[780] | 1 | // -*- C++ -*- |
---|
| 2 | #ifndef HUGO_DFS_H |
---|
| 3 | #define HUGO_DFS_H |
---|
| 4 | |
---|
| 5 | ///\ingroup flowalgs |
---|
| 6 | ///\file |
---|
[781] | 7 | ///\brief %DFS algorithm. |
---|
[780] | 8 | /// |
---|
| 9 | ///\todo Revise Manual. |
---|
| 10 | |
---|
| 11 | #include <hugo/bin_heap.h> |
---|
| 12 | #include <hugo/invalid.h> |
---|
| 13 | |
---|
| 14 | namespace hugo { |
---|
| 15 | |
---|
| 16 | /// \addtogroup flowalgs |
---|
| 17 | /// @{ |
---|
| 18 | |
---|
[781] | 19 | ///%DFS algorithm class. |
---|
[780] | 20 | |
---|
[781] | 21 | ///This class provides an efficient implementation of %DFS algorithm. |
---|
[780] | 22 | /// |
---|
| 23 | ///\param GR The graph type the algorithm runs on. |
---|
| 24 | /// |
---|
[781] | 25 | ///\author Alpar Juttner |
---|
[780] | 26 | |
---|
| 27 | #ifdef DOXYGEN |
---|
| 28 | template <typename GR> |
---|
| 29 | #else |
---|
| 30 | template <typename GR> |
---|
| 31 | #endif |
---|
| 32 | class Dfs{ |
---|
| 33 | public: |
---|
| 34 | ///The type of the underlying graph. |
---|
| 35 | typedef GR Graph; |
---|
| 36 | typedef typename Graph::Node Node; |
---|
| 37 | typedef typename Graph::NodeIt NodeIt; |
---|
| 38 | typedef typename Graph::Edge Edge; |
---|
| 39 | typedef typename Graph::OutEdgeIt OutEdgeIt; |
---|
| 40 | |
---|
| 41 | ///\brief The type of the map that stores the last |
---|
[781] | 42 | ///edges of the paths on the %DFS tree. |
---|
[780] | 43 | typedef typename Graph::template NodeMap<Edge> PredMap; |
---|
| 44 | ///\brief The type of the map that stores the last but one |
---|
[781] | 45 | ///nodes of the paths on the %DFS tree. |
---|
[780] | 46 | typedef typename Graph::template NodeMap<Node> PredNodeMap; |
---|
[781] | 47 | ///The type of the map that stores the dists of the nodes on the %DFS tree. |
---|
[780] | 48 | typedef typename Graph::template NodeMap<int> DistMap; |
---|
| 49 | |
---|
| 50 | private: |
---|
| 51 | const Graph *G; |
---|
| 52 | PredMap *predecessor; |
---|
| 53 | bool local_predecessor; |
---|
| 54 | PredNodeMap *pred_node; |
---|
| 55 | bool local_pred_node; |
---|
| 56 | DistMap *distance; |
---|
| 57 | bool local_distance; |
---|
| 58 | |
---|
| 59 | //The source node of the last execution. |
---|
| 60 | Node source; |
---|
| 61 | |
---|
| 62 | |
---|
[781] | 63 | ///Initializes the maps. |
---|
[780] | 64 | void init_maps() |
---|
| 65 | { |
---|
| 66 | if(!predecessor) { |
---|
| 67 | local_predecessor = true; |
---|
| 68 | predecessor = new PredMap(*G); |
---|
| 69 | } |
---|
| 70 | if(!pred_node) { |
---|
| 71 | local_pred_node = true; |
---|
| 72 | pred_node = new PredNodeMap(*G); |
---|
| 73 | } |
---|
| 74 | if(!distance) { |
---|
| 75 | local_distance = true; |
---|
| 76 | distance = new DistMap(*G); |
---|
| 77 | } |
---|
| 78 | } |
---|
| 79 | |
---|
| 80 | public : |
---|
| 81 | Dfs(const Graph& _G) : |
---|
| 82 | G(&_G), |
---|
| 83 | predecessor(NULL), local_predecessor(false), |
---|
| 84 | pred_node(NULL), local_pred_node(false), |
---|
| 85 | distance(NULL), local_distance(false) |
---|
| 86 | { } |
---|
| 87 | |
---|
| 88 | ~Dfs() |
---|
| 89 | { |
---|
| 90 | if(local_predecessor) delete predecessor; |
---|
| 91 | if(local_pred_node) delete pred_node; |
---|
| 92 | if(local_distance) delete distance; |
---|
| 93 | } |
---|
| 94 | |
---|
| 95 | ///Sets the graph the algorithm will run on. |
---|
| 96 | |
---|
| 97 | ///Sets the graph the algorithm will run on. |
---|
| 98 | ///\return <tt> (*this) </tt> |
---|
[781] | 99 | ///\bug What about maps? |
---|
