1 | /* -*- C++ -*- |
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2 | * src/test/dijkstra_heap_test.cc - Part of LEMON, a generic C++ optimization library |
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3 | * |
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4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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5 | * (Egervary Combinatorial Optimization Research Group, EGRES). |
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6 | * |
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7 | * Permission to use, modify and distribute this software is granted |
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8 | * provided that this copyright notice appears in all copies. For |
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9 | * precise terms see the accompanying LICENSE file. |
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10 | * |
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11 | * This software is provided "AS IS" with no warranty of any kind, |
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12 | * express or implied, and with no claim as to its suitability for any |
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13 | * purpose. |
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14 | * |
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15 | */ |
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16 | |
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17 | //Tests dijsktra.h with two heap implementations: |
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18 | //the default binary heap of bin_heap.h, and the |
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19 | //Fibonacci heap of fib_heap.h. |
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20 | |
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21 | //The input is a graph in standard dimacs format from the standard input (like |
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22 | //in /lemon_loc/testfiles/dimacs). It runs dijkstra.h on this graph with both |
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23 | //heaps, checking two postconditions: |
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24 | |
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25 | //- if the edges e=uv of the shortest path tree reported by dijkstra.h have |
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26 | //dist(v)-dist(u)=length(e) |
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27 | |
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28 | // - if all edges e=uv with u reachable from the root have |
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29 | //dist(v)-dist(u)>=length(e) |
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30 | #include <iostream> |
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31 | #include <math.h> |
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32 | |
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33 | #include <lemon/smart_graph.h> |
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34 | |
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35 | #include <lemon/graph_writer.h> |
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36 | #include <lemon/map_utils.h> |
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37 | |
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38 | |
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39 | #include <lemon/dimacs.h> |
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40 | #include <lemon/dijkstra.h> |
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41 | #include <lemon/time_measure.h> |
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42 | #include <lemon/graph_utils.h> |
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43 | |
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44 | #include <lemon/bin_heap.h> |
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45 | #include <lemon/fib_heap.h> |
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46 | #include <lemon/radix_heap.h> |
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47 | |
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48 | using namespace lemon; |
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49 | |
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50 | typedef ListGraph Graph; |
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51 | |
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52 | typedef Graph::Edge Edge; |
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53 | typedef Graph::Node Node; |
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54 | typedef Graph::EdgeIt EdgeIt; |
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55 | typedef Graph::NodeIt NodeIt; |
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56 | typedef Graph::EdgeMap<int> LengthMap; |
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57 | |
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58 | |
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59 | struct FibTraits : public DijkstraDefaultTraits<Graph, LengthMap> { |
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60 | typedef FibHeap<Graph::Node, LengthMap::Value, Graph::NodeMap<int> > Heap; |
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61 | }; |
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62 | |
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63 | struct RadixTraits : public DijkstraDefaultTraits<Graph, LengthMap> { |
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64 | typedef RadixHeap<Graph::Node, Graph::NodeMap<int> > Heap; |
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65 | }; |
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66 | |
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67 | |
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68 | int main(int argc, const char* argv[]) { |
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69 | |
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70 | |
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71 | Graph graph; |
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72 | Node s, t; |
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73 | LengthMap cap(graph); |
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74 | readDimacs(std::cin, graph, cap, s, t); |
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75 | Timer ts; |
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76 | |
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77 | GraphWriter<Graph> writer(std::cout, graph); |
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78 | |
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79 | IdMap<Graph, Node> nodeIdMap(graph); |
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80 | writer.addNodeMap("id", nodeIdMap); |
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81 | |
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82 | IdMap<Graph, Edge> edgeIdMap(graph); |
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83 | writer.addEdgeMap("id", edgeIdMap); |
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84 | |
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85 | writer.addEdgeMap("cap", cap); |
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86 | |
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87 | writer.run(); |
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88 | |
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89 | std::cout << |
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90 | "\n Testing dijkstra.h with binary heap implementation bin_heap.h," |
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91 | <<std::endl; |
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92 | std::cout<<" on a graph with " << |
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93 | countNodes(graph) << " nodes and " << countEdges(graph) << " edges..." |
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94 | << std::endl<<std::endl; |
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95 | |
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96 | |
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97 | Dijkstra<Graph, LengthMap> |
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98 | dijkstra_test(graph, cap); |
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99 | ts.reset(); |
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100 | dijkstra_test.run(s); |
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101 | std::cout << "elapsed time: " << ts << std::endl; |
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102 | |
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103 | int error1=0; |
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104 | int error2=0; |
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105 | |
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106 | for(EdgeIt e(graph); e!=INVALID; ++e) { |
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107 | Node u=graph.source(e); |
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108 | Node v=graph.target(e); |
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109 | if ( dijkstra_test.dist(v) - dijkstra_test.dist(u) > cap[e] ) |
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110 | if ( dijkstra_test.reached(u) ) { |
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111 | std::cout<<"Error! dist(target)-dist(source)- edge_length= " |
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112 | <<dijkstra_test.dist(v) - dijkstra_test.dist(u) |
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113 | - cap[e]<<std::endl; |
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114 | ++error1; |
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115 | } |
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116 | } |
