[774] | 1 | // -*- C++ -*- |
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| 2 | #ifndef HUGO_BFS_H |
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| 3 | #define HUGO_BFS_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 Bfs 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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[781] | 19 | ///%BFS algorithm class. |
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[774] | 20 | |
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[781] | 21 | ///This class provides an efficient implementation of %BFS algorithm. |
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| 22 | ///\param GR The graph type the algorithm runs on. |
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| 23 | ///This class does the same as Dijkstra does with constant 1 edge length, |
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| 24 | ///but it is faster. |
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[774] | 25 | /// |
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[781] | 26 | ///\author Alpar Juttner |
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[774] | 27 | |
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| 28 | #ifdef DOXYGEN |
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| 29 | template <typename GR> |
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| 30 | #else |
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| 31 | template <typename GR> |
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| 32 | #endif |
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| 33 | class Bfs{ |
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| 34 | public: |
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| 35 | ///The type of the underlying graph. |
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| 36 | typedef GR Graph; |
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| 37 | typedef typename Graph::Node Node; |
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| 38 | typedef typename Graph::NodeIt NodeIt; |
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| 39 | typedef typename Graph::Edge Edge; |
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| 40 | typedef typename Graph::OutEdgeIt OutEdgeIt; |
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| 41 | |
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| 42 | ///\brief The type of the map that stores the last |
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| 43 | ///edges of the shortest paths. |
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| 44 | typedef typename Graph::template NodeMap<Edge> PredMap; |
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| 45 | ///\brief The type of the map that stores the last but one |
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| 46 | ///nodes of the shortest paths. |
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| 47 | typedef typename Graph::template NodeMap<Node> PredNodeMap; |
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| 48 | ///The type of the map that stores the dists of the nodes. |
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| 49 | typedef typename Graph::template NodeMap<int> DistMap; |
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| 50 | |
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| 51 | private: |
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| 52 | const Graph *G; |
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| 53 | PredMap *predecessor; |
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| 54 | bool local_predecessor; |
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| 55 | PredNodeMap *pred_node; |
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| 56 | bool local_pred_node; |
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| 57 | DistMap *distance; |
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| 58 | bool local_distance; |
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| 59 | |
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| 60 | //The source node of the last execution. |
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| 61 | Node source; |
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| 62 | |
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| 63 | |
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[781] | 64 | ///Initializes the maps. |
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[774] | 65 | void init_maps() |
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| 66 | { |
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| 67 | if(!predecessor) { |
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| 68 | local_predecessor = true; |
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| 69 | predecessor = new PredMap(*G); |
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| 70 | } |
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| 71 | if(!pred_node) { |
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| 72 | local_pred_node = true; |
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| 73 | pred_node = new PredNodeMap(*G); |
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| 74 | } |
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| 75 | if(!distance) { |
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| 76 | local_distance = true; |
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| 77 | distance = new DistMap(*G); |
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| 78 | } |
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| 79 | } |
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| 80 | |
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| 81 | public : |
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| 82 | Bfs(const Graph& _G) : |
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| 83 | G(&_G), |
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| 84 | predecessor(NULL), local_predecessor(false), |
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| 85 | pred_node(NULL), local_pred_node(false), |
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| 86 | distance(NULL), local_distance(false) |
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| 87 | { } |
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| 88 | |
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| 89 | ~Bfs() |
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| 90 | { |
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| 91 | if(local_predecessor) delete predecessor; |
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| 92 | if(local_pred_node) delete pred_node; |
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| 93 | if(local_distance) delete distance; |
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| 94 | } |
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| 95 | |
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| 96 | ///Sets the graph the algorithm will run on. |
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| 97 | |
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| 98 | ///Sets the graph the algorithm will run on. |
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| 99 | ///\return <tt> (*this) </tt> |
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[781] | 100 | ///\bug What about maps? |
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| 101 | ///\todo It may be unnecessary |
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[774] | 102 | Bfs &setGraph(const Graph &_G) |
