[556] | 1 | // -*- c++ -*- |
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| 2 | #ifndef HUGO_GRAPH_WRAPPER_H |
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| 3 | #define HUGO_GRAPH_WRAPPER_H |
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| 4 | |
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| 5 | ///\ingroup gwrappers |
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| 6 | ///\file |
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| 7 | ///\brief Several graph wrappers. |
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| 8 | /// |
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| 9 | ///This file contains several useful graph wrapper functions. |
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| 10 | /// |
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| 11 | ///\author Marton Makai |
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| 12 | |
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| 13 | #include <hugo/invalid.h> |
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[650] | 14 | #include <hugo/maps.h> |
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[774] | 15 | #include <iostream> |
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[556] | 16 | |
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| 17 | namespace hugo { |
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| 18 | |
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| 19 | // Graph wrappers |
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| 20 | |
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| 21 | /// \addtogroup gwrappers |
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| 22 | /// A main parts of HUGOlib are the different graph structures, |
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| 23 | /// generic graph algorithms, graph concepts which couple these, and |
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| 24 | /// graph wrappers. While the previous ones are more or less clear, the |
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| 25 | /// latter notion needs further explanation. |
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| 26 | /// Graph wrappers are graph classes which serve for considering graph |
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| 27 | /// structures in different ways. A short example makes the notion much |
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| 28 | /// clearer. |
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| 29 | /// Suppose that we have an instance \c g of a directed graph |
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| 30 | /// type say \c ListGraph and an algorithm |
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| 31 | /// \code template<typename Graph> int algorithm(const Graph&); \endcode |
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| 32 | /// is needed to run on the reversely oriented graph. |
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| 33 | /// It may be expensive (in time or in memory usage) to copy |
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| 34 | /// \c g with the reverse orientation. |
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| 35 | /// Thus, a wrapper class |
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| 36 | /// \code template<typename Graph> class RevGraphWrapper; \endcode is used. |
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| 37 | /// The code looks as follows |
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| 38 | /// \code |
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| 39 | /// ListGraph g; |
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| 40 | /// RevGraphWrapper<ListGraph> rgw(g); |
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| 41 | /// int result=algorithm(rgw); |
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| 42 | /// \endcode |
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| 43 | /// After running the algorithm, the original graph \c g |
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| 44 | /// remains untouched. Thus the graph wrapper used above is to consider the |
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| 45 | /// original graph with reverse orientation. |
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| 46 | /// This techniques gives rise to an elegant code, and |
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| 47 | /// based on stable graph wrappers, complex algorithms can be |
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| 48 | /// implemented easily. |
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| 49 | /// In flow, circulation and bipartite matching problems, the residual |
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| 50 | /// graph is of particular importance. Combining a wrapper implementing |
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| 51 | /// this, shortest path algorithms and minimum mean cycle algorithms, |
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| 52 | /// a range of weighted and cardinality optimization algorithms can be |
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| 53 | /// obtained. For lack of space, for other examples, |
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| 54 | /// the interested user is referred to the detailed documentation of graph |
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| 55 | /// wrappers. |
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| 56 | /// The behavior of graph wrappers can be very different. Some of them keep |
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| 57 | /// capabilities of the original graph while in other cases this would be |
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| 58 | /// meaningless. This means that the concepts that they are a model of depend |
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| 59 | /// on the graph wrapper, and the wrapped graph(s). |
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| 60 | /// If an edge of \c rgw is deleted, this is carried out by |
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| 61 | /// deleting the corresponding edge of \c g. But for a residual |
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| 62 | /// graph, this operation has no sense. |
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| 63 | /// Let we stand one more example here to simplify your work. |
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| 64 | /// wrapper class |
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| 65 | /// \code template<typename Graph> class RevGraphWrapper; \endcode |
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| 66 | /// has constructor |
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| 67 | /// <tt> RevGraphWrapper(Graph& _g)</tt>. |
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| 68 | /// This means that in a situation, |
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| 69 | /// when a <tt> const ListGraph& </tt> reference to a graph is given, |
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| 70 | /// then it have to be instantiated with <tt>Graph=const ListGraph</tt>. |
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| 71 | /// \code |
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| 72 | /// int algorithm1(const ListGraph& g) { |
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| 73 | /// RevGraphWrapper<const ListGraph> rgw(g); |
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| 74 | /// return algorithm2(rgw); |
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| 75 | /// } |
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| 76 | /// \endcode |
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| 77 | |
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| 78 | /// \addtogroup gwrappers |
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| 79 | /// @{ |
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| 80 | |
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| 81 | ///Base type for the Graph Wrappers |
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| 82 | |
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| 83 | ///This is the base type for the Graph Wrappers. |
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| 84 | ///\todo Some more docs... |
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| 85 | /// |
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[612] | 86 | ///\author Marton Makai |
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[556] | 87 | template<typename Graph> |
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| 88 | class GraphWrapper { |
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| 89 | protected: |
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| 90 | Graph* graph; |
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| 91 | GraphWrapper() : graph(0) { } |
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| 92 | void setGraph(Graph& _graph) { graph=&_graph; } |
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| 93 | |
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| 94 | public: |
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| 95 | typedef Graph BaseGraph; |
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| 96 | typedef Graph ParentGraph; |
