1 | // -*- c++ -*- |
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2 | #ifndef HUGO_MAX_BIPARTITE_MATCHING_H |
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3 | #define HUGO_MAX_BIPARTITE_MATCHING_H |
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4 | |
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5 | //#include <for_each_macros.h> |
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6 | #include <bipartite_graph_wrapper.h> |
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7 | //#include <hugo/maps.h> |
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8 | #include <max_flow.h> |
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9 | |
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10 | namespace hugo { |
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11 | |
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12 | // template <typename Graph, typename EdgeCap, typename NodeCap, |
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13 | // typename EdgeFlow, typename NodeFlow> |
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14 | // class MaxMatching : public MaxFlow<stGraphWrapper<Graph>, |
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15 | // stGraphWrapper<Graph>:: EdgeMapWrapper<EdgeCan, NodeCap>, stGraphWrapper<Graph>::EdgeMapWrapper<EdgeFlow, NodeFlow> > { |
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16 | // typedef MaxFlow<stGraphWrapper<Graph>, |
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17 | // stGraphWrapper<Graph>::EdgeMapWrapper<EdgeCan, NodeCap>, |
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18 | // stGraphWrapper<Graph>::EdgeMapWrapper<EdgeFlow, NodeFlow> > |
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19 | // Parent; |
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20 | // protected: |
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21 | // stGraphWrapper<Graph> gw; |
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22 | // stGraphWrapper<Graph>::EdgeMapWrapper<EdgeCap, NodeCap> cap; |
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23 | // stGraphWrapper<Graph>::EdgeMapWrapper<EdgeFlow, NodeFlow> flow; |
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24 | // //graph* g; |
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25 | // //EdgeCap* edge_cap; |
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26 | // //EdgeFlow* edge_flow; |
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27 | // public: |
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28 | // MaxMatching(Graph& _g, EdgeCap& _edge_cap, NodeCap& _node_cap, |
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29 | // EdgeFlow& _edge_flow, NodeFlow& _node_flow) : |
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30 | // MaxFlow(), gw(_g), |
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31 | // cap(_edge_cap, _node_cap), flow(_edge_flow, _node_flow) { |
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32 | // Parent::set(gw, cap, flow); |
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33 | // } |
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34 | // }; |
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35 | |
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36 | /// A bipartite matching class. |
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37 | /// This class reduces the matching problem to a flow problem and |
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38 | /// a preflow is used on a wrapper. Such a generic approach means that |
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39 | /// matchings, b-matchings an capacitated b-matchings can be handled in |
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40 | /// a similar way. Due to the efficiency of the preflow algorithm, an |
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41 | /// efficient matching framework is obtained. |
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42 | template <typename Graph, typename EdgeCap, typename NodeCap, |
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43 | typename EdgeFlow, typename NodeFlow> |
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44 | class MaxMatching { |
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45 | protected: |
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46 | // EdgeCap* edge_cap; |
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47 | // NodeCap* node_cap; |
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48 | // EdgeFlow* edge_flow; |
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49 | // NodeFlow* node_flow; |
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50 | typedef stGraphWrapper<Graph> stGW; |
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51 | stGW stgw; |
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52 | typedef typename stGW::template EdgeMapWrapper<EdgeCap, NodeCap> CapMap; |
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53 | CapMap cap; |
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54 | NodeFlow* node_flow; |
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55 | typedef typename stGW::template EdgeMapWrapper<EdgeFlow, NodeFlow> FlowMap; |
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56 | FlowMap flow; |
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57 | MaxFlow<stGW, int, CapMap, FlowMap> mf; |
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58 | //graph* g; |
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59 | //EdgeCap* edge_cap; |
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60 | //EdgeFlow* edge_flow; |
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61 | public: |
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62 | /// For capacitated b-matchings, edge-caoacities and node-capacities |
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63 | /// have to be given. After running \c run the matching is is given |
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64 | /// back in the edge-map \c _edge_flow and \c _node_map can be used |
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65 | /// to obtain saturation information about nodes. |
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66 | ///\bug Note that the values in _edge_flow and _node_flow have |
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67 | /// to form a flow. |
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68 | MaxMatching(Graph& _g, EdgeCap& _edge_cap, NodeCap& _node_cap, |
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69 | EdgeFlow& _edge_flow, NodeFlow& _node_flow) : |
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70 | stgw(_g), |
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71 | cap(_edge_cap, _node_cap), |
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72 | node_flow(0), |
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73 | flow(_edge_flow, _node_flow), |
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74 | mf(stgw, stgw.S_NODE, stgw.T_NODE, cap, flow) { } |
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75 | /// If the saturation information of nodes is not needed that the use of |
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76 | /// this constructor is more comfortable. |
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77 | ///\bug Note that the values in _edge_flow and _node_flow have |
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78 | /// to form a flow. |
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79 | MaxMatching(Graph& _g, EdgeCap& _edge_cap, NodeCap& _node_cap, |
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80 | EdgeFlow& _edge_flow/*, NodeFlow& _node_flow*/) : |
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81 | stgw(_g), |
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82 | cap(_edge_cap, _node_cap), |
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83 | node_flow(new NodeFlow(_g)), |
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84 | flow(_edge_flow, *node_flow), |
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85 | mf(stgw, stgw.S_NODE, stgw.T_NODE, cap, flow) { } |
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86 | /// The class have a nontrivial destructor. |
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87 | ~MaxMatching() { if (node_flow) delete node_flow; } |
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88 | /// run computes the max matching. |
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89 | void run() { mf.run(); } |
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90 | /// The matching value after running \c run. |
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91 | int matchingValue() { return mf.flowValue(); } |
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92 | }; |
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93 | |
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94 | } //namespace hugo |
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95 | |
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96 | #endif //HUGO_MAX_BIPARTITE_MATCHING_H |
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