
   139 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";
   140 //     std::cout<<std::endl;
   141     
   142     std::cout << "elapsed time: " << ts << std::endl;
   143     std::cout << "number of augmentation phases: " << i << std::endl; 
   144     std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl;
   145   }
   146 
   147   {
   148     std::cout << "on-the-fly max bipartite matching demo (Hopcroft-Karp) on wrapped leda graph..." << std::endl;
   149     Graph::EdgeMap<int> flow(G); //0 flow
   150     Graph::EdgeMap<int> cap(G, 1);
   151 
   152     Timer ts;
   153     ts.reset();
   154 
   155     MaxMatching<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > max_flow_test(G, s_map, t_map, flow, cap);
   156     int i=0;
   157     while (max_flow_test.augmentOnBlockingFlow2()) { 
   158 //       for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  
   159 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";
   160 //       std::cout<<std::endl;
   161       ++i; 
   162     }
   163 
   164 //     std::cout << "maximum matching: "<< std::endl;
   165 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  
   166 //       if (flow.get(e))
   167 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";
   168 //     std::cout<<std::endl;
   169 //     std::cout << "edges which are not in this maximum matching: "<< std::endl;
   170 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  
   171 //       if (!flow.get(e))
   172 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";
   173 //     std::cout<<std::endl;
   174     
   175     std::cout << "elapsed time: " << ts << std::endl;
   176     std::cout << "number of augmentation phases: " << i << std::endl; 
   177     std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl;
   178   }
   179 
   180   {
   181     std::cout << "max bipartite matching (LEDA)..." << std::endl;
   182     //Graph::EdgeMap<int> flow(G); //0 flow
   183     //Graph::EdgeMap<int> cap(G, 1);
   184 
   185     Timer ts;
   186     ts.reset();
   187 
   188     //MaxMatching<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > max_flow_test(G, s_map, t_map, flow, cap);
   189     //int i=0;
   190     //while (max_flow_test.augmentOnShortestPath()) { ++i; }
   191 
   192     leda_list<leda_edge> l=MAX_CARD_BIPARTITE_MATCHING(g);    
   193     
   194 
   195 //     std::cout << "maximum matching: "<< std::endl;
   196 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  
   197 //       if (flow.get(e))
   198 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";
   199 //     std::cout<<std::endl;
   200 //     std::cout << "edges which are not in this maximum matching: "<< std::endl;
   201 //     for(EdgeIt e=G.first<EdgeIt>(); G.valid(e); G.next(e))  
   202 //       if (!flow.get(e))
   203 // 	std::cout << G.id(G.tail(e)) << "-" << flow.get(e) << "->" << G.id(G.head(e)) << " ";
   204 //     std::cout<<std::endl;
   205     
   206     
   207     std::cout << "elapsed time: " << ts << std::endl;
   208     //std::cout << "number of augmentation phases: " << i << std::endl; 
   209     std::cout << "flow value: "<< l.size() << std::endl;
   210   }
   211   
   212   
   213 
   214   return 0;
   215 }