src/work/flow_test.cc
author marci
Wed, 18 Feb 2004 13:06:41 +0000
changeset 96 e2e18eb0fd10
child 107 8d62f0072ff0
permissions -rw-r--r--
numerical results
     1 #include <iostream>
     2 #include <vector>
     3 #include <string>
     4 
     5 #include <marci_list_graph.hh>
     6 #include <marci_graph_traits.hh>
     7 #include <marci_property_vector.hh>
     8 #include <preflow_push_hl.hh>
     9 #include <preflow_push_max_flow.hh>
    10 #include <reverse_bfs.hh>
    11 #include <dijkstra.hh>
    12 
    13 using namespace marci;
    14 
    15 
    16 int main (int, char*[])
    17 {
    18   typedef graph_traits<list_graph>::node_iterator node_iterator;
    19   typedef graph_traits<list_graph>::edge_iterator edge_iterator;
    20   typedef graph_traits<list_graph>::each_node_iterator each_node_iterator;
    21   typedef graph_traits<list_graph>::each_edge_iterator each_edge_iterator;
    22   typedef graph_traits<list_graph>::out_edge_iterator out_edge_iterator;
    23   typedef graph_traits<list_graph>::in_edge_iterator in_edge_iterator;
    24   typedef graph_traits<list_graph>::sym_edge_iterator sym_edge_iterator;
    25 
    26   list_graph flow_test;
    27  
    28     //Ahuja könyv példája, maxflowvalue=13
    29   node_iterator s=flow_test.add_node();
    30   node_iterator v1=flow_test.add_node();
    31   node_iterator v2=flow_test.add_node();
    32   node_iterator v3=flow_test.add_node();
    33   node_iterator v4=flow_test.add_node();
    34   node_iterator v5=flow_test.add_node();
    35   node_iterator t=flow_test.add_node();
    36   
    37   node_property_vector<list_graph, std::string> node_name(flow_test);
    38   node_name.put(s, "s");
    39   node_name.put(v1, "v1");
    40   node_name.put(v2, "v2");
    41   node_name.put(v3, "v3");
    42   node_name.put(v4, "v4");
    43   node_name.put(v5, "v5");
    44   node_name.put(t, "t");
    45 
    46   edge_iterator s_v1=flow_test.add_edge(s, v1);
    47   edge_iterator s_v2=flow_test.add_edge(s, v2);
    48   edge_iterator s_v3=flow_test.add_edge(s, v3);
    49   edge_iterator v2_v4=flow_test.add_edge(v2, v4);
    50   edge_iterator v2_v5=flow_test.add_edge(v2, v5);
    51   edge_iterator v3_v5=flow_test.add_edge(v3, v5);
    52   edge_iterator v4_t=flow_test.add_edge(v4, t);
    53   edge_iterator v5_t=flow_test.add_edge(v5, t);
    54   edge_iterator v2_s=flow_test.add_edge(v2, s);
    55   
    56   edge_property_vector<list_graph, int> cap(flow_test);  
    57   cap.put(s_v1, 0);
    58   cap.put(s_v2, 10);
    59   cap.put(s_v3, 10);
    60   cap.put(v2_v4, 5);
    61   cap.put(v2_v5, 8);
    62   cap.put(v3_v5, 5);
    63   cap.put(v4_t, 8);
    64   cap.put(v5_t, 8);
    65   cap.put(v2_s, 0);
    66 
    67 
    68   
    69   //Marci példája, maxflowvalue=23
    70   /*  node_iterator s=flow_test.add_node();
    71   node_iterator v1=flow_test.add_node();
    72   node_iterator v2=flow_test.add_node();
    73   node_iterator v3=flow_test.add_node();
    74   node_iterator v4=flow_test.add_node();
    75   node_iterator t=flow_test.add_node();
    76   node_iterator w=flow_test.add_node();
    77 
    78   
    79   node_property_vector<list_graph, std::string> node_name(flow_test);
    80   node_name.put(s, "s");
    81   node_name.put(v1, "v1");
    82   node_name.put(v2, "v2");
    83   node_name.put(v3, "v3");
    84   node_name.put(v4, "v4");
    85   node_name.put(t, "t");
    86   node_name.put(w, "w");
    87 
    88   edge_iterator s_v1=flow_test.add_edge(s, v1);
    89   edge_iterator s_v2=flow_test.add_edge(s, v2);
    90   edge_iterator v1_v2=flow_test.add_edge(v1, v2);
    91   edge_iterator v2_v1=flow_test.add_edge(v2, v1);
    92   edge_iterator v1_v3=flow_test.add_edge(v1, v3);
    93   edge_iterator v3_v2=flow_test.add_edge(v3, v2);
    94   edge_iterator v2_v4=flow_test.add_edge(v2, v4);
    95   edge_iterator v4_v3=flow_test.add_edge(v4, v3);
    96   edge_iterator v3_t=flow_test.add_edge(v3, t);
    97   edge_iterator v4_t=flow_test.add_edge(v4, t);
    98   edge_iterator v3_v3=flow_test.add_edge(v3, v3);
    99   edge_iterator s_w=flow_test.add_edge(s, w);
   100   //  edge_iterator v2_s=flow_test.add_edge(v2, s);
   101   
   102 
   103 
   104   edge_property_vector<list_graph, int> cap(flow_test);  //serves as length in dijkstra
   105   cap.put(s_v1, 16);
   106   cap.put(s_v2, 13);
   107   cap.put(v1_v2, 10);
   108   cap.put(v2_v1, 4);
   109   cap.put(v1_v3, 12);
