1 | /* -*- C++ -*- |
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2 | * lemon/graph_adaptor.h - Part of LEMON, a generic C++ optimization library |
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3 | * |
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4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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5 | * (Egervary Research Group on Combinatorial Optimization, 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_ADAPTOR_H |
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18 | #define LEMON_GRAPH_ADAPTOR_H |
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19 | |
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20 | ///\ingroup graph_adaptors |
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21 | ///\file |
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22 | ///\brief Several graph adaptors. |
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23 | /// |
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24 | ///This file contains several useful graph adaptor 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/bits/erasable_graph_extender.h> |
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31 | #include <lemon/bits/clearable_graph_extender.h> |
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32 | #include <lemon/bits/extendable_graph_extender.h> |
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33 | #include <lemon/bits/iterable_graph_extender.h> |
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34 | #include <lemon/bits/alteration_notifier.h> |
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35 | #include <lemon/bits/default_map.h> |
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36 | #include <lemon/bits/undir_graph_extender.h> |
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37 | #include <iostream> |
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38 | |
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39 | namespace lemon { |
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40 | |
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41 | // Graph adaptors |
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42 | |
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43 | /*! |
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44 | \addtogroup graph_adaptors |
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45 | @{ |
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46 | */ |
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47 | |
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48 | /*! |
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49 | Base type for the Graph Adaptors |
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50 | |
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51 | \warning Graph adaptors are in even more experimental state than the other |
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52 | parts of the lib. Use them at you own risk. |
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53 | |
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54 | This is the base type for most of LEMON graph adaptors. |
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55 | This class implements a trivial graph adaptor i.e. it only wraps the |
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56 | functions and types of the graph. The purpose of this class is to |
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57 | make easier implementing graph adaptors. E.g. if an adaptor is |
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58 | considered which differs from the wrapped graph only in some of its |
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59 | functions or types, then it can be derived from GraphAdaptor, and only the |
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60 | differences should be implemented. |
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61 | |
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62 | \author Marton Makai |
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63 | */ |
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64 | template<typename _Graph> |
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65 | class GraphAdaptorBase { |
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66 | public: |
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67 | typedef _Graph Graph; |
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68 | /// \todo Is it needed? |
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69 | typedef Graph BaseGraph; |
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70 | typedef Graph ParentGraph; |
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71 | |
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72 | protected: |
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73 | Graph* graph; |
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74 | GraphAdaptorBase() : graph(0) { } |
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75 | void setGraph(Graph& _graph) { graph=&_graph; } |
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76 | |
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77 | public: |
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78 | GraphAdaptorBase(Graph& _graph) : graph(&_graph) { } |
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79 | |
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80 | typedef typename Graph::Node Node; |
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81 | typedef typename Graph::Edge Edge; |
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82 | |
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83 | void first(Node& i) const { graph->first(i); } |
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84 | void first(Edge& i) const { graph->first(i); } |
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85 | void firstIn(Edge& i, const Node& n) const { graph->firstIn(i, n); } |
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86 | void firstOut(Edge& i, const Node& n ) const { graph->firstOut(i, n); } |
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87 | |
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88 | void next(Node& i) const { graph->next(i); } |
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89 | void next(Edge& i) const { graph->next(i); } |
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90 | void nextIn(Edge& i) const { graph->nextIn(i); } |
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91 | void nextOut(Edge& i) const { graph->nextOut(i); } |
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92 | |
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93 | Node source(const Edge& e) const { return graph->source(e); } |
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94 | Node target(const Edge& e) const { return graph->target(e); } |
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95 | |
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96 | int nodeNum() const { return graph->nodeNum(); } |
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97 | int edgeNum() const { return graph->edgeNum(); } |
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98 | |
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99 | Node addNode() const { return Node(graph->addNode()); } |
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100 | Edge addEdge(const Node& source, const Node& target) const { |
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101 | return Edge(graph->addEdge(source, target)); } |
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102 | |
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103 | void erase(const Node& i) const { graph->erase(i); } |
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104 | void erase(const Edge& i) const { graph->erase(i); } |
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105 | |
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106 | void clear() const { graph->clear(); } |
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107 | |
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108 | bool forward(const Edge& e) const { return graph->forward(e); } |
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109 | bool backward(const Edge& e) const { return graph->backward(e); } |
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110 | |