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| 97 | |
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| 98 | GraphWrapper(Graph& _graph) : graph(&_graph) { } |
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[774] | 99 | GraphWrapper(const GraphWrapper<Graph>& gw) : graph(gw.graph) { } |
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[556] | 100 | |
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[774] | 101 | typedef typename Graph::Node Node; |
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| 102 | class NodeIt : public Node { |
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| 103 | const GraphWrapper<Graph>* gw; |
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[556] | 104 | friend class GraphWrapper<Graph>; |
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| 105 | public: |
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| 106 | NodeIt() { } |
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[774] | 107 | NodeIt(Invalid i) : Node(i) { } |
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| 108 | NodeIt(const GraphWrapper<Graph>& _gw) : |
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| 109 | Node(typename Graph::NodeIt(*(_gw.graph))), gw(&_gw) { } |
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| 110 | NodeIt(const GraphWrapper<Graph>& _gw, const Node& n) : |
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| 111 | Node(n), gw(&_gw) { } |
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| 112 | NodeIt& operator++() { |
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| 113 | *(static_cast<Node*>(this))= |
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| 114 | ++(typename Graph::NodeIt(*(gw->graph), *this)); |
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| 115 | return *this; |
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| 116 | } |
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[556] | 117 | }; |
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[774] | 118 | typedef typename Graph::Edge Edge; |
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| 119 | class OutEdgeIt : public Edge { |
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| 120 | const GraphWrapper<Graph>* gw; |
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[556] | 121 | friend class GraphWrapper<Graph>; |
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[774] | 122 | public: |
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| 123 | OutEdgeIt() { } |
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| 124 | OutEdgeIt(Invalid i) : Edge(i) { } |
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| 125 | OutEdgeIt(const GraphWrapper<Graph>& _gw, const Node& n) : |
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| 126 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n)), gw(&_gw) { } |
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| 127 | OutEdgeIt(const GraphWrapper<Graph>& _gw, const Edge& e) : |
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| 128 | Edge(e), gw(&_gw) { } |
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| 129 | OutEdgeIt& operator++() { |
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| 130 | *(static_cast<Edge*>(this))= |
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| 131 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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| 132 | return *this; |
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| 133 | } |
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[556] | 134 | }; |
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[774] | 135 | class InEdgeIt : public Edge { |
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| 136 | const GraphWrapper<Graph>* gw; |
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[556] | 137 | friend class GraphWrapper<Graph>; |
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[774] | 138 | public: |
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[556] | 139 | InEdgeIt() { } |
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[774] | 140 | InEdgeIt(Invalid i) : Edge(i) { } |
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| 141 | InEdgeIt(const GraphWrapper<Graph>& _gw, const Node& n) : |
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| 142 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n)), gw(&_gw) { } |
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| 143 | InEdgeIt(const GraphWrapper<Graph>& _gw, const Edge& e) : |
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| 144 | Edge(e), gw(&_gw) { } |
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| 145 | InEdgeIt& operator++() { |
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| 146 | *(static_cast<Edge*>(this))= |
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| 147 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
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| 148 | return *this; |
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| 149 | } |
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[556] | 150 | }; |
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[774] | 151 | class EdgeIt : public Edge { |
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| 152 | const GraphWrapper<Graph>* gw; |
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[556] | 153 | friend class GraphWrapper<Graph>; |
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[774] | 154 | public: |
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[556] | 155 | EdgeIt() { } |
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[774] | 156 | EdgeIt(Invalid i) : Edge(i) { } |
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| 157 | EdgeIt(const GraphWrapper<Graph>& _gw) : |
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| 158 | Edge(typename Graph::EdgeIt(*(_gw.graph))), gw(&_gw) { } |
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| 159 | EdgeIt(const GraphWrapper<Graph>& _gw, const Edge& e) : |
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[777] | 160 | Edge(e), gw(&_gw) { } |
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[774] | 161 | EdgeIt& operator++() { |
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| 162 | *(static_cast<Edge*>(this))= |
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| 163 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
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| 164 | return *this; |
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| 165 | } |
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[556] | 166 | }; |
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| 167 | |
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| 168 | NodeIt& first(NodeIt& i) const { |
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| 169 | i=NodeIt(*this); return i; |
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| 170 | } |
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| 171 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
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| 172 | i=OutEdgeIt(*this, p); return i; |
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| 173 | } |
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| 174 | InEdgeIt& first(InEdgeIt& i, const Node& p) const { |
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| 175 | i=InEdgeIt(*this, p); return i; |
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| 176 | } |
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| 177 | EdgeIt& first(EdgeIt& i) const { |
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| 178 | i=EdgeIt(*this); return i; |
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| 179 | } |
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| 180 | |
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| 181 | Node tail(const Edge& e) const { |
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| 182 | return Node(graph->tail(static_cast<typename Graph::Edge>(e))); } |
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| 183 | Node head(const Edge& e) const { |
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| 184 | return Node(graph->head(static_cast<typename Graph::Edge>(e))); } |
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| 185 | |
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| 186 | int nodeNum() const { return graph->nodeNum(); } |
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| 187 | int edgeNum() const { return graph->edgeNum(); } |
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| 188 | |
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| 189 | Node addNode() const { return Node(graph->addNode()); } |
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| 190 | Edge addEdge(const Node& tail, const Node& head) const { |
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| 191 | return Edge(graph->addEdge(tail, head)); } |
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| 192 | |
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| 193 | void erase(const Node& i) const { graph->erase(i); } |
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| 194 | void erase(const Edge& i) const { graph->erase(i); } |
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| 195 | |
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| 196 | void clear() const { graph->clear(); } |
