1 | // -*- C++ -*- |
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2 | #ifndef HUGO_DFS_H |
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3 | #define HUGO_DFS_H |
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4 | |
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5 | ///\ingroup flowalgs |
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6 | ///\file |
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7 | ///\brief %DFS algorithm. |
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8 | /// |
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9 | ///\todo Revise Manual. |
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10 | |
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11 | #include <hugo/bin_heap.h> |
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12 | #include <hugo/invalid.h> |
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13 | |
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14 | namespace hugo { |
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15 | |
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16 | /// \addtogroup flowalgs |
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17 | /// @{ |
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18 | |
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19 | ///%DFS algorithm class. |
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20 | |
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21 | ///This class provides an efficient implementation of %DFS algorithm. |
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22 | /// |
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23 | ///\param GR The graph type the algorithm runs on. |
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24 | /// |
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25 | ///\author Alpar Juttner |
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26 | |
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27 | #ifdef DOXYGEN |
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28 | template <typename GR> |
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29 | #else |
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30 | template <typename GR> |
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31 | #endif |
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32 | class Dfs{ |
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33 | public: |
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34 | ///The type of the underlying graph. |
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35 | typedef GR Graph; |
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36 | typedef typename Graph::Node Node; |
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37 | typedef typename Graph::NodeIt NodeIt; |
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38 | typedef typename Graph::Edge Edge; |
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39 | typedef typename Graph::OutEdgeIt OutEdgeIt; |
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40 | |
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41 | ///\brief The type of the map that stores the last |
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42 | ///edges of the paths on the %DFS tree. |
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43 | typedef typename Graph::template NodeMap<Edge> PredMap; |
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44 | ///\brief The type of the map that stores the last but one |
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45 | ///nodes of the paths on the %DFS tree. |
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46 | typedef typename Graph::template NodeMap<Node> PredNodeMap; |
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47 | ///The type of the map that stores the dists of the nodes on the %DFS tree. |
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48 | typedef typename Graph::template NodeMap<int> DistMap; |
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49 | |
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50 | private: |
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51 | const Graph *G; |
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52 | PredMap *predecessor; |
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53 | bool local_predecessor; |
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54 | PredNodeMap *pred_node; |
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55 | bool local_pred_node; |
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56 | DistMap *distance; |
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57 | bool local_distance; |
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58 | |
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59 | //The source node of the last execution. |
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60 | Node source; |
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61 | |
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62 | |
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63 | ///Initializes the maps. |
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64 | void init_maps() |
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65 | { |
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66 | if(!predecessor) { |
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67 | local_predecessor = true; |
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68 | predecessor = new PredMap(*G); |
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69 | } |
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70 | if(!pred_node) { |
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71 | local_pred_node = true; |
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72 | pred_node = new PredNodeMap(*G); |
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73 | } |
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74 | if(!distance) { |
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75 | local_distance = true; |
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76 | distance = new DistMap(*G); |
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77 | } |
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78 | } |
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79 | |
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80 | public : |
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81 | Dfs(const Graph& _G) : |
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82 | G(&_G), |
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83 | predecessor(NULL), local_predecessor(false), |
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84 | pred_node(NULL), local_pred_node(false), |
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85 | distance(NULL), local_distance(false) |
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86 | { } |
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87 | |
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88 | ~Dfs() |
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89 | { |
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90 | if(local_predecessor) delete predecessor; |
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91 | if(local_pred_node) delete pred_node; |
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92 | if(local_distance) delete distance; |
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93 | } |
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94 | |
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95 | ///Sets the graph the algorithm will run on. |
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96 | |
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97 | ///Sets the graph the algorithm will run on. |
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98 | ///\return <tt> (*this) </tt> |
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99 | ///\bug What about maps? |
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100 | ///\todo It may be unnecessary |
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101 | Dfs &setGraph(const Graph &_G) |
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102 | { |
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103 | G = &_G; |
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104 | return *this; |
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105 | } |
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106 | ///Sets the map storing the predecessor edges. |
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107 | |
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108 | ///Sets the map storing the predecessor edges. |
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109 | ///If you don't use this function before calling \ref run(), |
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110 | ///it will allocate one. The destuctor deallocates this |
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111 | ///automatically allocated map, of course. |
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112 | ///\return <tt> (*this) </tt> |
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113 | Dfs &setPredMap(PredMap &m) |
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114 | { |
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115 | if(local_predecessor) { |
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116 | delete predecessor; |
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117 | local_predecessor=false; |
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118 | } |
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119 | predecessor = &m; |
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120 | return *this; |
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121 | } |
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122 | |
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123 | ///Sets the map storing the predecessor nodes. |
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124 | |
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125 | ///Sets the map storing the predecessor nodes. |
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126 | ///If you don't use this function before calling \ref run(), |
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127 | ///it will allocate one. The destuctor deallocates this |
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128 | ///automatically allocated map, of course. |
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129 | ///\return <tt> (*this) </tt> |
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130 | Dfs &setPredNodeMap(PredNodeMap &m) |
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131 | { |
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132 | if(local_pred_node) { |
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133 | delete pred_node; |
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134 | local_pred_node=false; |
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135 | } |
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136 | pred_node = &m; |
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137 | return *this; |
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138 | } |
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139 | |
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140 | ///Sets the map storing the distances calculated by the algorithm. |