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117 | |
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118 | NodeIt v; |
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119 | for(NodeIt v(graph); v!=INVALID; ++v) { |
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120 | if ( dijkstra_test.reached(v) ) { |
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121 | Edge e=dijkstra_test.pred(v); |
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122 | Node u=graph.source(e); |
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123 | if ( dijkstra_test.dist(v) - dijkstra_test.dist(u) != cap[e] ) { |
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124 | std::cout<<"Error in a shortest path tree edge! Difference: " |
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125 | <<std::abs(dijkstra_test.dist(v) - dijkstra_test.dist(u) |
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126 | - cap[e])<<std::endl; |
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127 | ++error2; |
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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 | |
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133 | |
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134 | std::cout << error1 << " non-tree and " << error2 |
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135 | << " shortest path tree edge is erroneous."<<std::endl; |
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136 | |
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137 | |
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138 | |
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139 | std::cout << |
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140 | "\n\n Testing dijkstra.h with Fibonacci heap implementation fib_heap.h," |
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141 | <<std::endl; |
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142 | std::cout<<" on a graph with " << |
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143 | countNodes(graph) << " nodes and " << countEdges(graph) << " edges..." |
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144 | << std::endl<<std::endl; |
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145 | |
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146 | |
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147 | Dijkstra<Graph, LengthMap, FibTraits> |
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148 | dijkstra_test2(graph, cap); |
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149 | ts.reset(); |
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150 | dijkstra_test2.run(s); |
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151 | std::cout << "elapsed time: " << ts << std::endl; |
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152 | |
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153 | error1=0; |
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154 | error2=0; |
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155 | |
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156 | for(EdgeIt e(graph); e!=INVALID; ++e) { |
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157 | Node u=graph.source(e); |
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158 | Node v=graph.target(e); |
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159 | if ( dijkstra_test2.dist(v) - dijkstra_test2.dist(u) > cap[e] ) |
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160 | if ( dijkstra_test2.reached(u) ) { |
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161 | std::cout<<"Error! dist(target)-dist(source)- edge_length= " |
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162 | <<dijkstra_test2.dist(v) - dijkstra_test2.dist(u) |
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163 | - cap[e]<<std::endl; |
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164 | ++error1; |
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165 | } |
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166 | } |
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167 | |
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168 | for(NodeIt n(graph); v!=INVALID; ++v) { |
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169 | if ( dijkstra_test2.reached(v) ) { |
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170 | Edge e=dijkstra_test2.pred(v); |
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171 | Node u=graph.source(e); |
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172 | if ( dijkstra_test2.dist(v) - dijkstra_test2.dist(u) != cap[e] ) { |
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173 | std::cout<<"Error in a shortest path tree edge! Difference: " |
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174 | <<std::abs(dijkstra_test2.dist(v) - dijkstra_test2.dist(u) |
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175 | - cap[e])<<std::endl; |
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176 | ++error2; |
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177 | } |
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178 | } |
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179 | } |
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180 | |
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181 | |
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182 | std::cout << error1 << " non-tree and " << error2 |
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183 | << " shortest path tree edge is erroneous."<<std::endl; |
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184 | |
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185 | std::cout << |
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186 | "\n\n Testing dijkstra.h with Radix heap implementation radix_heap.h," |
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187 | <<std::endl; |
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188 | std::cout<<" on a graph with " << |
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189 | countNodes(graph) << " nodes and " << countEdges(graph) << " edges..." |
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190 | << std::endl<<std::endl; |
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191 | |
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192 | |
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193 | Dijkstra<Graph, LengthMap, RadixTraits> |
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194 | dijkstra_test3(graph, cap); |
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195 | ts.reset(); |
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196 | dijkstra_test3.run(s); |
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197 | std::cout << "elapsed time: " << ts << std::endl; |
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198 | |
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199 | |
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200 | error1=0; |
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201 | error2=0; |
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202 | |
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203 | for(EdgeIt e(graph); e!=INVALID; ++e) { |
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204 | Node u=graph.source(e); |
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205 | Node v=graph.target(e); |
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206 | if ( dijkstra_test3.dist(v) - dijkstra_test3.dist(u) > cap[e] ) |
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207 | if ( dijkstra_test3.reached(u) ) { |
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208 | std::cout<<"Error! dist(target)-dist(source)- edge_length= " |
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209 | <<dijkstra_test3.dist(v) - dijkstra_test3.dist(u) |
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210 | - cap[e]<<std::endl; |
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211 | ++error1; |
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212 | } |
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213 | } |
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214 | |
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215 | for(NodeIt n(graph); v!=INVALID; ++v) { |
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216 | if ( dijkstra_test3.reached(v) ) { |
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217 | Edge e=dijkstra_test3.pred(v); |
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218 | Node u=graph.source(e); |
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219 | if ( dijkstra_test3.dist(v) - dijkstra_test3.dist(u) != cap[e] ) { |
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220 | std::cout<<"Error in a shortest path tree edge! Difference: " |
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221 | <<std::abs(dijkstra_test3.dist(v) - dijkstra_test3.dist(u) |
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222 | - cap[e])<<std::endl; |
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223 | ++error2; |
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224 | } |
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225 | } |
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226 | } |
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227 | |
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228 | |
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229 | std::cout << error1 << " non-tree and " << error2 |
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230 | << " shortest path tree edge is erroneous."<<std::endl; |
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231 | |
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232 | return 0; |
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233 | } |
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