src/work/marci_graph_demo.cc
author jacint
Sun, 22 Feb 2004 12:17:16 +0000
changeset 113 cf7b01232d86
parent 75 87623302a68f
child 133 0631992fe7a1
permissions -rw-r--r--
*** empty log message ***
     1 #include <iostream>
     2 #include <vector>
     3 #include <string>
     4 
     5 #include <list_graph.hh>
     6 #include <bfs_iterator.hh>
     7 #include <edmonds_karp.hh>
     8 
     9 using namespace hugo;
    10 
    11 int main (int, char*[])
    12 {
    13   typedef ListGraph::NodeIt NodeIt;
    14   typedef ListGraph::EdgeIt EdgeIt;
    15   typedef ListGraph::EachNodeIt EachNodeIt;
    16   typedef ListGraph::EachEdgeIt EachEdgeIt;
    17   typedef ListGraph::OutEdgeIt OutEdgeIt;
    18   typedef ListGraph::InEdgeIt InEdgeIt;
    19   typedef ListGraph::SymEdgeIt SymEdgeIt;
    20   ListGraph G;
    21   std::vector<NodeIt> vector_of_NodeIts;
    22   for(int i=0; i!=8; ++i) vector_of_NodeIts.push_back(G.addNode());
    23   for(int i=0; i!=8; ++i)
    24     for(int j=0; j!=8; ++j) 
    25       if ((i<j)&&(i+j)%3) G.addEdge(vector_of_NodeIts[i], vector_of_NodeIts[j]);
    26 
    27   std::cout << "We construct a directed graph on the node set {0,1,2,...,7}," <<std::endl << "i-->j is arc iff i<j and (i+j)%3." << std::endl;
    28   std::cout << "number of nodes: " << count(G.first<EachNodeIt>()) << std::endl;
    29 
    30   for(EachNodeIt i=G.first<EachNodeIt>(); i.valid(); ++i) {
    31     std::cout << "node " << G.id(i) << std::endl;
    32     std::cout << " outdegree (OutEdgeIt): " << count(G.first<OutEdgeIt>(i)) << " "; 
    33     for(OutEdgeIt j=G.first<OutEdgeIt>(i); j.valid(); ++j) { 
    34       std::cout << "(" << G.id(G.tail(j)) << "--" << G.id(j) << "->" << G.id(G.head(j)) << ") ";
    35     }
    36     std::cout << std::endl; 
    37 
    38     std::cout<< " ";
    39     for(OutEdgeIt j=G.first<OutEdgeIt>(i); j.valid(); ++j) { 
    40       std::cout << G.aNode(j) << "->" << G.bNode(j) << " "; } 
    41     std::cout<<std::endl;
    42 
    43     std::cout << " indegree: (InEdgeIt) " << count(G.first<InEdgeIt>(i)) << " ";
    44     for(InEdgeIt j=G.first<InEdgeIt>(i); j.valid(); ++j) { 
    45       std::cout << j << " "; } 
    46     std::cout << std::endl;
    47 
    48     std::cout<< " ";
    49     for(InEdgeIt j=G.first<InEdgeIt>(i); j.valid(); ++j) { 
    50       std::cout << G.aNode(j) << "->" << G.bNode(j) << " "; } 
    51     std::cout<<std::endl;
    52 
    53     std::cout << " degree: (SymEdgeIt) " << count(G.first<SymEdgeIt>(i)) << " ";
    54     for(SymEdgeIt j=G.first<SymEdgeIt>(i); j.valid(); ++j) { 
    55       std::cout << j << " "; } 
    56     std::cout<<std::endl;
    57 
    58     std::cout<< " ";
    59     for(SymEdgeIt j=G.first<SymEdgeIt>(i); j.valid(); ++j) { 
    60       std::cout << G.aNode(j) << "->" << G.bNode(j) << " "; } 
    61     std::cout<<std::endl;
    62   }
    63 
    64   std::cout << "all edges: ";
    65   for(EachEdgeIt i=G.first<EachEdgeIt>(); i.valid(); ++i) {
    66     std::cout << i << " ";
    67   }
    68   std::cout << std::endl;
    69 
    70   std::cout << "node property array test" << std::endl;
    71   ListGraph::NodeMap<int> my_property_vector(G);
    72   EachNodeIt v;
    73   G.getFirst(v);
    74   my_property_vector.set(v, 42);
    75   my_property_vector.set(++G.first<EachNodeIt>(), 314);
    76   my_property_vector.set(++++G.first<EachNodeIt>(), 1956);
    77   my_property_vector.set(vector_of_NodeIts[3], 1989);
    78   my_property_vector.set(vector_of_NodeIts[4], 2003);
    79   my_property_vector.set(vector_of_NodeIts[7], 1978);
