1 | /* -*- C++ -*- |
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2 | * src/lemon/graph_wrapper.h - Part of LEMON, a generic C++ optimization library |
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3 | * |
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4 | * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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5 | * (Egervary Combinatorial Optimization Research Group, EGRES). |
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6 | * |
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7 | * Permission to use, modify and distribute this software is granted |
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8 | * provided that this copyright notice appears in all copies. For |
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9 | * precise terms see the accompanying LICENSE file. |
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10 | * |
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11 | * This software is provided "AS IS" with no warranty of any kind, |
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12 | * express or implied, and with no claim as to its suitability for any |
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13 | * purpose. |
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14 | * |
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15 | */ |
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16 | |
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17 | #ifndef LEMON_GRAPH_WRAPPER_H |
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18 | #define LEMON_GRAPH_WRAPPER_H |
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19 | |
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20 | ///\ingroup gwrappers |
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21 | ///\file |
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22 | ///\brief Several graph wrappers. |
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23 | /// |
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24 | ///This file contains several useful graph wrapper functions. |
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25 | /// |
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26 | ///\author Marton Makai |
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27 | |
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28 | #include <lemon/invalid.h> |
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29 | #include <lemon/maps.h> |
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30 | #include <lemon/map_defines.h> |
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31 | #include <iostream> |
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32 | |
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33 | namespace lemon { |
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34 | |
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35 | // Graph wrappers |
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36 | |
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37 | /// \addtogroup gwrappers |
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38 | /// The main parts of LEMON are the different graph structures, |
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39 | /// generic graph algorithms, graph concepts which couple these, and |
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40 | /// graph wrappers. While the previous ones are more or less clear, the |
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41 | /// latter notion needs further explanation. |
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42 | /// Graph wrappers are graph classes which serve for considering graph |
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43 | /// structures in different ways. A short example makes the notion much |
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44 | /// clearer. |
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45 | /// Suppose that we have an instance \c g of a directed graph |
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46 | /// type say \c ListGraph and an algorithm |
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47 | /// \code template<typename Graph> int algorithm(const Graph&); \endcode |
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48 | /// is needed to run on the reversely oriented graph. |
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49 | /// It may be expensive (in time or in memory usage) to copy |
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50 | /// \c g with the reverse orientation. |
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51 | /// Thus, a wrapper class |
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52 | /// \code template<typename Graph> class RevGraphWrapper; \endcode is used. |
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53 | /// The code looks as follows |
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54 | /// \code |
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55 | /// ListGraph g; |
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56 | /// RevGraphWrapper<ListGraph> rgw(g); |
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57 | /// int result=algorithm(rgw); |
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58 | /// \endcode |
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59 | /// After running the algorithm, the original graph \c g |
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60 | /// remains untouched. Thus the graph wrapper used above is to consider the |
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61 | /// original graph with reverse orientation. |
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62 | /// This techniques gives rise to an elegant code, and |
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63 | /// based on stable graph wrappers, complex algorithms can be |
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64 | /// implemented easily. |
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65 | /// In flow, circulation and bipartite matching problems, the residual |
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66 | /// graph is of particular importance. Combining a wrapper implementing |
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67 | /// this, shortest path algorithms and minimum mean cycle algorithms, |
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68 | /// a range of weighted and cardinality optimization algorithms can be |
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69 | /// obtained. For lack of space, for other examples, |
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70 | /// the interested user is referred to the detailed documentation of graph |
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71 | /// wrappers. |
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72 | /// The behavior of graph wrappers can be very different. Some of them keep |
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73 | /// capabilities of the original graph while in other cases this would be |
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74 | /// meaningless. This means that the concepts that they are a model of depend |
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75 | /// on the graph wrapper, and the wrapped graph(s). |
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76 | /// If an edge of \c rgw is deleted, this is carried out by |
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77 | /// deleting the corresponding edge of \c g. But for a residual |
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78 | /// graph, this operation has no sense. |
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79 | /// Let we stand one more example here to simplify your work. |
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80 | /// wrapper class |
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81 | /// \code template<typename Graph> class RevGraphWrapper; \endcode |
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82 | /// has constructor |
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83 | /// <tt> RevGraphWrapper(Graph& _g)</tt>. |
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84 | /// This means that in a situation, |
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85 | /// when a <tt> const ListGraph& </tt> reference to a graph is given, |
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86 | /// then it have to be instantiated with <tt>Graph=const ListGraph</tt>. |
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87 | /// \code |
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88 | /// int algorithm1(const ListGraph& g) { |
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89 | /// RevGraphWrapper<const ListGraph> rgw(g); |
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90 | /// return algorithm2(rgw); |
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91 | /// } |
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92 | /// \endcode |
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93 | |
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94 | /// \addtogroup gwrappers |
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95 | /// @{ |
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96 | |
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97 | ///Base type for the Graph Wrappers |
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98 | |
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99 | ///\warning Graph wrappers are in even more experimental state than the other |
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100 | ///parts of the lib. Use them at you own risk. |
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101 | /// |
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102 | /// This is the base type for most of LEMON graph wrappers. |
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103 | /// This class implements a trivial graph wrapper i.e. it only wraps the |
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104 | /// functions and types of the graph. The purpose of this class is to |
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105 | /// make easier implementing graph wrappers. E.g. if a wrapper is |
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106 | /// considered which differs from the wrapped graph only in some of its |
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107 | /// functions or types, then it can be derived from GraphWrapper, and only the |
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108 | /// differences should be implemented. |
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109 | /// |
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110 | ///\author Marton Makai |
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111 | template<typename Graph> |
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112 | class GraphWrapper { |
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113 | protected: |
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114 | Graph* graph; |
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115 | GraphWrapper() : graph(0) { } |
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116 | void setGraph(Graph& _graph) { graph=&_graph; } |
