1 | /* -*- C++ -*- |
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2 | * |
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3 | * This file is a part of LEMON, a generic C++ optimization library |
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4 | * |
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5 | * Copyright (C) 2003-2006 |
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6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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8 | * |
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9 | * Permission to use, modify and distribute this software is granted |
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10 | * provided that this copyright notice appears in all copies. For |
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11 | * precise terms see the accompanying LICENSE file. |
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12 | * |
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13 | * This software is provided "AS IS" with no warranty of any kind, |
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14 | * express or implied, and with no claim as to its suitability for any |
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15 | * purpose. |
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16 | * |
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17 | */ |
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18 | |
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19 | #ifndef LEMON_DFS_H |
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20 | #define LEMON_DFS_H |
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21 | |
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22 | ///\ingroup flowalgs |
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23 | ///\file |
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24 | ///\brief Dfs algorithm. |
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25 | |
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26 | #include <lemon/list_graph.h> |
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27 | #include <lemon/graph_utils.h> |
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28 | #include <lemon/bits/path_dump.h> |
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29 | #include <lemon/bits/invalid.h> |
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30 | #include <lemon/error.h> |
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31 | #include <lemon/maps.h> |
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32 | |
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33 | #include <lemon/concept_check.h> |
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34 | |
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35 | namespace lemon { |
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36 | |
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37 | |
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38 | ///Default traits class of Dfs class. |
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39 | |
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40 | ///Default traits class of Dfs class. |
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41 | ///\param GR Graph type. |
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42 | template<class GR> |
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43 | struct DfsDefaultTraits |
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44 | { |
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45 | ///The graph type the algorithm runs on. |
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46 | typedef GR Graph; |
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47 | ///\brief The type of the map that stores the last |
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48 | ///edges of the %DFS paths. |
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49 | /// |
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50 | ///The type of the map that stores the last |
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51 | ///edges of the %DFS paths. |
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52 | ///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
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53 | /// |
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54 | typedef typename Graph::template NodeMap<typename GR::Edge> PredMap; |
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55 | ///Instantiates a PredMap. |
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56 | |
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57 | ///This function instantiates a \ref PredMap. |
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58 | ///\param G is the graph, to which we would like to define the PredMap. |
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59 | ///\todo The graph alone may be insufficient to initialize |
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60 | static PredMap *createPredMap(const GR &G) |
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61 | { |
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62 | return new PredMap(G); |
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63 | } |
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64 | |
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65 | ///The type of the map that indicates which nodes are processed. |
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66 | |
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67 | ///The type of the map that indicates which nodes are processed. |
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68 | ///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
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69 | ///\todo named parameter to set this type, function to read and write. |
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70 | typedef NullMap<typename Graph::Node,bool> ProcessedMap; |
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71 | ///Instantiates a ProcessedMap. |
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72 | |
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73 | ///This function instantiates a \ref ProcessedMap. |
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74 | ///\param g is the graph, to which |
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75 | ///we would like to define the \ref ProcessedMap |
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76 | #ifdef DOXYGEN |
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77 | static ProcessedMap *createProcessedMap(const GR &g) |
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78 | #else |
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79 | static ProcessedMap *createProcessedMap(const GR &) |
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80 | #endif |
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81 | { |
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82 | return new ProcessedMap(); |
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83 | } |
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84 | ///The type of the map that indicates which nodes are reached. |
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85 | |
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86 | ///The type of the map that indicates which nodes are reached. |
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87 | ///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
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88 | ///\todo named parameter to set this type, function to read and write. |
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89 | typedef typename Graph::template NodeMap<bool> ReachedMap; |
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90 | ///Instantiates a ReachedMap. |
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91 | |
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92 | ///This function instantiates a \ref ReachedMap. |
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93 | ///\param G is the graph, to which |
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94 | ///we would like to define the \ref ReachedMap. |
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95 | static ReachedMap *createReachedMap(const GR &G) |
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96 | { |
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97 | return new ReachedMap(G); |
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98 | } |
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99 | ///The type of the map that stores the dists of the nodes. |
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100 | |
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101 | ///The type of the map that stores the dists of the nodes. |
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102 | ///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
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103 | /// |
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104 | typedef typename Graph::template NodeMap<int> DistMap; |
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105 | ///Instantiates a DistMap. |
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106 | |
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107 | ///This function instantiates a \ref DistMap. |
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108 | ///\param G is the graph, to which we would like to define the \ref DistMap |
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109 | static DistMap *createDistMap(const GR &G) |
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110 | { |
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111 | return new DistMap(G); |
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112 | } |
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113 | }; |
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114 | |
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115 | ///%DFS algorithm class. |
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116 | |
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117 | ///\ingroup flowalgs |
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118 | ///This class provides an efficient implementation of the %DFS algorithm. |
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119 | /// |
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120 | ///\param GR The graph type the algorithm runs on. The default value is |
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121 | ///\ref ListGraph. The value of GR is not used directly by Dfs, it |
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122 | ///is only passed to \ref DfsDefaultTraits. |
