1 | // -*- c++ -*- |
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2 | #ifndef HUGO_SUURBALLE_H |
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3 | #define HUGO_SUURBALLE_H |
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4 | |
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5 | ///\file |
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6 | ///\brief Suurballe algorithm. |
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7 | |
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8 | #include <iostream> |
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9 | #include <dijkstra.h> |
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10 | #include <graph_wrapper.h> |
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11 | namespace hugo { |
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12 | |
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13 | |
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14 | ///\brief Implementation of Suurballe's algorithm |
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15 | /// |
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16 | /// The class \ref hugo::Suurballe "Suurballe" implements |
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17 | /// Suurballe's algorithm which seeks for k edge-disjoint paths |
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18 | /// from a given source node to a given target node in an |
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19 | /// edge-weighted directed graph having minimal total cost. |
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20 | /// |
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21 | /// |
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22 | |
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23 | template <typename Graph, typename T, |
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24 | typename LengthMap=typename Graph::EdgeMap<T> > |
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25 | class Suurballe { |
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26 | |
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27 | |
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28 | //Writing maps |
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29 | class ConstMap { |
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30 | public : |
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31 | typedef int ValueType; |
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32 | typedef typename Graph::Edge KeyType; |
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33 | |
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34 | int operator[](typename Graph::Edge e) const { |
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35 | return 1; |
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36 | } |
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37 | }; |
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38 | /* |
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39 | // template <typename Graph, typename T> |
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40 | class ModLengthMap { |
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41 | typedef typename Graph::EdgeMap<T> EdgeMap; |
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42 | typedef typename Graph::NodeMap<T> NodeMap; |
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43 | |
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44 | const EdgeMap &ol; |
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45 | const NodeMap &pot; |
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46 | public : |
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47 | typedef typename EdgeMap::KeyType KeyType; |
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48 | typedef typename EdgeMap::ValueType ValueType; |
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49 | |
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50 | double operator[](typename Graph::EdgeIt e) const { |
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51 | return 10;//ol.get(e)-pot.get(v)-pot.get(u); |
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52 | } |
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53 | |
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54 | ModLengthMap(const EdgeMap &o, |
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55 | const NodeMap &p) : |
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56 | ol(o), pot(p){}; |
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57 | }; |
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58 | */ |
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59 | |
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60 | |
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61 | typedef typename Graph::Node Node; |
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62 | typedef typename Graph::NodeIt NodeIt; |
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63 | typedef typename Graph::Edge Edge; |
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64 | typedef typename Graph::OutEdgeIt OutEdgeIt; |
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65 | typedef TrivGraphWrapper<const Graph> TrivGraphType; |
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66 | typedef ResGraphWrapper<TrivGraphType,int,typename Graph::EdgeMap<int>, |
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67 | ConstMap> ResGraphType; |
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68 | |
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69 | const Graph& G; |
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70 | const LengthMap& length; |
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71 | |
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72 | |
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73 | //auxiliary variables |
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74 | |
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75 | typename Graph::EdgeMap<int> reversed; |
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76 | typename Graph::NodeMap<T> dijkstra_dist; |
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77 | |
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78 | public : |
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79 | |
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80 | |
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81 | Suurballe(Graph& _G, LengthMap& _length) : G(_G), |
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82 | length(_length), reversed(_G), dijkstra_dist(_G){ } |
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83 | |
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84 | ///Runs Suurballe's algorithm |
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85 | |
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86 | ///Runs Suurballe's algorithm |
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87 | ///Returns true iff there are k edge-disjoint paths from s to t |
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88 | bool run(Node s, Node t, int k) { |
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89 | |
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90 | LengthMap mod_length_c = length; |
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91 | ConstMap const1map; |
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92 | //ResGraphWrapper< Graph,T,typename Graph::EdgeMap<int>, ConstMap> |
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93 | TrivGraphType ize(G); |
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94 | ResGraphType res_graph(ize, reversed, const1map); |
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95 | //ModLengthMap modified_length(length, dijkstra_dist); |
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96 | //Dijkstra<ResGraphType, ModLengthMap> dijkstra(res_graph, modified_length); |
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97 | //ResGraphWrapper< Graph,T,typename Graph::EdgeMap<int>, ConstMap> |
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98 | Dijkstra<ResGraphType, LengthMap> dijkstra(res_graph, mod_length_c); |
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99 | |
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100 | for (int i=0; i<k; ++i){ |
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101 | dijkstra.run(s); |
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102 | if (!dijkstra.reached(t)){ |
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103 | //There is no k path from s to t |
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104 | return false; |
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105 | }; |
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106 | { |
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107 | //We have to copy the potential |
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108 | typename ResGraphType::EdgeIt e; |
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109 | for ( res_graph.first(e) ; res_graph.valid(e) ; res_graph.next(e) ) { |
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110 | //dijkstra_dist[e] = dijkstra.distMap()[e]; |
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111 | mod_length_c[Edge(e)] = mod_length_c[Edge(e)] - |
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112 | dijkstra.distMap()[res_graph.head(e)] + |
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113 | dijkstra.distMap()[res_graph.tail(e)]; |
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114 | } |
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115 | } |
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116 | |
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117 | //Reversing the sortest path |
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118 | Node n=t; |
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119 | Edge e; |
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120 | while (n!=s){ |
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121 | e = dijkstra.pred(n); |
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122 | n = dijkstra.predNode(n); |
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123 | reversed[e] = 1-reversed[e]; |
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124 | } |
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125 | |
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126 | |
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127 | } |
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128 | return true; |
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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 | |
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135 | };//class Suurballe |
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136 | |
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137 | |
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138 | |
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139 | |
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140 | } //namespace hugo |
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141 | |
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142 | #endif //HUGO_SUURBALLE_H |
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