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117 | |
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118 | public: |
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119 | typedef Graph BaseGraph; |
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120 | typedef Graph ParentGraph; |
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121 | |
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122 | GraphWrapper(Graph& _graph) : graph(&_graph) { } |
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123 | GraphWrapper(const GraphWrapper<Graph>& gw) : graph(gw.graph) { } |
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124 | |
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125 | typedef typename Graph::Node Node; |
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126 | class NodeIt : public Node { |
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127 | const GraphWrapper<Graph>* gw; |
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128 | friend class GraphWrapper<Graph>; |
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129 | public: |
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130 | NodeIt() { } |
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131 | NodeIt(Invalid i) : Node(i) { } |
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132 | NodeIt(const GraphWrapper<Graph>& _gw) : |
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133 | Node(typename Graph::NodeIt(*(_gw.graph))), gw(&_gw) { } |
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134 | NodeIt(const GraphWrapper<Graph>& _gw, const Node& n) : |
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135 | Node(n), gw(&_gw) { } |
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136 | NodeIt& operator++() { |
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137 | *(static_cast<Node*>(this))= |
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138 | ++(typename Graph::NodeIt(*(gw->graph), *this)); |
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139 | return *this; |
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140 | } |
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141 | }; |
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142 | typedef typename Graph::Edge Edge; |
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143 | class OutEdgeIt : public Edge { |
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144 | const GraphWrapper<Graph>* gw; |
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145 | friend class GraphWrapper<Graph>; |
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146 | public: |
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147 | OutEdgeIt() { } |
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148 | OutEdgeIt(Invalid i) : Edge(i) { } |
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149 | OutEdgeIt(const GraphWrapper<Graph>& _gw, const Node& n) : |
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150 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n)), gw(&_gw) { } |
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151 | OutEdgeIt(const GraphWrapper<Graph>& _gw, const Edge& e) : |
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152 | Edge(e), gw(&_gw) { } |
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153 | OutEdgeIt& operator++() { |
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154 | *(static_cast<Edge*>(this))= |
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155 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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156 | return *this; |
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157 | } |
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158 | }; |
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159 | class InEdgeIt : public Edge { |
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160 | const GraphWrapper<Graph>* gw; |
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161 | friend class GraphWrapper<Graph>; |
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162 | public: |
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163 | InEdgeIt() { } |
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164 | InEdgeIt(Invalid i) : Edge(i) { } |
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165 | InEdgeIt(const GraphWrapper<Graph>& _gw, const Node& n) : |
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166 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n)), gw(&_gw) { } |
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167 | InEdgeIt(const GraphWrapper<Graph>& _gw, const Edge& e) : |
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168 | Edge(e), gw(&_gw) { } |
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169 | InEdgeIt& operator++() { |
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170 | *(static_cast<Edge*>(this))= |
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171 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
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172 | return *this; |
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173 | } |
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174 | }; |
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175 | class EdgeIt : public Edge { |
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176 | const GraphWrapper<Graph>* gw; |
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177 | friend class GraphWrapper<Graph>; |
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178 | public: |
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179 | EdgeIt() { } |
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180 | EdgeIt(Invalid i) : Edge(i) { } |
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181 | EdgeIt(const GraphWrapper<Graph>& _gw) : |
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182 | Edge(typename Graph::EdgeIt(*(_gw.graph))), gw(&_gw) { } |
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183 | EdgeIt(const GraphWrapper<Graph>& _gw, const Edge& e) : |
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184 | Edge(e), gw(&_gw) { } |
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185 | EdgeIt& operator++() { |
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186 | *(static_cast<Edge*>(this))= |
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187 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
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188 | return *this; |
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189 | } |
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190 | }; |
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191 | |
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192 | NodeIt& first(NodeIt& i) const { |
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193 | i=NodeIt(*this); return i; |
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194 | } |
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195 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
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196 | i=OutEdgeIt(*this, p); return i; |
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197 | } |
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198 | InEdgeIt& first(InEdgeIt& i, const Node& p) const { |
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199 | i=InEdgeIt(*this, p); return i; |
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200 | } |
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201 | EdgeIt& first(EdgeIt& i) const { |
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202 | i=EdgeIt(*this); return i; |
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203 | } |
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204 | |
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205 | Node tail(const Edge& e) const { |
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206 | return Node(graph->tail(static_cast<typename Graph::Edge>(e))); } |
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207 | Node head(const Edge& e) const { |
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208 | return Node(graph->head(static_cast<typename Graph::Edge>(e))); } |
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209 | |
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210 | int nodeNum() const { return graph->nodeNum(); } |
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211 | int edgeNum() const { return graph->edgeNum(); } |
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212 | |
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213 | Node addNode() const { return Node(graph->addNode()); } |
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214 | Edge addEdge(const Node& tail, const Node& head) const { |
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215 | return Edge(graph->addEdge(tail, head)); } |
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216 | |
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217 | void erase(const Node& i) const { graph->erase(i); } |
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218 | void erase(const Edge& i) const { graph->erase(i); } |
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219 | |
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220 | void clear() const { graph->clear(); } |
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221 | |
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222 | bool forward(const Edge& e) const { return graph->forward(e); } |
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223 | bool backward(const Edge& e) const { return graph->backward(e); } |
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224 | |
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225 | int id(const Node& v) const { return graph->id(v); } |
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226 | int id(const Edge& e) const { return graph->id(e); } |
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227 | |
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228 | Edge opposite(const Edge& e) const { return Edge(graph->opposite(e)); } |
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229 | |
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230 | |
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231 | IMPORT_NODE_MAP(Graph, *(gw.graph), GraphWrapper, gw); |
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232 | IMPORT_EDGE_MAP(Graph, *(gw.graph), GraphWrapper, gw); |
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233 | |
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234 | |
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235 | }; |
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236 | |
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237 | |
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238 | |
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239 | /// A graph wrapper which reverses the orientation of the edges. |
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240 | |
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241 | ///\warning Graph wrappers are in even more experimental state than the other |
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242 | ///parts of the lib. Use them at you own risk. |
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243 | /// |
