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