[747] | 1 | // -*- c++ -*- |
---|
| 2 | #include <iostream> |
---|
| 3 | #include <fstream> |
---|
| 4 | |
---|
| 5 | #include <sage_graph.h> |
---|
[921] | 6 | #include <lemon/smart_graph.h> |
---|
| 7 | #include <lemon/dimacs.h> |
---|
| 8 | //#include <lemon/time_measure.h> |
---|
[747] | 9 | //#include <graph_wrapper.h> |
---|
[921] | 10 | #include <lemon/max_flow.h> |
---|
[747] | 11 | //#include <preflow_res.h> |
---|
| 12 | #include <for_each_macros.h> |
---|
| 13 | #include <graph_concept.h> |
---|
| 14 | |
---|
| 15 | using std::cout; |
---|
| 16 | using std::endl; |
---|
| 17 | |
---|
[921] | 18 | using namespace lemon; |
---|
[747] | 19 | |
---|
| 20 | // Use a DIMACS min cost flow file as stdin. |
---|
| 21 | // read_dimacs_demo < dimacs_max_flow_file |
---|
| 22 | |
---|
| 23 | int main(int, char **) { |
---|
| 24 | |
---|
| 25 | //typedef SageGraph MutableGraph; |
---|
| 26 | //typedef FullFeatureGraphConcept Graph; |
---|
| 27 | //typedef SmartGraph Graph; |
---|
| 28 | typedef SageGraph Graph; |
---|
| 29 | typedef Graph::Node Node; |
---|
| 30 | typedef Graph::EdgeIt EdgeIt; |
---|
| 31 | |
---|
| 32 | Graph g; |
---|
| 33 | |
---|
| 34 | Node s, t; |
---|
| 35 | Graph::EdgeMap<int> cap(g); |
---|
| 36 | Graph::EdgeMap<int> flow(g); //0 flow |
---|
| 37 | //readDimacs(std::cin, g, cap, s, t); |
---|
| 38 | readDimacs(std::cin, g, cap, s, t, flow); |
---|
| 39 | // Timer ts; |
---|
| 40 | MaxFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > |
---|
| 41 | max_flow_test(g, s, t, cap, flow); |
---|
| 42 | |
---|
| 43 | Graph::NodeMap<bool> cut(g); |
---|
| 44 | |
---|
| 45 | { |
---|
| 46 | Graph::EdgeIt e; |
---|
| 47 | for (g.first(e); g.valid(e); g.next(e)) |
---|
[986] | 48 | cout << 1+g.id(g.source(e)) << "->" << 1+g.id(g.target(e)) << " cap: " << cap[e] << " preflow: " << flow[e] << endl; |
---|
[747] | 49 | } |
---|
| 50 | { |
---|
| 51 | Graph::NodeIt n; |
---|
| 52 | for (g.first(n); g.valid(n); g.next(n)) { |
---|
| 53 | int a=0; |
---|
| 54 | { |
---|
| 55 | Graph::InEdgeIt e; |
---|
| 56 | for (g.first(e, n); g.valid(e); g.next(e)) a+=flow[e]; |
---|
| 57 | } |
---|
| 58 | { |
---|
| 59 | Graph::OutEdgeIt e; |
---|
| 60 | for (g.first(e, n); g.valid(e); g.next(e)) a-=flow[e]; |
---|
| 61 | } |
---|
| 62 | cout << 1+g.id(n) << " excess: " << a << endl; |
---|
| 63 | } |
---|
| 64 | } |
---|
| 65 | |
---|
| 66 | |
---|
| 67 | { |
---|
| 68 | // std::cout << "preflow ..." << std::endl; |
---|
| 69 | // ts.reset(); |
---|
| 70 | max_flow_test.preflowPhase1(MaxFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> >::PRE_FLOW); |
---|
| 71 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 72 | std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
| 73 | std::cout << "flow value 2: "<< max_flow_test.flowValue2() << std::endl; |
---|
| 74 | max_flow_test.actMinCut(cut); |
---|
| 75 | |
---|
| 76 | Graph::EdgeIt e; |
---|
| 77 | for (g.first(e); g.valid(e); g.next(e)) { |
---|
[986] | 78 | if (cut[g.source(e)] && !cut[g.target(e)]) { |
---|
| 79 | cout << 1+g.id(g.source(e)) << "->" << 1+g.id(g.target(e)) |
---|
[747] | 80 | << "(forward edge) flow: " << flow[e] |
---|
| 81 | << " cap: " << cap[e]<< endl; |
---|
| 82 | if (flow[e]!=cap[e]) |
---|
| 83 | std::cout << "Slackness does not hold!" << std::endl; |
---|
| 84 | } |
---|
[986] | 85 | if (!cut[g.source(e)] && cut[g.target(e)]) { |
---|
| 86 | cout << 1+g.id(g.source(e)) << "->" << 1+g.id(g.target(e)) |
---|
[747] | 87 | << "(backward edge) flow: " << flow[e] << endl; |
---|
| 88 | if (flow[e]!=0) |
---|
| 89 | std::cout << "Slackness does not hold!" << std::endl; |
---|
| 90 | } |
---|
| 91 | } |
---|
| 92 | Graph::NodeIt n; |
---|
| 93 | for (g.first(n); g.valid(n); g.next(n)) { |
---|
| 94 | if (cut[n]) |
---|
| 95 | cout << "in cut: " << 1+g.id(n) << endl; |
---|
| 96 | } |
---|
| 97 | } |
---|
| 98 | |
---|
| 99 | // { |
---|
| 100 | // std::cout << "preflow ..." << std::endl; |
---|
| 101 | // ts.reset(); |
---|
| 102 | // max_flow_test.run(); |
---|
| 103 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 104 | // std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
| 105 | // max_flow_test.actMinCut(cut); |
---|
| 106 | |
---|
| 107 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
[986] | 108 | // if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) |
---|
[747] | 109 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
[986] | 110 | // if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) |
---|
[747] | 111 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
| 112 | // } |
---|
| 113 | // } |
---|
| 114 | |
---|
| 115 | // { |
---|
| 116 | // std::cout << "preflow ..." << std::endl; |
---|
| 117 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
| 118 | // ts.reset(); |
---|
| 119 | // max_flow_test.preflow(MaxFlow<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> >::GEN_FLOW); |
---|
| 120 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 121 | // std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
| 122 | |
---|
| 123 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
[986] | 124 | // if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) |