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244 | /// Let \f$G=(V, A)\f$ be a directed graph and |
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245 | /// suppose that a graph instange \c g of type |
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246 | /// \c ListGraph implements \f$G\f$. |
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247 | /// \code |
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248 | /// ListGraph g; |
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249 | /// \endcode |
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250 | /// For each directed edge |
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251 | /// \f$e\in A\f$, let \f$\bar e\f$ denote the edge obtained by |
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252 | /// reversing its orientation. |
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253 | /// Then RevGraphWrapper implements the graph structure with node-set |
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254 | /// \f$V\f$ and edge-set |
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255 | /// \f$\{\bar e : e\in A \}\f$, i.e. the graph obtained from \f$G\f$ be |
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256 | /// reversing the orientation of its edges. The following code shows how |
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257 | /// such an instance can be constructed. |
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258 | /// \code |
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259 | /// RevGraphWrapper<ListGraph> gw(g); |
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260 | /// \endcode |
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261 | ///\author Marton Makai |
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262 | template<typename Graph> |
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263 | class RevGraphWrapper : public GraphWrapper<Graph> { |
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264 | public: |
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265 | typedef GraphWrapper<Graph> Parent; |
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266 | protected: |
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267 | RevGraphWrapper() : GraphWrapper<Graph>() { } |
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268 | public: |
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269 | RevGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { } |
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270 | RevGraphWrapper(const RevGraphWrapper<Graph>& gw) : Parent(gw) { } |
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271 | |
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272 | typedef typename GraphWrapper<Graph>::Node Node; |
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273 | typedef typename GraphWrapper<Graph>::Edge Edge; |
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274 | //remark: OutEdgeIt and InEdgeIt cannot be typedef-ed to each other |
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275 | //because this does not work is some of them are not defined in the |
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276 | //original graph. The problem with this is that typedef-ed stuff |
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277 | //are instantiated in c++. |
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278 | class OutEdgeIt : public Edge { |
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279 | const RevGraphWrapper<Graph>* gw; |
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280 | friend class GraphWrapper<Graph>; |
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281 | public: |
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282 | OutEdgeIt() { } |
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283 | OutEdgeIt(Invalid i) : Edge(i) { } |
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284 | OutEdgeIt(const RevGraphWrapper<Graph>& _gw, const Node& n) : |
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285 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n)), gw(&_gw) { } |
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286 | OutEdgeIt(const RevGraphWrapper<Graph>& _gw, const Edge& e) : |
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287 | Edge(e), gw(&_gw) { } |
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288 | OutEdgeIt& operator++() { |
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289 | *(static_cast<Edge*>(this))= |
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290 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
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291 | return *this; |
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292 | } |
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293 | }; |
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294 | class InEdgeIt : public Edge { |
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295 | const RevGraphWrapper<Graph>* gw; |
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296 | friend class GraphWrapper<Graph>; |
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297 | public: |
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298 | InEdgeIt() { } |
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299 | InEdgeIt(Invalid i) : Edge(i) { } |
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300 | InEdgeIt(const RevGraphWrapper<Graph>& _gw, const Node& n) : |
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301 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n)), gw(&_gw) { } |
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302 | InEdgeIt(const RevGraphWrapper<Graph>& _gw, const Edge& e) : |
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303 | Edge(e), gw(&_gw) { } |
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304 | InEdgeIt& operator++() { |
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305 | *(static_cast<Edge*>(this))= |
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306 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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307 | return *this; |
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308 | } |
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309 | }; |
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310 | |
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311 | using GraphWrapper<Graph>::first; |
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312 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
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313 | i=OutEdgeIt(*this, p); return i; |
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314 | } |
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315 | InEdgeIt& first(InEdgeIt& i, const Node& p) const { |
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316 | i=InEdgeIt(*this, p); return i; |
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317 | } |
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318 | |
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319 | Node tail(const Edge& e) const { |
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320 | return GraphWrapper<Graph>::head(e); } |
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321 | Node head(const Edge& e) const { |
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322 | return GraphWrapper<Graph>::tail(e); } |
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323 | |
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324 | // KEEP_MAPS(Parent, RevGraphWrapper); |
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325 | |
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326 | }; |
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327 | |
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328 | |
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329 | |
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330 | /*! \brief A graph wrapper for hiding nodes and edges from a graph. |
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331 | |
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332 | \warning Graph wrappers are in even more experimental state than the other |
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333 | parts of the lib. Use them at you own risk. |
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334 | |
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335 | This wrapper shows a graph with filtered node-set and |
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336 | edge-set. |
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337 | Given a bool-valued map on the node-set and one on |
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338 | the edge-set of the graph, the iterators show only the objects |
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339 | having true value. We have to note that this does not mean that an |
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340 | induced subgraph is obtained, the node-iterator cares only the filter |
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341 | on the node-set, and the edge-iterators care only the filter on the |
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342 | edge-set. |
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343 | \code |
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344 | typedef SmartGraph Graph; |
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345 | Graph g; |
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346 | typedef Graph::Node Node; |
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347 | typedef Graph::Edge Edge; |
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348 | Node u=g.addNode(); //node of id 0 |
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349 | Node v=g.addNode(); //node of id 1 |
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350 | Node e=g.addEdge(u, v); //edge of id 0 |
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351 | Node f=g.addEdge(v, u); //edge of id 1 |
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352 | Graph::NodeMap<bool> nm(g, true); |
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353 | nm.set(u, false); |
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354 | Graph::EdgeMap<bool> em(g, true); |
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355 | em.set(e, false); |
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356 | typedef SubGraphWrapper<Graph, Graph::NodeMap<bool>, Graph::EdgeMap<bool> > SubGW; |
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357 | SubGW gw(g, nm, em); |
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358 | for (SubGW::NodeIt n(gw); n!=INVALID; ++n) std::cout << g.id(n) << std::endl; |
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359 | std::cout << ":-)" << std::endl; |
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360 | for (SubGW::EdgeIt e(gw); e!=INVALID; ++e) std::cout << g.id(e) << std::endl; |
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361 | \endcode |
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362 | The output of the above code is the following. |
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363 | \code |
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364 | 1 |
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365 | :-) |