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| 197 | |
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[736] | 198 | bool forward(const Edge& e) const { return graph->forward(e); } |
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| 199 | bool backward(const Edge& e) const { return graph->backward(e); } |
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[739] | 200 | |
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| 201 | int id(const Node& v) const { return graph->id(v); } |
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| 202 | int id(const Edge& e) const { return graph->id(e); } |
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[650] | 203 | |
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[738] | 204 | Edge opposite(const Edge& e) const { return Edge(graph->opposite(e)); } |
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[650] | 205 | |
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[556] | 206 | |
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[877] | 207 | IMPORT_NODE_MAP(Graph, *(gw.graph), GraphWrapper, gw); |
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| 208 | IMPORT_EDGE_MAP(Graph, *(gw.graph), GraphWrapper, gw); |
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| 209 | |
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| 210 | |
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[556] | 211 | }; |
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| 212 | |
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[569] | 213 | |
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| 214 | |
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[556] | 215 | /// A graph wrapper which reverses the orientation of the edges. |
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| 216 | |
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| 217 | /// A graph wrapper which reverses the orientation of the edges. |
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[612] | 218 | /// Thus \c Graph have to be a directed graph type. |
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[556] | 219 | /// |
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| 220 | ///\author Marton Makai |
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| 221 | template<typename Graph> |
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| 222 | class RevGraphWrapper : public GraphWrapper<Graph> { |
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[650] | 223 | public: |
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| 224 | typedef GraphWrapper<Graph> Parent; |
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[556] | 225 | protected: |
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[612] | 226 | RevGraphWrapper() : GraphWrapper<Graph>() { } |
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[556] | 227 | public: |
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| 228 | RevGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { } |
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[774] | 229 | RevGraphWrapper(const RevGraphWrapper<Graph>& gw) : Parent(gw) { } |
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[556] | 230 | |
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| 231 | typedef typename GraphWrapper<Graph>::Node Node; |
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| 232 | typedef typename GraphWrapper<Graph>::Edge Edge; |
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[792] | 233 | //remark: OutEdgeIt and InEdgeIt cannot be typedef-ed to each other |
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| 234 | //because this does not work is some of them are not defined in the |
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| 235 | //original graph. The problem with this is that typedef-ed stuff |
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| 236 | //are instantiated in c++. |
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[774] | 237 | class OutEdgeIt : public Edge { |
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| 238 | const RevGraphWrapper<Graph>* gw; |
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[556] | 239 | friend class GraphWrapper<Graph>; |
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[774] | 240 | public: |
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[556] | 241 | OutEdgeIt() { } |
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[774] | 242 | OutEdgeIt(Invalid i) : Edge(i) { } |
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| 243 | OutEdgeIt(const RevGraphWrapper<Graph>& _gw, const Node& n) : |
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| 244 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n)), gw(&_gw) { } |
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| 245 | OutEdgeIt(const RevGraphWrapper<Graph>& _gw, const Edge& e) : |
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| 246 | Edge(e), gw(&_gw) { } |
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| 247 | OutEdgeIt& operator++() { |
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| 248 | *(static_cast<Edge*>(this))= |
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| 249 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
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| 250 | return *this; |
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| 251 | } |
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[556] | 252 | }; |
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[774] | 253 | class InEdgeIt : public Edge { |
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| 254 | const RevGraphWrapper<Graph>* gw; |
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[556] | 255 | friend class GraphWrapper<Graph>; |
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[774] | 256 | public: |
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[556] | 257 | InEdgeIt() { } |
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[774] | 258 | InEdgeIt(Invalid i) : Edge(i) { } |
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| 259 | InEdgeIt(const RevGraphWrapper<Graph>& _gw, const Node& n) : |
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| 260 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n)), gw(&_gw) { } |
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| 261 | InEdgeIt(const RevGraphWrapper<Graph>& _gw, const Edge& e) : |
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| 262 | Edge(e), gw(&_gw) { } |
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| 263 | InEdgeIt& operator++() { |
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| 264 | *(static_cast<Edge*>(this))= |
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| 265 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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| 266 | return *this; |
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| 267 | } |
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[556] | 268 | }; |
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| 269 | |
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| 270 | using GraphWrapper<Graph>::first; |
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| 271 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
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| 272 | i=OutEdgeIt(*this, p); return i; |
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| 273 | } |
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| 274 | InEdgeIt& first(InEdgeIt& i, const Node& p) const { |
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| 275 | i=InEdgeIt(*this, p); return i; |
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| 276 | } |
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| 277 | |
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| 278 | Node tail(const Edge& e) const { |
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| 279 | return GraphWrapper<Graph>::head(e); } |
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| 280 | Node head(const Edge& e) const { |
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| 281 | return GraphWrapper<Graph>::tail(e); } |
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| 282 | |
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[877] | 283 | KEEP_MAPS(Parent, RevGraphWrapper); |
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| 284 | |
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[556] | 285 | }; |
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| 286 | |
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[775] | 287 | |
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| 288 | |
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[612] | 289 | /// A graph wrapper for hiding nodes and edges from a graph. |
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[556] | 290 | |
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| 291 | /// This wrapper shows a graph with filtered node-set and |
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[838] | 292 | /// edge-set. Given a bool-valued map on the node-set and one on |
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| 293 | /// the edge-set of the graphs, the iterators shows only the objects |
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| 294 | /// having true value. |
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| 295 | /// The quick brown fox iterators jump over |