| 100 | ///\todo It may be unnecessary |
---|
[780] | 101 | Dfs &setGraph(const Graph &_G) |
---|
| 102 | { |
---|
| 103 | G = &_G; |
---|
| 104 | return *this; |
---|
| 105 | } |
---|
| 106 | ///Sets the map storing the predecessor edges. |
---|
| 107 | |
---|
| 108 | ///Sets the map storing the predecessor edges. |
---|
| 109 | ///If you don't use this function before calling \ref run(), |
---|
| 110 | ///it will allocate one. The destuctor deallocates this |
---|
| 111 | ///automatically allocated map, of course. |
---|
| 112 | ///\return <tt> (*this) </tt> |
---|
| 113 | Dfs &setPredMap(PredMap &m) |
---|
| 114 | { |
---|
| 115 | if(local_predecessor) { |
---|
| 116 | delete predecessor; |
---|
| 117 | local_predecessor=false; |
---|
| 118 | } |
---|
| 119 | predecessor = &m; |
---|
| 120 | return *this; |
---|
| 121 | } |
---|
| 122 | |
---|
| 123 | ///Sets the map storing the predecessor nodes. |
---|
| 124 | |
---|
| 125 | ///Sets the map storing the predecessor nodes. |
---|
| 126 | ///If you don't use this function before calling \ref run(), |
---|
| 127 | ///it will allocate one. The destuctor deallocates this |
---|
| 128 | ///automatically allocated map, of course. |
---|
| 129 | ///\return <tt> (*this) </tt> |
---|
| 130 | Dfs &setPredNodeMap(PredNodeMap &m) |
---|
| 131 | { |
---|
| 132 | if(local_pred_node) { |
---|
| 133 | delete pred_node; |
---|
| 134 | local_pred_node=false; |
---|
| 135 | } |
---|
| 136 | pred_node = &m; |
---|
| 137 | return *this; |
---|
| 138 | } |
---|
| 139 | |
---|
| 140 | ///Sets the map storing the distances calculated by the algorithm. |
---|
| 141 | |
---|
| 142 | ///Sets the map storing the distances calculated by the algorithm. |
---|
| 143 | ///If you don't use this function before calling \ref run(), |
---|
| 144 | ///it will allocate one. The destuctor deallocates this |
---|
| 145 | ///automatically allocated map, of course. |
---|
| 146 | ///\return <tt> (*this) </tt> |
---|
| 147 | Dfs &setDistMap(DistMap &m) |
---|
| 148 | { |
---|
| 149 | if(local_distance) { |
---|
| 150 | delete distance; |
---|
| 151 | local_distance=false; |
---|
| 152 | } |
---|
| 153 | distance = &m; |
---|
| 154 | return *this; |
---|
| 155 | } |
---|
| 156 | |
---|
| 157 | ///Runs %DFS algorithm from node \c s. |
---|
| 158 | |
---|
| 159 | ///This method runs the %DFS algorithm from a root node \c s |
---|
| 160 | ///in order to |
---|
[781] | 161 | ///compute |
---|
| 162 | ///- a %DFS tree and |
---|
| 163 | ///- the distance of each node from the root on this tree. |
---|
[780] | 164 | |
---|
| 165 | void run(Node s) { |
---|
| 166 | |
---|
| 167 | init_maps(); |
---|
| 168 | |
---|
| 169 | source = s; |
---|
| 170 | |
---|
| 171 | for ( NodeIt u(*G) ; u!=INVALID ; ++u ) { |
---|
| 172 | predecessor->set(u,INVALID); |
---|
| 173 | pred_node->set(u,INVALID); |
---|
| 174 | } |
---|
| 175 | |
---|
| 176 | int N=G->nodeNum(); |
---|
| 177 | std::vector<typename Graph::OutEdgeIt> Q(N); |
---|
| 178 | |
---|
| 179 | int Qh=0; |
---|
| 180 | |
---|
| 181 | G->first(Q[Qh],s); |
---|
| 182 | distance->set(s, 0); |
---|
| 183 | |
---|
| 184 | Node n=s; |
---|
| 185 | Node m; |
---|
| 186 | OutEdgeIt e; |
---|
| 187 | do { |
---|
| 188 | if((e=Q[Qh])!=INVALID) |
---|
| 189 | if((m=G->head(e))!=s && (*predecessor)[m=G->head(e)]==INVALID) { |
---|
| 190 | predecessor->set(m,e); |
---|
| 191 | pred_node->set(m,n); |
---|
| 192 | G->first(Q[++Qh],m); |
---|
| 193 | distance->set(m,Qh); |
---|
| 194 | n=m; |
---|
| 195 | } |
---|
| 196 | else ++Q[Qh]; |
---|
| 197 | else if(--Qh>=0) n=G->tail(Q[Qh]); |
---|