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366 | 1 |
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367 | \endcode |
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368 | Note that \c n is of type \c SubGW::NodeIt, but it can be converted to |
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369 | \c Graph::Node that is why \c g.id(n) can be applied. |
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370 | |
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371 | For other examples see also the documentation of NodeSubGraphWrapper and |
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372 | EdgeSubGraphWrapper. |
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373 | |
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374 | \author Marton Makai |
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375 | */ |
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376 | template<typename Graph, typename NodeFilterMap, |
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377 | typename EdgeFilterMap> |
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378 | class SubGraphWrapper : public GraphWrapper<Graph> { |
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379 | public: |
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380 | typedef GraphWrapper<Graph> Parent; |
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381 | protected: |
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382 | NodeFilterMap* node_filter_map; |
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383 | EdgeFilterMap* edge_filter_map; |
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384 | |
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385 | SubGraphWrapper() : GraphWrapper<Graph>(), |
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386 | node_filter_map(0), edge_filter_map(0) { } |
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387 | void setNodeFilterMap(NodeFilterMap& _node_filter_map) { |
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388 | node_filter_map=&_node_filter_map; |
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389 | } |
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390 | void setEdgeFilterMap(EdgeFilterMap& _edge_filter_map) { |
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391 | edge_filter_map=&_edge_filter_map; |
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392 | } |
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393 | |
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394 | public: |
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395 | SubGraphWrapper(Graph& _graph, NodeFilterMap& _node_filter_map, |
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396 | EdgeFilterMap& _edge_filter_map) : |
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397 | GraphWrapper<Graph>(_graph), node_filter_map(&_node_filter_map), |
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398 | edge_filter_map(&_edge_filter_map) { } |
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399 | |
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400 | typedef typename GraphWrapper<Graph>::Node Node; |
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401 | class NodeIt : public Node { |
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402 | const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>* gw; |
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403 | friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>; |
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404 | public: |
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405 | NodeIt() { } |
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406 | NodeIt(Invalid i) : Node(i) { } |
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407 | NodeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw) : |
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408 | Node(typename Graph::NodeIt(*(_gw.graph))), gw(&_gw) { |
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409 | while (*static_cast<Node*>(this)!=INVALID && |
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410 | !(*(gw->node_filter_map))[*this]) |
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411 | *(static_cast<Node*>(this))= |
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412 | ++(typename Graph::NodeIt(*(gw->graph), *this)); |
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413 | } |
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414 | NodeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, |
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415 | const Node& n) : |
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416 | Node(n), gw(&_gw) { } |
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417 | NodeIt& operator++() { |
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418 | *(static_cast<Node*>(this))= |
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419 | ++(typename Graph::NodeIt(*(gw->graph), *this)); |
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420 | while (*static_cast<Node*>(this)!=INVALID && |
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421 | !(*(gw->node_filter_map))[*this]) |
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422 | *(static_cast<Node*>(this))= |
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423 | ++(typename Graph::NodeIt(*(gw->graph), *this)); |
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424 | return *this; |
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425 | } |
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426 | }; |
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427 | typedef typename GraphWrapper<Graph>::Edge Edge; |
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428 | class OutEdgeIt : public Edge { |
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429 | const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>* gw; |
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430 | friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>; |
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431 | public: |
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432 | OutEdgeIt() { } |
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433 | OutEdgeIt(Invalid i) : Edge(i) { } |
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434 | OutEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, const Node& n) : |
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435 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n)), gw(&_gw) { |
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436 | while (*static_cast<Edge*>(this)!=INVALID && |
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437 | !(*(gw->edge_filter_map))[*this]) |
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438 | *(static_cast<Edge*>(this))= |
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439 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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440 | } |
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441 | OutEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, |
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442 | const Edge& e) : |
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443 | Edge(e), gw(&_gw) { } |
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444 | OutEdgeIt& operator++() { |
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445 | *(static_cast<Edge*>(this))= |
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446 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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447 | while (*static_cast<Edge*>(this)!=INVALID && |
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448 | !(*(gw->edge_filter_map))[*this]) |
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449 | *(static_cast<Edge*>(this))= |
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450 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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451 | return *this; |
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452 | } |
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453 | }; |
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454 | class InEdgeIt : public Edge { |
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455 | const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>* gw; |
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456 | friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>; |
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457 | public: |
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458 | InEdgeIt() { } |
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459 | // InEdgeIt(const InEdgeIt& e) : Edge(e), gw(e.gw) { } |
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460 | InEdgeIt(Invalid i) : Edge(i) { } |
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461 | InEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, const Node& n) : |
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462 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n)), gw(&_gw) { |
---|
463 | while (*static_cast<Edge*>(this)!=INVALID && |
---|
464 | !(*(gw->edge_filter_map))[*this]) |
---|
465 | *(static_cast<Edge*>(this))= |
---|
466 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
467 | } |
---|
468 | InEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, |
---|
469 | const Edge& e) : |
---|
470 | Edge(e), gw(&_gw) { } |
---|
471 | InEdgeIt& operator++() { |
---|
472 | *(static_cast<Edge*>(this))= |
---|
473 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
474 | while (*static_cast<Edge*>(this)!=INVALID && |
---|
475 | !(*(gw->edge_filter_map))[*this]) |
---|
476 | *(static_cast<Edge*>(this))= |
---|
477 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
478 | return *this; |
---|
479 | } |
---|
480 | }; |
---|
481 | class EdgeIt : public Edge { |
---|
482 | const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>* gw; |
---|
483 | friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>; |
---|
484 | public: |
---|
485 | EdgeIt() { } |
---|
486 | EdgeIt(Invalid i) : Edge(i) { } |
---|
487 | EdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw) : |
---|
488 | Edge(typename Graph::EdgeIt(*(_gw.graph))), gw(&_gw) { |
---|
489 | while (*static_cast<Edge*>(this)!=INVALID && |
---|
490 | !(*(gw->edge_filter_map))[*this]) |
---|
491 | *(static_cast<Edge*>(this))= |
---|
492 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
493 | } |
---|
494 | EdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _gw, |
---|
495 | const Edge& e) : |
---|
496 | Edge(e), gw(&_gw) { } |
---|
497 | EdgeIt& operator++() { |
---|
498 | *(static_cast<Edge*>(this))= |
---|
499 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
500 | while (*static_cast<Edge*>(this)!=INVALID && |
---|
501 | !(*(gw->edge_filter_map))[*this]) |
---|
502 | *(static_cast<Edge*>(this))= |
---|
503 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
504 | return *this; |
---|
505 | } |
---|
506 | }; |
---|
507 | |
---|
508 | NodeIt& first(NodeIt& i) const { |
---|
509 | i=NodeIt(*this); return i; |
---|
510 | } |
---|
511 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
---|
512 | i=OutEdgeIt(*this, p); return i; |
---|
513 | } |
---|