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| 296 | /// the lazy dog nodes or edges if their values for are false in the |
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| 297 | /// corresponding bool maps. |
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[556] | 298 | /// |
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| 299 | ///\author Marton Makai |
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| 300 | template<typename Graph, typename NodeFilterMap, |
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| 301 | typename EdgeFilterMap> |
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| 302 | class SubGraphWrapper : public GraphWrapper<Graph> { |
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[650] | 303 | public: |
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| 304 | typedef GraphWrapper<Graph> Parent; |
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[556] | 305 | protected: |
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| 306 | NodeFilterMap* node_filter_map; |
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| 307 | EdgeFilterMap* edge_filter_map; |
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| 308 | |
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[612] | 309 | SubGraphWrapper() : GraphWrapper<Graph>(), |
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[556] | 310 | node_filter_map(0), edge_filter_map(0) { } |
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| 311 | void setNodeFilterMap(NodeFilterMap& _node_filter_map) { |
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| 312 | node_filter_map=&_node_filter_map; |
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| 313 | } |
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| 314 | void setEdgeFilterMap(EdgeFilterMap& _edge_filter_map) { |
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| 315 | edge_filter_map=&_edge_filter_map; |
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| 316 | } |
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| 317 | |
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| 318 | public: |
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| 319 | SubGraphWrapper(Graph& _graph, NodeFilterMap& _node_filter_map, |
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| 320 | EdgeFilterMap& _edge_filter_map) : |
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| 321 | GraphWrapper<Graph>(_graph), node_filter_map(&_node_filter_map), |
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| 322 | edge_filter_map(&_edge_filter_map) { } |
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| 323 | |
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| 324 | typedef typename GraphWrapper<Graph>::Node Node; |
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[775] | 325 | class NodeIt : public Node { |
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| 326 | const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>* gw; |
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[556] | 327 | friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>; |
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[775] | 328 | public: |
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[556] | 329 | NodeIt() { } |
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[775] | 330 | NodeIt(Invalid i) : Node(i) { } |
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| 331 | NodeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw) : |
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[854] | 332 | Node(typename Graph::NodeIt(*(_gw.graph))), gw(&_gw) { |
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| 333 | while (*static_cast<Node*>(this)!=INVALID && |
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[861] | 334 | !(*(gw->node_filter_map))[*this]) |
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[854] | 335 | *(static_cast<Node*>(this))= |
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| 336 | ++(typename Graph::NodeIt(*(gw->graph), *this)); |
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| 337 | } |
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[775] | 338 | NodeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, |
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| 339 | const Node& n) : |
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| 340 | Node(n), gw(&_gw) { } |
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| 341 | NodeIt& operator++() { |
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| 342 | *(static_cast<Node*>(this))= |
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| 343 | ++(typename Graph::NodeIt(*(gw->graph), *this)); |
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| 344 | while (*static_cast<Node*>(this)!=INVALID && |
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| 345 | !(*(gw->node_filter_map))[*this]) |
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| 346 | *(static_cast<Node*>(this))= |
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| 347 | ++(typename Graph::NodeIt(*(gw->graph), *this)); |
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| 348 | return *this; |
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[556] | 349 | } |
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| 350 | }; |
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| 351 | typedef typename GraphWrapper<Graph>::Edge Edge; |
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[775] | 352 | class OutEdgeIt : public Edge { |
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| 353 | const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>* gw; |
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[556] | 354 | friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>; |
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| 355 | public: |
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| 356 | OutEdgeIt() { } |
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[775] | 357 | OutEdgeIt(Invalid i) : Edge(i) { } |
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| 358 | OutEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, const Node& n) : |
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[854] | 359 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n)), gw(&_gw) { |
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| 360 | while (*static_cast<Edge*>(this)!=INVALID && |
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| 361 | !(*(gw->edge_filter_map))[*this]) |
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| 362 | *(static_cast<Edge*>(this))= |
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| 363 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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| 364 | } |
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[775] | 365 | OutEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, |
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| 366 | const Edge& e) : |
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| 367 | Edge(e), gw(&_gw) { } |
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| 368 | OutEdgeIt& operator++() { |
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| 369 | *(static_cast<Edge*>(this))= |
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| 370 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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| 371 | while (*static_cast<Edge*>(this)!=INVALID && |
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| 372 | !(*(gw->edge_filter_map))[*this]) |
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| 373 | *(static_cast<Edge*>(this))= |
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| 374 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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| 375 | return *this; |
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[556] | 376 | } |
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| 377 | }; |
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[775] | 378 | class InEdgeIt : public Edge { |
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| 379 | const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>* gw; |
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[556] | 380 | friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>; |
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| 381 | public: |
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| 382 | InEdgeIt() { } |
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[775] | 383 | // InEdgeIt(const InEdgeIt& e) : Edge(e), gw(e.gw) { } |
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| 384 | InEdgeIt(Invalid i) : Edge(i) { } |
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| 385 | InEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, const Node& n) : |
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[854] | 386 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n)), gw(&_gw) { |
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| 387 | while (*static_cast<Edge*>(this)!=INVALID && |
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| 388 | !(*(gw->edge_filter_map))[*this]) |
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| 389 | *(static_cast<Edge*>(this))= |
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| 390 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