| 198 | } while(Qh>=0); |
---|
| 199 | } |
---|
| 200 | |
---|
[781] | 201 | ///The distance of a node from the root on the %DFS tree. |
---|
[780] | 202 | |
---|
[781] | 203 | ///Returns the distance of a node from the root on the %DFS tree. |
---|
[780] | 204 | ///\pre \ref run() must be called before using this function. |
---|
| 205 | ///\warning If node \c v in unreachable from the root the return value |
---|
| 206 | ///of this funcion is undefined. |
---|
| 207 | int dist(Node v) const { return (*distance)[v]; } |
---|
| 208 | |
---|
[781] | 209 | ///Returns the 'previous edge' of the %DFS path tree. |
---|
[780] | 210 | |
---|
[781] | 211 | ///For a node \c v it returns the last edge of the path on the %DFS tree |
---|
| 212 | ///from the root to \c |
---|
[780] | 213 | ///v. It is \ref INVALID |
---|
| 214 | ///if \c v is unreachable from the root or if \c v=s. The |
---|
[781] | 215 | ///%DFS tree used here is equal to the %DFS tree used in |
---|
[780] | 216 | ///\ref predNode(Node v). \pre \ref run() must be called before using |
---|
| 217 | ///this function. |
---|
| 218 | Edge pred(Node v) const { return (*predecessor)[v]; } |
---|
| 219 | |
---|
[781] | 220 | ///Returns the 'previous node' of the %DFS tree. |
---|
[780] | 221 | |
---|
[781] | 222 | ///For a node \c v it returns the 'previous node' on the %DFS tree, |
---|
| 223 | ///i.e. it returns the last but one node of the path from the |
---|
| 224 | ///root to \c /v on the %DFS tree. |
---|
| 225 | ///It is INVALID if \c v is unreachable from the root or if |
---|
| 226 | ///\c v=s. |
---|
| 227 | ///\pre \ref run() must be called before |
---|
[780] | 228 | ///using this function. |
---|
| 229 | Node predNode(Node v) const { return (*pred_node)[v]; } |
---|
| 230 | |
---|
[781] | 231 | ///Returns a reference to the NodeMap of distances on the %DFS tree. |
---|
[780] | 232 | |
---|
[781] | 233 | ///Returns a reference to the NodeMap of distances on the %DFS tree. |
---|
| 234 | ///\pre \ref run() must |
---|
[780] | 235 | ///be called before using this function. |
---|
| 236 | const DistMap &distMap() const { return *distance;} |
---|
| 237 | |
---|
[781] | 238 | ///Returns a reference to the %DFS tree map. |
---|
[780] | 239 | |
---|
| 240 | ///Returns a reference to the NodeMap of the edges of the |
---|
[781] | 241 | ///%DFS tree. |
---|
[780] | 242 | ///\pre \ref run() must be called before using this function. |
---|
| 243 | const PredMap &predMap() const { return *predecessor;} |
---|
| 244 | |
---|
[781] | 245 | ///Returns a reference to the map of last but one nodes of the %DFS tree. |
---|
[780] | 246 | |
---|
[781] | 247 | ///Returns a reference to the NodeMap of the last but one nodes of the paths |
---|
| 248 | ///on the |
---|
| 249 | ///%DFS tree. |
---|
[780] | 250 | ///\pre \ref run() must be called before using this function. |
---|
| 251 | const PredNodeMap &predNodeMap() const { return *pred_node;} |
---|
| 252 | |
---|
| 253 | ///Checks if a node is reachable from the root. |
---|
| 254 | |
---|
| 255 | ///Returns \c true if \c v is reachable from the root. |
---|
| 256 | ///\warning The root node is reported to be reached! |
---|
| 257 | /// |
---|
| 258 | ///\pre \ref run() must be called before using this function. |
---|
| 259 | /// |
---|
| 260 | bool reached(Node v) { return v==source || (*predecessor)[v]!=INVALID; } |
---|
| 261 | |
---|
| 262 | }; |
---|
| 263 | |
---|
| 264 | /// @} |
---|
| 265 | |
---|
| 266 | } //END OF NAMESPACE HUGO |
---|
| 267 | |
---|
| 268 | #endif |
---|
| 269 | |
---|
| 270 | |
---|