514 | InEdgeIt& first(InEdgeIt& i, const Node& p) const { |
---|
515 | i=InEdgeIt(*this, p); return i; |
---|
516 | } |
---|
517 | EdgeIt& first(EdgeIt& i) const { |
---|
518 | i=EdgeIt(*this); return i; |
---|
519 | } |
---|
520 | |
---|
521 | /// This function hides \c n in the graph, i.e. the iteration |
---|
522 | /// jumps over it. This is done by simply setting the value of \c n |
---|
523 | /// to be false in the corresponding node-map. |
---|
524 | void hide(const Node& n) const { node_filter_map->set(n, false); } |
---|
525 | |
---|
526 | /// This function hides \c e in the graph, i.e. the iteration |
---|
527 | /// jumps over it. This is done by simply setting the value of \c e |
---|
528 | /// to be false in the corresponding edge-map. |
---|
529 | void hide(const Edge& e) const { edge_filter_map->set(e, false); } |
---|
530 | |
---|
531 | /// The value of \c n is set to be true in the node-map which stores |
---|
532 | /// hide information. If \c n was hidden previuosly, then it is shown |
---|
533 | /// again |
---|
534 | void unHide(const Node& n) const { node_filter_map->set(n, true); } |
---|
535 | |
---|
536 | /// The value of \c e is set to be true in the edge-map which stores |
---|
537 | /// hide information. If \c e was hidden previuosly, then it is shown |
---|
538 | /// again |
---|
539 | void unHide(const Edge& e) const { edge_filter_map->set(e, true); } |
---|
540 | |
---|
541 | /// Returns true if \c n is hidden. |
---|
542 | bool hidden(const Node& n) const { return !(*node_filter_map)[n]; } |
---|
543 | |
---|
544 | /// Returns true if \c n is hidden. |
---|
545 | bool hidden(const Edge& e) const { return !(*edge_filter_map)[e]; } |
---|
546 | |
---|
547 | /// \warning This is a linear time operation and works only if |
---|
548 | /// \c Graph::NodeIt is defined. |
---|
549 | int nodeNum() const { |
---|
550 | int i=0; |
---|
551 | for (NodeIt n(*this); n!=INVALID; ++n) ++i; |
---|
552 | return i; |
---|
553 | } |
---|
554 | |
---|
555 | /// \warning This is a linear time operation and works only if |
---|
556 | /// \c Graph::EdgeIt is defined. |
---|
557 | int edgeNum() const { |
---|
558 | int i=0; |
---|
559 | for (EdgeIt e(*this); e!=INVALID; ++e) ++i; |
---|
560 | return i; |
---|
561 | } |
---|
562 | |
---|
563 | // KEEP_MAPS(Parent, SubGraphWrapper); |
---|
564 | }; |
---|
565 | |
---|
566 | |
---|
567 | /*! \brief A wrapper for hiding nodes from a graph. |
---|
568 | |
---|
569 | \warning Graph wrappers are in even more experimental state than the other |
---|
570 | parts of the lib. Use them at you own risk. |
---|
571 | |
---|
572 | A wrapper for hiding nodes from a graph. |
---|
573 | This wrapper specializes SubGraphWrapper in the way that only the node-set |
---|
574 | can be filtered. Note that this does not mean of considering induced |
---|
575 | subgraph, the edge-iterators consider the original edge-set. |
---|
576 | \author Marton Makai |
---|
577 | */ |
---|
578 | template<typename Graph, typename NodeFilterMap> |
---|
579 | class NodeSubGraphWrapper : |
---|
580 | public SubGraphWrapper<Graph, NodeFilterMap, |
---|
581 | ConstMap<typename Graph::Edge,bool> > { |
---|
582 | public: |
---|
583 | typedef SubGraphWrapper<Graph, NodeFilterMap, |
---|
584 | ConstMap<typename Graph::Edge,bool> > Parent; |
---|
585 | protected: |
---|
586 | ConstMap<typename Graph::Edge, bool> const_true_map; |
---|
587 | public: |
---|
588 | NodeSubGraphWrapper(Graph& _graph, NodeFilterMap& _node_filter_map) : |
---|
589 | Parent(), const_true_map(true) { |
---|
590 | Parent::setGraph(_graph); |
---|
591 | Parent::setNodeFilterMap(_node_filter_map); |
---|
592 | Parent::setEdgeFilterMap(const_true_map); |
---|
593 | } |
---|
594 | }; |
---|
595 | |
---|
596 | |
---|
597 | /*! \brief A wrapper for hiding edges from a graph. |
---|
598 | |
---|
599 | \warning Graph wrappers are in even more experimental state than the other |
---|
600 | parts of the lib. Use them at you own risk. |
---|
601 | |
---|
602 | A wrapper for hiding edges from a graph. |
---|
603 | This wrapper specializes SubGraphWrapper in the way that only the edge-set |
---|
604 | can be filtered. The usefulness of this wrapper is demonstrated in the |
---|
605 | problem of searching a maximum number of edge-disjoint shortest paths |
---|
606 | between |
---|
607 | two nodes \c s and \c t. Shortest here means being shortest w.r.t. |
---|
608 | non-negative edge-lengths. Note that |
---|
609 | the comprehension of the presented solution |
---|
610 | need's some knowledge from elementary combinatorial optimization. |
---|
611 | |
---|
612 | If a single shortest path is to be |
---|
613 | searched between two nodes \c s and \c t, then this can be done easily by |
---|
614 | applying the Dijkstra algorithm class. What happens, if a maximum number of |
---|
615 | edge-disjoint shortest paths is to be computed. It can be proved that an |
---|
616 | edge can be in a shortest path if and only if it is tight with respect to |
---|
617 | the potential function computed by Dijkstra. Moreover, any path containing |
---|
618 | only such edges is a shortest one. Thus we have to compute a maximum number |
---|
619 | of edge-disjoint paths between \c s and \c t in the graph which has edge-set |
---|
620 | all the tight edges. The computation will be demonstrated on the following |
---|
621 | graph, which is read from a dimacs file. |
---|
622 | |
---|
623 | \dot |
---|
624 | digraph lemon_dot_example { |
---|
625 | node [ shape=ellipse, fontname=Helvetica, fontsize=10 ]; |
---|
626 | n0 [ label="0 (s)" ]; |
---|
627 | n1 [ label="1" ]; |
---|
628 | n2 [ label="2" ]; |
---|
629 | n3 [ label="3" ]; |
---|
630 | n4 [ label="4" ]; |
---|
631 | n5 [ label="5" ]; |
---|
632 | n6 [ label="6 (t)" ]; |
---|
633 | edge [ shape=ellipse, fontname=Helvetica, fontsize=10 ]; |
---|
634 | n5 -> n6 [ label="9, length:4" ]; |
---|
635 | n4 -> n6 [ label="8, length:2" ]; |
---|
636 | n3 -> n5 [ label="7, length:1" ]; |
---|
637 | n2 -> n5 [ label="6, length:3" ]; |
---|
638 | n2 -> n6 [ label="5, length:5" ]; |
---|
639 | n2 -> n4 [ label="4, length:2" ]; |
---|
640 | n1 -> n4 [ label="3, length:3" ]; |
---|
641 | n0 -> n3 [ label="2, length:1" ]; |
---|
642 | n0 -> n2 [ label="1, length:2" ]; |
---|
643 | n0 -> n1 [ label="0, length:3" ]; |
---|
644 | } |
---|
645 | \enddot |
---|
646 | |
---|
647 | \code |
---|
648 | Graph g; |
---|
649 | Node s, t; |
---|
650 | LengthMap length(g); |
---|
651 | |
---|
652 | readDimacs(std::cin, g, length, s, t); |
---|
653 | |
---|
654 | cout << "edges with lengths (of form id, tail--length->head): " << endl; |
---|
655 | for(EdgeIt e(g); e!=INVALID; ++e) |
---|
656 | cout << g.id(e) << ", " << g.id(g.tail(e)) << "--" |
---|
657 | << length[e] << "->" << g.id(g.head(e)) << endl; |
---|
658 | |
---|
659 | cout << "s: " << g.id(s) << " t: " << g.id(t) << endl; |
---|
660 | \endcode |
---|
661 | Next, the potential function is computed with Dijkstra. |
---|
662 | \code |
---|
663 | typedef Dijkstra<Graph, LengthMap> Dijkstra; |
---|
664 | Dijkstra dijkstra(g, length); |
---|
665 | dijkstra.run(s); |
---|
666 | \endcode |
---|
667 | Next, we consrtruct a map which filters the edge-set to the tight edges. |
---|
668 | \code |
---|
669 | typedef TightEdgeFilterMap<Graph, const Dijkstra::DistMap, LengthMap> |
---|
670 | TightEdgeFilter; |
---|
671 | TightEdgeFilter tight_edge_filter(g, dijkstra.distMap(), length); |
---|
672 | |
---|
673 | typedef EdgeSubGraphWrapper<Graph, TightEdgeFilter> SubGW; |
---|
674 | SubGW gw(g, tight_edge_filter); |
---|
675 | \endcode |
---|
676 | Then, the maximum nimber of edge-disjoint \c s-\c t paths are computed |
---|
677 | with a max flow algorithm Preflow. |
---|
678 | \code |
---|
679 | ConstMap<Edge, int> const_1_map(1); |
---|
680 | Graph::EdgeMap<int> flow(g, 0); |
---|
681 | |
---|
682 | Preflow<SubGW, int, ConstMap<Edge, int>, Graph::EdgeMap<int> > |
---|
683 | preflow(gw, s, t, const_1_map, flow); |
---|
684 | preflow.run(); |
---|
685 | \endcode |
---|
686 | Last, the output is: |
---|
687 | \code |
---|
688 | cout << "maximum number of edge-disjoint shortest path: " |
---|
689 | << preflow.flowValue() << endl; |
---|
690 | cout << "edges of the maximum number of edge-disjoint shortest s-t paths: " |
---|
691 | << endl; |
---|
692 | for(EdgeIt e(g); e!=INVALID; ++e) |
---|
693 | if (flow[e]) |
---|
694 | cout << " " << g.id(g.tail(e)) << "--" |
---|
695 | << length[e] << "->" << g.id(g.head(e)) << endl; |
---|
696 | \endcode |
---|
697 | The program has the following (expected :-)) output: |
---|
698 | \code |
---|
699 | edges with lengths (of form id, tail--length->head): |
---|
700 | 9, 5--4->6 |
---|
701 | 8, 4--2->6 |
---|
702 | 7, 3--1->5 |
---|
703 | 6, 2--3->5 |
---|
704 | 5, 2--5->6 |
---|
705 | 4, 2--2->4 |
---|
706 | 3, 1--3->4 |
---|
707 | 2, 0--1->3 |
---|
708 | 1, 0--2->2 |
---|
709 | 0, 0--3->1 |
---|
710 | s: 0 t: 6 |
---|
711 | maximum number of edge-disjoint shortest path: 2 |
---|
712 | edges of the maximum number of edge-disjoint shortest s-t paths: |
---|
713 | 9, 5--4->6 |
---|
714 | 8, 4--2->6 |
---|
715 | 7, 3--1->5 |
---|
716 | 4, 2--2->4 |
---|
717 | 2, 0--1->3 |
---|
718 | 1, 0--2->2 |
---|
719 | \endcode |
---|
720 | |
---|
721 | \author Marton Makai |
---|
722 | */ |
---|
723 | template<typename Graph, typename EdgeFilterMap> |
---|
724 | class EdgeSubGraphWrapper : |
---|
725 | public SubGraphWrapper<Graph, ConstMap<typename Graph::Node,bool>, |
---|
726 | EdgeFilterMap> { |
---|
727 | public: |
---|
728 | typedef SubGraphWrapper<Graph, ConstMap<typename Graph::Node,bool>, |
---|
729 | EdgeFilterMap> Parent; |
---|
730 | protected: |
---|
731 | ConstMap<typename Graph::Node, bool> const_true_map; |
---|
732 | public: |
---|
733 | EdgeSubGraphWrapper(Graph& _graph, EdgeFilterMap& _edge_filter_map) : |
---|
734 | Parent(), const_true_map(true) { |
---|
735 | Parent::setGraph(_graph); |
---|
736 | Parent::setNodeFilterMap(const_true_map); |
---|
737 | Parent::setEdgeFilterMap(_edge_filter_map); |
---|
738 | } |
---|
739 | }; |
---|
740 | |
---|
741 | |
---|
742 | template<typename Graph> |
---|
743 | class UndirGraphWrapper : public GraphWrapper<Graph> { |
---|
744 | public: |
---|
745 | typedef GraphWrapper<Graph> Parent; |
---|
746 | protected: |
---|
747 | UndirGraphWrapper() : GraphWrapper<Graph>() { } |
---|
748 | |
---|
749 | public: |
---|
750 | typedef typename GraphWrapper<Graph>::Node Node; |
---|
751 | typedef typename GraphWrapper<Graph>::NodeIt NodeIt; |
---|
752 | typedef typename GraphWrapper<Graph>::Edge Edge; |
---|
753 | typedef typename GraphWrapper<Graph>::EdgeIt EdgeIt; |
---|
754 | |
---|
755 | UndirGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { } |
---|
756 | |
---|
757 | class OutEdgeIt { |
---|
758 | friend class UndirGraphWrapper<Graph>; |
---|
759 | bool out_or_in; //true iff out |
---|
760 | typename Graph::OutEdgeIt out; |
---|
761 | typename Graph::InEdgeIt in; |
---|
762 | public: |
---|
763 | OutEdgeIt() { } |
---|
764 | OutEdgeIt(const Invalid& i) : Edge(i) { } |
---|
765 | OutEdgeIt(const UndirGraphWrapper<Graph>& _G, const Node& _n) { |
---|
766 | out_or_in=true; _G.graph->first(out, _n); |
---|
767 | if (!(_G.graph->valid(out))) { out_or_in=false; _G.graph->first(in, _n); } |
---|
768 | } |
---|
769 | operator Edge() const { |
---|
770 | if (out_or_in) return Edge(out); else return Edge(in); |