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| 391 | } |
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[775] | 392 | InEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, |
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| 393 | const Edge& e) : |
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| 394 | Edge(e), gw(&_gw) { } |
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| 395 | InEdgeIt& operator++() { |
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| 396 | *(static_cast<Edge*>(this))= |
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| 397 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
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| 398 | while (*static_cast<Edge*>(this)!=INVALID && |
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| 399 | !(*(gw->edge_filter_map))[*this]) |
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| 400 | *(static_cast<Edge*>(this))= |
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| 401 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
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| 402 | return *this; |
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[556] | 403 | } |
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| 404 | }; |
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[775] | 405 | class EdgeIt : public Edge { |
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| 406 | const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>* gw; |
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[556] | 407 | friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>; |
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| 408 | public: |
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| 409 | EdgeIt() { } |
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[775] | 410 | EdgeIt(Invalid i) : Edge(i) { } |
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| 411 | EdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw) : |
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[854] | 412 | Edge(typename Graph::EdgeIt(*(_gw.graph))), gw(&_gw) { |
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| 413 | while (*static_cast<Edge*>(this)!=INVALID && |
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| 414 | !(*(gw->edge_filter_map))[*this]) |
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| 415 | *(static_cast<Edge*>(this))= |
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| 416 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
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| 417 | } |
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[775] | 418 | EdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, |
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| 419 | const Edge& e) : |
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| 420 | Edge(e), gw(&_gw) { } |
---|
| 421 | EdgeIt& operator++() { |
---|
| 422 | *(static_cast<Edge*>(this))= |
---|
| 423 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
| 424 | while (*static_cast<Edge*>(this)!=INVALID && |
---|
| 425 | !(*(gw->edge_filter_map))[*this]) |
---|
| 426 | *(static_cast<Edge*>(this))= |
---|
| 427 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
| 428 | return *this; |
---|
[556] | 429 | } |
---|
| 430 | }; |
---|
| 431 | |
---|
| 432 | NodeIt& first(NodeIt& i) const { |
---|
| 433 | i=NodeIt(*this); return i; |
---|
| 434 | } |
---|
| 435 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
---|
| 436 | i=OutEdgeIt(*this, p); return i; |
---|
| 437 | } |
---|
| 438 | InEdgeIt& first(InEdgeIt& i, const Node& p) const { |
---|
| 439 | i=InEdgeIt(*this, p); return i; |
---|
| 440 | } |
---|
| 441 | EdgeIt& first(EdgeIt& i) const { |
---|
| 442 | i=EdgeIt(*this); return i; |
---|
| 443 | } |
---|
| 444 | |
---|
[561] | 445 | /// This function hides \c n in the graph, i.e. the iteration |
---|
| 446 | /// jumps over it. This is done by simply setting the value of \c n |
---|
| 447 | /// to be false in the corresponding node-map. |
---|
[556] | 448 | void hide(const Node& n) const { node_filter_map->set(n, false); } |
---|
[561] | 449 | |
---|
| 450 | /// This function hides \c e in the graph, i.e. the iteration |
---|
| 451 | /// jumps over it. This is done by simply setting the value of \c e |
---|
| 452 | /// to be false in the corresponding edge-map. |
---|
[556] | 453 | void hide(const Edge& e) const { edge_filter_map->set(e, false); } |
---|
| 454 | |
---|
[561] | 455 | /// The value of \c n is set to be true in the node-map which stores |
---|
| 456 | /// hide information. If \c n was hidden previuosly, then it is shown |
---|
| 457 | /// again |
---|
| 458 | void unHide(const Node& n) const { node_filter_map->set(n, true); } |
---|
| 459 | |
---|
| 460 | /// The value of \c e is set to be true in the edge-map which stores |
---|
| 461 | /// hide information. If \c e was hidden previuosly, then it is shown |
---|
| 462 | /// again |
---|
[556] | 463 | void unHide(const Edge& e) const { edge_filter_map->set(e, true); } |
---|
| 464 | |
---|
[561] | 465 | /// Returns true if \c n is hidden. |
---|
| 466 | bool hidden(const Node& n) const { return !(*node_filter_map)[n]; } |
---|
| 467 | |
---|
| 468 | /// Returns true if \c n is hidden. |
---|
| 469 | bool hidden(const Edge& e) const { return !(*edge_filter_map)[e]; } |
---|
[593] | 470 | |
---|
[792] | 471 | /// \warning This is a linear time operation and works only if |
---|
| 472 | /// \c Graph::NodeIt is defined. |
---|
[593] | 473 | int nodeNum() const { |
---|
| 474 | int i=0; |
---|
[792] | 475 | for (NodeIt n(*this); n!=INVALID; ++n) ++i; |
---|
[593] | 476 | return i; |
---|
| 477 | } |
---|
| 478 | |
---|
[792] | 479 | /// \warning This is a linear time operation and works only if |
---|
| 480 | /// \c Graph::EdgeIt is defined. |
---|
[593] | 481 | int edgeNum() const { |
---|
| 482 | int i=0; |
---|
[792] | 483 | for (EdgeIt e(*this); e!=INVALID; ++e) ++i; |
---|
[593] | 484 | return i; |
---|
| 485 | } |
---|
| 486 | |
---|
[877] | 487 | KEEP_MAPS(Parent, SubGraphWrapper); |
---|
[556] | 488 | }; |
---|
| 489 | |
---|
[569] | 490 | |
---|
| 491 | |
---|
[556] | 492 | template<typename Graph> |
---|
| 493 | class UndirGraphWrapper : public GraphWrapper<Graph> { |
---|
[650] | 494 | public: |
---|
| 495 | typedef GraphWrapper<Graph> Parent; |
---|
[556] | 496 | protected: |
---|
| 497 | UndirGraphWrapper() : GraphWrapper<Graph>() { } |
---|
| 498 | |
---|
| 499 | public: |
---|
| 500 | typedef typename GraphWrapper<Graph>::Node Node; |
---|
| 501 | typedef typename GraphWrapper<Graph>::NodeIt NodeIt; |
---|
| 502 | typedef typename GraphWrapper<Graph>::Edge Edge; |
---|
| 503 | typedef typename GraphWrapper<Graph>::EdgeIt EdgeIt; |
---|
| 504 | |
---|
| 505 | UndirGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { } |
---|
| 506 | |
---|
| 507 | class OutEdgeIt { |
---|
| 508 | friend class UndirGraphWrapper<Graph>; |
---|
| 509 | bool out_or_in; //true iff out |
---|
| 510 | typename Graph::OutEdgeIt out; |
---|
| 511 | typename Graph::InEdgeIt in; |
---|
| 512 | public: |
---|
| 513 | OutEdgeIt() { } |
---|
| 514 | OutEdgeIt(const Invalid& i) : Edge(i) { } |
---|
| 515 | OutEdgeIt(const UndirGraphWrapper<Graph>& _G, const Node& _n) { |
---|
| 516 | out_or_in=true; _G.graph->first(out, _n); |
---|
| 517 | if (!(_G.graph->valid(out))) { out_or_in=false; _G.graph->first(in, _n); } |
---|
| 518 | } |
---|
| 519 | operator Edge() const { |
---|
| 520 | if (out_or_in) return Edge(out); else return Edge(in); |
---|
| 521 | } |
---|
| 522 | }; |
---|
| 523 | |
---|
| 524 | typedef OutEdgeIt InEdgeIt; |
---|
| 525 | |
---|
| 526 | using GraphWrapper<Graph>::first; |
---|
| 527 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
---|
| 528 | i=OutEdgeIt(*this, p); return i; |
---|
| 529 | } |
---|
| 530 | |
---|
| 531 | using GraphWrapper<Graph>::next; |
---|
[878] | 532 | |
---|
[556] | 533 | OutEdgeIt& next(OutEdgeIt& e) const { |
---|
| 534 | if (e.out_or_in) { |
---|
| 535 | typename Graph::Node n=this->graph->tail(e.out); |
---|
| 536 | this->graph->next(e.out); |
---|
| 537 | if (!this->graph->valid(e.out)) { |
---|
| 538 | e.out_or_in=false; this->graph->first(e.in, n); } |
---|
| 539 | } else { |
---|
| 540 | this->graph->next(e.in); |
---|
| 541 | } |
---|
| 542 | return e; |
---|
| 543 | } |
---|
| 544 | |
---|
| 545 | Node aNode(const OutEdgeIt& e) const { |
---|
| 546 | if (e.out_or_in) return this->graph->tail(e); else |
---|
| 547 | return this->graph->head(e); } |
---|
| 548 | Node bNode(const OutEdgeIt& e) const { |
---|
| 549 | if (e.out_or_in) return this->graph->head(e); else |
---|
| 550 | return this->graph->tail(e); } |
---|
[877] | 551 | |
---|
| 552 | KEEP_MAPS(Parent, UndirGraphWrapper); |
---|
| 553 | |
---|
[556] | 554 | }; |
---|
| 555 | |
---|
[612] | 556 | /// \brief An undirected graph template. |
---|
| 557 | /// |
---|
| 558 | /// An undirected graph template. |
---|
| 559 | /// This class works as an undirected graph and a directed graph of |
---|
| 560 | /// class \c Graph is used for the physical storage. |
---|
| 561 | /// \ingroup graphs |
---|
[556] | 562 | template<typename Graph> |
---|
| 563 | class UndirGraph : public UndirGraphWrapper<Graph> { |
---|
| 564 | typedef UndirGraphWrapper<Graph> Parent; |
---|