   110   cap.put(v3_v2, 9);
   111   cap.put(v2_v4, 14);
   112   cap.put(v4_v3, 7);
   113   cap.put(v3_t, 20);
   114   cap.put(v4_t, 4);
   115   cap.put(v3_v3, 4);
   116   cap.put(s_w, 4);
   117   //  cap.put(v2_s, 0);
   118 
   119 */
   120 
   121   //pelda 3, maxflowvalue=4
   122   /*      node_iterator s=flow_test.add_node();
   123   node_iterator v1=flow_test.add_node();
   124   node_iterator v2=flow_test.add_node();
   125   node_iterator t=flow_test.add_node();
   126   node_iterator w=flow_test.add_node();
   127   
   128   node_property_vector<list_graph, std::string> node_name(flow_test);
   129   node_name.put(s, "s");
   130   node_name.put(v1, "v1");
   131   node_name.put(v2, "v2");
   132   node_name.put(t, "t");
   133   node_name.put(w, "w");
   134 
   135   edge_iterator s_v1=flow_test.add_edge(s, v1);
   136   edge_iterator v1_v2=flow_test.add_edge(v1, v2);
   137   edge_iterator v2_t=flow_test.add_edge(v2, t);
   138   edge_iterator v1_v1=flow_test.add_edge(v1, v1);
   139   edge_iterator s_w=flow_test.add_edge(s, w);
   140 
   141 
   142   edge_property_vector<list_graph, int> cap(flow_test); 
   143     
   144   cap.put(s_v1, 16);
   145   cap.put(v1_v2, 10);
   146   cap.put(v2_t, 4);
   147   cap.put(v1_v1, 3);
   148   cap.put(s_w, 5);
   149   */
   150   
   151 
   152 
   153 
   154   std::cout << "Testing reverse_bfs..." << std::endl;
   155   
   156   reverse_bfs<list_graph> bfs_test(flow_test, t);
   157 
   158   bfs_test.run();
   159 
   160   for (each_node_iterator w=flow_test.first_node(); w.valid(); ++w) {
   161     std::cout <<"The distance of " << w << " is " << bfs_test.dist(w) <<std::endl;
   162     }
   163 
   164 
   165 
   166 
   167 
   168   std::cout << "Testing preflow_push_hl..." << std::endl;
   169   
   170   preflow_push_hl<list_graph, int> preflow_push_test(flow_test, s, t, cap);
   171 
   172   preflow_push_test.run();
   173 
   174   std::cout << "Maximum flow value is: " << preflow_push_test.maxflow() << "."<<std::endl;
   175 
   176   std::cout<< "The flow on edge s-v1 is "<< preflow_push_test.flowonedge(s_v1) << "."<<std::endl;
   177 
   178   edge_property_vector<list_graph, int> flow=preflow_push_test.allflow();  
   179   for (each_edge_iterator e=flow_test.first_edge(); e.valid(); ++e) {
   180     std::cout <<"Flow on edge " << flow_test.tail(e) <<"-" << flow_test.head(e)<< " is " <<flow.get(e) <<std::endl;
   181     }
   182 
   183   std::cout << "A minimum cut: " <<std::endl;  
   184   node_property_vector<list_graph, bool> mincut=preflow_push_test.mincut();
   185 
   186   for (each_node_iterator v=flow_test.first_node(); v.valid(); ++v) {
   187       if (mincut.get(v)) std::cout <<node_name.get(v)<< " ";
   188     }
   189   
   190   std::cout<<"\n\n"<<std::endl;
   191 
   192 
   193 
   194 
   195   std::cout << "Testing preflow_push_max_flow..." << std::endl;
   196  
   197   preflow_push_max_flow<list_graph, int> max_flow_test(flow_test, s, t, cap);
   198 
   199   max_flow_test.run();
   200 
   201   std::cout << "Maximum flow value is: " << max_flow_test.maxflow() << "."<< std::endl;
   202 
   203   std::cout << "A minimum cut: " <<std::endl;  
   204   node_property_vector<list_graph, bool> mincut2=max_flow_test.mincut();
   205 
   206   for (each_node_iterator v=flow_test.first_node(); v.valid(); ++v) {
   207     if (mincut2.get(v)) std::cout <<node_name.get(v)<< " ";
   208   }
   209   
   210   std::cout << std::endl <<std::endl;
   211 
   212 
   213 
   214     std::cout << "Testing dijkstra..." << std::endl;
   215   
   216     node_iterator root=v2;
   217 
   218     dijkstra<list_graph, int> dijkstra_test(flow_test, root, cap);
   219 
   220     dijkstra_test.run();
   221 
   222     for (each_node_iterator w=flow_test.first_node(); w.valid(); ++w) {
   223       if (dijkstra_test.reach(w)) {
   224       std::cout <<"The distance of " << w << " is " << dijkstra_test.dist(w);
   225       if (dijkstra_test.pred(w).valid()) {
   226       std::cout <<", a shortest path from the root ends with edge " << dijkstra_test.pred(w) <<std::endl; 
   227       } else {
   228        std::cout <<", this is the root."<<std::endl; }
   229       
   230       } else {
   231 	cout << w << " is not reachable from " << root <<std::endl;
   232       }
   233     }
   234 
   235 
   236 
   237   return 0;
   238 }
   239 
   240 
   241 
   242 
   243 
   244 
   245 
   246 
   247