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111 | int id(const Node& v) const { return graph->id(v); } |
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112 | int id(const Edge& e) const { return graph->id(e); } |
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113 | |
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114 | Edge opposite(const Edge& e) const { return Edge(graph->opposite(e)); } |
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115 | |
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116 | template <typename _Value> |
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117 | class NodeMap : public _Graph::template NodeMap<_Value> { |
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118 | public: |
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119 | typedef typename _Graph::template NodeMap<_Value> Parent; |
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120 | NodeMap(const GraphAdaptorBase<_Graph>& gw) : Parent(*gw.graph) { } |
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121 | NodeMap(const GraphAdaptorBase<_Graph>& gw, const _Value& value) |
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122 | : Parent(*gw.graph, value) { } |
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123 | }; |
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124 | |
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125 | template <typename _Value> |
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126 | class EdgeMap : public _Graph::template EdgeMap<_Value> { |
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127 | public: |
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128 | typedef typename _Graph::template EdgeMap<_Value> Parent; |
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129 | EdgeMap(const GraphAdaptorBase<_Graph>& gw) : Parent(*gw.graph) { } |
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130 | EdgeMap(const GraphAdaptorBase<_Graph>& gw, const _Value& value) |
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131 | : Parent(*gw.graph, value) { } |
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132 | }; |
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133 | |
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134 | }; |
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135 | |
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136 | template <typename _Graph> |
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137 | class GraphAdaptor : |
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138 | public IterableGraphExtender<GraphAdaptorBase<_Graph> > { |
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139 | public: |
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140 | typedef _Graph Graph; |
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141 | typedef IterableGraphExtender<GraphAdaptorBase<_Graph> > Parent; |
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142 | protected: |
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143 | GraphAdaptor() : Parent() { } |
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144 | |
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145 | public: |
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146 | GraphAdaptor(Graph& _graph) { setGraph(_graph); } |
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147 | }; |
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148 | |
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149 | template <typename _Graph> |
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150 | class RevGraphAdaptorBase : public GraphAdaptorBase<_Graph> { |
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151 | public: |
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152 | typedef _Graph Graph; |
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153 | typedef GraphAdaptorBase<_Graph> Parent; |
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154 | protected: |
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155 | RevGraphAdaptorBase() : Parent() { } |
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156 | public: |
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157 | typedef typename Parent::Node Node; |
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158 | typedef typename Parent::Edge Edge; |
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159 | |
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160 | // using Parent::first; |
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161 | void firstIn(Edge& i, const Node& n) const { Parent::firstOut(i, n); } |
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162 | void firstOut(Edge& i, const Node& n ) const { Parent::firstIn(i, n); } |
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163 | |
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164 | // using Parent::next; |
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165 | void nextIn(Edge& i) const { Parent::nextOut(i); } |
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166 | void nextOut(Edge& i) const { Parent::nextIn(i); } |
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167 | |
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168 | Node source(const Edge& e) const { return Parent::target(e); } |
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169 | Node target(const Edge& e) const { return Parent::source(e); } |
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170 | }; |
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171 | |
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172 | |
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173 | /// A graph adaptor which reverses the orientation of the edges. |
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174 | |
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175 | ///\warning Graph adaptors are in even more experimental state than the other |
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176 | ///parts of the lib. Use them at you own risk. |
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177 | /// |
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178 | /// Let \f$G=(V, A)\f$ be a directed graph and |
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179 | /// suppose that a graph instange \c g of type |
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180 | /// \c ListGraph implements \f$G\f$. |
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181 | /// \code |
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182 | /// ListGraph g; |
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183 | /// \endcode |
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184 | /// For each directed edge |
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185 | /// \f$e\in A\f$, let \f$\bar e\f$ denote the edge obtained by |
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186 | /// reversing its orientation. |
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187 | /// Then RevGraphAdaptor implements the graph structure with node-set |
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188 | /// \f$V\f$ and edge-set |
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189 | /// \f$\{\bar e : e\in A \}\f$, i.e. the graph obtained from \f$G\f$ be |
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190 | /// reversing the orientation of its edges. The following code shows how |
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191 | /// such an instance can be constructed. |
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192 | /// \code |
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193 | /// RevGraphAdaptor<ListGraph> gw(g); |
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194 | /// \endcode |
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195 | ///\author Marton Makai |
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196 | template<typename _Graph> |
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197 | class RevGraphAdaptor : |
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198 | public IterableGraphExtender<RevGraphAdaptorBase<_Graph> > { |
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199 | public: |
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200 | typedef _Graph Graph; |
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201 | typedef IterableGraphExtender< |