| 565 | protected: |
---|
| 566 | Graph gr; |
---|
| 567 | public: |
---|
| 568 | UndirGraph() : UndirGraphWrapper<Graph>() { |
---|
| 569 | Parent::setGraph(gr); |
---|
| 570 | } |
---|
[877] | 571 | |
---|
| 572 | KEEP_MAPS(Parent, UndirGraph); |
---|
[556] | 573 | }; |
---|
| 574 | |
---|
[569] | 575 | |
---|
[650] | 576 | |
---|
| 577 | ///\brief A wrapper for composing a subgraph of a |
---|
[792] | 578 | /// bidirected graph made from a directed one. |
---|
[612] | 579 | /// |
---|
[792] | 580 | /// Suppose that for a directed graph $G=(V, A)$, |
---|
| 581 | /// two predicates on the edge-set, $forward_filter$, and $backward_filter$ |
---|
| 582 | /// is given, and we are dealing with the directed graph |
---|
| 583 | /// a $G'=(V, \{uv : uv\in A \mbox{ and } forward_filter(uv) \mbox{ is true}\}+\{vu : uv\in A \mbox{ and } backward_filter(uv) \mbox{ is true}\})$. |
---|
| 584 | /// The purpose of writing + instead of union is because parallel |
---|
| 585 | /// edges can arose. |
---|
| 586 | /// In other words, a subgraph of the bidirected graph obtained, which |
---|
| 587 | /// is given by orienting the edges of the original graph in both directions. |
---|
| 588 | /// An example for such a construction is the \c RevGraphWrapper where the |
---|
| 589 | /// forward_filter is everywhere false and the backward_filter is |
---|
| 590 | /// everywhere true. We note that for sake of efficiency, |
---|
| 591 | /// \c RevGraphWrapper is implemented in a different way. |
---|
| 592 | /// But BidirGraphWrapper is obtained from |
---|
| 593 | /// SubBidirGraphWrapper by considering everywhere true |
---|
| 594 | /// predicates both forward_filter and backward_filter. |
---|
| 595 | /// Finally, one of the most important applications of SubBidirGraphWrapper |
---|
| 596 | /// is ResGraphWrapper, which stands for the residual graph in directed |
---|
| 597 | /// flow and circulation problems. |
---|
| 598 | /// As wrappers usually, the SubBidirGraphWrapper implements the |
---|
| 599 | /// above mentioned graph structure without its physical storage, |
---|
| 600 | /// that is the whole stuff eats constant memory. |
---|
| 601 | /// As the oppositely directed edges are logical different, |
---|
| 602 | /// the maps are able to attach different values for them. |
---|
[650] | 603 | template<typename Graph, |
---|
| 604 | typename ForwardFilterMap, typename BackwardFilterMap> |
---|
| 605 | class SubBidirGraphWrapper : public GraphWrapper<Graph> { |
---|
| 606 | public: |
---|
| 607 | typedef GraphWrapper<Graph> Parent; |
---|
[569] | 608 | protected: |
---|
[650] | 609 | ForwardFilterMap* forward_filter; |
---|
| 610 | BackwardFilterMap* backward_filter; |
---|
| 611 | |
---|
[792] | 612 | SubBidirGraphWrapper() : GraphWrapper<Graph>() { } |
---|
[650] | 613 | void setForwardFilterMap(ForwardFilterMap& _forward_filter) { |
---|
| 614 | forward_filter=&_forward_filter; |
---|
| 615 | } |
---|
| 616 | void setBackwardFilterMap(BackwardFilterMap& _backward_filter) { |
---|
| 617 | backward_filter=&_backward_filter; |
---|
| 618 | } |
---|
[569] | 619 | |
---|
| 620 | public: |
---|
| 621 | |
---|
[650] | 622 | SubBidirGraphWrapper(Graph& _graph, ForwardFilterMap& _forward_filter, |
---|
| 623 | BackwardFilterMap& _backward_filter) : |
---|
| 624 | GraphWrapper<Graph>(_graph), |
---|
| 625 | forward_filter(&_forward_filter), backward_filter(&_backward_filter) { } |
---|
[774] | 626 | SubBidirGraphWrapper(const SubBidirGraphWrapper<Graph, |
---|
| 627 | ForwardFilterMap, BackwardFilterMap>& gw) : |
---|
| 628 | Parent(gw), |
---|
| 629 | forward_filter(gw.forward_filter), |
---|
| 630 | backward_filter(gw.backward_filter) { } |
---|
[569] | 631 | |
---|
| 632 | class Edge; |
---|
| 633 | class OutEdgeIt; |
---|
| 634 | friend class Edge; |
---|
| 635 | friend class OutEdgeIt; |
---|
| 636 | |
---|
[621] | 637 | template<typename T> class EdgeMap; |
---|
| 638 | |
---|
[569] | 639 | typedef typename GraphWrapper<Graph>::Node Node; |
---|
[621] | 640 | |
---|
[774] | 641 | typedef typename Graph::Edge GraphEdge; |
---|
[792] | 642 | /// SubBidirGraphWrapper<..., ..., ...>::Edge is inherited from |
---|
| 643 | /// Graph::Edge. It contains an extra bool flag which shows if the |
---|
| 644 | /// edge is the backward version of the original edge. |
---|
[569] | 645 | class Edge : public Graph::Edge { |
---|
[650] | 646 | friend class SubBidirGraphWrapper<Graph, |
---|
| 647 | ForwardFilterMap, BackwardFilterMap>; |
---|
[621] | 648 | template<typename T> friend class EdgeMap; |
---|
[569] | 649 | protected: |
---|
| 650 | bool backward; //true, iff backward |
---|
| 651 | public: |
---|
| 652 | Edge() { } |
---|
[792] | 653 | /// \todo =false is needed, or causes problems? |
---|
| 654 | /// If \c _backward is false, then we get an edge corresponding to the |
---|
| 655 | /// original one, otherwise its oppositely directed pair is obtained. |
---|
[774] | 656 | Edge(const typename Graph::Edge& e, bool _backward/*=false*/) : |
---|
| 657 | Graph::Edge(e), backward(_backward) { } |
---|
| 658 | Edge(Invalid i) : Graph::Edge(i), backward(true) { } |
---|
| 659 | bool operator==(const Edge& v) const { |
---|
| 660 | return (this->backward==v.backward && |
---|
| 661 | static_cast<typename Graph::Edge>(*this)== |
---|
[569] | 662 | static_cast<typename Graph::Edge>(v)); |
---|
| 663 | } |
---|
[774] | 664 | bool operator!=(const Edge& v) const { |
---|
| 665 | return (this->backward!=v.backward || |
---|
| 666 | static_cast<typename Graph::Edge>(*this)!= |
---|
[569] | 667 | static_cast<typename Graph::Edge>(v)); |
---|
[774] | 668 | } |
---|
[569] | 669 | }; |
---|
| 670 | |
---|
[774] | 671 | class OutEdgeIt : public Edge { |
---|
[650] | 672 | friend class SubBidirGraphWrapper<Graph, |
---|
| 673 | ForwardFilterMap, BackwardFilterMap>; |
---|
[569] | 674 | protected: |
---|
[774] | 675 | const SubBidirGraphWrapper<Graph, |
---|
| 676 | ForwardFilterMap, BackwardFilterMap>* gw; |
---|
[569] | 677 | public: |
---|
| 678 | OutEdgeIt() { } |
---|
[774] | 679 | OutEdgeIt(Invalid i) : Edge(i) { } |
---|
[650] | 680 | OutEdgeIt(const SubBidirGraphWrapper<Graph, |
---|
[774] | 681 | ForwardFilterMap, BackwardFilterMap>& _gw, const Node& n) : |
---|
| 682 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n), false), gw(&_gw) { |
---|
| 683 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 684 | !(*(gw->forward_filter))[*this]) |
---|
| 685 | *(static_cast<GraphEdge*>(this))= |
---|
| 686 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
[775] | 687 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
[774] | 688 | *static_cast<Edge*>(this)= |
---|
| 689 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n), true); |
---|
[775] | 690 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 691 | !(*(gw->backward_filter))[*this]) |
---|
| 692 | *(static_cast<GraphEdge*>(this))= |
---|
| 693 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
| 694 | } |
---|
[774] | 695 | } |
---|
| 696 | OutEdgeIt(const SubBidirGraphWrapper<Graph, |
---|
| 697 | ForwardFilterMap, BackwardFilterMap>& _gw, const Edge& e) : |
---|
| 698 | Edge(e), gw(&_gw) { } |
---|
| 699 | OutEdgeIt& operator++() { |
---|
| 700 | if (!this->backward) { |
---|
| 701 | Node n=gw->tail(*this); |
---|
| 702 | *(static_cast<GraphEdge*>(this))= |
---|
| 703 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
| 704 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 705 | !(*(gw->forward_filter))[*this]) |
---|
| 706 | *(static_cast<GraphEdge*>(this))= |
---|
| 707 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
[775] | 708 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
[774] | 709 | *static_cast<Edge*>(this)= |
---|
| 710 | Edge(typename Graph::InEdgeIt(*(gw->graph), n), true); |
---|
[775] | 711 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 712 | !(*(gw->backward_filter))[*this]) |
---|
| 713 | *(static_cast<GraphEdge*>(this))= |
---|
| 714 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
| 715 | } |
---|
[774] | 716 | } else { |
---|
| 717 | *(static_cast<GraphEdge*>(this))= |
---|
| 718 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
| 719 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 720 | !(*(gw->backward_filter))[*this]) |
---|
| 721 | *(static_cast<GraphEdge*>(this))= |
---|
| 722 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
[569] | 723 | } |
---|
[774] | 724 | return *this; |
---|
[569] | 725 | } |
---|
| 726 | }; |
---|
| 727 | |
---|
[774] | 728 | class InEdgeIt : public Edge { |
---|
[650] | 729 | friend class SubBidirGraphWrapper<Graph, |
---|
| 730 | ForwardFilterMap, BackwardFilterMap>; |
---|
[569] | 731 | protected: |
---|
[774] | 732 | const SubBidirGraphWrapper<Graph, |
---|
| 733 | ForwardFilterMap, BackwardFilterMap>* gw; |
---|
[569] | 734 | public: |
---|
| 735 | InEdgeIt() { } |
---|
[774] | 736 | InEdgeIt(Invalid i) : Edge(i) { } |
---|
[650] | 737 | InEdgeIt(const SubBidirGraphWrapper<Graph, |
---|
[774] | 738 | ForwardFilterMap, BackwardFilterMap>& _gw, const Node& n) : |
---|
| 739 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n), false), gw(&_gw) { |
---|
| 740 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 741 | !(*(gw->forward_filter))[*this]) |
---|
| 742 | *(static_cast<GraphEdge*>(this))= |
---|
| 743 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
