src/work/marci/bipartite_matching_try.cc
author marci
Tue, 17 Aug 2004 13:20:46 +0000
changeset 764 615aca7091d2
parent 642 e812963087f0
child 768 a5e9303a5511
permissions -rw-r--r--
An experimental LPSolverWrapper class which uses glpk. For a short
demo, max flow problems are solved with it. This demo does not
demonstrates, but the main aims of this class are row and column
generation capabilities, i.e. to be a core for easily
implementable branch-and-cut a column generetion algorithms.
     1 // -*- c++ -*-
     2 #include <iostream>
     3 #include <fstream>
     4 #include <vector>
     5 #include <cstdlib>
     6 
     7 #include <sage_graph.h>
     8 //#include <smart_graph.h>
     9 //#include <dimacs.h>
    10 #include <hugo/time_measure.h>
    11 #include <for_each_macros.h>
    12 #include <bfs_dfs.h>
    13 #include <hugo/graph_wrapper.h>
    14 #include <bipartite_graph_wrapper.h>
    15 #include <hugo/maps.h>
    16 #include <hugo/max_flow.h>
    17 #include <augmenting_flow.h>
    18 
    19 /**
    20  * Inicializalja a veletlenszamgeneratort.
    21  * Figyelem, ez nem jo igazi random szamokhoz,
    22  * erre ne bizzad a titkaidat!
    23  */
    24 void random_init()
    25 {
    26 	unsigned int seed = getpid();
    27 	seed |= seed << 15;
    28 	seed ^= time(0);
    29 
    30 	srand(seed);
    31 }
    32 
    33 /**
    34  * Egy veletlen int-et ad vissza 0 es m-1 kozott.
    35  */
    36 int random(int m)
    37 {
    38   return int( double(m) * rand() / (RAND_MAX + 1.0) );
    39 }
    40 
    41 using namespace hugo;
    42 
    43 int main() {
    44   typedef UndirSageGraph Graph; 
    45   typedef Graph::Node Node;
    46   typedef Graph::NodeIt NodeIt;
    47   typedef Graph::Edge Edge;
    48   typedef Graph::EdgeIt EdgeIt;
    49   typedef Graph::OutEdgeIt OutEdgeIt;
    50 
    51   Graph g;
    52 
    53   std::vector<Graph::Node> s_nodes;
    54   std::vector<Graph::Node> t_nodes;
    55 
    56   int a;
    57   std::cout << "number of nodes in the first color class=";
    58   std::cin >> a; 
    59   int b;
    60   std::cout << "number of nodes in the second color class=";
    61   std::cin >> b; 
    62   int m;
    63   std::cout << "number of edges=";
    64   std::cin >> m; 
    65   
    66 
    67   for (int i=0; i<a; ++i) s_nodes.push_back(g.addNode());
    68   for (int i=0; i<b; ++i) t_nodes.push_back(g.addNode());
    69 
    70   random_init();
    71   for(int i=0; i<m; ++i) {
    72     g.addEdge(s_nodes[random(a)], t_nodes[random(b)]);
    73   }
    74 
    75   Graph::NodeMap<int> ref_map(g, -1);
    76 
    77   IterableBoolMap< Graph::NodeMap<int> > bipartite_map(ref_map);
    78   for (int i=0; i<a; ++i) bipartite_map.insert(s_nodes[i], false);
    79   for (int i=0; i<b; ++i) bipartite_map.insert(t_nodes[i], true);
    80 
    81 //   Graph::Node u;
    82 //   std::cout << "These nodes will be in S:\n";
    83 //   //FIXME azert kellene ++, es invalid vizsgalat u-bol, hogy ezt le lehessen 
    84 //   //irni 1etlen FOR_EACH-csel.