---|
771 | } |
---|
772 | }; |
---|
773 | |
---|
774 | typedef OutEdgeIt InEdgeIt; |
---|
775 | |
---|
776 | using GraphWrapper<Graph>::first; |
---|
777 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
---|
778 | i=OutEdgeIt(*this, p); return i; |
---|
779 | } |
---|
780 | |
---|
781 | using GraphWrapper<Graph>::next; |
---|
782 | |
---|
783 | OutEdgeIt& next(OutEdgeIt& e) const { |
---|
784 | if (e.out_or_in) { |
---|
785 | typename Graph::Node n=this->graph->tail(e.out); |
---|
786 | this->graph->next(e.out); |
---|
787 | if (!this->graph->valid(e.out)) { |
---|
788 | e.out_or_in=false; this->graph->first(e.in, n); } |
---|
789 | } else { |
---|
790 | this->graph->next(e.in); |
---|
791 | } |
---|
792 | return e; |
---|
793 | } |
---|
794 | |
---|
795 | Node aNode(const OutEdgeIt& e) const { |
---|
796 | if (e.out_or_in) return this->graph->tail(e); else |
---|
797 | return this->graph->head(e); } |
---|
798 | Node bNode(const OutEdgeIt& e) const { |
---|
799 | if (e.out_or_in) return this->graph->head(e); else |
---|
800 | return this->graph->tail(e); } |
---|
801 | |
---|
802 | // KEEP_MAPS(Parent, UndirGraphWrapper); |
---|
803 | |
---|
804 | }; |
---|
805 | |
---|
806 | // /// \brief An undirected graph template. |
---|
807 | // /// |
---|
808 | // ///\warning Graph wrappers are in even more experimental state than the other |
---|
809 | // ///parts of the lib. Use them at your own risk. |
---|
810 | // /// |
---|
811 | // /// An undirected graph template. |
---|
812 | // /// This class works as an undirected graph and a directed graph of |
---|
813 | // /// class \c Graph is used for the physical storage. |
---|
814 | // /// \ingroup graphs |
---|
815 | template<typename Graph> |
---|
816 | class UndirGraph : public UndirGraphWrapper<Graph> { |
---|
817 | typedef UndirGraphWrapper<Graph> Parent; |
---|
818 | protected: |
---|
819 | Graph gr; |
---|
820 | public: |
---|
821 | UndirGraph() : UndirGraphWrapper<Graph>() { |
---|
822 | Parent::setGraph(gr); |
---|
823 | } |
---|
824 | |
---|
825 | // KEEP_MAPS(Parent, UndirGraph); |
---|
826 | }; |
---|
827 | |
---|
828 | |
---|
829 | |
---|
830 | ///\brief A wrapper for composing a subgraph of a |
---|
831 | /// bidirected graph made from a directed one. |
---|
832 | /// |
---|
833 | /// A wrapper for composing a subgraph of a |
---|
834 | /// bidirected graph made from a directed one. |
---|
835 | /// |
---|
836 | ///\warning Graph wrappers are in even more experimental state than the other |
---|
837 | ///parts of the lib. Use them at you own risk. |
---|
838 | /// |
---|
839 | /// Let \f$G=(V, A)\f$ be a directed graph and for each directed edge |
---|
840 | /// \f$e\in A\f$, let \f$\bar e\f$ denote the edge obtained by |
---|
841 | /// reversing its orientation. We are given moreover two bool valued |
---|
842 | /// maps on the edge-set, |
---|
843 | /// \f$forward\_filter\f$, and \f$backward\_filter\f$. |
---|
844 | /// SubBidirGraphWrapper implements the graph structure with node-set |
---|
845 | /// \f$V\f$ and edge-set |
---|
846 | /// \f$\{e : e\in A \mbox{ and } forward\_filter(e) \mbox{ is true}\}+\{\bar e : e\in A \mbox{ and } backward\_filter(e) \mbox{ is true}\}\f$. |
---|
847 | /// The purpose of writing + instead of union is because parallel |
---|
848 | /// edges can arise. (Similarly, antiparallel edges also can arise). |
---|
849 | /// In other words, a subgraph of the bidirected graph obtained, which |
---|
850 | /// is given by orienting the edges of the original graph in both directions. |
---|
851 | /// As the oppositely directed edges are logically different, |
---|
852 | /// the maps are able to attach different values for them. |
---|
853 | /// |
---|
854 | /// An example for such a construction is \c RevGraphWrapper where the |
---|
855 | /// forward_filter is everywhere false and the backward_filter is |
---|
856 | /// everywhere true. We note that for sake of efficiency, |
---|
857 | /// \c RevGraphWrapper is implemented in a different way. |
---|
858 | /// But BidirGraphWrapper is obtained from |
---|
859 | /// SubBidirGraphWrapper by considering everywhere true |
---|
860 | /// valued maps both for forward_filter and backward_filter. |
---|
861 | /// Finally, one of the most important applications of SubBidirGraphWrapper |
---|
862 | /// is ResGraphWrapper, which stands for the residual graph in directed |
---|
863 | /// flow and circulation problems. |
---|
864 | /// As wrappers usually, the SubBidirGraphWrapper implements the |
---|
865 | /// above mentioned graph structure without its physical storage, |
---|
866 | /// that is the whole stuff is stored in constant memory. |
---|
867 | template<typename Graph, |
---|
868 | typename ForwardFilterMap, typename BackwardFilterMap> |
---|
869 | class SubBidirGraphWrapper : public GraphWrapper<Graph> { |
---|
870 | public: |
---|
871 | typedef GraphWrapper<Graph> Parent; |
---|
872 | protected: |
---|
873 | ForwardFilterMap* forward_filter; |
---|
874 | BackwardFilterMap* backward_filter; |
---|
875 | |
---|
876 | SubBidirGraphWrapper() : GraphWrapper<Graph>() { } |
---|
877 | void setForwardFilterMap(ForwardFilterMap& _forward_filter) { |
---|
878 | forward_filter=&_forward_filter; |
---|
879 | } |
---|
880 | void setBackwardFilterMap(BackwardFilterMap& _backward_filter) { |
---|
881 | backward_filter=&_backward_filter; |
---|
882 | } |
---|
883 | |
---|
884 | public: |
---|
885 | |
---|
886 | SubBidirGraphWrapper(Graph& _graph, ForwardFilterMap& _forward_filter, |
---|
887 | BackwardFilterMap& _backward_filter) : |
---|
888 | GraphWrapper<Graph>(_graph), |
---|
889 | forward_filter(&_forward_filter), backward_filter(&_backward_filter) { } |
---|
890 | SubBidirGraphWrapper(const SubBidirGraphWrapper<Graph, |
---|
891 | ForwardFilterMap, BackwardFilterMap>& gw) : |
---|
892 | Parent(gw), |
---|
893 | forward_filter(gw.forward_filter), |
---|
894 | backward_filter(gw.backward_filter) { } |
---|
895 | |
---|
896 | class Edge; |
---|
897 | class OutEdgeIt; |
---|
898 | friend class Edge; |
---|
899 | friend class OutEdgeIt; |
---|
900 | |
---|
901 | template<typename T> class EdgeMap; |
---|
902 | |
---|
903 | typedef typename GraphWrapper<Graph>::Node Node; |
---|
904 | |
---|
905 | typedef typename Graph::Edge GraphEdge; |
---|
906 | /// SubBidirGraphWrapper<..., ..., ...>::Edge is inherited from |
---|
907 | /// Graph::Edge. It contains an extra bool flag which is true |
---|
908 | /// if and only if the |
---|
909 | /// edge is the backward version of the original edge. |
---|
910 | class Edge : public Graph::Edge { |
---|
911 | friend class SubBidirGraphWrapper<Graph, |
---|
912 | ForwardFilterMap, BackwardFilterMap>; |
---|
913 | template<typename T> friend class EdgeMap; |
---|
914 | protected: |
---|
915 | bool backward; //true, iff backward |
---|
916 | public: |
---|
917 | Edge() { } |
---|
918 | /// \todo =false is needed, or causes problems? |
---|
919 | /// If \c _backward is false, then we get an edge corresponding to the |
---|
920 | /// original one, otherwise its oppositely directed pair is obtained. |
---|
921 | Edge(const typename Graph::Edge& e, bool _backward/*=false*/) : |
---|
922 | Graph::Edge(e), backward(_backward) { } |
---|
923 | Edge(Invalid i) : Graph::Edge(i), backward(true) { } |
---|
924 | bool operator==(const Edge& v) const { |
---|
925 | return (this->backward==v.backward && |
---|
926 | static_cast<typename Graph::Edge>(*this)== |
---|
927 | static_cast<typename Graph::Edge>(v)); |
---|
928 | } |
---|
929 | bool operator!=(const Edge& v) const { |
---|
930 | return (this->backward!=v.backward || |
---|
931 | static_cast<typename Graph::Edge>(*this)!= |
---|
932 | static_cast<typename Graph::Edge>(v)); |
---|
933 | } |
---|
934 | }; |
---|
935 | |
---|
936 | class OutEdgeIt : public Edge { |
---|
937 | friend class SubBidirGraphWrapper<Graph, |
---|
938 | ForwardFilterMap, BackwardFilterMap>; |
---|
939 | protected: |
---|
940 | const SubBidirGraphWrapper<Graph, |
---|
941 | ForwardFilterMap, BackwardFilterMap>* gw; |
---|
942 | public: |
---|
943 | OutEdgeIt() { } |
---|
944 | OutEdgeIt(Invalid i) : Edge(i) { } |
---|
945 | OutEdgeIt(const SubBidirGraphWrapper<Graph, |
---|
946 | ForwardFilterMap, BackwardFilterMap>& _gw, const Node& n) : |
---|
947 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n), false), gw(&_gw) { |
---|
948 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
949 | !(*(gw->forward_filter))[*this]) |
---|
950 | *(static_cast<GraphEdge*>(this))= |
---|
951 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
952 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
953 | *static_cast<Edge*>(this)= |
---|
954 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n), true); |
---|
955 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
956 | !(*(gw->backward_filter))[*this]) |
---|
957 | *(static_cast<GraphEdge*>(this))= |
---|
958 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
959 | } |
---|
960 | } |
---|
961 | OutEdgeIt(const SubBidirGraphWrapper<Graph, |
---|
962 | ForwardFilterMap, BackwardFilterMap>& _gw, const Edge& e) : |
---|
963 | Edge(e), gw(&_gw) { } |
---|
964 | OutEdgeIt& operator++() { |
---|
965 | if (!this->backward) { |
---|
966 | Node n=gw->tail(*this); |
---|
967 | *(static_cast<GraphEdge*>(this))= |
---|
968 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
969 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
970 | !(*(gw->forward_filter))[*this]) |
---|
971 | *(static_cast<GraphEdge*>(this))= |
---|
972 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
973 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
974 | *static_cast<Edge*>(this)= |
---|
975 | Edge(typename Graph::InEdgeIt(*(gw->graph), n), true); |
---|
976 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
977 | !(*(gw->backward_filter))[*this]) |
---|
978 | *(static_cast<GraphEdge*>(this))= |
---|
979 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
980 | } |
---|
981 | } else { |
---|
982 | *(static_cast<GraphEdge*>(this))= |
---|
983 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
984 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
985 | !(*(gw->backward_filter))[*this]) |
---|
986 | *(static_cast<GraphEdge*>(this))= |
---|
987 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
988 | } |
---|
989 | return *this; |
---|
990 | } |
---|
991 | }; |
---|
992 | |
---|
993 | class InEdgeIt : public Edge { |
---|
994 | friend class SubBidirGraphWrapper<Graph, |
---|
995 | ForwardFilterMap, BackwardFilterMap>; |
---|
996 | protected: |
---|
997 | const SubBidirGraphWrapper<Graph, |
---|
998 | ForwardFilterMap, BackwardFilterMap>* gw; |
---|
999 | public: |
---|
1000 | InEdgeIt() { } |
---|
1001 | InEdgeIt(Invalid i) : Edge(i) { } |
---|
1002 | InEdgeIt(const SubBidirGraphWrapper<Graph, |
---|
1003 | ForwardFilterMap, BackwardFilterMap>& _gw, const Node& n) : |
---|
1004 | Edge(typename Graph::InEdgeIt(*(_gw.graph), n), false), gw(&_gw) { |
---|
1005 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1006 | !(*(gw->forward_filter))[*this]) |
---|
1007 | *(static_cast<GraphEdge*>(this))= |
---|
1008 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
1009 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
1010 | *static_cast<Edge*>(this)= |
---|
1011 | Edge(typename Graph::OutEdgeIt(*(_gw.graph), n), true); |
---|