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202 | RevGraphAdaptorBase<_Graph> > Parent; |
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203 | protected: |
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204 | RevGraphAdaptor() { } |
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205 | public: |
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206 | RevGraphAdaptor(_Graph& _graph) { setGraph(_graph); } |
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207 | }; |
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208 | |
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209 | |
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210 | template <typename _Graph, typename NodeFilterMap, typename EdgeFilterMap> |
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211 | class SubGraphAdaptorBase : public GraphAdaptorBase<_Graph> { |
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212 | public: |
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213 | typedef _Graph Graph; |
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214 | typedef GraphAdaptorBase<_Graph> Parent; |
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215 | protected: |
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216 | NodeFilterMap* node_filter_map; |
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217 | EdgeFilterMap* edge_filter_map; |
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218 | SubGraphAdaptorBase() : Parent(), |
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219 | node_filter_map(0), edge_filter_map(0) { } |
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220 | |
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221 | void setNodeFilterMap(NodeFilterMap& _node_filter_map) { |
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222 | node_filter_map=&_node_filter_map; |
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223 | } |
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224 | void setEdgeFilterMap(EdgeFilterMap& _edge_filter_map) { |
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225 | edge_filter_map=&_edge_filter_map; |
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226 | } |
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227 | |
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228 | public: |
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229 | // SubGraphAdaptorBase(Graph& _graph, |
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230 | // NodeFilterMap& _node_filter_map, |
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231 | // EdgeFilterMap& _edge_filter_map) : |
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232 | // Parent(&_graph), |
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233 | // node_filter_map(&node_filter_map), |
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234 | // edge_filter_map(&edge_filter_map) { } |
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235 | |
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236 | typedef typename Parent::Node Node; |
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237 | typedef typename Parent::Edge Edge; |
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238 | |
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239 | void first(Node& i) const { |
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240 | Parent::first(i); |
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241 | while (i!=INVALID && !(*node_filter_map)[i]) Parent::next(i); |
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242 | } |
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243 | void first(Edge& i) const { |
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244 | Parent::first(i); |
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245 | while (i!=INVALID && !(*edge_filter_map)[i]) Parent::next(i); |
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246 | } |
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247 | void firstIn(Edge& i, const Node& n) const { |
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248 | Parent::firstIn(i, n); |
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249 | while (i!=INVALID && !(*edge_filter_map)[i]) Parent::nextIn(i); |
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250 | } |
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251 | void firstOut(Edge& i, const Node& n) const { |
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252 | Parent::firstOut(i, n); |
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253 | while (i!=INVALID && !(*edge_filter_map)[i]) Parent::nextOut(i); |
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254 | } |
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255 | |
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256 | void next(Node& i) const { |
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257 | Parent::next(i); |
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258 | while (i!=INVALID && !(*node_filter_map)[i]) Parent::next(i); |
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259 | } |
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260 | void next(Edge& i) const { |
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261 | Parent::next(i); |
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262 | while (i!=INVALID && !(*edge_filter_map)[i]) Parent::next(i); |
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263 | } |
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264 | void nextIn(Edge& i) const { |
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265 | Parent::nextIn(i); |
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266 | while (i!=INVALID && !(*edge_filter_map)[i]) Parent::nextIn(i); |
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267 | } |
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268 | void nextOut(Edge& i) const { |
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269 | Parent::nextOut(i); |
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270 | while (i!=INVALID && !(*edge_filter_map)[i]) Parent::nextOut(i); |
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271 | } |
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272 | |
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273 | /// This function hides \c n in the graph, i.e. the iteration |
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274 | /// jumps over it. This is done by simply setting the value of \c n |
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275 | /// to be false in the corresponding node-map. |
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276 | void hide(const Node& n) const { node_filter_map->set(n, false); } |
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277 | |
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278 | /// This function hides \c e in the graph, i.e. the iteration |
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279 | /// jumps over it. This is done by simply setting the value of \c e |
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280 | /// to be false in the corresponding edge-map. |
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281 | void hide(const Edge& e) const { edge_filter_map->set(e, false); } |
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282 | |
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283 | /// The value of \c n is set to be true in the node-map which stores |
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284 | /// hide information. If \c n was hidden previuosly, then it is shown |
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285 | /// again |
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286 | void unHide(const Node& n) const { node_filter_map->set(n, true); } |
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287 | |
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288 | /// The value of \c e is set to be true in the edge-map which stores |
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289 | /// hide information. If \c e was hidden previuosly, then it is shown |
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290 | /// again |
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291 | void unHide(const Edge& e) const { edge_filter_map->set(e, true); } |
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292 | |
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293 | /// Returns true if \c n is hidden. |