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123 | ///\param TR Traits class to set various data types used by the algorithm. |
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124 | ///The default traits class is |
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125 | ///\ref DfsDefaultTraits "DfsDefaultTraits<GR>". |
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126 | ///See \ref DfsDefaultTraits for the documentation of |
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127 | ///a Dfs traits class. |
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128 | /// |
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129 | ///\author Jacint Szabo and Alpar Juttner |
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130 | #ifdef DOXYGEN |
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131 | template <typename GR, |
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132 | typename TR> |
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133 | #else |
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134 | template <typename GR=ListGraph, |
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135 | typename TR=DfsDefaultTraits<GR> > |
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136 | #endif |
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137 | class Dfs { |
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138 | public: |
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139 | /** |
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140 | * \brief \ref Exception for uninitialized parameters. |
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141 | * |
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142 | * This error represents problems in the initialization |
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143 | * of the parameters of the algorithms. |
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144 | */ |
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145 | class UninitializedParameter : public lemon::UninitializedParameter { |
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146 | public: |
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147 | virtual const char* what() const throw() { |
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148 | return "lemon::Dfs::UninitializedParameter"; |
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149 | } |
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150 | }; |
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151 | |
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152 | typedef TR Traits; |
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153 | ///The type of the underlying graph. |
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154 | typedef typename TR::Graph Graph; |
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155 | ///\e |
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156 | typedef typename Graph::Node Node; |
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157 | ///\e |
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158 | typedef typename Graph::NodeIt NodeIt; |
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159 | ///\e |
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160 | typedef typename Graph::Edge Edge; |
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161 | ///\e |
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162 | typedef typename Graph::OutEdgeIt OutEdgeIt; |
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163 | |
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164 | ///\brief The type of the map that stores the last |
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165 | ///edges of the %DFS paths. |
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166 | typedef typename TR::PredMap PredMap; |
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167 | ///The type of the map indicating which nodes are reached. |
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168 | typedef typename TR::ReachedMap ReachedMap; |
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169 | ///The type of the map indicating which nodes are processed. |
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170 | typedef typename TR::ProcessedMap ProcessedMap; |
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171 | ///The type of the map that stores the dists of the nodes. |
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172 | typedef typename TR::DistMap DistMap; |
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173 | private: |
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174 | /// Pointer to the underlying graph. |
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175 | const Graph *G; |
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176 | ///Pointer to the map of predecessors edges. |
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177 | PredMap *_pred; |
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178 | ///Indicates if \ref _pred is locally allocated (\c true) or not. |
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179 | bool local_pred; |
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180 | ///Pointer to the map of distances. |
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181 | DistMap *_dist; |
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182 | ///Indicates if \ref _dist is locally allocated (\c true) or not. |
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183 | bool local_dist; |
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184 | ///Pointer to the map of reached status of the nodes. |
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185 | ReachedMap *_reached; |
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186 | ///Indicates if \ref _reached is locally allocated (\c true) or not. |
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187 | bool local_reached; |
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188 | ///Pointer to the map of processed status of the nodes. |
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189 | ProcessedMap *_processed; |
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190 | ///Indicates if \ref _processed is locally allocated (\c true) or not. |
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191 | bool local_processed; |
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192 | |
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193 | std::vector<typename Graph::OutEdgeIt> _stack; |
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194 | int _stack_head; |
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195 | |
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196 | ///Creates the maps if necessary. |
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197 | |
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198 | ///\todo Better memory allocation (instead of new). |
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199 | void create_maps() |
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200 | { |
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201 | if(!_pred) { |
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202 | local_pred = true; |
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203 | _pred = Traits::createPredMap(*G); |
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204 | } |
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205 | if(!_dist) { |
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206 | local_dist = true; |
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207 | _dist = Traits::createDistMap(*G); |
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208 | } |
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209 | if(!_reached) { |
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210 | local_reached = true; |
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211 | _reached = Traits::createReachedMap(*G); |
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212 | } |
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213 | if(!_processed) { |
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214 | local_processed = true; |
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215 | _processed = Traits::createProcessedMap(*G); |
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216 | } |
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217 | } |
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218 | |
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219 | protected: |
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220 | |
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221 | Dfs() {} |
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222 | |
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223 | public: |
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224 | |
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225 | typedef Dfs Create; |
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226 | |
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227 | ///\name Named template parameters |
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228 | |
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229 | ///@{ |
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230 | |
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231 | template <class T> |
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232 | struct DefPredMapTraits : public Traits { |
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233 | typedef T PredMap; |
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234 | static PredMap *createPredMap(const Graph &G) |
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235 | { |
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236 | throw UninitializedParameter(); |
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237 | } |
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238 | }; |
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239 | ///\ref named-templ-param "Named parameter" for setting PredMap type |
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240 | |
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241 | ///\ref named-templ-param "Named parameter" for setting PredMap type |
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242 | /// |
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243 | template <class T> |
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244 | struct DefPredMap : public Dfs<Graph, DefPredMapTraits<T> > { |
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245 | typedef Dfs<Graph, DefPredMapTraits<T> > Create; |
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246 | }; |
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247 | |
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248 | |