1012 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1013 | !(*(gw->backward_filter))[*this]) |
---|
1014 | *(static_cast<GraphEdge*>(this))= |
---|
1015 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
1016 | } |
---|
1017 | } |
---|
1018 | InEdgeIt(const SubBidirGraphWrapper<Graph, |
---|
1019 | ForwardFilterMap, BackwardFilterMap>& _gw, const Edge& e) : |
---|
1020 | Edge(e), gw(&_gw) { } |
---|
1021 | InEdgeIt& operator++() { |
---|
1022 | if (!this->backward) { |
---|
1023 | Node n=gw->tail(*this); |
---|
1024 | *(static_cast<GraphEdge*>(this))= |
---|
1025 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
1026 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1027 | !(*(gw->forward_filter))[*this]) |
---|
1028 | *(static_cast<GraphEdge*>(this))= |
---|
1029 | ++(typename Graph::InEdgeIt(*(gw->graph), *this)); |
---|
1030 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
1031 | *static_cast<Edge*>(this)= |
---|
1032 | Edge(typename Graph::OutEdgeIt(*(gw->graph), n), true); |
---|
1033 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1034 | !(*(gw->backward_filter))[*this]) |
---|
1035 | *(static_cast<GraphEdge*>(this))= |
---|
1036 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
1037 | } |
---|
1038 | } else { |
---|
1039 | *(static_cast<GraphEdge*>(this))= |
---|
1040 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
1041 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1042 | !(*(gw->backward_filter))[*this]) |
---|
1043 | *(static_cast<GraphEdge*>(this))= |
---|
1044 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
---|
1045 | } |
---|
1046 | return *this; |
---|
1047 | } |
---|
1048 | }; |
---|
1049 | |
---|
1050 | class EdgeIt : public Edge { |
---|
1051 | friend class SubBidirGraphWrapper<Graph, |
---|
1052 | ForwardFilterMap, BackwardFilterMap>; |
---|
1053 | protected: |
---|
1054 | const SubBidirGraphWrapper<Graph, |
---|
1055 | ForwardFilterMap, BackwardFilterMap>* gw; |
---|
1056 | public: |
---|
1057 | EdgeIt() { } |
---|
1058 | EdgeIt(Invalid i) : Edge(i) { } |
---|
1059 | EdgeIt(const SubBidirGraphWrapper<Graph, |
---|
1060 | ForwardFilterMap, BackwardFilterMap>& _gw) : |
---|
1061 | Edge(typename Graph::EdgeIt(*(_gw.graph)), false), gw(&_gw) { |
---|
1062 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1063 | !(*(gw->forward_filter))[*this]) |
---|
1064 | *(static_cast<GraphEdge*>(this))= |
---|
1065 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
1066 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
1067 | *static_cast<Edge*>(this)= |
---|
1068 | Edge(typename Graph::EdgeIt(*(_gw.graph)), true); |
---|
1069 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1070 | !(*(gw->backward_filter))[*this]) |
---|
1071 | *(static_cast<GraphEdge*>(this))= |
---|
1072 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
1073 | } |
---|
1074 | } |
---|
1075 | EdgeIt(const SubBidirGraphWrapper<Graph, |
---|
1076 | ForwardFilterMap, BackwardFilterMap>& _gw, const Edge& e) : |
---|
1077 | Edge(e), gw(&_gw) { } |
---|
1078 | EdgeIt& operator++() { |
---|
1079 | if (!this->backward) { |
---|
1080 | *(static_cast<GraphEdge*>(this))= |
---|
1081 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
1082 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1083 | !(*(gw->forward_filter))[*this]) |
---|
1084 | *(static_cast<GraphEdge*>(this))= |
---|
1085 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
1086 | if (*static_cast<GraphEdge*>(this)==INVALID) { |
---|
1087 | *static_cast<Edge*>(this)= |
---|
1088 | Edge(typename Graph::EdgeIt(*(gw->graph)), true); |
---|
1089 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1090 | !(*(gw->backward_filter))[*this]) |
---|
1091 | *(static_cast<GraphEdge*>(this))= |
---|
1092 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
1093 | } |
---|
1094 | } else { |
---|
1095 | *(static_cast<GraphEdge*>(this))= |
---|
1096 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
1097 | while (*static_cast<GraphEdge*>(this)!=INVALID && |
---|
1098 | !(*(gw->backward_filter))[*this]) |
---|
1099 | *(static_cast<GraphEdge*>(this))= |
---|
1100 | ++(typename Graph::EdgeIt(*(gw->graph), *this)); |
---|
1101 | } |
---|
1102 | return *this; |
---|
1103 | } |
---|
1104 | }; |
---|
1105 | |
---|
1106 | using GraphWrapper<Graph>::first; |
---|
1107 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
---|
1108 | i=OutEdgeIt(*this, p); return i; |
---|
1109 | } |
---|
1110 | InEdgeIt& first(InEdgeIt& i, const Node& p) const { |
---|
1111 | i=InEdgeIt(*this, p); return i; |
---|
1112 | } |
---|
1113 | EdgeIt& first(EdgeIt& i) const { |
---|
1114 | i=EdgeIt(*this); return i; |
---|
1115 | } |
---|
1116 | |
---|
1117 | |
---|
1118 | Node tail(Edge e) const { |
---|
1119 | return ((!e.backward) ? this->graph->tail(e) : this->graph->head(e)); } |
---|
1120 | Node head(Edge e) const { |
---|
1121 | return ((!e.backward) ? this->graph->head(e) : this->graph->tail(e)); } |
---|
1122 | |
---|
1123 | /// Gives back the opposite edge. |
---|
1124 | Edge opposite(const Edge& e) const { |
---|
1125 | Edge f=e; |
---|
1126 | f.backward=!f.backward; |
---|
1127 | return f; |
---|
1128 | } |
---|
1129 | |
---|
1130 | /// \warning This is a linear time operation and works only if |
---|
1131 | /// \c Graph::EdgeIt is defined. |
---|
1132 | int edgeNum() const { |
---|
1133 | int i=0; |
---|
1134 | for (EdgeIt e(*this); e!=INVALID; ++e) ++i; |
---|
1135 | return i; |
---|
1136 | } |
---|
1137 | |
---|
1138 | bool forward(const Edge& e) const { return !e.backward; } |
---|
1139 | bool backward(const Edge& e) const { return e.backward; } |
---|
1140 | |
---|
1141 | |
---|
1142 | template <typename T> |
---|
1143 | /// \c SubBidirGraphWrapper<..., ..., ...>::EdgeMap contains two |
---|
1144 | /// Graph::EdgeMap one for the forward edges and |
---|
1145 | /// one for the backward edges. |
---|
1146 | class EdgeMap { |
---|
1147 | template <typename TT> friend class EdgeMap; |
---|
1148 | typename Graph::template EdgeMap<T> forward_map, backward_map; |
---|
1149 | public: |
---|
1150 | typedef T ValueType; |
---|
1151 | typedef Edge KeyType; |
---|
1152 | |
---|
1153 | EdgeMap(const SubBidirGraphWrapper<Graph, |
---|
1154 | ForwardFilterMap, BackwardFilterMap>& g) : |
---|
1155 | forward_map(*(g.graph)), backward_map(*(g.graph)) { } |
---|
1156 | |
---|
1157 | EdgeMap(const SubBidirGraphWrapper<Graph, |
---|
1158 | ForwardFilterMap, BackwardFilterMap>& g, T a) : |
---|
1159 | forward_map(*(g.graph), a), backward_map(*(g.graph), a) { } |
---|
1160 | |
---|
1161 | template <typename TT> |
---|
1162 | EdgeMap(const EdgeMap<TT>& copy) |
---|
1163 | : forward_map(copy.forward_map), backward_map(copy.backward_map) {} |
---|
1164 | |
---|
1165 | template <typename TT> |
---|
1166 | EdgeMap& operator=(const EdgeMap<TT>& copy) { |
---|
1167 | forward_map = copy.forward_map; |
---|
1168 | backward_map = copy.backward_map; |
---|
1169 | return *this; |
---|
1170 | } |
---|
1171 | |
---|
1172 | void set(Edge e, T a) { |
---|
1173 | if (!e.backward) |
---|
1174 | forward_map.set(e, a); |
---|
1175 | else |
---|
1176 | backward_map.set(e, a); |
---|
1177 | } |
---|
1178 | |
---|
1179 | typename Graph::template EdgeMap<T>::ConstReferenceType |
---|
1180 | operator[](Edge e) const { |
---|
1181 | if (!e.backward) |
---|
1182 | return forward_map[e]; |
---|
1183 | else |
---|
1184 | return backward_map[e]; |
---|
1185 | } |
---|
1186 | |
---|
1187 | typename Graph::template EdgeMap<T>::ReferenceType |
---|
1188 | operator[](Edge e) { |
---|
1189 | if (!e.backward) |
---|
1190 | return forward_map[e]; |
---|
1191 | else |
---|
1192 | return backward_map[e]; |
---|
1193 | } |
---|
1194 | |
---|
1195 | void update() { |
---|
1196 | forward_map.update(); |
---|
1197 | backward_map.update(); |
---|
1198 | } |
---|
1199 | }; |
---|
1200 | |
---|
1201 | |
---|
1202 | // KEEP_NODE_MAP(Parent, SubBidirGraphWrapper); |
---|
1203 | |
---|
1204 | }; |
---|
1205 | |
---|
1206 | |
---|
1207 | ///\brief A wrapper for composing bidirected graph from a directed one. |
---|
1208 | /// |
---|
1209 | ///\warning Graph wrappers are in even more experimental state than the other |
---|
1210 | ///parts of the lib. Use them at you own risk. |
---|
1211 | /// |
---|
1212 | /// A wrapper for composing bidirected graph from a directed one. |
---|
1213 | /// A bidirected graph is composed over the directed one without physical |
---|
1214 | /// storage. As the oppositely directed edges are logically different ones |
---|
1215 | /// the maps are able to attach different values for them. |
---|
1216 | template<typename Graph> |
---|
1217 | class BidirGraphWrapper : |
---|
1218 | public SubBidirGraphWrapper< |
---|
1219 | Graph, |
---|
1220 | ConstMap<typename Graph::Edge, bool>, |
---|
1221 | ConstMap<typename Graph::Edge, bool> > { |
---|
1222 | public: |
---|
1223 | typedef SubBidirGraphWrapper< |
---|
1224 | Graph, |
---|
1225 | ConstMap<typename Graph::Edge, bool>, |
---|
1226 | ConstMap<typename Graph::Edge, bool> > Parent; |
---|
1227 | protected: |
---|
1228 | ConstMap<typename Graph::Edge, bool> cm; |
---|
1229 | |
---|
1230 | BidirGraphWrapper() : Parent(), cm(true) { |
---|
1231 | Parent::setForwardFilterMap(cm); |
---|
1232 | Parent::setBackwardFilterMap(cm); |
---|
1233 | } |
---|
1234 | public: |
---|
1235 | BidirGraphWrapper(Graph& _graph) : Parent() { |
---|
1236 | Parent::setGraph(_graph); |
---|
1237 | Parent::setForwardFilterMap(cm); |
---|
1238 | Parent::setBackwardFilterMap(cm); |
---|
1239 | } |
---|
1240 | |
---|
1241 | int edgeNum() const { |
---|
1242 | return 2*this->graph->edgeNum(); |
---|
1243 | } |
---|
1244 | // KEEP_MAPS(Parent, BidirGraphWrapper); |
---|
1245 | }; |
---|
1246 | |
---|
1247 | |
---|
1248 | /// \brief A bidirected graph template. |
---|
1249 | /// |
---|
1250 | ///\warning Graph wrappers are in even more experimental state than the other |
---|
1251 | ///parts of the lib. Use them at you own risk. |
---|
1252 | /// |
---|
1253 | /// A bidirected graph template. |
---|
1254 | /// Such a bidirected graph stores each pair of oppositely directed edges |
---|
1255 | /// ones in the memory, i.e. a directed graph of type |
---|
1256 | /// \c Graph is used for that. |
---|
1257 | /// As the oppositely directed edges are logically different ones |
---|
1258 | /// the maps are able to attach different values for them. |
---|
1259 | /// \ingroup graphs |
---|
1260 | template<typename Graph> |
---|
1261 | class BidirGraph : public BidirGraphWrapper<Graph> { |
---|
1262 | public: |
---|
1263 | typedef UndirGraphWrapper<Graph> Parent; |
---|
1264 | protected: |
---|
1265 | Graph gr; |
---|
1266 | public: |
---|
1267 | BidirGraph() : BidirGraphWrapper<Graph>() { |
---|
1268 | Parent::setGraph(gr); |
---|
1269 | } |
---|
1270 | // KEEP_MAPS(Parent, BidirGraph); |
---|
1271 | }; |
---|
1272 | |
---|
1273 | |
---|
1274 | |
---|
1275 | template<typename Graph, typename Number, |
---|
1276 | typename CapacityMap, typename FlowMap> |
---|
1277 | class ResForwardFilter { |
---|
1278 | // const Graph* graph; |
---|
1279 | const CapacityMap* capacity; |
---|
1280 | const FlowMap* flow; |
---|
1281 | public: |
---|
1282 | ResForwardFilter(/*const Graph& _graph, */ |
---|
1283 | const CapacityMap& _capacity, const FlowMap& _flow) : |
---|
1284 | /*graph(&_graph),*/ capacity(&_capacity), flow(&_flow) { } |
---|