    80   std::cout << "some node property values..." << std::endl;
    81   for(EachNodeIt i=G.first<EachNodeIt>(); i.valid(); ++i) {
    82     std::cout << my_property_vector.get(i) << std::endl;
    83   }
    84   int _i=1;
    85   int _ii=1;
    86   ListGraph::EdgeMap<int> my_edge_property(G);
    87   for(EachEdgeIt i=G.first<EachEdgeIt>(); i.valid(); ++i) {
    88     my_edge_property.set(i, _i);
    89     _i*=_ii; ++_ii;
    90   }
    91 
    92   std::cout << "node and edge property values on the tails and heads of edges..." << std::endl;
    93   for(EachEdgeIt j=G.first<EachEdgeIt>(); j.valid(); ++j) {
    94     std::cout << my_property_vector.get(G.tail(j)) << "--" << my_edge_property.get(j) << "-->" << my_property_vector.get(G.head(j)) << " ";
    95   }
    96   std::cout << std::endl;
    97 /*
    98   std::cout << "bfs from the first node" << std::endl;
    99   bfs<ListGraph> bfs_test(G, G.first<EachNodeIt>());
   100   bfs_test.run();
   101   std::cout << "reached: ";
   102   for(EachNodeIt i=G.first<EachNodeIt>(); i.valid(); ++i) {
   103     std::cout << bfs_test.reached.get(i) << " ";
   104   }
   105   std::cout<<std::endl;
   106   std::cout << "dist: ";
   107   for(EachNodeIt i=G.first<EachNodeIt>(); i.valid(); ++i) {
   108     std::cout << bfs_test.dist.get(i) << " ";
   109   }
   110   std::cout<<std::endl;
   111 */
   112 
   113   std::cout << "augmenting path flow algorithm test..." << std::endl;
   114   ListGraph flowG;
   115 
   116   NodeIt s=flowG.addNode();
   117   NodeIt v1=flowG.addNode();
   118   NodeIt v2=flowG.addNode();
   119   NodeIt v3=flowG.addNode();
   120   NodeIt v4=flowG.addNode();
   121   NodeIt t=flowG.addNode();
   122   
   123   ListGraph::NodeMap<std::string> node_name(flowG);
   124   node_name.set(s, "s");
   125   node_name.set(v1, "v1");
   126   node_name.set(v2, "v2");
   127   node_name.set(v3, "v3");
   128   node_name.set(v4, "v4");
   129   node_name.set(t, "t");
   130 
   131   EdgeIt s_v1=flowG.addEdge(s, v1);
   132   EdgeIt s_v2=flowG.addEdge(s, v2);
   133   EdgeIt v1_v2=flowG.addEdge(v1, v2);
   134   EdgeIt v2_v1=flowG.addEdge(v2, v1);
   135   EdgeIt v1_v3=flowG.addEdge(v1, v3);
   136   EdgeIt v3_v2=flowG.addEdge(v3, v2);
   137   EdgeIt v2_v4=flowG.addEdge(v2, v4);
   138   EdgeIt v4_v3=flowG.addEdge(v4, v3);
   139   EdgeIt v3_t=flowG.addEdge(v3, t);
   140   EdgeIt v4_t=flowG.addEdge(v4, t);
   141 
   142   ListGraph::EdgeMap<int> cap(flowG);
   143 
   144   cap.set(s_v1, 16);
   145   cap.set(s_v2, 13);
   146   cap.set(v1_v2, 10);
   147   cap.set(v2_v1, 4);
   148   cap.set(v1_v3, 12);
   149   cap.set(v3_v2, 9);
   150   cap.set(v2_v4, 14);
   151   cap.set(v4_v3, 7);
   152   cap.set(v3_t, 20);
   153   cap.set(v4_t, 4);
   154 
   155   std::cout << "on directed graph graph" << std::endl; //<< flowG;
   156   std::cout << "names and capacity values" << std::endl; 
   157   for(EachNodeIt i=flowG.first<EachNodeIt>(); i.valid(); ++i) { 
   158     std::cout << node_name.get(i) << ": ";
   159     std::cout << "out edges: ";
   160     for(OutEdgeIt j=flowG.first<OutEdgeIt>(i); j.valid(); ++j) 
   161       std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
   162     std::cout << "in edges: ";
   163     for(InEdgeIt j=flowG.first<InEdgeIt>(i); j.valid(); ++j) 
   164       std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
   165     std::cout << std::endl;
   166   }
   167 
   168   //flowG.deleteEdge(s_v1);
   169   //flowG.deleteEdge(s_v2);
   170   //flowG.deleteEdge(v1_v2);
   171   //flowG.deleteEdge(v1_v3);
   172   
   173 
