src/work/jacint/preflow.cc
author marci
Thu, 29 Apr 2004 15:58:34 +0000
changeset 472 052af4060f3e
parent 451 6b36be4cffa4
child 921 818510fa3d99
permissions -rw-r--r--
preflow, maxflow
     1 #include <iostream>
     2 
     3 #include <smart_graph.h>
     4 #include <dimacs.h>
     5 #include <preflow.h>
     6 #include <time_measure.h>
     7 
     8 using namespace hugo;
     9 
    10 int main(int, char **) {
    11  
    12   typedef SmartGraph Graph;
    13   
    14   typedef Graph::Node Node;
    15   typedef Graph::EdgeIt EdgeIt;
    16 
    17   Graph G;
    18   Node s, t;
    19   Graph::EdgeMap<int> cap(G);
    20   readDimacsMaxFlow(std::cin, G, s, t, cap);
    21   Timer ts;
    22   bool error=false;
    23   
    24   std::cout <<
    25     "\n  Testing preflow.h on a graph with " << 
    26     G.nodeNum() << " nodes and " << G.edgeNum() << " edges..."
    27 	   << std::endl;
    28 
    29 
    30   Graph::EdgeMap<int> flow(G,0);
    31   Preflow<Graph, int> preflow_test(G, s, t, cap, flow);
    32   std::cout << "\nCalling run() (flow must be constant zero)..."<<std::endl;
    33   ts.reset();
    34   preflow_test.run();
    35   std::cout << "Elapsed time: " << ts << std::endl;
    36 
    37   Graph::NodeMap<bool> mincut(G);
    38   preflow_test.minMinCut(mincut); 
    39   int min_min_cut_value=0;
    40   Graph::NodeMap<bool> cut(G);
    41   preflow_test.minCut(cut); 
    42   int min_cut_value=0;
    43   Graph::NodeMap<bool> maxcut(G);
    44   preflow_test.maxMinCut(maxcut); 
    45   int max_min_cut_value=0;
    46   EdgeIt e;
    47   for(G.first(e); G.valid(e); G.next(e)) {
    48     int c=cap[e];
    49     if (mincut[G.tail(e)] && !mincut[G.head(e)]) min_min_cut_value+=c;
    50     if (cut[G.tail(e)] && !cut[G.head(e)]) min_cut_value+=c; 
    51     if (maxcut[G.tail(e)] && !maxcut[G.head(e)]) max_min_cut_value+=c;
    52   }
    53 
    54   std::cout << "\nChecking the result: " <<std::endl;  
    55   std::cout << "Flow value: "<< preflow_test.flowValue() << std::endl;
    56   std::cout << "Min cut value: "<< min_cut_value << std::endl;
    57   std::cout << "Min min cut value: "<< min_min_cut_value << std::endl;
    58   std::cout << "Max min cut value: "<< max_min_cut_value << 
    59     std::endl;
    60 
    61   if ( preflow_test.flowValue() == min_cut_value &&
    62        min_cut_value == min_min_cut_value &&
    63        min_min_cut_value == max_min_cut_value )
    64     std::cout << "They are equal. " <<std::endl;  
    65   else {
    66     std::cout << "ERROR! They are not equal! " <<std::endl;  
    67     error=true;
    68   }
    69 
    70 
    71 
    72   Preflow<Graph, int> preflow_test2(G, s, t, cap, flow);
    73   std::cout << "\n\nCalling preflow(GEN_FLOW) with the given maximum flow..."<<std::endl;
    74   ts.reset();
    75   preflow_test2.preflow(preflow_test2.GEN_FLOW);
    76   std::cout << "Elapsed time: " << ts << std::endl;
    77 
    78   Graph::NodeMap<bool> mincut2(G);
    79   preflow_test.minMinCut(mincut2); 
    80   int min_min_cut2_value=0;
    81   Graph::NodeMap<bool> cut2(G);
    82   preflow_test.minCut(cut2); 
    83   int min_cut2_value=0;
    84   Graph::NodeMap<bool> maxcut2(G);
    85   preflow_test.maxMinCut(maxcut2); 
    86   int max_min_cut2_value=0;
    87   for(G.first(e); G.valid(e); G.next(e)) {
    88     int c=cap[e];
    89     if (mincut2[G.tail(e)] && !mincut2[G.head(e)]) min_min_cut2_value+=c;
    90     if (cut2[G.tail(e)] && !cut2[G.head(e)]) min_cut2_value+=c; 
    91     if (maxcut2[G.tail(e)] && !maxcut2[G.head(e)]) max_min_cut2_value+=c;
    92   }
    93 
    94   std::cout << "\nThe given flow value is "
    95 	    << preflow_test2.flowValue();
    96 
    97   if ( preflow_test2.flowValue() == min_cut2_value &&
    98        min_cut2_value == min_min_cut2_value &&
    99        min_min_cut2_value == max_min_cut2_value )
   100     std::cout <<", which is equal to all three min cut values." 