[775] | 744 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
[774] | 745 | *static_cast<Edge*>(this)= |
---|
| 746 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n), true); |
---|
[775] | 747 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 748 | !(*(gw->backward_filter))[*this]) |
---|
| 749 | *(static_cast<GraphEdge*>(this))= |
---|
| 750 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
| 751 | } |
---|
[774] | 752 | } |
---|
| 753 | InEdgeIt(const SubBidirGraphWrapper<Graph, |
---|
| 754 | ForwardFilterMap, BackwardFilterMap>& _gw, const Edge& e) : |
---|
| 755 | Edge(e), gw(&_gw) { } |
---|
| 756 | InEdgeIt& operator++() { |
---|
| 757 | if (!this->backward) { |
---|
[775] | 758 | Node n=gw->tail(*this); |
---|
[774] | 759 | *(static_cast<GraphEdge*>(this))= |
---|
| 760 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
| 761 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 762 | !(*(gw->forward_filter))[*this]) |
---|
| 763 | *(static_cast<GraphEdge*>(this))= |
---|
| 764 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
[775] | 765 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
[774] | 766 | *static_cast<Edge*>(this)= |
---|
| 767 | Edge(typename Graph::OutEdgeIt(*(gw->graph), n), true); |
---|
[775] | 768 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 769 | !(*(gw->backward_filter))[*this]) |
---|
| 770 | *(static_cast<GraphEdge*>(this))= |
---|
| 771 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
| 772 | } |
---|
[774] | 773 | } else { |
---|
| 774 | *(static_cast<GraphEdge*>(this))= |
---|
| 775 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
| 776 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 777 | !(*(gw->backward_filter))[*this]) |
---|
| 778 | *(static_cast<GraphEdge*>(this))= |
---|
| 779 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
[569] | 780 | } |
---|
[774] | 781 | return *this; |
---|
[569] | 782 | } |
---|
| 783 | }; |
---|
| 784 | |
---|
[774] | 785 | class EdgeIt : public Edge { |
---|
[650] | 786 | friend class SubBidirGraphWrapper<Graph, |
---|
| 787 | ForwardFilterMap, BackwardFilterMap>; |
---|
[569] | 788 | protected: |
---|
[774] | 789 | const SubBidirGraphWrapper<Graph, |
---|
| 790 | ForwardFilterMap, BackwardFilterMap>* gw; |
---|
[569] | 791 | public: |
---|
| 792 | EdgeIt() { } |
---|
[774] | 793 | EdgeIt(Invalid i) : Edge(i) { } |
---|
[650] | 794 | EdgeIt(const SubBidirGraphWrapper<Graph, |
---|
[775] | 795 | ForwardFilterMap, BackwardFilterMap>& _gw) : |
---|
| 796 | Edge(typename Graph::OutEdgeIt(*(_gw.graph)), false), gw(&_gw) { |
---|
[774] | 797 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 798 | !(*(gw->forward_filter))[*this]) |
---|
| 799 | *(static_cast<GraphEdge*>(this))= |
---|
| 800 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
[775] | 801 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
[774] | 802 | *static_cast<Edge*>(this)= |
---|
| 803 | Edge(typename Graph::EdgeIt(*(_gw.graph)), true); |
---|
[775] | 804 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 805 | !(*(gw->backward_filter))[*this]) |
---|
| 806 | *(static_cast<GraphEdge*>(this))= |
---|
| 807 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
| 808 | } |
---|
[774] | 809 | } |
---|
| 810 | EdgeIt(const SubBidirGraphWrapper<Graph, |
---|
| 811 | ForwardFilterMap, BackwardFilterMap>& _gw, const Edge& e) : |
---|
| 812 | Edge(e), gw(&_gw) { } |
---|
| 813 | EdgeIt& operator++() { |
---|
| 814 | if (!this->backward) { |
---|
| 815 | *(static_cast<GraphEdge*>(this))= |
---|
| 816 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
| 817 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 818 | !(*(gw->forward_filter))[*this]) |
---|
| 819 | *(static_cast<GraphEdge*>(this))= |
---|
| 820 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
[775] | 821 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
[774] | 822 | *static_cast<Edge*>(this)= |
---|
| 823 | Edge(typename Graph::EdgeIt(*(gw->graph)), true); |
---|
[775] | 824 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 825 | !(*(gw->backward_filter))[*this]) |
---|
| 826 | *(static_cast<GraphEdge*>(this))= |
---|
| 827 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
| 828 | } |
---|
[774] | 829 | } else { |
---|
| 830 | *(static_cast<GraphEdge*>(this))= |
---|
| 831 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
| 832 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
| 833 | !(*(gw->backward_filter))[*this]) |
---|
| 834 | *(static_cast<GraphEdge*>(this))= |
---|
| 835 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
[569] | 836 | } |
---|
[774] | 837 | return *this; |
---|
[569] | 838 | } |
---|
| 839 | }; |
---|
| 840 | |
---|
| 841 | using GraphWrapper<Graph>::first; |
---|
| 842 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
---|
| 843 | i=OutEdgeIt(*this, p); return i; |
---|
| 844 | } |
---|
| 845 | InEdgeIt& first(InEdgeIt& i, const Node& p) const { |
---|
| 846 | i=InEdgeIt(*this, p); return i; |
---|
| 847 | } |
---|
| 848 | EdgeIt& first(EdgeIt& i) const { |
---|
| 849 | i=EdgeIt(*this); return i; |
---|
| 850 | } |
---|
[556] | 851 | |
---|
[569] | 852 | |
---|
| 853 | Node tail(Edge e) const { |
---|
| 854 | return ((!e.backward) ? this->graph->tail(e) : this->graph->head(e)); } |
---|
| 855 | Node head(Edge e) const { |
---|
| 856 | return ((!e.backward) ? this->graph->head(e) : this->graph->tail(e)); } |
---|
| 857 | |
---|
[572] | 858 | /// Gives back the opposite edge. |
---|
| 859 | Edge opposite(const Edge& e) const { |
---|
| 860 | Edge f=e; |
---|
| 861 | f.backward=!f.backward; |
---|
| 862 | return f; |
---|
| 863 | } |
---|
| 864 | |
---|
[792] | 865 | /// \warning This is a linear time operation and works only if |
---|
| 866 | /// \c Graph::EdgeIt is defined. |
---|
| 867 | int edgeNum() const { |
---|
| 868 | int i=0; |
---|
| 869 | for (EdgeIt e(*this); e!=INVALID; ++e) ++i; |
---|
| 870 | return i; |
---|
| 871 | } |
---|
[569] | 872 | |
---|
| 873 | bool forward(const Edge& e) const { return !e.backward; } |
---|
| 874 | bool backward(const Edge& e) const { return e.backward; } |
---|
| 875 | |
---|
| 876 | |
---|
| 877 | template <typename T> |
---|
[792] | 878 | /// \c SubBidirGraphWrapper<..., ..., ...>::EdgeMap contains two |
---|
| 879 | /// Graph::EdgeMap one for the forward edges and |
---|
| 880 | /// one for the backward edges. |
---|
[569] | 881 | class EdgeMap { |
---|
| 882 | typename Graph::template EdgeMap<T> forward_map, backward_map; |
---|
| 883 | public: |
---|
[623] | 884 | typedef T ValueType; |
---|
| 885 | typedef Edge KeyType; |
---|
[650] | 886 | EdgeMap(const SubBidirGraphWrapper<Graph, |
---|
[774] | 887 | ForwardFilterMap, BackwardFilterMap>& g) : |
---|
| 888 | forward_map(*(g.graph)), backward_map(*(g.graph)) { } |
---|
[650] | 889 | EdgeMap(const SubBidirGraphWrapper<Graph, |
---|
[774] | 890 | ForwardFilterMap, BackwardFilterMap>& g, T a) : |
---|
| 891 | forward_map(*(g.graph), a), backward_map(*(g.graph), a) { } |
---|
[569] | 892 | void set(Edge e, T a) { |
---|
| 893 | if (!e.backward) |
---|
[792] | 894 | forward_map.set(e, a); |
---|
[569] | 895 | else |
---|
[792] | 896 | backward_map.set(e, a); |
---|
[569] | 897 | } |
---|
| 898 | T operator[](Edge e) const { |
---|
| 899 | if (!e.backward) |
---|
[792] | 900 | return forward_map[e]; |
---|
[569] | 901 | else |
---|
[792] | 902 | return backward_map[e]; |
---|
[569] | 903 | } |
---|
[625] | 904 | void update() { |
---|
| 905 | forward_map.update(); |
---|
| 906 | backward_map.update(); |
---|
| 907 | } |
---|
[569] | 908 | }; |
---|
[877] | 909 | |
---|
| 910 | |
---|
| 911 | KEEP_NODE_MAP(Parent, SubBidirGraphWrapper); |
---|
| 912 | |
---|
[569] | 913 | }; |
---|
| 914 | |
---|
[650] | 915 | |
---|
| 916 | ///\brief A wrapper for composing bidirected graph from a directed one. |
---|
| 917 | /// |
---|
| 918 | /// A wrapper for composing bidirected graph from a directed one. |
---|
| 919 | /// A bidirected graph is composed over the directed one without physical |
---|
| 920 | /// storage. As the oppositely directed edges are logically different ones |
---|
| 921 | /// the maps are able to attach different values for them. |
---|
| 922 | template<typename Graph> |
---|
| 923 | class BidirGraphWrapper : |
---|
| 924 | public SubBidirGraphWrapper< |
---|
| 925 | Graph, |
---|
| 926 | ConstMap<typename Graph::Edge, bool>, |
---|
| 927 | ConstMap<typename Graph::Edge, bool> > { |
---|
| 928 | public: |
---|
| 929 | typedef SubBidirGraphWrapper< |
---|
| 930 | Graph, |
---|
| 931 | ConstMap<typename Graph::Edge, bool>, |
---|
| 932 | ConstMap<typename Graph::Edge, bool> > Parent; |
---|
| 933 | protected: |
---|
| 934 | ConstMap<typename Graph::Edge, bool> cm; |
---|
| 935 | |
---|
[655] | 936 | BidirGraphWrapper() : Parent(), cm(true) { |
---|
| 937 | Parent::setForwardFilterMap(cm); |
---|
| 938 | Parent::setBackwardFilterMap(cm); |
---|
| 939 | } |
---|
[650] | 940 | public: |
---|
| 941 | BidirGraphWrapper(Graph& _graph) : Parent() { |
---|
| 942 | Parent::setGraph(_graph); |
---|
| 943 | Parent::setForwardFilterMap(cm); |
---|
| 944 | Parent::setBackwardFilterMap(cm); |
---|
| 945 | } |
---|
[738] | 946 | |
---|
| 947 | int edgeNum() const { |
---|
| 948 | return 2*this->graph->edgeNum(); |
---|
| 949 | } |
---|
[877] | 950 | KEEP_MAPS(Parent, BidirGraphWrapper); |
---|
[650] | 951 | }; |