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| 103 | { |
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| 104 | G = &_G; |
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| 105 | return *this; |
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| 106 | } |
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| 107 | ///Sets the map storing the predecessor edges. |
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| 108 | |
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| 109 | ///Sets the map storing the predecessor edges. |
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| 110 | ///If you don't use this function before calling \ref run(), |
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| 111 | ///it will allocate one. The destuctor deallocates this |
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| 112 | ///automatically allocated map, of course. |
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| 113 | ///\return <tt> (*this) </tt> |
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| 114 | Bfs &setPredMap(PredMap &m) |
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| 115 | { |
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| 116 | if(local_predecessor) { |
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| 117 | delete predecessor; |
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| 118 | local_predecessor=false; |
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| 119 | } |
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| 120 | predecessor = &m; |
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| 121 | return *this; |
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| 122 | } |
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| 123 | |
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| 124 | ///Sets the map storing the predecessor nodes. |
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| 125 | |
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| 126 | ///Sets the map storing the predecessor nodes. |
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| 127 | ///If you don't use this function before calling \ref run(), |
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| 128 | ///it will allocate one. The destuctor deallocates this |
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| 129 | ///automatically allocated map, of course. |
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| 130 | ///\return <tt> (*this) </tt> |
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| 131 | Bfs &setPredNodeMap(PredNodeMap &m) |
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| 132 | { |
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| 133 | if(local_pred_node) { |
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| 134 | delete pred_node; |
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| 135 | local_pred_node=false; |
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| 136 | } |
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| 137 | pred_node = &m; |
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| 138 | return *this; |
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| 139 | } |
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| 140 | |
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| 141 | ///Sets the map storing the distances calculated by the algorithm. |
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| 142 | |
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| 143 | ///Sets the map storing the distances calculated by the algorithm. |
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| 144 | ///If you don't use this function before calling \ref run(), |
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| 145 | ///it will allocate one. The destuctor deallocates this |
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| 146 | ///automatically allocated map, of course. |
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| 147 | ///\return <tt> (*this) </tt> |
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| 148 | Bfs &setDistMap(DistMap &m) |
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| 149 | { |
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| 150 | if(local_distance) { |
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| 151 | delete distance; |
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| 152 | local_distance=false; |
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| 153 | } |
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| 154 | distance = &m; |
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| 155 | return *this; |
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| 156 | } |
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| 157 | |
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| 158 | ///Runs %BFS algorithm from node \c s. |
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| 159 | |
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| 160 | ///This method runs the %BFS algorithm from a root node \c s |
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| 161 | ///in order to |
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[781] | 162 | ///compute a |
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[774] | 163 | ///shortest path to each node. The algorithm computes |
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[781] | 164 | ///- The %BFS tree. |
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[774] | 165 | ///- The distance of each node from the root. |
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| 166 | |
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| 167 | void run(Node s) { |
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| 168 | |
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| 169 | init_maps(); |
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| 170 | |
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| 171 | source = s; |
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| 172 | |
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| 173 | for ( NodeIt u(*G) ; u!=INVALID ; ++u ) { |
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| 174 | predecessor->set(u,INVALID); |
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| 175 | pred_node->set(u,INVALID); |
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| 176 | } |
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| 177 | |
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| 178 | int N=G->nodeNum(); |
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| 179 | std::vector<typename Graph::Node> Q(N); |
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| 180 | int Qh=0; |
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| 181 | int Qt=0; |
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| 182 | |
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| 183 | Q[Qh++]=source; |
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| 184 | distance->set(s, 0); |
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| 185 | do { |
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| 186 | Node m; |
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| 187 | Node n=Q[Qt++]; |
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| 188 | int d= (*distance)[n]+1; |
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| 189 | |
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| 190 | for(OutEdgeIt e(*G,n);e!=INVALID;++e) |