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249 | template <class T> |
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250 | struct DefDistMapTraits : public Traits { |
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251 | typedef T DistMap; |
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252 | static DistMap *createDistMap(const Graph &) |
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253 | { |
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254 | throw UninitializedParameter(); |
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255 | } |
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256 | }; |
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257 | ///\ref named-templ-param "Named parameter" for setting DistMap type |
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258 | |
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259 | ///\ref named-templ-param "Named parameter" for setting DistMap type |
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260 | /// |
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261 | template <class T> |
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262 | struct DefDistMap { |
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263 | typedef Dfs<Graph, DefDistMapTraits<T> > Create; |
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264 | }; |
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265 | |
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266 | template <class T> |
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267 | struct DefReachedMapTraits : public Traits { |
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268 | typedef T ReachedMap; |
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269 | static ReachedMap *createReachedMap(const Graph &) |
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270 | { |
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271 | throw UninitializedParameter(); |
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272 | } |
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273 | }; |
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274 | ///\ref named-templ-param "Named parameter" for setting ReachedMap type |
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275 | |
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276 | ///\ref named-templ-param "Named parameter" for setting ReachedMap type |
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277 | /// |
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278 | template <class T> |
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279 | struct DefReachedMap : public Dfs< Graph, DefReachedMapTraits<T> > { |
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280 | typedef Dfs< Graph, DefReachedMapTraits<T> > Create; |
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281 | }; |
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282 | |
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283 | template <class T> |
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284 | struct DefProcessedMapTraits : public Traits { |
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285 | typedef T ProcessedMap; |
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286 | static ProcessedMap *createProcessedMap(const Graph &) |
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287 | { |
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288 | throw UninitializedParameter(); |
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289 | } |
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290 | }; |
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291 | ///\ref named-templ-param "Named parameter" for setting ProcessedMap type |
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292 | |
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293 | ///\ref named-templ-param "Named parameter" for setting ProcessedMap type |
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294 | /// |
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295 | template <class T> |
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296 | struct DefProcessedMap : public Dfs< Graph, DefProcessedMapTraits<T> > { |
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297 | typedef Dfs< Graph, DefProcessedMapTraits<T> > Create; |
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298 | }; |
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299 | |
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300 | struct DefGraphProcessedMapTraits : public Traits { |
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301 | typedef typename Graph::template NodeMap<bool> ProcessedMap; |
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302 | static ProcessedMap *createProcessedMap(const Graph &G) |
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303 | { |
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304 | return new ProcessedMap(G); |
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305 | } |
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306 | }; |
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307 | ///\brief \ref named-templ-param "Named parameter" |
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308 | ///for setting the ProcessedMap type to be Graph::NodeMap<bool>. |
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309 | /// |
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310 | ///\ref named-templ-param "Named parameter" |
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311 | ///for setting the ProcessedMap type to be Graph::NodeMap<bool>. |
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312 | ///If you don't set it explicitely, it will be automatically allocated. |
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313 | template <class T> |
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314 | class DefProcessedMapToBeDefaultMap : |
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315 | public Dfs< Graph, DefGraphProcessedMapTraits> { |
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316 | typedef Dfs< Graph, DefGraphProcessedMapTraits> Create; |
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317 | }; |
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318 | |
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319 | ///@} |
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320 | |
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321 | public: |
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322 | |
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323 | ///Constructor. |
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324 | |
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325 | ///\param _G the graph the algorithm will run on. |
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326 | /// |
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327 | Dfs(const Graph& _G) : |
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328 | G(&_G), |
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329 | _pred(NULL), local_pred(false), |
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330 | _dist(NULL), local_dist(false), |
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331 | _reached(NULL), local_reached(false), |
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332 | _processed(NULL), local_processed(false) |
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333 | { } |
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334 | |
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335 | ///Destructor. |
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336 | ~Dfs() |
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337 | { |
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338 | if(local_pred) delete _pred; |
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339 | if(local_dist) delete _dist; |
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340 | if(local_reached) delete _reached; |
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341 | if(local_processed) delete _processed; |
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342 | } |
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343 | |
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344 | ///Sets the map storing the predecessor edges. |
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345 | |
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346 | ///Sets the map storing the predecessor edges. |
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347 | ///If you don't use this function before calling \ref run(), |
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348 | ///it will allocate one. The destuctor deallocates this |
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349 | ///automatically allocated map, of course. |
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350 | ///\return <tt> (*this) </tt> |
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351 | Dfs &predMap(PredMap &m) |
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352 | { |
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353 | if(local_pred) { |
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354 | delete _pred; |
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355 | local_pred=false; |
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356 | } |
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357 | _pred = &m; |
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358 | return *this; |
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359 | } |
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360 | |
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361 | ///Sets the map storing the distances calculated by the algorithm. |
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362 | |
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363 | ///Sets the map storing the distances calculated by the algorithm. |
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364 | ///If you don't use this function before calling \ref run(), |
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365 | ///it will allocate one. The destuctor deallocates this |
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366 | ///automatically allocated map, of course. |
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367 | ///\return <tt> (*this) </tt> |
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368 | Dfs &distMap(DistMap &m) |
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369 | { |
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370 | if(local_dist) { |
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371 | delete _dist; |
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372 | local_dist=false; |
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373 | } |