   101 	      <<std::endl;  
   102   else {
   103     std::cout << "ERROR! It is not equal to all three min cut values! " 
   104 	      <<std::endl;  
   105     error=true;
   106   }
   107   
   108 
   109 
   110 
   111   Graph::EdgeMap<int> flow3(G,0);
   112   Preflow<Graph, int> preflow_test3(G, s, t, cap, flow3);
   113   std::cout << "\n\nCalling preflowPhase0(PREFLOW) on the constant zero flow..."<<std::endl;
   114   ts.reset();
   115   preflow_test3.preflowPhase0(preflow_test3.PREFLOW);
   116   std::cout << "Elapsed time: " << ts << std::endl;
   117   Graph::NodeMap<bool> actcut3(G);
   118   std::cout << "\nCalling actMinCut()..."<<std::endl;
   119   preflow_test3.actMinCut(actcut3); 
   120   std::cout << "Calling preflowPhase1() on the given flow..."<<std::endl;
   121   ts.reset();
   122   preflow_test3.preflowPhase1();
   123   std::cout << "Elapsed time: " << ts << std::endl;
   124   
   125   int act_min_cut3_value=0;
   126   
   127   Graph::NodeMap<bool> mincut3(G);
   128   preflow_test.minMinCut(mincut3); 
   129   int min_min_cut3_value=0;
   130   
   131   Graph::NodeMap<bool> cut3(G);
   132   preflow_test.minCut(cut3); 
   133   int min_cut3_value=0;
   134   
   135   Graph::NodeMap<bool> maxcut3(G);
   136   preflow_test.maxMinCut(maxcut3); 
   137   int max_min_cut3_value=0;
   138   
   139   for(G.first(e); G.valid(e); G.next(e)) {
   140     int c=cap[e];
   141     if (mincut3[G.tail(e)] && !mincut3[G.head(e)]) min_min_cut3_value+=c;
   142     if (cut3[G.tail(e)] && !cut3[G.head(e)]) min_cut3_value+=c; 
   143     if (maxcut3[G.tail(e)] && !maxcut3[G.head(e)]) max_min_cut3_value+=c;
   144     if (actcut3[G.tail(e)] && !actcut3[G.head(e)]) act_min_cut3_value+=c;
   145   }
   146 
   147  std::cout << "\nThe min cut value given by actMinCut() after phase 0 is "<<
   148    act_min_cut3_value;
   149 
   150   if ( preflow_test3.flowValue() == min_cut3_value &&
   151        min_cut3_value == min_min_cut3_value &&
   152        min_min_cut3_value == max_min_cut3_value &&
   153        max_min_cut3_value == act_min_cut3_value ) {
   154     std::cout << 
   155       ", which is equal to the given flow value and to all three min cut values after phase 1." 
   156 	      <<std::endl;  
   157   }
   158   else {
   159     std::cout << 
   160       "ERROR! It is not equal to the given flow value and to all three min cut values after phase 1! " 
   161 	      <<std::endl;  
   162     error=true;
   163   }
   164   
   165 
   166 
   167 
   168 
   169   Graph::EdgeMap<int> flow4(G,0);
   170   Preflow<Graph, int> preflow_test4(G, s, t, cap, flow4);
   171   std::cout << 
   172     "\n\nCalling preflow(PREFLOW) with the constant 0 flow, the result is f..."
   173 	    <<std::endl;
   174   preflow_test4.preflow(preflow_test4.PREFLOW);
   175 
   176   std::cout << "Swapping the source and the target, "<<std::endl;
   177   std::cout << "by calling resetSource(t) and resetTarget(s)..."