1285 | ResForwardFilter() : /*graph(0),*/ capacity(0), flow(0) { } |
---|
1286 | void setCapacity(const CapacityMap& _capacity) { capacity=&_capacity; } |
---|
1287 | void setFlow(const FlowMap& _flow) { flow=&_flow; } |
---|
1288 | bool operator[](const typename Graph::Edge& e) const { |
---|
1289 | return (Number((*flow)[e]) < Number((*capacity)[e])); |
---|
1290 | } |
---|
1291 | }; |
---|
1292 | |
---|
1293 | template<typename Graph, typename Number, |
---|
1294 | typename CapacityMap, typename FlowMap> |
---|
1295 | class ResBackwardFilter { |
---|
1296 | const CapacityMap* capacity; |
---|
1297 | const FlowMap* flow; |
---|
1298 | public: |
---|
1299 | ResBackwardFilter(/*const Graph& _graph,*/ |
---|
1300 | const CapacityMap& _capacity, const FlowMap& _flow) : |
---|
1301 | /*graph(&_graph),*/ capacity(&_capacity), flow(&_flow) { } |
---|
1302 | ResBackwardFilter() : /*graph(0),*/ capacity(0), flow(0) { } |
---|
1303 | void setCapacity(const CapacityMap& _capacity) { capacity=&_capacity; } |
---|
1304 | void setFlow(const FlowMap& _flow) { flow=&_flow; } |
---|
1305 | bool operator[](const typename Graph::Edge& e) const { |
---|
1306 | return (Number(0) < Number((*flow)[e])); |
---|
1307 | } |
---|
1308 | }; |
---|
1309 | |
---|
1310 | |
---|
1311 | /// A wrapper for composing the residual graph for directed flow and circulation problems. |
---|
1312 | |
---|
1313 | ///\warning Graph wrappers are in even more experimental state than the other |
---|
1314 | ///parts of the lib. Use them at you own risk. |
---|
1315 | /// |
---|
1316 | /// A wrapper for composing the residual graph for directed flow and circulation problems. |
---|
1317 | template<typename Graph, typename Number, |
---|
1318 | typename CapacityMap, typename FlowMap> |
---|
1319 | class ResGraphWrapper : |
---|
1320 | public SubBidirGraphWrapper< |
---|
1321 | Graph, |
---|
1322 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap>, |
---|
1323 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> > { |
---|
1324 | public: |
---|
1325 | typedef SubBidirGraphWrapper< |
---|
1326 | Graph, |
---|
1327 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap>, |
---|
1328 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> > Parent; |
---|
1329 | protected: |
---|
1330 | const CapacityMap* capacity; |
---|
1331 | FlowMap* flow; |
---|
1332 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap> forward_filter; |
---|
1333 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> backward_filter; |
---|
1334 | ResGraphWrapper() : Parent(), |
---|
1335 | capacity(0), flow(0) { } |
---|
1336 | void setCapacityMap(const CapacityMap& _capacity) { |
---|
1337 | capacity=&_capacity; |
---|
1338 | forward_filter.setCapacity(_capacity); |
---|
1339 | backward_filter.setCapacity(_capacity); |
---|
1340 | } |
---|
1341 | void setFlowMap(FlowMap& _flow) { |
---|
1342 | flow=&_flow; |
---|
1343 | forward_filter.setFlow(_flow); |
---|
1344 | backward_filter.setFlow(_flow); |
---|
1345 | } |
---|
1346 | public: |
---|
1347 | ResGraphWrapper(Graph& _graph, const CapacityMap& _capacity, |
---|
1348 | FlowMap& _flow) : |
---|
1349 | Parent(), capacity(&_capacity), flow(&_flow), |
---|
1350 | forward_filter(/*_graph,*/ _capacity, _flow), |
---|
1351 | backward_filter(/*_graph,*/ _capacity, _flow) { |
---|
1352 | Parent::setGraph(_graph); |
---|
1353 | Parent::setForwardFilterMap(forward_filter); |
---|
1354 | Parent::setBackwardFilterMap(backward_filter); |
---|
1355 | } |
---|
1356 | |
---|
1357 | typedef typename Parent::Edge Edge; |
---|
1358 | |
---|
1359 | void augment(const Edge& e, Number a) const { |
---|
1360 | if (Parent::forward(e)) |
---|
1361 | flow->set(e, (*flow)[e]+a); |
---|
1362 | else |
---|
1363 | flow->set(e, (*flow)[e]-a); |
---|
1364 | } |
---|
1365 | |
---|
1366 | /// \brief Residual capacity map. |
---|
1367 | /// |
---|
1368 | /// In generic residual graphs the residual capacity can be obtained |
---|
1369 | /// as a map. |
---|
1370 | class ResCap { |
---|
1371 | protected: |
---|
1372 | const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>* res_graph; |
---|
1373 | public: |
---|
1374 | typedef Number ValueType; |
---|
1375 | typedef Edge KeyType; |
---|
1376 | ResCap(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& |
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1377 | _res_graph) : res_graph(&_res_graph) { } |
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1378 | Number operator[](const Edge& e) const { |
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1379 | if (res_graph->forward(e)) |
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1380 | return (*(res_graph->capacity))[e]-(*(res_graph->flow))[e]; |
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1381 | else |
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1382 | return (*(res_graph->flow))[e]; |
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1383 | } |
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1384 | }; |
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1385 | |
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1386 | // KEEP_MAPS(Parent, ResGraphWrapper); |
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1387 | }; |
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1388 | |
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1389 | |
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1390 | /// For blocking flows. |
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1391 | |
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1392 | ///\warning Graph wrappers are in even more experimental state than the other |
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1393 | ///parts of the lib. Use them at you own risk. |
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1394 | /// |
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1395 | /// This graph wrapper is used for on-the-fly |
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1396 | /// Dinits blocking flow computations. |
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1397 | /// For each node, an out-edge is stored which is used when the |
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1398 | /// \code |
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1399 | /// OutEdgeIt& first(OutEdgeIt&, const Node&) |
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1400 | /// \endcode |
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1401 | /// is called. |
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1402 | /// |
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1403 | /// \author Marton Makai |
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1404 | template<typename Graph, typename FirstOutEdgesMap> |
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1405 | class ErasingFirstGraphWrapper : public GraphWrapper<Graph> { |
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1406 | public: |
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1407 | typedef GraphWrapper<Graph> Parent; |
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1408 | protected: |
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1409 | FirstOutEdgesMap* first_out_edges; |
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1410 | public: |
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1411 | ErasingFirstGraphWrapper(Graph& _graph, |
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1412 | FirstOutEdgesMap& _first_out_edges) : |
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1413 | GraphWrapper<Graph>(_graph), first_out_edges(&_first_out_edges) { } |
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1414 | |
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1415 | typedef typename GraphWrapper<Graph>::Node Node; |
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1416 | typedef typename GraphWrapper<Graph>::Edge Edge; |
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1417 | class OutEdgeIt : public Edge { |
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1418 | friend class GraphWrapper<Graph>; |
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1419 | friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>; |
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1420 | const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>* gw; |
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1421 | public: |
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1422 | OutEdgeIt() { } |
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1423 | OutEdgeIt(Invalid i) : Edge(i) { } |
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1424 | OutEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _gw, |
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1425 | const Node& n) : |
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1426 | Edge((*(_gw.first_out_edges))[n]), gw(&_gw) { } |
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1427 | OutEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _gw, |
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1428 | const Edge& e) : |
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1429 | Edge(e), gw(&_gw) { } |
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1430 | OutEdgeIt& operator++() { |
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1431 | *(static_cast<Edge*>(this))= |
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1432 | ++(typename Graph::OutEdgeIt(*(gw->graph), *this)); |
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1433 | return *this; |
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1434 | } |
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1435 | }; |
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1436 | |
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1437 | using GraphWrapper<Graph>::first; |
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1438 | OutEdgeIt& first(OutEdgeIt& i, const Node& p) const { |
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1439 | i=OutEdgeIt(*this, p); return i; |
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1440 | } |
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1441 | void erase(const Edge& e) const { |
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1442 | Node n=tail(e); |
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1443 | typename Graph::OutEdgeIt f(*Parent::graph, n); |
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1444 | ++f; |
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1445 | first_out_edges->set(n, f); |
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1446 | } |
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1447 | |
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1448 | // KEEP_MAPS(Parent, ErasingFirstGraphWrapper); |
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1449 | }; |
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1450 | |
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1451 | ///@} |
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1452 | |
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1453 | } //namespace lemon |
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1454 | |
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1455 | #endif //LEMON_GRAPH_WRAPPER_H |
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1456 | |
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