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374 | _dist = &m; |
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375 | return *this; |
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376 | } |
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377 | |
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378 | ///Sets the map indicating if a node is reached. |
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379 | |
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380 | ///Sets the map indicating if a node is reached. |
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381 | ///If you don't use this function before calling \ref run(), |
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382 | ///it will allocate one. The destuctor deallocates this |
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383 | ///automatically allocated map, of course. |
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384 | ///\return <tt> (*this) </tt> |
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385 | Dfs &reachedMap(ReachedMap &m) |
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386 | { |
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387 | if(local_reached) { |
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388 | delete _reached; |
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389 | local_reached=false; |
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390 | } |
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391 | _reached = &m; |
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392 | return *this; |
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393 | } |
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394 | |
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395 | ///Sets the map indicating if a node is processed. |
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396 | |
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397 | ///Sets the map indicating if a node is processed. |
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398 | ///If you don't use this function before calling \ref run(), |
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399 | ///it will allocate one. The destuctor deallocates this |
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400 | ///automatically allocated map, of course. |
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401 | ///\return <tt> (*this) </tt> |
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402 | Dfs &processedMap(ProcessedMap &m) |
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403 | { |
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404 | if(local_processed) { |
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405 | delete _processed; |
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406 | local_processed=false; |
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407 | } |
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408 | _processed = &m; |
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409 | return *this; |
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410 | } |
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411 | |
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412 | public: |
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413 | ///\name Execution control |
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414 | ///The simplest way to execute the algorithm is to use |
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415 | ///one of the member functions called \c run(...). |
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416 | ///\n |
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417 | ///If you need more control on the execution, |
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418 | ///first you must call \ref init(), then you can add a source node |
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419 | ///with \ref addSource(). |
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420 | ///Finally \ref start() will perform the actual path |
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421 | ///computation. |
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422 | |
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423 | ///@{ |
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424 | |
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425 | ///Initializes the internal data structures. |
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426 | |
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427 | ///Initializes the internal data structures. |
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428 | /// |
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429 | void init() |
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430 | { |
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431 | create_maps(); |
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432 | _stack.resize(countNodes(*G)); |
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433 | _stack_head=-1; |
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434 | for ( NodeIt u(*G) ; u!=INVALID ; ++u ) { |
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435 | _pred->set(u,INVALID); |
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436 | // _predNode->set(u,INVALID); |
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437 | _reached->set(u,false); |
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438 | _processed->set(u,false); |
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439 | } |
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440 | } |
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441 | |
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442 | ///Adds a new source node. |
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443 | |
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444 | ///Adds a new source node to the set of nodes to be processed. |
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445 | /// |
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446 | ///\warning dists are wrong (or at least strange) |
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447 | ///in case of multiple sources. |
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448 | void addSource(Node s) |
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449 | { |
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450 | if(!(*_reached)[s]) |
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451 | { |
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452 | _reached->set(s,true); |
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453 | _pred->set(s,INVALID); |
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454 | OutEdgeIt e(*G,s); |
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455 | if(e!=INVALID) { |
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456 | _stack[++_stack_head]=e; |
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457 | _dist->set(s,_stack_head); |
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458 | } |
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459 | else { |
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460 | _processed->set(s,true); |
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461 | _dist->set(s,0); |
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462 | } |
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463 | } |
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464 | } |
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465 | |
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466 | ///Processes the next edge. |
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467 | |
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468 | ///Processes the next edge. |
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469 | /// |
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470 | ///\return The processed edge. |
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471 | /// |
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472 | ///\pre The stack must not be empty! |
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473 | Edge processNextEdge() |
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474 | { |
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475 | Node m; |
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476 | Edge e=_stack[_stack_head]; |
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477 | if(!(*_reached)[m=G->target(e)]) { |
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478 | _pred->set(m,e); |
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479 | _reached->set(m,true); |
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480 | ++_stack_head; |
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481 | _stack[_stack_head] = OutEdgeIt(*G, m); |
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482 | _dist->set(m,_stack_head); |
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483 | } |
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484 | else { |
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485 | m=G->source(e); |
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486 | ++_stack[_stack_head]; |
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487 | } |
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488 | while(_stack_head>=0 && _stack[_stack_head]==INVALID) { |
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489 | _processed->set(m,true); |
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490 | --_stack_head; |
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491 | if(_stack_head>=0) { |
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492 | m=G->source(_stack[_stack_head]); |
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493 | ++_stack[_stack_head]; |
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494 | } |
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495 | } |
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496 | return e; |
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497 | } |
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498 | ///Next edge to be processed. |
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499 | |
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500 | ///Next edge to be processed. |
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501 | /// |
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502 | ///\return The next edge to be processed or INVALID if the stack is |
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503 | /// empty. |
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504 | OutEdgeIt nextEdge() |
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505 | { |