   178 	    <<std::endl;
   179   preflow_test4.resetSource(t);
   180   preflow_test4.resetTarget(s);
   181 
   182   std::cout << 
   183     "Calling preflow(PREFLOW) to find a maximum t-s flow starting with flow f..."
   184 	    <<std::endl;
   185   preflow_test4.preflow(preflow_test4.PREFLOW);
   186 
   187   Graph::NodeMap<bool> mincut4(G);
   188   preflow_test4.minMinCut(mincut4); 
   189   int min_min_cut4_value=0;
   190   Graph::NodeMap<bool> cut4(G);
   191   preflow_test4.minCut(cut4); 
   192   int min_cut4_value=0;
   193   Graph::NodeMap<bool> maxcut4(G);
   194   preflow_test4.maxMinCut(maxcut4); 
   195   int max_min_cut4_value=0;
   196   for(G.first(e); G.valid(e); G.next(e)) {
   197     int c=cap[e];
   198     if (mincut4[G.tail(e)] && !mincut4[G.head(e)]) min_min_cut4_value+=c;
   199     if (cut4[G.tail(e)] && !cut4[G.head(e)]) min_cut4_value+=c; 
   200     if (maxcut4[G.tail(e)] && !maxcut4[G.head(e)]) max_min_cut4_value+=c;
   201   }
   202 
   203   std::cout << "\nThe given flow value is "
   204 	    << preflow_test4.flowValue();
   205   
   206   if ( preflow_test4.flowValue() == min_cut4_value &&
   207        min_cut4_value == min_min_cut4_value &&
   208        min_min_cut4_value == max_min_cut4_value )
   209     std::cout <<", which is equal to all three min cut values." 
   210 	      <<std::endl;  
   211   else {
   212     std::cout << "ERROR! It is not equal to all three min cut values! " 
   213 	      <<std::endl;  
   214     error=true;
   215   }
   216 
   217 
   218 
   219 
   220   Graph::EdgeMap<int> flow5(G,0);
   221   std::cout << "Resetting the stored flow to constant zero, by calling resetFlow..."
   222 	    <<std::endl;
   223   preflow_test4.resetFlow(flow5);
   224   std::cout << 
   225     "Calling preflow(GEN_FLOW) to find a maximum t-s flow "<<std::endl;
   226   std::cout << 
   227     "starting with this constant zero flow..." <<std::endl;
   228   preflow_test4.preflow(preflow_test4.GEN_FLOW);
   229 
   230   Graph::NodeMap<bool> mincut5(G);
   231   preflow_test4.minMinCut(mincut5); 
   232   int min_min_cut5_value=0;
   233   Graph::NodeMap<bool> cut5(G);
   234   preflow_test4.minCut(cut5); 
   235   int min_cut5_value=0;
   236   Graph::NodeMap<bool> maxcut5(G);
   237   preflow_test4.maxMinCut(maxcut5); 
   238   int max_min_cut5_value=0;
   239   for(G.first(e); G.valid(e); G.next(e)) {
   240     int c=cap[e];
   241     if (mincut5[G.tail(e)] && !mincut5[G.head(e)]) min_min_cut5_value+=c;
   242     if (cut5[G.tail(e)] && !cut5[G.head(e)]) min_cut5_value+=c; 
   243     if (maxcut5[G.tail(e)] && !maxcut5[G.head(e)]) max_min_cut5_value+=c;
   244   }
   245 
   246   std::cout << "\nThe given flow value is "
   247 	    << preflow_test4.flowValue();
   248   
   249   if ( preflow_test4.flowValue() == min_cut5_value &&
   250        min_cut5_value == min_min_cut5_value &&
   251        min_min_cut5_value == max_min_cut5_value )
   252     std::cout <<", which is equal to all three min cut values." 
   253 	      <<std::endl<<std::endl;  
   254   else {
   255     std::cout << "ERROR! It is not equal to all three min cut values! " 
   256 	      <<std::endl;  
   257     error=true;
   258   }
   259   
   260   if (error) std::cout <<"\nThere was some error in the results!\n"<<std::endl; 
   261   else std::cout <<"\nThere was no error in the results.\n"<<std::endl; 
   262 
   263   return 0;
   264 }