    85 //   for (bipartite_map.first(u, false); g.valid(u); bipartite_map.next(u)) 
    86 //     std::cout << u << " ";
    87 //   std::cout << "\n";
    88 //   std::cout << "These nodes will be in T:\n";
    89 //   for (bipartite_map.first(u, true); g.valid(u); bipartite_map.next(u)) 
    90 //     std::cout << u << " ";
    91 //   std::cout << "\n";
    92 
    93   typedef BipartiteGraphWrapper<Graph> BGW;
    94   BGW bgw(g, bipartite_map);
    95 
    96 //   std::cout << "Nodes by NodeIt:\n";
    97 //   FOR_EACH_LOC(BGW::NodeIt, n, bgw) {
    98 //     std::cout << n << " ";
    99 //   }
   100 //   std::cout << "\n";
   101 //   std::cout << "Nodes in S by ClassNodeIt:\n";
   102 //   FOR_EACH_INC_LOC(BGW::ClassNodeIt, n, bgw, bgw.S_CLASS) {
   103 //     std::cout << n << " ";
   104 //   }
   105 //   std::cout << "\n";
   106 //   std::cout << "Nodes in T by ClassNodeIt:\n";
   107 //   FOR_EACH_INC_LOC(BGW::ClassNodeIt, n, bgw, bgw.T_CLASS) {
   108 //     std::cout << n << " ";
   109 //   }
   110 //   std::cout << "\n";
   111 //   std::cout << "Edges of the bipartite graph:\n";
   112 //   FOR_EACH_LOC(BGW::EdgeIt, e, bgw) {
   113 //     std::cout << bgw.tail(e) << "->" << bgw.head(e) << std::endl;
   114 //   }
   115 
   116 //  BGW::NodeMap<int> dbyj(bgw);
   117 //  BGW::EdgeMap<int> dbyxcj(bgw);
   118 
   119   typedef stGraphWrapper<BGW> stGW;
   120   stGW stgw(bgw);
   121   ConstMap<stGW::Edge, int> const1map(1);
   122 //  stGW::NodeMap<int> ize(stgw);
   123 
   124 //   BfsIterator< BGW, BGW::NodeMap<bool> > bfs(bgw);
   125 //   Graph::NodeIt si;
   126 //   Graph::Node s; 
   127 //   s=g.first(si);
   128 //   bfs.pushAndSetReached(BGW::Node(s));
   129 //   while (!bfs.finished()) { ++bfs; }
   130 
   131 //   FOR_EACH_LOC(stGW::NodeIt, n, stgw) { 
   132 //     std::cout << "out-edges of " << n << ":\n"; 
   133 //     FOR_EACH_INC_LOC(stGW::OutEdgeIt, e, stgw, n) { 
   134 //       std::cout << " " << e << "\n";
   135 //       std::cout << " aNode: " << stgw.aNode(e) << "\n";
   136 //       std::cout << " bNode: " << stgw.bNode(e) << "\n";      
   137 //     }
   138 //     std::cout << "in-edges of " << n << ":\n"; 
   139 //     FOR_EACH_INC_LOC(stGW::InEdgeIt, e, stgw, n) { 
   140 //       std::cout << " " << e << "\n";
   141 //       std::cout << " aNode: " << stgw.aNode(e) << "\n";
   142 //       std::cout << " bNode: " << stgw.bNode(e) << "\n";     
   143 //     }
   144 //   }
   145 //   std::cout << "Edges of the stGraphWrapper:\n"; 
   146 //   FOR_EACH_LOC(stGW::EdgeIt, n, stgw) { 
   147 //     std::cout << " " << n << "\n";
   148 //   }
   149 
   150 //   stGW::NodeMap<bool> b(stgw);
   151 //   FOR_EACH_LOC(stGW::NodeIt, n, stgw) { 
   152 //     std::cout << n << ": " << b[n] <<"\n";
   153 //   }
   154 
   155 //   std::cout << "Bfs from s: \n";
   156 //   BfsIterator< stGW, stGW::NodeMap<bool> > bfs_stgw(stgw);
   157 //   bfs_stgw.pushAndSetReached(stgw.S_NODE);
   158 //   while (!bfs_stgw.finished()) { 
   159 //     std::cout << " " << stGW::OutEdgeIt(bfs_stgw) << "\n";
   160 //     ++bfs_stgw; 
   161 //   }
   162 
   163 
   164   Timer ts;
   165   ts.reset();
   166   stGW::EdgeMap<int> max_flow(stgw);
   167   AugmentingFlow<stGW, int, ConstMap<stGW::Edge, int>, stGW::EdgeMap<int> > 
   168     max_flow_test(stgw, stgw.S_NODE, stgw.T_NODE, const1map, max_flow);
   169 //  while (max_flow_test.augmentOnShortestPath()) { }
   170   typedef SageGraph MutableGraph;
   171 //  while (max_flow_test.augmentOnBlockingFlow1<MutableGraph>()) {
   172   while (max_flow_test.augmentOnBlockingFlow2()) {
   173    std::cout << max_flow_test.flowValue() << std::endl;
   174   }
   175   std::cout << "max flow value: " << max_flow_test.flowValue() << std::endl;
   176   std::cout << "elapsed time: " << ts << std::endl;
   177 //   FOR_EACH_LOC(stGW::EdgeIt, e, stgw) { 
   178 //     std::cout << e << ": " << max_flow[e] << "\n"; 
   179 //   }
   180 //   std::cout << "\n";
   181 
   182   ts.reset();
   183   stGW::EdgeMap<int> pre_flow(stgw);
   184   MaxFlow<stGW, int, ConstMap<stGW::Edge, int>, stGW::EdgeMap<int> > 
   185     pre_flow_test(stgw, stgw.S_NODE, stgw.T_NODE, const1map, pre_flow/*, true*/);
   186   pre_flow_test.run();
   187   std::cout << "pre flow value: " << max_flow_test.flowValue() << std::endl;
   188   std::cout << "elapsed time: " << ts << std::endl;
   189 //   FOR_EACH_LOC(stGW::EdgeIt, e, stgw) { 
   190 //     std::cout << e << ": " << pre_flow[e] << "\n"; 
   191 //   }
   192 //   std::cout << "\n";
   193 
   194   return 0;
   195 }