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506 | return _stack_head>=0?_stack[_stack_head]:INVALID; |
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507 | } |
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508 | |
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509 | ///\brief Returns \c false if there are nodes |
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510 | ///to be processed in the queue |
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511 | /// |
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512 | ///Returns \c false if there are nodes |
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513 | ///to be processed in the queue |
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514 | bool emptyQueue() { return _stack_head<0; } |
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515 | ///Returns the number of the nodes to be processed. |
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516 | |
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517 | ///Returns the number of the nodes to be processed in the queue. |
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518 | int queueSize() { return _stack_head+1; } |
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519 | |
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520 | ///Executes the algorithm. |
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521 | |
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522 | ///Executes the algorithm. |
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523 | /// |
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524 | ///\pre init() must be called and at least one node should be added |
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525 | ///with addSource() before using this function. |
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526 | /// |
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527 | ///This method runs the %DFS algorithm from the root node(s) |
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528 | ///in order to |
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529 | ///compute the |
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530 | ///%DFS path to each node. The algorithm computes |
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531 | ///- The %DFS tree. |
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532 | ///- The distance of each node from the root(s) in the %DFS tree. |
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533 | /// |
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534 | void start() |
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535 | { |
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536 | while ( !emptyQueue() ) processNextEdge(); |
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537 | } |
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538 | |
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539 | ///Executes the algorithm until \c dest is reached. |
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540 | |
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541 | ///Executes the algorithm until \c dest is reached. |
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542 | /// |
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543 | ///\pre init() must be called and at least one node should be added |
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544 | ///with addSource() before using this function. |
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545 | /// |
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546 | ///This method runs the %DFS algorithm from the root node(s) |
---|
547 | ///in order to |
---|
548 | ///compute the |
---|
549 | ///%DFS path to \c dest. The algorithm computes |
---|
550 | ///- The %DFS path to \c dest. |
---|
551 | ///- The distance of \c dest from the root(s) in the %DFS tree. |
---|
552 | /// |
---|
553 | void start(Node dest) |
---|
554 | { |
---|
555 | while ( !emptyQueue() && G->target(_stack[_stack_head])!=dest ) |
---|
556 | processNextEdge(); |
---|
557 | } |
---|
558 | |
---|
559 | ///Executes the algorithm until a condition is met. |
---|
560 | |
---|
561 | ///Executes the algorithm until a condition is met. |
---|
562 | /// |
---|
563 | ///\pre init() must be called and at least one node should be added |
---|
564 | ///with addSource() before using this function. |
---|
565 | /// |
---|
566 | ///\param em must be a bool (or convertible) edge map. The algorithm |
---|
567 | ///will stop when it reaches an edge \c e with \code em[e]==true \endcode. |
---|
568 | /// |
---|
569 | ///\warning Contrary to \ref Dfs and \ref Dijkstra, \c em is an edge map, |
---|
570 | ///not a node map. |
---|
571 | template<class EM> |
---|
572 | void start(const EM &em) |
---|
573 | { |
---|
574 | while ( !emptyQueue() && !em[_stack[_stack_head]] ) processNextEdge(); |
---|
575 | } |
---|
576 | |
---|
577 | ///Runs %DFS algorithm to visit all nodes in the graph. |
---|
578 | |
---|
579 | ///This method runs the %DFS algorithm in order to |
---|
580 | ///compute the |
---|
581 | ///%DFS path to each node. The algorithm computes |
---|
582 | ///- The %DFS tree. |
---|
583 | ///- The distance of each node from the root in the %DFS tree. |
---|
584 | /// |
---|
585 | ///\note d.run() is just a shortcut of the following code. |
---|
586 | ///\code |
---|
587 | /// d.init(); |
---|
588 | /// for (NodeIt it(graph); it != INVALID; ++it) { |
---|
589 | /// if (!d.reached(it)) { |
---|
590 | /// d.addSource(it); |
---|
591 | /// d.start(); |
---|
592 | /// } |
---|
593 | /// } |
---|
594 | ///\endcode |
---|
595 | void run() { |
---|
596 | init(); |
---|
597 | for (NodeIt it(*G); it != INVALID; ++it) { |
---|
598 | if (!reached(it)) { |
---|
599 | addSource(it); |
---|
600 | start(); |
---|
601 | } |
---|
602 | } |
---|
603 | } |
---|
604 | |
---|
605 | ///Runs %DFS algorithm from node \c s. |
---|
606 | |
---|
607 | ///This method runs the %DFS algorithm from a root node \c s |
---|
608 | ///in order to |
---|
609 | ///compute the |
---|
610 | ///%DFS path to each node. The algorithm computes |
---|
611 | ///- The %DFS tree. |
---|
612 | ///- The distance of each node from the root in the %DFS tree. |
---|
613 | /// |
---|
614 | ///\note d.run(s) is just a shortcut of the following code. |
---|
615 | ///\code |
---|
616 | /// d.init(); |
---|
617 | /// d.addSource(s); |
---|
618 | /// d.start(); |
---|
619 | ///\endcode |
---|
620 | void run(Node s) { |
---|
621 | init(); |
---|
622 | addSource(s); |
---|
623 | start(); |
---|
624 | } |
---|
625 | |
---|
626 | ///Finds the %DFS path between \c s and \c t. |
---|
627 | |
---|
628 | ///Finds the %DFS path between \c s and \c t. |
---|
629 | /// |
---|
630 | ///\return The length of the %DFS s---t path if there exists one, |
---|
631 | ///0 otherwise. |
---|
632 | ///\note Apart from the return value, d.run(s,t) is |
---|
633 | ///just a shortcut of the following code. |
---|
634 | ///\code |
---|
635 | /// d.init(); |
---|
636 | /// d.addSource(s); |
---|
637 | /// d.start(t); |
---|
638 | ///\endcode |
---|
639 | int run(Node s,Node t) { |
---|
640 | init(); |
---|
641 | addSource(s); |
---|
642 | start(t); |
---|
643 | return reached(t)?_stack_head+1:0; |
---|
644 | } |
---|
645 | |
---|
646 | ///@} |
---|
647 | |
---|
648 | ///\name Query Functions |
---|
649 | ///The result of the %DFS algorithm can be obtained using these |
---|
650 | ///functions.\n |
---|
651 | ///Before the use of these functions, |
---|
652 | ///either run() or start() must be called. |
---|
653 | |
---|
654 | ///@{ |
---|
655 | |
---|
656 | typedef PredMapPath<Graph, PredMap> Path; |
---|
657 | |
---|
658 | ///Gives back the shortest path. |
---|
659 | |
---|
660 | ///Gives back the shortest path. |
---|
661 | ///\pre The \c t should be reachable from the source. |
---|
662 | Path path(Node t) |
---|
663 | { |
---|
664 | return Path(*G, *_pred, t); |
---|
665 | } |
---|
666 | |
---|
667 | ///The distance of a node from the root(s). |
---|
668 | |
---|
669 | ///Returns the distance of a node from the root(s). |
---|
670 | ///\pre \ref run() must be called before using this function. |
---|
671 | ///\warning If node \c v is unreachable from the root(s) then the return |
---|
672 | ///value of this funcion is undefined. |
---|
673 | int dist(Node v) const { return (*_dist)[v]; } |
---|
674 | |
---|
675 | ///Returns the 'previous edge' of the %DFS tree. |
---|
676 | |
---|
677 | ///For a node \c v it returns the 'previous edge' |
---|
678 | ///of the %DFS path, |
---|
679 | ///i.e. it returns the last edge of a %DFS path from the root(s) to \c |
---|
680 | ///v. It is \ref INVALID |
---|
681 | ///if \c v is unreachable from the root(s) or \c v is a root. The |
---|
682 | ///%DFS tree used here is equal to the %DFS tree used in |
---|
683 | ///\ref predNode(). |
---|
684 | ///\pre Either \ref run() or \ref start() must be called before using |
---|
685 | ///this function. |
---|
686 | Edge predEdge(Node v) const { return (*_pred)[v];} |
---|
687 | |
---|
688 | ///Returns the 'previous node' of the %DFS tree. |
---|
689 | |
---|
690 | ///For a node \c v it returns the 'previous node' |
---|
691 | ///of the %DFS tree, |
---|
692 | ///i.e. it returns the last but one node from a %DFS path from the |
---|
693 | ///root(s) to \c v. |
---|
694 | ///It is INVALID if \c v is unreachable from the root(s) or |
---|
695 | ///if \c v itself a root. |
---|
696 | ///The %DFS tree used here is equal to the %DFS |
---|
697 | ///tree used in \ref predEdge(). |
---|
698 | ///\pre Either \ref run() or \ref start() must be called before |
---|
699 | ///using this function. |
---|
700 | Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID: |
---|
701 | G->source((*_pred)[v]); } |
---|
702 | |
---|
703 | ///Returns a reference to the NodeMap of distances. |
---|
704 | |
---|
705 | ///Returns a reference to the NodeMap of distances. |
---|
706 | ///\pre Either \ref run() or \ref init() must |
---|
707 | ///be called before using this function. |
---|
708 | const DistMap &distMap() const { return *_dist;} |
---|
709 | |
---|
710 | ///Returns a reference to the %DFS edge-tree map. |
---|
711 | |
---|
712 | ///Returns a reference to the NodeMap of the edges of the |
---|
713 | ///%DFS tree. |
---|
714 | ///\pre Either \ref run() or \ref init() |
---|
715 | ///must be called before using this function. |
---|
716 | const PredMap &predMap() const { return *_pred;} |
---|
717 | |
---|
718 | ///Checks if a node is reachable from the root. |
---|
719 | |
---|
720 | ///Returns \c true if \c v is reachable from the root(s). |
---|
721 | ///\warning The source nodes are inditated as unreachable. |
---|
722 | ///\pre Either \ref run() or \ref start() |
---|
723 | ///must be called before using this function. |
---|