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141 | |
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142 | ///Sets the map storing the distances calculated by the algorithm. |
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143 | ///If you don't use this function before calling \ref run(), |
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144 | ///it will allocate one. The destuctor deallocates this |
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145 | ///automatically allocated map, of course. |
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146 | ///\return <tt> (*this) </tt> |
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147 | Dfs &setDistMap(DistMap &m) |
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148 | { |
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149 | if(local_distance) { |
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150 | delete distance; |
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151 | local_distance=false; |
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152 | } |
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153 | distance = &m; |
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154 | return *this; |
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155 | } |
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156 | |
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157 | ///Runs %DFS algorithm from node \c s. |
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158 | |
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159 | ///This method runs the %DFS algorithm from a root node \c s |
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160 | ///in order to |
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161 | ///compute |
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162 | ///- a %DFS tree and |
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163 | ///- the distance of each node from the root on this tree. |
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164 | |
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165 | void run(Node s) { |
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166 | |
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167 | init_maps(); |
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168 | |
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169 | source = s; |
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170 | |
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171 | for ( NodeIt u(*G) ; u!=INVALID ; ++u ) { |
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172 | predecessor->set(u,INVALID); |
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173 | pred_node->set(u,INVALID); |
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174 | } |
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175 | |
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176 | int N=G->nodeNum(); |
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177 | std::vector<typename Graph::OutEdgeIt> Q(N); |
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178 | |
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179 | int Qh=0; |
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180 | |
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181 | G->first(Q[Qh],s); |
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182 | distance->set(s, 0); |
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183 | |
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184 | Node n=s; |
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185 | Node m; |
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186 | OutEdgeIt e; |
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187 | do { |
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188 | if((e=Q[Qh])!=INVALID) |
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189 | if((m=G->head(e))!=s && (*predecessor)[m=G->head(e)]==INVALID) { |
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190 | predecessor->set(m,e); |
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191 | pred_node->set(m,n); |
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192 | G->first(Q[++Qh],m); |
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193 | distance->set(m,Qh); |
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194 | n=m; |
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195 | } |
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196 | else ++Q[Qh]; |
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197 | else if(--Qh>=0) n=G->tail(Q[Qh]); |
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198 | } while(Qh>=0); |
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199 | } |
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200 | |
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201 | ///The distance of a node from the root on the %DFS tree. |
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202 | |
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203 | ///Returns the distance of a node from the root on the %DFS tree. |
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204 | ///\pre \ref run() must be called before using this function. |
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205 | ///\warning If node \c v in unreachable from the root the return value |
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206 | ///of this funcion is undefined. |
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207 | int dist(Node v) const { return (*distance)[v]; } |
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208 | |
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209 | ///Returns the 'previous edge' of the %DFS path tree. |
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210 | |
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211 | ///For a node \c v it returns the last edge of the path on the %DFS tree |
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212 | ///from the root to \c |
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213 | ///v. It is \ref INVALID |
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214 | ///if \c v is unreachable from the root or if \c v=s. The |
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215 | ///%DFS tree used here is equal to the %DFS tree used in |
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216 | ///\ref predNode(Node v). \pre \ref run() must be called before using |
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217 | ///this function. |
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218 | Edge pred(Node v) const { return (*predecessor)[v]; } |
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219 | |
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220 | ///Returns the 'previous node' of the %DFS tree. |
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221 | |
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222 | ///For a node \c v it returns the 'previous node' on the %DFS tree, |
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223 | ///i.e. it returns the last but one node of the path from the |
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224 | ///root to \c /v on the %DFS tree. |
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225 | ///It is INVALID if \c v is unreachable from the root or if |
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226 | ///\c v=s. |
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227 | ///\pre \ref run() must be called before |
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228 | ///using this function. |
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229 | Node predNode(Node v) const { return (*pred_node)[v]; } |
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230 | |
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231 | ///Returns a reference to the NodeMap of distances on the %DFS tree. |
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232 | |
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233 | ///Returns a reference to the NodeMap of distances on the %DFS tree. |
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234 | ///\pre \ref run() must |
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235 | ///be called before using this function. |
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236 | const DistMap &distMap() const { return *distance;} |
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237 | |
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238 | ///Returns a reference to the %DFS tree map. |
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239 | |
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240 | ///Returns a reference to the NodeMap of the edges of the |
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241 | ///%DFS tree. |
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242 | ///\pre \ref run() must be called before using this function. |
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243 | const PredMap &predMap() const { return *predecessor;} |
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244 | |
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245 | ///Returns a reference to the map of last but one nodes of the %DFS tree. |
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246 | |
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247 | ///Returns a reference to the NodeMap of the last but one nodes of the paths |
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248 | ///on the |
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249 | ///%DFS tree. |
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250 | ///\pre \ref run() must be called before using this function. |
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251 | const PredNodeMap &predNodeMap() const { return *pred_node;} |
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252 | |
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253 | ///Checks if a node is reachable from the root. |
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254 | |
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255 | ///Returns \c true if \c v is reachable from the root. |
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256 | ///\warning The root node is reported to be reached! |
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257 | /// |
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258 | ///\pre \ref run() must be called before using this function. |
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259 | /// |
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260 | bool reached(Node v) { return v==source || (*predecessor)[v]!=INVALID; } |
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261 | |
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262 | }; |
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263 | |
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264 | /// @} |
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265 | |
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266 | } //END OF NAMESPACE HUGO |
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267 | |
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268 | #endif |
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269 | |
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270 | |
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