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| 191 | if((m=G->head(e))!=s && (*predecessor)[m]==INVALID) { |
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| 192 | Q[Qh++]=m; |
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| 193 | predecessor->set(m,e); |
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| 194 | pred_node->set(m,n); |
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| 195 | distance->set(m,d); |
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| 196 | } |
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| 197 | } while(Qt!=Qh); |
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| 198 | } |
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| 199 | |
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| 200 | ///The distance of a node from the root. |
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| 201 | |
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| 202 | ///Returns the distance of a node from the root. |
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| 203 | ///\pre \ref run() must be called before using this function. |
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| 204 | ///\warning If node \c v in unreachable from the root the return value |
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| 205 | ///of this funcion is undefined. |
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| 206 | int dist(Node v) const { return (*distance)[v]; } |
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| 207 | |
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[781] | 208 | ///Returns the 'previous edge' of the %BFS path tree. |
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[774] | 209 | |
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[781] | 210 | ///For a node \c v it returns the 'previous edge' of the %BFS tree, |
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| 211 | ///i.e. it returns the last edge of a shortest path from the root to \c |
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[774] | 212 | ///v. It is \ref INVALID |
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| 213 | ///if \c v is unreachable from the root or if \c v=s. The |
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[781] | 214 | ///%BFS tree used here is equal to the %BFS tree used in |
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[774] | 215 | ///\ref predNode(Node v). \pre \ref run() must be called before using |
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| 216 | ///this function. |
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| 217 | Edge pred(Node v) const { return (*predecessor)[v]; } |
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| 218 | |
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[781] | 219 | ///Returns the 'previous node' of the %BFS tree. |
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[774] | 220 | |
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[781] | 221 | ///For a node \c v it returns the 'previous node' on the %BFS tree, |
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[774] | 222 | ///i.e. it returns the last but one node from a shortest path from the |
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| 223 | ///root to \c /v. It is INVALID if \c v is unreachable from the root or if |
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[781] | 224 | ///\c v=s. The shortest path tree used here is equal to the %BFS |
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[774] | 225 | ///tree used in \ref pred(Node v). \pre \ref run() must be called before |
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| 226 | ///using this function. |
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| 227 | Node predNode(Node v) const { return (*pred_node)[v]; } |
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| 228 | |
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| 229 | ///Returns a reference to the NodeMap of distances. |
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| 230 | |
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| 231 | ///Returns a reference to the NodeMap of distances. \pre \ref run() must |
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| 232 | ///be called before using this function. |
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| 233 | const DistMap &distMap() const { return *distance;} |
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| 234 | |
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[781] | 235 | ///Returns a reference to the %BFS tree map. |
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[774] | 236 | |
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| 237 | ///Returns a reference to the NodeMap of the edges of the |
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[781] | 238 | ///%BFS tree. |
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[774] | 239 | ///\pre \ref run() must be called before using this function. |
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| 240 | const PredMap &predMap() const { return *predecessor;} |
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| 241 | |
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[781] | 242 | ///Returns a reference to the map of last but one nodes of shortest paths. |
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[774] | 243 | |
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[781] | 244 | ///Returns a reference to the NodeMap of the last but one nodes on the |
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| 245 | ///%BFS tree. |
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[774] | 246 | ///\pre \ref run() must be called before using this function. |
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| 247 | const PredNodeMap &predNodeMap() const { return *pred_node;} |
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| 248 | |
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| 249 | ///Checks if a node is reachable from the root. |
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| 250 | |
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| 251 | ///Returns \c true if \c v is reachable from the root. |
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| 252 | ///\warning The root node is reported to be reached! |
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| 253 | /// |
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| 254 | ///\pre \ref run() must be called before using this function. |
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| 255 | /// |
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[780] | 256 | bool reached(Node v) { return v==source || (*predecessor)[v]!=INVALID; } |
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[774] | 257 | |
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| 258 | }; |
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| 259 | |
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| 260 | /// @} |
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| 261 | |
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| 262 | } //END OF NAMESPACE HUGO |
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| 263 | |
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| 264 | #endif |
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| 265 | |
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| 266 | |
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