724 | /// |
---|
725 | bool reached(Node v) { return (*_reached)[v]; } |
---|
726 | |
---|
727 | ///@} |
---|
728 | }; |
---|
729 | |
---|
730 | ///Default traits class of Dfs function. |
---|
731 | |
---|
732 | ///Default traits class of Dfs function. |
---|
733 | ///\param GR Graph type. |
---|
734 | template<class GR> |
---|
735 | struct DfsWizardDefaultTraits |
---|
736 | { |
---|
737 | ///The graph type the algorithm runs on. |
---|
738 | typedef GR Graph; |
---|
739 | ///\brief The type of the map that stores the last |
---|
740 | ///edges of the %DFS paths. |
---|
741 | /// |
---|
742 | ///The type of the map that stores the last |
---|
743 | ///edges of the %DFS paths. |
---|
744 | ///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
---|
745 | /// |
---|
746 | typedef NullMap<typename Graph::Node,typename GR::Edge> PredMap; |
---|
747 | ///Instantiates a PredMap. |
---|
748 | |
---|
749 | ///This function instantiates a \ref PredMap. |
---|
750 | ///\param g is the graph, to which we would like to define the PredMap. |
---|
751 | ///\todo The graph alone may be insufficient to initialize |
---|
752 | #ifdef DOXYGEN |
---|
753 | static PredMap *createPredMap(const GR &g) |
---|
754 | #else |
---|
755 | static PredMap *createPredMap(const GR &) |
---|
756 | #endif |
---|
757 | { |
---|
758 | return new PredMap(); |
---|
759 | } |
---|
760 | |
---|
761 | ///The type of the map that indicates which nodes are processed. |
---|
762 | |
---|
763 | ///The type of the map that indicates which nodes are processed. |
---|
764 | ///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
---|
765 | ///\todo named parameter to set this type, function to read and write. |
---|
766 | typedef NullMap<typename Graph::Node,bool> ProcessedMap; |
---|
767 | ///Instantiates a ProcessedMap. |
---|
768 | |
---|
769 | ///This function instantiates a \ref ProcessedMap. |
---|
770 | ///\param g is the graph, to which |
---|
771 | ///we would like to define the \ref ProcessedMap |
---|
772 | #ifdef DOXYGEN |
---|
773 | static ProcessedMap *createProcessedMap(const GR &g) |
---|
774 | #else |
---|
775 | static ProcessedMap *createProcessedMap(const GR &) |
---|
776 | #endif |
---|
777 | { |
---|
778 | return new ProcessedMap(); |
---|
779 | } |
---|
780 | ///The type of the map that indicates which nodes are reached. |
---|
781 | |
---|
782 | ///The type of the map that indicates which nodes are reached. |
---|
783 | ///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
---|
784 | ///\todo named parameter to set this type, function to read and write. |
---|
785 | typedef typename Graph::template NodeMap<bool> ReachedMap; |
---|
786 | ///Instantiates a ReachedMap. |
---|
787 | |
---|
788 | ///This function instantiates a \ref ReachedMap. |
---|
789 | ///\param G is the graph, to which |
---|
790 | ///we would like to define the \ref ReachedMap. |
---|
791 | static ReachedMap *createReachedMap(const GR &G) |
---|
792 | { |
---|
793 | return new ReachedMap(G); |
---|
794 | } |
---|
795 | ///The type of the map that stores the dists of the nodes. |
---|
796 | |
---|
797 | ///The type of the map that stores the dists of the nodes. |
---|
798 | ///It must meet the \ref concepts::WriteMap "WriteMap" concept. |
---|
799 | /// |
---|
800 | typedef NullMap<typename Graph::Node,int> DistMap; |
---|
801 | ///Instantiates a DistMap. |
---|
802 | |
---|
803 | ///This function instantiates a \ref DistMap. |
---|
804 | ///\param g is the graph, to which we would like to define the \ref DistMap |
---|
805 | #ifdef DOXYGEN |
---|
806 | static DistMap *createDistMap(const GR &g) |
---|
807 | #else |
---|
808 | static DistMap *createDistMap(const GR &) |
---|
809 | #endif |
---|
810 | { |
---|
811 | return new DistMap(); |
---|
812 | } |
---|
813 | }; |
---|
814 | |
---|
815 | /// Default traits used by \ref DfsWizard |
---|
816 | |
---|
817 | /// To make it easier to use Dfs algorithm |
---|
818 | ///we have created a wizard class. |
---|
819 | /// This \ref DfsWizard class needs default traits, |
---|
820 | ///as well as the \ref Dfs class. |
---|
821 | /// The \ref DfsWizardBase is a class to be the default traits of the |
---|
822 | /// \ref DfsWizard class. |
---|
823 | template<class GR> |
---|
824 | class DfsWizardBase : public DfsWizardDefaultTraits<GR> |
---|
825 | { |
---|
826 | |
---|
827 | typedef DfsWizardDefaultTraits<GR> Base; |
---|
828 | protected: |
---|
829 | /// Type of the nodes in the graph. |
---|
830 | typedef typename Base::Graph::Node Node; |
---|
831 | |
---|
832 | /// Pointer to the underlying graph. |
---|
833 | void *_g; |
---|
834 | ///Pointer to the map of reached nodes. |
---|
835 | void *_reached; |
---|
836 | ///Pointer to the map of processed nodes. |
---|
837 | void *_processed; |
---|
838 | ///Pointer to the map of predecessors edges. |
---|
839 | void *_pred; |
---|
840 | ///Pointer to the map of distances. |
---|
841 | void *_dist; |
---|
842 | ///Pointer to the source node. |
---|
843 | Node _source; |
---|
844 | |
---|
845 | public: |
---|
846 | /// Constructor. |
---|
847 | |
---|
848 | /// This constructor does not require parameters, therefore it initiates |
---|
849 | /// all of the attributes to default values (0, INVALID). |
---|
850 | DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0), |
---|
851 | _dist(0), _source(INVALID) {} |
---|
852 | |
---|
853 | /// Constructor. |
---|
854 | |
---|
855 | /// This constructor requires some parameters, |
---|
856 | /// listed in the parameters list. |
---|
857 | /// Others are initiated to 0. |
---|
858 | /// \param g is the initial value of \ref _g |
---|
859 | /// \param s is the initial value of \ref _source |
---|
860 | DfsWizardBase(const GR &g, Node s=INVALID) : |
---|
861 | _g((void *)&g), _reached(0), _processed(0), _pred(0), |
---|
862 | _dist(0), _source(s) {} |
---|
863 | |
---|
864 | }; |
---|
865 | |
---|
866 | /// A class to make the usage of the Dfs algorithm easier |
---|
867 | |
---|
868 | /// This class is created to make it easier to use the Dfs algorithm. |
---|
869 | /// It uses the functions and features of the plain \ref Dfs, |
---|
870 | /// but it is much simpler to use it. |
---|
871 | /// |
---|
872 | /// Simplicity means that the way to change the types defined |
---|
873 | /// in the traits class is based on functions that returns the new class |
---|
874 | /// and not on templatable built-in classes. |
---|
875 | /// When using the plain \ref Dfs |
---|
876 | /// the new class with the modified type comes from |
---|
877 | /// the original class by using the :: |
---|
878 | /// operator. In the case of \ref DfsWizard only |
---|
879 | /// a function have to be called and it will |
---|
880 | /// return the needed class. |
---|
881 | /// |
---|
882 | /// It does not have own \ref run method. When its \ref run method is called |
---|
883 | /// it initiates a plain \ref Dfs object, and calls the \ref Dfs::run |
---|
884 | /// method of it. |
---|
885 | template<class TR> |
---|
886 | class DfsWizard : public TR |
---|
887 | { |
---|
888 | typedef TR Base; |
---|
889 | |
---|
890 | ///The type of the underlying graph. |
---|
891 | typedef typename TR::Graph Graph; |
---|
892 | //\e |
---|
893 | typedef typename Graph::Node Node; |
---|
894 | //\e |
---|
895 | typedef typename Graph::NodeIt NodeIt; |
---|
896 | //\e |
---|
897 | typedef typename Graph::Edge Edge; |
---|
898 | //\e |
---|
899 | typedef typename Graph::OutEdgeIt OutEdgeIt; |
---|
900 | |
---|
901 | ///\brief The type of the map that stores |
---|
902 | ///the reached nodes |
---|
903 | typedef typename TR::ReachedMap ReachedMap; |
---|
904 | ///\brief The type of the map that stores |
---|
905 | ///the processed nodes |
---|
906 | typedef typename TR::ProcessedMap ProcessedMap; |
---|
907 | ///\brief The type of the map that stores the last |
---|
908 | ///edges of the %DFS paths. |
---|
909 | typedef typename TR::PredMap PredMap; |
---|
910 | ///The type of the map that stores the distances of the nodes. |
---|
911 | typedef typename TR::DistMap DistMap; |
---|
912 | |
---|
913 | public: |
---|
914 | /// Constructor. |
---|
915 | DfsWizard() : TR() {} |
---|
916 | |
---|
917 | /// Constructor that requires parameters. |
---|
918 | |
---|
919 | /// Constructor that requires parameters. |
---|
920 | /// These parameters will be the default values for the traits class. |
---|
921 | DfsWizard(const Graph &g, Node s=INVALID) : |
---|
922 | TR(g,s) {} |
---|
923 | |
---|
924 | ///Copy constructor |
---|
925 | DfsWizard(const TR &b) : TR(b) {} |
---|
926 | |
---|
927 | ~DfsWizard() {} |
---|
928 | |
---|
929 | ///Runs Dfs algorithm from a given node. |
---|
930 | |
---|
931 | ///Runs Dfs algorithm from a given node. |
---|
932 | ///The node can be given by the \ref source function. |
---|
933 | void run() |
---|
934 | { |
---|
935 | if(Base::_source==INVALID) throw UninitializedParameter(); |
---|
936 | Dfs<Graph,TR> alg(*(Graph*)Base::_g); |
---|
937 | if(Base::_reached) alg.reachedMap(*(ReachedMap*)Base::_reached); |
---|
938 | if(Base::_processed) alg.processedMap(*(ProcessedMap*)Base::_processed); |
---|
939 | if(Base::_pred) alg.predMap(*(PredMap*)Base::_pred); |
---|
940 | if(Base::_dist) alg.distMap(*(DistMap*)Base::_dist); |
---|
941 | alg.run(Base::_source); |
---|
942 | } |
---|
943 | |
---|
944 | ///Runs Dfs algorithm from the given node. |
---|
945 | |
---|
946 | ///Runs Dfs algorithm from the given node. |
---|
947 | ///\param s is the given source. |
---|
948 | void run(Node s) |
---|
949 | { |
---|
950 | Base::_source=s; |
---|
951 | run(); |
---|
952 | } |
---|
953 | |
---|
954 | template<class T> |
---|
955 | struct DefPredMapBase : public Base { |
---|
956 | typedef T PredMap; |
---|
957 | static PredMap *createPredMap(const Graph &) { return 0; }; |
---|
958 | DefPredMapBase(const TR &b) : TR(b) {} |
---|
959 | }; |
---|
960 | |
---|
961 | ///\brief \ref named-templ-param "Named parameter" |
---|
962 | ///function for setting PredMap type |
---|
963 | /// |
---|
964 | /// \ref named-templ-param "Named parameter" |
---|
965 | ///function for setting PredMap type |
---|
966 | /// |
---|
967 | template<class T> |
---|
968 | DfsWizard<DefPredMapBase<T> > predMap(const T &t) |
---|
969 | { |
---|
970 | Base::_pred=(void *)&t; |
---|
971 | return DfsWizard<DefPredMapBase<T> >(*this); |
---|
972 | } |
---|
973 | |
---|
974 | |
---|
975 | template<class T> |
---|
976 | struct DefReachedMapBase : public Base { |
---|
977 | typedef T ReachedMap; |
---|
978 | static ReachedMap *createReachedMap(const Graph &) { return 0; }; |
---|
979 | DefReachedMapBase(const TR &b) : TR(b) {} |
---|
980 | }; |
---|
981 | |
---|
982 | ///\brief \ref named-templ-param "Named parameter" |
---|
983 | ///function for setting ReachedMap |
---|
984 | /// |
---|