---|
[747] | 125 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
[986] | 126 | // if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) |
---|
[747] | 127 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
| 128 | // } |
---|
| 129 | // } |
---|
| 130 | |
---|
| 131 | // // { |
---|
| 132 | // // std::cout << "wrapped preflow ..." << std::endl; |
---|
| 133 | // // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
| 134 | // // ts.reset(); |
---|
| 135 | // // pre_flow_res.run(); |
---|
| 136 | // // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 137 | // // std::cout << "flow value: "<< pre_flow_test.flowValue() << std::endl; |
---|
| 138 | // // } |
---|
| 139 | |
---|
| 140 | // { |
---|
| 141 | // std::cout << "physical blocking flow augmentation ..." << std::endl; |
---|
| 142 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
| 143 | // ts.reset(); |
---|
| 144 | // int i=0; |
---|
| 145 | // while (augmenting_flow_test.augmentOnBlockingFlow<MutableGraph>()) { ++i; } |
---|
| 146 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 147 | // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
| 148 | // std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
| 149 | |
---|
| 150 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
[986] | 151 | // if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) |
---|
[747] | 152 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
[986] | 153 | // if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) |
---|
[747] | 154 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
| 155 | // } |
---|
| 156 | // } |
---|
| 157 | |
---|
| 158 | // // { |
---|
| 159 | // // std::cout << "faster physical blocking flow augmentation ..." << std::endl; |
---|
| 160 | // // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
| 161 | // // ts.reset(); |
---|
| 162 | // // int i=0; |
---|
| 163 | // // while (max_flow_test.augmentOnBlockingFlow1<MutableGraph>()) { ++i; } |
---|
| 164 | // // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 165 | // // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
| 166 | // // std::cout << "flow value: "<< max_flow_test.flowValue() << std::endl; |
---|
| 167 | // // } |
---|
| 168 | |
---|
| 169 | // { |
---|
| 170 | // std::cout << "on-the-fly blocking flow augmentation ..." << std::endl; |
---|
| 171 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
| 172 | // ts.reset(); |
---|
| 173 | // int i=0; |
---|
| 174 | // while (augmenting_flow_test.augmentOnBlockingFlow2()) { ++i; } |
---|
| 175 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 176 | // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
| 177 | // std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
| 178 | |
---|
| 179 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
[986] | 180 | // if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) |
---|
[747] | 181 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
[986] | 182 | // if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) |
---|
[747] | 183 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
| 184 | // } |
---|
| 185 | // } |
---|
| 186 | |
---|
| 187 | // { |
---|
| 188 | // std::cout << "on-the-fly shortest path augmentation ..." << std::endl; |
---|
| 189 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
| 190 | // ts.reset(); |
---|
| 191 | // int i=0; |
---|
| 192 | // while (augmenting_flow_test.augmentOnShortestPath()) { ++i; } |
---|
| 193 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 194 | // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
| 195 | // std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
| 196 | |
---|
| 197 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
[986] | 198 | // if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) |
---|
[747] | 199 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
[986] | 200 | // if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) |
---|
[747] | 201 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
| 202 | // } |
---|
| 203 | // } |
---|
| 204 | |
---|
| 205 | // { |
---|
| 206 | // std::cout << "on-the-fly shortest path augmentation ..." << std::endl; |
---|
| 207 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) flow.set(e, 0); |
---|
| 208 | // ts.reset(); |
---|
| 209 | // int i=0; |
---|
| 210 | // while (augmenting_flow_test.augmentOnShortestPath2()) { ++i; } |
---|
| 211 | // std::cout << "elapsed time: " << ts << std::endl; |
---|
| 212 | // std::cout << "number of augmentation phases: " << i << std::endl; |
---|
| 213 | // std::cout << "flow value: "<< augmenting_flow_test.flowValue() << std::endl; |
---|
| 214 | |
---|
| 215 | // FOR_EACH_LOC(Graph::EdgeIt, e, g) { |
---|
[986] | 216 | // if (cut[g.source(e)] && !cut[g.target(e)] && !flow[e]==cap[e]) |
---|
[747] | 217 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
[986] | 218 | // if (!cut[g.source(e)] && cut[g.target(e)] && flow[e]>0) |
---|
[747] | 219 | // std::cout << "Slackness does not hold!" << std::endl; |
---|
| 220 | // } |
---|
| 221 | // } |
---|
| 222 | |
---|
| 223 | return 0; |
---|
| 224 | } |
---|