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