985 | /// \ref named-templ-param "Named parameter" |
---|
986 | ///function for setting ReachedMap |
---|
987 | /// |
---|
988 | template<class T> |
---|
989 | DfsWizard<DefReachedMapBase<T> > reachedMap(const T &t) |
---|
990 | { |
---|
991 | Base::_pred=(void *)&t; |
---|
992 | return DfsWizard<DefReachedMapBase<T> >(*this); |
---|
993 | } |
---|
994 | |
---|
995 | |
---|
996 | template<class T> |
---|
997 | struct DefProcessedMapBase : public Base { |
---|
998 | typedef T ProcessedMap; |
---|
999 | static ProcessedMap *createProcessedMap(const Graph &) { return 0; }; |
---|
1000 | DefProcessedMapBase(const TR &b) : TR(b) {} |
---|
1001 | }; |
---|
1002 | |
---|
1003 | ///\brief \ref named-templ-param "Named parameter" |
---|
1004 | ///function for setting ProcessedMap |
---|
1005 | /// |
---|
1006 | /// \ref named-templ-param "Named parameter" |
---|
1007 | ///function for setting ProcessedMap |
---|
1008 | /// |
---|
1009 | template<class T> |
---|
1010 | DfsWizard<DefProcessedMapBase<T> > processedMap(const T &t) |
---|
1011 | { |
---|
1012 | Base::_pred=(void *)&t; |
---|
1013 | return DfsWizard<DefProcessedMapBase<T> >(*this); |
---|
1014 | } |
---|
1015 | |
---|
1016 | template<class T> |
---|
1017 | struct DefDistMapBase : public Base { |
---|
1018 | typedef T DistMap; |
---|
1019 | static DistMap *createDistMap(const Graph &) { return 0; }; |
---|
1020 | DefDistMapBase(const TR &b) : TR(b) {} |
---|
1021 | }; |
---|
1022 | |
---|
1023 | ///\brief \ref named-templ-param "Named parameter" |
---|
1024 | ///function for setting DistMap type |
---|
1025 | /// |
---|
1026 | /// \ref named-templ-param "Named parameter" |
---|
1027 | ///function for setting DistMap type |
---|
1028 | /// |
---|
1029 | template<class T> |
---|
1030 | DfsWizard<DefDistMapBase<T> > distMap(const T &t) |
---|
1031 | { |
---|
1032 | Base::_dist=(void *)&t; |
---|
1033 | return DfsWizard<DefDistMapBase<T> >(*this); |
---|
1034 | } |
---|
1035 | |
---|
1036 | /// Sets the source node, from which the Dfs algorithm runs. |
---|
1037 | |
---|
1038 | /// Sets the source node, from which the Dfs algorithm runs. |
---|
1039 | /// \param s is the source node. |
---|
1040 | DfsWizard<TR> &source(Node s) |
---|
1041 | { |
---|
1042 | Base::_source=s; |
---|
1043 | return *this; |
---|
1044 | } |
---|
1045 | |
---|
1046 | }; |
---|
1047 | |
---|
1048 | ///Function type interface for Dfs algorithm. |
---|
1049 | |
---|
1050 | /// \ingroup flowalgs |
---|
1051 | ///Function type interface for Dfs algorithm. |
---|
1052 | /// |
---|
1053 | ///This function also has several |
---|
1054 | ///\ref named-templ-func-param "named parameters", |
---|
1055 | ///they are declared as the members of class \ref DfsWizard. |
---|
1056 | ///The following |
---|
1057 | ///example shows how to use these parameters. |
---|
1058 | ///\code |
---|
1059 | /// dfs(g,source).predMap(preds).run(); |
---|
1060 | ///\endcode |
---|
1061 | ///\warning Don't forget to put the \ref DfsWizard::run() "run()" |
---|
1062 | ///to the end of the parameter list. |
---|
1063 | ///\sa DfsWizard |
---|
1064 | ///\sa Dfs |
---|
1065 | template<class GR> |
---|
1066 | DfsWizard<DfsWizardBase<GR> > |
---|
1067 | dfs(const GR &g,typename GR::Node s=INVALID) |
---|
1068 | { |
---|
1069 | return DfsWizard<DfsWizardBase<GR> >(g,s); |
---|
1070 | } |
---|
1071 | |
---|
1072 | #ifdef DOXYGEN |
---|
1073 | /// \brief Visitor class for dfs. |
---|
1074 | /// |
---|
1075 | /// It gives a simple interface for a functional interface for dfs |
---|
1076 | /// traversal. The traversal on a linear data structure. |
---|
1077 | template <typename _Graph> |
---|
1078 | struct DfsVisitor { |
---|
1079 | typedef _Graph Graph; |
---|
1080 | typedef typename Graph::Edge Edge; |
---|
1081 | typedef typename Graph::Node Node; |
---|
1082 | /// \brief Called when the edge reach a node. |
---|
1083 | /// |
---|
1084 | /// It is called when the dfs find an edge which target is not |
---|
1085 | /// reached yet. |
---|
1086 | void discover(const Edge& edge) {} |
---|
1087 | /// \brief Called when the node reached first time. |
---|
1088 | /// |
---|
1089 | /// It is Called when the node reached first time. |
---|
1090 | void reach(const Node& node) {} |
---|
1091 | /// \brief Called when we step back on an edge. |
---|
1092 | /// |
---|
1093 | /// It is called when the dfs should step back on the edge. |
---|
1094 | void backtrack(const Edge& edge) {} |
---|
1095 | /// \brief Called when we step back from the node. |
---|
1096 | /// |
---|
1097 | /// It is called when we step back from the node. |
---|
1098 | void leave(const Node& node) {} |
---|
1099 | /// \brief Called when the edge examined but target of the edge |
---|
1100 | /// already discovered. |
---|
1101 | /// |
---|
1102 | /// It called when the edge examined but the target of the edge |
---|
1103 | /// already discovered. |
---|
1104 | void examine(const Edge& edge) {} |
---|
1105 | /// \brief Called for the source node of the dfs. |
---|
1106 | /// |
---|
1107 | /// It is called for the source node of the dfs. |
---|
1108 | void start(const Node& node) {} |
---|
1109 | /// \brief Called when we leave the source node of the dfs. |
---|
1110 | /// |
---|
1111 | /// It is called when we leave the source node of the dfs. |
---|
1112 | void stop(const Node& node) {} |
---|
1113 | |
---|
1114 | }; |
---|
1115 | #else |
---|
1116 | template <typename _Graph> |
---|
1117 | struct DfsVisitor { |
---|
1118 | typedef _Graph Graph; |
---|
1119 | typedef typename Graph::Edge Edge; |
---|
1120 | typedef typename Graph::Node Node; |
---|
1121 | void discover(const Edge&) {} |
---|
1122 | void reach(const Node&) {} |
---|
1123 | void backtrack(const Edge&) {} |
---|
1124 | void leave(const Node&) {} |
---|
1125 | void examine(const Edge&) {} |
---|
1126 | void start(const Node&) {} |
---|
1127 | void stop(const Node&) {} |
---|
1128 | |
---|
1129 | template <typename _Visitor> |
---|
1130 | struct Constraints { |
---|
1131 | void constraints() { |
---|
1132 | Edge edge; |
---|
1133 | Node node; |
---|
1134 | visitor.discover(edge); |
---|
1135 | visitor.reach(node); |
---|
1136 | visitor.backtrack(edge); |
---|
1137 | visitor.leave(node); |
---|
1138 | visitor.examine(edge); |
---|
1139 | visitor.start(node); |
---|
1140 | visitor.stop(edge); |
---|
1141 | } |
---|
1142 | _Visitor& visitor; |
---|
1143 | }; |
---|
1144 | }; |
---|
1145 | #endif |
---|
1146 | |
---|
1147 | /// \brief Default traits class of DfsVisit class. |
---|
1148 | /// |
---|
1149 | /// Default traits class of DfsVisit class. |
---|
1150 | /// \param _Graph Graph type. |
---|
1151 | template<class _Graph> |
---|
1152 | struct DfsVisitDefaultTraits { |
---|
1153 | |
---|
1154 | /// \brief The graph type the algorithm runs on. |
---|
1155 | typedef _Graph Graph; |
---|
1156 | |
---|
1157 | /// \brief The type of the map that indicates which nodes are reached. |
---|
1158 | /// |
---|
1159 | /// The type of the map that indicates which nodes are reached. |
---|
1160 | /// It must meet the \ref concepts::WriteMap "WriteMap" concept. |
---|
1161 | /// \todo named parameter to set this type, function to read and write. |
---|
1162 | typedef typename Graph::template NodeMap<bool> ReachedMap; |
---|
1163 | |
---|
1164 | /// \brief Instantiates a ReachedMap. |
---|
1165 | /// |
---|
1166 | /// This function instantiates a \ref ReachedMap. |
---|
1167 | /// \param graph is the graph, to which |
---|
1168 | /// we would like to define the \ref ReachedMap. |
---|
1169 | static ReachedMap *createReachedMap(const Graph &graph) { |
---|
1170 | return new ReachedMap(graph); |
---|
1171 | } |
---|
1172 | |
---|
1173 | }; |
---|
1174 | |
---|
1175 | /// %DFS Visit algorithm class. |
---|
1176 | |
---|
1177 | /// \ingroup flowalgs |
---|
1178 | /// This class provides an efficient implementation of the %DFS algorithm |
---|
1179 | /// with visitor interface. |
---|
1180 | /// |
---|
1181 | /// The %DfsVisit class provides an alternative interface to the Dfs |
---|
1182 | /// class. It works with callback mechanism, the DfsVisit object calls |
---|
1183 | /// on every dfs event the \c Visitor class member functions. |
---|
1184 | /// |
---|
1185 | /// \param _Graph The graph type the algorithm runs on. The default value is |
---|
1186 | /// \ref ListGraph. The value of _Graph is not used directly by Dfs, it |
---|
1187 | /// is only passed to \ref DfsDefaultTraits. |
---|
1188 | /// \param _Visitor The Visitor object for the algorithm. The |
---|
1189 | /// \ref DfsVisitor "DfsVisitor<_Graph>" is an empty Visitor which |
---|
1190 | /// does not observe the Dfs events. If you want to observe the dfs |
---|
1191 | /// events you should implement your own Visitor class. |
---|
1192 | /// \param _Traits Traits class to set various data types used by the |
---|
1193 | /// algorithm. The default traits class is |
---|
1194 | /// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<_Graph>". |
---|
1195 | /// See \ref DfsVisitDefaultTraits for the documentation of |
---|
1196 | /// a Dfs visit traits class. |
---|
1197 | /// |
---|
1198 | /// \author Jacint Szabo, Alpar Juttner and Balazs Dezso |
---|
1199 | #ifdef DOXYGEN |
---|
1200 | template <typename _Graph, typename _Visitor, typename _Traits> |
---|
1201 | #else |
---|
1202 | template <typename _Graph = ListGraph, |
---|
1203 | typename _Visitor = DfsVisitor<_Graph>, |
---|
1204 | typename _Traits = DfsDefaultTraits<_Graph> > |
---|
1205 | #endif |
---|
1206 | class DfsVisit { |
---|
1207 | public: |
---|
1208 | |
---|
1209 | /// \brief \ref Exception for uninitialized parameters. |
---|
1210 | /// |
---|
1211 | /// This error represents problems in the initialization |
---|
1212 | /// of the parameters of the algorithms. |
---|
1213 | class UninitializedParameter : public lemon::UninitializedParameter { |
---|
1214 | public: |
---|
1215 | virtual const char* what() const throw() |
---|
1216 | { |
---|
1217 | return "lemon::DfsVisit::UninitializedParameter"; |
---|
1218 | } |
---|
1219 | }; |
---|
1220 | |
---|
1221 | typedef _Traits Traits; |
---|
1222 | |
---|
1223 | typedef typename Traits::Graph Graph; |
---|
1224 | |
---|
1225 | typedef _Visitor Visitor; |
---|
1226 | |
---|
1227 | ///The type of the map indicating which nodes are reached. |
---|
1228 | typedef typename Traits::ReachedMap ReachedMap; |
---|
1229 | |
---|
1230 | private: |
---|
1231 | |
---|
1232 | typedef typename Graph::Node Node; |
---|
1233 | typedef typename Graph::NodeIt NodeIt; |
---|
1234 | typedef typename Graph::Edge Edge; |
---|
1235 | typedef typename Graph::OutEdgeIt OutEdgeIt; |
---|
1236 | |
---|
1237 | /// Pointer to the underlying graph. |
---|
1238 | const Graph *_graph; |
---|
1239 | /// Pointer to the visitor object. |
---|
1240 | Visitor *_visitor; |
---|