   174   //flowG.setTail(v3_t, v2);
   175   //flowG.setHead(v3_t, s);
   176 /*
   177   for(EachNodeIt i=flowG.first<EachNodeIt>(); i.valid(); ++i) { 
   178     std::cout << node_name.get(i) << ": ";
   179     std::cout << "out edges: ";
   180     for(OutEdgeIt j=flowG.first<OutEdgeIt>(i); j.valid(); ++j) 
   181       std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
   182     std::cout << "in edges: ";
   183     for(InEdgeIt j=flowG.first<InEdgeIt>(i); j.valid(); ++j) 
   184       std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
   185     std::cout << std::endl;
   186   }
   187   
   188   for(EachEdgeIt e=flowG.first<EachEdgeIt>(); e.valid(); ++e) {
   189     std::cout << node_name.get(flowG.tail(e)) << "-"<< cap.get(e) << "->" << node_name.get(flowG.head(e)) << " ";
   190   }
   191 */
   192   /*
   193   while (flowG.first<EachEdgeIt>().valid()) {
   194     flowG.deleteEdge(flowG.first<EachEdgeIt>());
   195     for(EachNodeIt i=flowG.first<EachNodeIt>(); i.valid(); ++i) { 
   196       std::cout << node_name.get(i) << ": ";
   197       std::cout << "out edges: ";
   198       for(OutEdgeIt j=flowG.first<OutEdgeIt>(i); j.valid(); ++j) 
   199 	std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
   200       std::cout << "in edges: ";
   201       for(InEdgeIt j=flowG.first<InEdgeIt>(i); j.valid(); ++j) 
   202 	std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
   203       std::cout << std::endl;
   204     }
   205   }
   206   
   207   while (flowG.first<EachNodeIt>().valid()) {
   208     flowG.deleteNode(flowG.first<EachNodeIt>());
   209     for(EachNodeIt i=flowG.first<EachNodeIt>(); i.valid(); ++i) { 
   210       std::cout << node_name.get(i) << ": ";
   211       std::cout << "out edges: ";
   212       for(OutEdgeIt j=flowG.first<OutEdgeIt>(i); j.valid(); ++j) 
   213 	std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
   214       std::cout << "in edges: ";
   215       for(InEdgeIt j=flowG.first<InEdgeIt>(i); j.valid(); ++j) 
   216 	std::cout << node_name.get(flowG.tail(j)) << "-"<< cap.get(j) << "->" << node_name.get(flowG.head(j)) << " ";
   217       std::cout << std::endl;
   218     }
   219   }
   220   */
   221 
   222   //std::cout << std::endl;
   223 
   224 
   225   {
   226     ListGraph::EdgeMap<int> flow(flowG, 0);
   227     MaxFlow<ListGraph, int, ListGraph::EdgeMap<int>, ListGraph::EdgeMap<int> > max_flow_test(flowG, s, t, flow, cap);
   228     max_flow_test.run();
   229     
   230     std::cout << "maximum flow: "<< std::endl;
   231     for(EachEdgeIt e=flowG.template first<EachEdgeIt>(); e.valid(); ++e) { 
   232       std::cout<<"("<<flowG.tail(e)<< "-"<<flow.get(e)<<"->"<<flowG.head(e)<<") ";
   233     }
   234     std::cout<<std::endl;
   235     std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl;
   236   }
   237 
   238   {
   239     std::list<NodeIt> S;
   240     S.push_back(s); S.push_back(v3);
   241     std::list<NodeIt> T;
   242     T.push_back(t);
   243 
   244     ListGraph::EdgeMap<int> flow(flowG, 0);
   245     MaxFlow2<ListGraph, int, ListGraph::EdgeMap<int>, ListGraph::EdgeMap<int> > max_flow_test(flowG, S, T, flow, cap);
   246     max_flow_test.run();
   247     
   248     std::cout << "maximum flow: "<< std::endl;
   249     for(EachEdgeIt e=flowG.template first<EachEdgeIt>(); e.valid(); ++e) { 
   250       std::cout<<"("<<flowG.tail(e)<< "-"<<flow.get(e)<<"->"<<flowG.head(e)<<") ";
   251     }
   252     std::cout<<std::endl;
   253     std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl;
   254   }
   255 
   256   return 0;
   257 }