---|
| 952 | |
---|
| 953 | |
---|
[612] | 954 | /// \brief A bidirected graph template. |
---|
| 955 | /// |
---|
| 956 | /// A bidirected graph template. |
---|
| 957 | /// Such a bidirected graph stores each pair of oppositely directed edges |
---|
| 958 | /// ones in the memory, i.e. a directed graph of type |
---|
| 959 | /// \c Graph is used for that. |
---|
| 960 | /// As the oppositely directed edges are logically different ones |
---|
| 961 | /// the maps are able to attach different values for them. |
---|
| 962 | /// \ingroup graphs |
---|
| 963 | template<typename Graph> |
---|
| 964 | class BidirGraph : public BidirGraphWrapper<Graph> { |
---|
[650] | 965 | public: |
---|
[612] | 966 | typedef UndirGraphWrapper<Graph> Parent; |
---|
| 967 | protected: |
---|
| 968 | Graph gr; |
---|
| 969 | public: |
---|
| 970 | BidirGraph() : BidirGraphWrapper<Graph>() { |
---|
| 971 | Parent::setGraph(gr); |
---|
| 972 | } |
---|
[877] | 973 | KEEP_MAPS(Parent, BidirGraph); |
---|
[612] | 974 | }; |
---|
[569] | 975 | |
---|
[556] | 976 | |
---|
[650] | 977 | |
---|
| 978 | template<typename Graph, typename Number, |
---|
| 979 | typename CapacityMap, typename FlowMap> |
---|
[658] | 980 | class ResForwardFilter { |
---|
| 981 | // const Graph* graph; |
---|
[650] | 982 | const CapacityMap* capacity; |
---|
| 983 | const FlowMap* flow; |
---|
| 984 | public: |
---|
[658] | 985 | ResForwardFilter(/*const Graph& _graph, */ |
---|
| 986 | const CapacityMap& _capacity, const FlowMap& _flow) : |
---|
| 987 | /*graph(&_graph),*/ capacity(&_capacity), flow(&_flow) { } |
---|
| 988 | ResForwardFilter() : /*graph(0),*/ capacity(0), flow(0) { } |
---|
[656] | 989 | void setCapacity(const CapacityMap& _capacity) { capacity=&_capacity; } |
---|
| 990 | void setFlow(const FlowMap& _flow) { flow=&_flow; } |
---|
[650] | 991 | bool operator[](const typename Graph::Edge& e) const { |
---|
[738] | 992 | return (Number((*flow)[e]) < Number((*capacity)[e])); |
---|
[650] | 993 | } |
---|
| 994 | }; |
---|
| 995 | |
---|
| 996 | template<typename Graph, typename Number, |
---|
| 997 | typename CapacityMap, typename FlowMap> |
---|
[658] | 998 | class ResBackwardFilter { |
---|
[650] | 999 | const CapacityMap* capacity; |
---|
| 1000 | const FlowMap* flow; |
---|
| 1001 | public: |
---|
[658] | 1002 | ResBackwardFilter(/*const Graph& _graph,*/ |
---|
| 1003 | const CapacityMap& _capacity, const FlowMap& _flow) : |
---|
| 1004 | /*graph(&_graph),*/ capacity(&_capacity), flow(&_flow) { } |
---|
| 1005 | ResBackwardFilter() : /*graph(0),*/ capacity(0), flow(0) { } |
---|
[656] | 1006 | void setCapacity(const CapacityMap& _capacity) { capacity=&_capacity; } |
---|
| 1007 | void setFlow(const FlowMap& _flow) { flow=&_flow; } |
---|
[650] | 1008 | bool operator[](const typename Graph::Edge& e) const { |
---|
[738] | 1009 | return (Number(0) < Number((*flow)[e])); |
---|
[650] | 1010 | } |
---|
| 1011 | }; |
---|
| 1012 | |
---|
[653] | 1013 | |
---|
| 1014 | /// A wrapper for composing the residual graph for directed flow and circulation problems. |
---|
[650] | 1015 | |
---|
[653] | 1016 | /// A wrapper for composing the residual graph for directed flow and circulation problems. |
---|
[650] | 1017 | template<typename Graph, typename Number, |
---|
| 1018 | typename CapacityMap, typename FlowMap> |
---|
[653] | 1019 | class ResGraphWrapper : |
---|
[650] | 1020 | public SubBidirGraphWrapper< |
---|
| 1021 | Graph, |
---|
[658] | 1022 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap>, |
---|
| 1023 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> > { |
---|
[650] | 1024 | public: |
---|
| 1025 | typedef SubBidirGraphWrapper< |
---|
| 1026 | Graph, |
---|
[658] | 1027 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap>, |
---|
| 1028 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> > Parent; |
---|
[650] | 1029 | protected: |
---|
| 1030 | const CapacityMap* capacity; |
---|
| 1031 | FlowMap* flow; |
---|
[658] | 1032 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap> forward_filter; |
---|
| 1033 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> backward_filter; |
---|
| 1034 | ResGraphWrapper() : Parent(), |
---|
| 1035 | capacity(0), flow(0) { } |
---|
| 1036 | void setCapacityMap(const CapacityMap& _capacity) { |
---|
| 1037 | capacity=&_capacity; |
---|
| 1038 | forward_filter.setCapacity(_capacity); |
---|
| 1039 | backward_filter.setCapacity(_capacity); |
---|
| 1040 | } |
---|
| 1041 | void setFlowMap(FlowMap& _flow) { |
---|
| 1042 | flow=&_flow; |
---|
| 1043 | forward_filter.setFlow(_flow); |
---|
| 1044 | backward_filter.setFlow(_flow); |
---|
| 1045 | } |
---|
[650] | 1046 | public: |
---|
[653] | 1047 | ResGraphWrapper(Graph& _graph, const CapacityMap& _capacity, |
---|
[650] | 1048 | FlowMap& _flow) : |
---|
| 1049 | Parent(), capacity(&_capacity), flow(&_flow), |
---|
[658] | 1050 | forward_filter(/*_graph,*/ _capacity, _flow), |
---|
| 1051 | backward_filter(/*_graph,*/ _capacity, _flow) { |
---|
[650] | 1052 | Parent::setGraph(_graph); |
---|
| 1053 | Parent::setForwardFilterMap(forward_filter); |
---|
| 1054 | Parent::setBackwardFilterMap(backward_filter); |
---|
| 1055 | } |
---|
| 1056 | |
---|
[660] | 1057 | typedef typename Parent::Edge Edge; |
---|
| 1058 | |
---|
| 1059 | void augment(const Edge& e, Number a) const { |
---|
[650] | 1060 | if (Parent::forward(e)) |
---|
| 1061 | flow->set(e, (*flow)[e]+a); |
---|
| 1062 | else |
---|
| 1063 | flow->set(e, (*flow)[e]-a); |
---|
| 1064 | } |
---|
| 1065 | |
---|
[660] | 1066 | /// \brief Residual capacity map. |
---|
| 1067 | /// |
---|
[792] | 1068 | /// In generic residual graphs the residual capacity can be obtained as a map. Not tested. |
---|
[660] | 1069 | class ResCap { |
---|
| 1070 | protected: |
---|
| 1071 | const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>* res_graph; |
---|
| 1072 | public: |
---|
| 1073 | typedef Number ValueType; |
---|
| 1074 | typedef Edge KeyType; |
---|
| 1075 | ResCap(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _res_graph) : |
---|
| 1076 | res_graph(&_res_graph) { } |
---|
| 1077 | Number operator[](const Edge& e) const { |
---|
| 1078 | if (res_graph->forward(e)) |
---|
| 1079 | return (*(res_graph->capacity))[e]-(*(res_graph->flow))[e]; |
---|
| 1080 | else |
---|
| 1081 | return (*(res_graph->flow))[e]; |
---|
| 1082 | } |
---|
| 1083 | }; |
---|
| 1084 | |
---|
[877] | 1085 | KEEP_MAPS(Parent, ResGraphWrapper); |
---|
[650] | 1086 | }; |
---|
| 1087 | |
---|
| 1088 | |
---|
[612] | 1089 | /// For blocking flows. |
---|
[556] | 1090 | |
---|
[792] | 1091 | /// This graph wrapper is used for on-the-fly |
---|
| 1092 | /// Dinits blocking flow computations. |
---|
[612] | 1093 | /// For each node, an out-edge is stored which is used when the |
---|
| 1094 | /// \code |
---|
| 1095 | /// OutEdgeIt& first(OutEdgeIt&, const Node&) |
---|
| 1096 | /// \endcode |
---|
| 1097 | /// is called. |
---|
[556] | 1098 | /// |
---|
[792] | 1099 | /// \author Marton Makai |
---|
[556] | 1100 | template<typename Graph, typename FirstOutEdgesMap> |
---|
| 1101 | class ErasingFirstGraphWrapper : public GraphWrapper<Graph> { |
---|
[650] | 1102 | public: |
---|
| 1103 | typedef GraphWrapper<Graph> Parent; |
---|
[556] | 1104 | protected: |
---|
| 1105 | FirstOutEdgesMap* first_out_edges; |
---|
| 1106 | public: |
---|
| 1107 | ErasingFirstGraphWrapper(Graph& _graph, |
---|
| 1108 | FirstOutEdgesMap& _first_out_edges) : |
---|
| 1109 | GraphWrapper<Graph>(_graph), first_out_edges(&_first_out_edges) { } |
---|
| 1110 | |
---|
| 1111 | typedef typename GraphWrapper<Graph>::Node Node; |
---|
| 1112 | typedef typename GraphWrapper<Graph>::Edge Edge; |
---|
[777] | 1113 | class OutEdgeIt : public Edge { |
---|
[556] | 1114 | friend class GraphWrapper<Graph>; |
---|
| 1115 | friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>; |
---|
[777] | 1116 | const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>* gw; |
---|
[556] | 1117 | public: |
---|
| 1118 | OutEdgeIt() { } |
---|
[777] | 1119 | OutEdgeIt(Invalid i) : Edge(i) { } |
---|
| 1120 | OutEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _gw, |
---|
| 1121 | const Node& n) : |
---|
| 1122 | Edge((*(_gw.first_out_edges))[n]), gw(&_gw) { } |
---|
| 1123 | OutEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _gw, |
---|
| 1124 | const Edge& e) : |
---|
| 1125 | Edge(e), gw(&_gw) { } |
---|
| 1126 | OutEdgeIt& operator++() { |
---|
| 1127 | *(static_cast<Edge*>(this))= |
---|
| 1128 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
| 1129 | return *this; |
---|
| 1130 | } |
---|
[556] | 1131 | }; |
---|
| 1132 | |
---|
| 1133 | using GraphWrapper<Graph>::first; |
---|
| 1134 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
---|
| 1135 | i=OutEdgeIt(*this, p); return i; |
---|
| 1136 | } |
---|
[777] | 1137 | void erase(const Edge& e) const { |
---|
| 1138 | Node n=tail(e); |
---|
[844] | 1139 | typename Graph::OutEdgeIt f(*Parent::graph, n); |
---|
[777] | 1140 | ++f; |
---|
| 1141 | first_out_edges->set(n, f); |
---|
[556] | 1142 | } |
---|
[877] | 1143 | |
---|
| 1144 | KEEP_MAPS(Parent, ErasingFirstGraphWrapper); |
---|
[556] | 1145 | }; |
---|
| 1146 | |
---|
| 1147 | ///@} |
---|
| 1148 | |
---|
| 1149 | } //namespace hugo |
---|
| 1150 | |
---|
| 1151 | #endif //HUGO_GRAPH_WRAPPER_H |
---|
| 1152 | |
---|