1241 | ///Pointer to the map of reached status of the nodes. |
---|
1242 | ReachedMap *_reached; |
---|
1243 | ///Indicates if \ref _reached is locally allocated (\c true) or not. |
---|
1244 | bool local_reached; |
---|
1245 | |
---|
1246 | std::vector<typename Graph::Edge> _stack; |
---|
1247 | int _stack_head; |
---|
1248 | |
---|
1249 | /// \brief Creates the maps if necessary. |
---|
1250 | /// |
---|
1251 | /// Creates the maps if necessary. |
---|
1252 | void create_maps() { |
---|
1253 | if(!_reached) { |
---|
1254 | local_reached = true; |
---|
1255 | _reached = Traits::createReachedMap(*_graph); |
---|
1256 | } |
---|
1257 | } |
---|
1258 | |
---|
1259 | protected: |
---|
1260 | |
---|
1261 | DfsVisit() {} |
---|
1262 | |
---|
1263 | public: |
---|
1264 | |
---|
1265 | typedef DfsVisit Create; |
---|
1266 | |
---|
1267 | /// \name Named template parameters |
---|
1268 | |
---|
1269 | ///@{ |
---|
1270 | template <class T> |
---|
1271 | struct DefReachedMapTraits : public Traits { |
---|
1272 | typedef T ReachedMap; |
---|
1273 | static ReachedMap *createReachedMap(const Graph &graph) { |
---|
1274 | throw UninitializedParameter(); |
---|
1275 | } |
---|
1276 | }; |
---|
1277 | /// \brief \ref named-templ-param "Named parameter" for setting |
---|
1278 | /// ReachedMap type |
---|
1279 | /// |
---|
1280 | /// \ref named-templ-param "Named parameter" for setting ReachedMap type |
---|
1281 | template <class T> |
---|
1282 | struct DefReachedMap : public DfsVisit< Graph, Visitor, |
---|
1283 | DefReachedMapTraits<T> > { |
---|
1284 | typedef DfsVisit< Graph, Visitor, DefReachedMapTraits<T> > Create; |
---|
1285 | }; |
---|
1286 | ///@} |
---|
1287 | |
---|
1288 | public: |
---|
1289 | |
---|
1290 | /// \brief Constructor. |
---|
1291 | /// |
---|
1292 | /// Constructor. |
---|
1293 | /// |
---|
1294 | /// \param graph the graph the algorithm will run on. |
---|
1295 | /// \param visitor The visitor of the algorithm. |
---|
1296 | /// |
---|
1297 | DfsVisit(const Graph& graph, Visitor& visitor) |
---|
1298 | : _graph(&graph), _visitor(&visitor), |
---|
1299 | _reached(0), local_reached(false) {} |
---|
1300 | |
---|
1301 | /// \brief Destructor. |
---|
1302 | /// |
---|
1303 | /// Destructor. |
---|
1304 | ~DfsVisit() { |
---|
1305 | if(local_reached) delete _reached; |
---|
1306 | } |
---|
1307 | |
---|
1308 | /// \brief Sets the map indicating if a node is reached. |
---|
1309 | /// |
---|
1310 | /// Sets the map indicating if a node is reached. |
---|
1311 | /// If you don't use this function before calling \ref run(), |
---|
1312 | /// it will allocate one. The destuctor deallocates this |
---|
1313 | /// automatically allocated map, of course. |
---|
1314 | /// \return <tt> (*this) </tt> |
---|
1315 | DfsVisit &reachedMap(ReachedMap &m) { |
---|
1316 | if(local_reached) { |
---|
1317 | delete _reached; |
---|
1318 | local_reached=false; |
---|
1319 | } |
---|
1320 | _reached = &m; |
---|
1321 | return *this; |
---|
1322 | } |
---|
1323 | |
---|
1324 | public: |
---|
1325 | /// \name Execution control |
---|
1326 | /// The simplest way to execute the algorithm is to use |
---|
1327 | /// one of the member functions called \c run(...). |
---|
1328 | /// \n |
---|
1329 | /// If you need more control on the execution, |
---|
1330 | /// first you must call \ref init(), then you can adda source node |
---|
1331 | /// with \ref addSource(). |
---|
1332 | /// Finally \ref start() will perform the actual path |
---|
1333 | /// computation. |
---|
1334 | |
---|
1335 | /// @{ |
---|
1336 | /// \brief Initializes the internal data structures. |
---|
1337 | /// |
---|
1338 | /// Initializes the internal data structures. |
---|
1339 | /// |
---|
1340 | void init() { |
---|
1341 | create_maps(); |
---|
1342 | _stack.resize(countNodes(*_graph)); |
---|
1343 | _stack_head = -1; |
---|
1344 | for (NodeIt u(*_graph) ; u != INVALID ; ++u) { |
---|
1345 | _reached->set(u, false); |
---|
1346 | } |
---|
1347 | } |
---|
1348 | |
---|
1349 | /// \brief Adds a new source node. |
---|
1350 | /// |
---|
1351 | /// Adds a new source node to the set of nodes to be processed. |
---|
1352 | void addSource(Node s) { |
---|
1353 | if(!(*_reached)[s]) { |
---|
1354 | _reached->set(s,true); |
---|
1355 | _visitor->start(s); |
---|
1356 | _visitor->reach(s); |
---|
1357 | Edge e; |
---|
1358 | _graph->firstOut(e, s); |
---|
1359 | if (e != INVALID) { |
---|
1360 | _stack[++_stack_head] = e; |
---|
1361 | } else { |
---|
1362 | _visitor->leave(s); |
---|
1363 | } |
---|
1364 | } |
---|
1365 | } |
---|
1366 | |
---|
1367 | /// \brief Processes the next edge. |
---|
1368 | /// |
---|
1369 | /// Processes the next edge. |
---|
1370 | /// |
---|
1371 | /// \return The processed edge. |
---|
1372 | /// |
---|
1373 | /// \pre The stack must not be empty! |
---|
1374 | Edge processNextEdge() { |
---|
1375 | Edge e = _stack[_stack_head]; |
---|
1376 | Node m = _graph->target(e); |
---|
1377 | if(!(*_reached)[m]) { |
---|
1378 | _visitor->discover(e); |
---|
1379 | _visitor->reach(m); |
---|
1380 | _reached->set(m, true); |
---|
1381 | _graph->firstOut(_stack[++_stack_head], m); |
---|
1382 | } else { |
---|
1383 | _visitor->examine(e); |
---|
1384 | m = _graph->source(e); |
---|
1385 | _graph->nextOut(_stack[_stack_head]); |
---|
1386 | } |
---|
1387 | while (_stack_head>=0 && _stack[_stack_head] == INVALID) { |
---|
1388 | _visitor->leave(m); |
---|
1389 | --_stack_head; |
---|
1390 | if (_stack_head >= 0) { |
---|
1391 | _visitor->backtrack(_stack[_stack_head]); |
---|
1392 | m = _graph->source(_stack[_stack_head]); |
---|
1393 | _graph->nextOut(_stack[_stack_head]); |
---|
1394 | } else { |
---|
1395 | _visitor->stop(m); |
---|
1396 | } |
---|
1397 | } |
---|
1398 | return e; |
---|
1399 | } |
---|
1400 | |
---|
1401 | /// \brief Next edge to be processed. |
---|
1402 | /// |
---|
1403 | /// Next edge to be processed. |
---|
1404 | /// |
---|
1405 | /// \return The next edge to be processed or INVALID if the stack is |
---|
1406 | /// empty. |
---|
1407 | Edge nextEdge() { |
---|
1408 | return _stack_head >= 0 ? _stack[_stack_head] : INVALID; |
---|
1409 | } |
---|
1410 | |
---|
1411 | /// \brief Returns \c false if there are nodes |
---|
1412 | /// to be processed in the queue |
---|
1413 | /// |
---|
1414 | /// Returns \c false if there are nodes |
---|
1415 | /// to be processed in the queue |
---|
1416 | bool emptyQueue() { return _stack_head < 0; } |
---|
1417 | |
---|
1418 | /// \brief Returns the number of the nodes to be processed. |
---|
1419 | /// |
---|
1420 | /// Returns the number of the nodes to be processed in the queue. |
---|
1421 | int queueSize() { return _stack_head + 1; } |
---|
1422 | |
---|
1423 | /// \brief Executes the algorithm. |
---|
1424 | /// |
---|
1425 | /// Executes the algorithm. |
---|
1426 | /// |
---|
1427 | /// \pre init() must be called and at least one node should be added |
---|
1428 | /// with addSource() before using this function. |
---|
1429 | void start() { |
---|
1430 | while ( !emptyQueue() ) processNextEdge(); |
---|
1431 | } |
---|
1432 | |
---|
1433 | /// \brief Executes the algorithm until \c dest is reached. |
---|
1434 | /// |
---|
1435 | /// Executes the algorithm until \c dest is reached. |
---|
1436 | /// |
---|
1437 | /// \pre init() must be called and at least one node should be added |
---|
1438 | /// with addSource() before using this function. |
---|
1439 | void start(Node dest) { |
---|
1440 | while ( !emptyQueue() && _graph->target(_stack[_stack_head]) != dest) |
---|
1441 | processNextEdge(); |
---|
1442 | } |
---|
1443 | |
---|
1444 | /// \brief Executes the algorithm until a condition is met. |
---|
1445 | /// |
---|
1446 | /// Executes the algorithm until a condition is met. |
---|
1447 | /// |
---|
1448 | /// \pre init() must be called and at least one node should be added |
---|
1449 | /// with addSource() before using this function. |
---|
1450 | /// |
---|
1451 | /// \param em must be a bool (or convertible) edge map. The algorithm |
---|
1452 | /// will stop when it reaches an edge \c e with \code nm[e]==true \endcode. |
---|
1453 | /// |
---|
1454 | /// \warning Contrary to \ref Dfs and \ref Dijkstra, \c em is an edge map, |
---|
1455 | /// not a node map. |
---|
1456 | template <typename EM> |
---|
1457 | void start(const EM &em) { |
---|
1458 | while (!emptyQueue() && !em[_stack[_stack_head]]) processNextEdge(); |
---|
1459 | } |
---|
1460 | |
---|
1461 | /// \brief Runs %DFSVisit algorithm from node \c s. |
---|
1462 | /// |
---|
1463 | /// This method runs the %DFS algorithm from a root node \c s. |
---|
1464 | /// \note d.run(s) is just a shortcut of the following code. |
---|
1465 | ///\code |
---|
1466 | /// d.init(); |
---|
1467 | /// d.addSource(s); |
---|
1468 | /// d.start(); |
---|
1469 | ///\endcode |
---|
1470 | void run(Node s) { |
---|
1471 | init(); |
---|
1472 | addSource(s); |
---|
1473 | start(); |
---|
1474 | } |
---|
1475 | |
---|
1476 | /// \brief Runs %DFSVisit algorithm to visit all nodes in the graph. |
---|
1477 | |
---|
1478 | /// This method runs the %DFS algorithm in order to |
---|
1479 | /// compute the %DFS path to each node. The algorithm computes |
---|
1480 | /// - The %DFS tree. |
---|
1481 | /// - The distance of each node from the root in the %DFS tree. |
---|
1482 | /// |
---|
1483 | ///\note d.run() is just a shortcut of the following code. |
---|
1484 | ///\code |
---|
1485 | /// d.init(); |
---|
1486 | /// for (NodeIt it(graph); it != INVALID; ++it) { |
---|
1487 | /// if (!d.reached(it)) { |
---|
1488 | /// d.addSource(it); |
---|
1489 | /// d.start(); |
---|
1490 | /// } |
---|
1491 | /// } |
---|
1492 | ///\endcode |
---|
1493 | void run() { |
---|
1494 | init(); |
---|
1495 | for (NodeIt it(*_graph); it != INVALID; ++it) { |
---|
1496 | if (!reached(it)) { |
---|
1497 | addSource(it); |
---|
1498 | start(); |
---|
1499 | } |
---|
1500 | } |
---|
1501 | } |
---|
1502 | ///@} |
---|
1503 | |
---|
1504 | /// \name Query Functions |
---|
1505 | /// The result of the %DFS algorithm can be obtained using these |
---|
1506 | /// functions.\n |
---|
1507 | /// Before the use of these functions, |
---|
1508 | /// either run() or start() must be called. |
---|
1509 | ///@{ |
---|
1510 | /// \brief Checks if a node is reachable from the root. |
---|
1511 | /// |
---|
1512 | /// Returns \c true if \c v is reachable from the root(s). |
---|
1513 | /// \warning The source nodes are inditated as unreachable. |
---|
1514 | /// \pre Either \ref run() or \ref start() |
---|
1515 | /// must be called before using this function. |
---|
1516 | /// |
---|
1517 | bool reached(Node v) { return (*_reached)[v]; } |
---|
1518 | ///@} |
---|
1519 | }; |
---|
1520 | |
---|
1521 | |
---|
1522 | } //END OF NAMESPACE LEMON |
---|
1523 | |
---|
1524 | #endif |
---|
1525 | |
---|