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294 | bool hidden(const Node& n) const { return !(*node_filter_map)[n]; } |
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295 | |
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296 | /// Returns true if \c n is hidden. |
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297 | bool hidden(const Edge& e) const { return !(*edge_filter_map)[e]; } |
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298 | |
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299 | /// \warning This is a linear time operation and works only if s |
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300 | /// \c Graph::NodeIt is defined. |
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301 | /// \todo assign tags. |
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302 | int nodeNum() const { |
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303 | int i=0; |
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304 | Node n; |
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305 | for (first(n); n!=INVALID; next(n)) ++i; |
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306 | return i; |
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307 | } |
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308 | |
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309 | /// \warning This is a linear time operation and works only if |
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310 | /// \c Graph::EdgeIt is defined. |
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311 | /// \todo assign tags. |
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312 | int edgeNum() const { |
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313 | int i=0; |
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314 | Edge e; |
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315 | for (first(e); e!=INVALID; next(e)) ++i; |
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316 | return i; |
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317 | } |
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318 | |
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319 | |
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320 | }; |
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321 | |
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322 | /*! \brief A graph adaptor for hiding nodes and edges from a graph. |
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323 | |
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324 | \warning Graph adaptors are in even more experimental state than the other |
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325 | parts of the lib. Use them at you own risk. |
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326 | |
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327 | SubGraphAdaptor shows the graph with filtered node-set and |
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328 | edge-set. |
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329 | Let \f$G=(V, A)\f$ be a directed graph |
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330 | and suppose that the graph instance \c g of type ListGraph implements |
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331 | \f$G\f$. |
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332 | Let moreover \f$b_V\f$ and |
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333 | \f$b_A\f$ be bool-valued functions resp. on the node-set and edge-set. |
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334 | SubGraphAdaptor<...>::NodeIt iterates |
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335 | on the node-set \f$\{v\in V : b_V(v)=true\}\f$ and |
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336 | SubGraphAdaptor<...>::EdgeIt iterates |
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337 | on the edge-set \f$\{e\in A : b_A(e)=true\}\f$. Similarly, |
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338 | SubGraphAdaptor<...>::OutEdgeIt and SubGraphAdaptor<...>::InEdgeIt iterates |
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339 | only on edges leaving and entering a specific node which have true value. |
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340 | |
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341 | We have to note that this does not mean that an |
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342 | induced subgraph is obtained, the node-iterator cares only the filter |
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343 | on the node-set, and the edge-iterators care only the filter on the |
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344 | edge-set. |
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345 | \code |
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346 | typedef ListGraph Graph; |
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347 | Graph g; |
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348 | typedef Graph::Node Node; |
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349 | typedef Graph::Edge Edge; |
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350 | Node u=g.addNode(); //node of id 0 |
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351 | Node v=g.addNode(); //node of id 1 |
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352 | Node e=g.addEdge(u, v); //edge of id 0 |
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353 | Node f=g.addEdge(v, u); //edge of id 1 |
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354 | Graph::NodeMap<bool> nm(g, true); |
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355 | nm.set(u, false); |
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356 | Graph::EdgeMap<bool> em(g, true); |
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357 | em.set(e, false); |
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358 | typedef SubGraphAdaptor<Graph, Graph::NodeMap<bool>, Graph::EdgeMap<bool> > SubGW; |
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359 | SubGW gw(g, nm, em); |
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360 | for (SubGW::NodeIt n(gw); n!=INVALID; ++n) std::cout << g.id(n) << std::endl; |
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361 | std::cout << ":-)" << std::endl; |
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362 | for (SubGW::EdgeIt e(gw); e!=INVALID; ++e) std::cout << g.id(e) << std::endl; |
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363 | \endcode |
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364 | The output of the above code is the following. |
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365 | \code |
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366 | 1 |
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367 | :-) |
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368 | 1 |
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369 | \endcode |
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370 | Note that \c n is of type \c SubGW::NodeIt, but it can be converted to |
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371 | \c Graph::Node that is why \c g.id(n) can be applied. |
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372 | |
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373 | For other examples see also the documentation of NodeSubGraphAdaptor and |
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374 | EdgeSubGraphAdaptor. |
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375 | |
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376 | \author Marton Makai |
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377 | */ |
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378 | template<typename _Graph, typename NodeFilterMap, |
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379 | typename EdgeFilterMap> |
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380 | class SubGraphAdaptor : |
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381 | public IterableGraphExtender< |
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382 | SubGraphAdaptorBase<_Graph, NodeFilterMap, EdgeFilterMap> > { |
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383 | public: |
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384 | typedef _Graph Graph; |
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385 | typedef IterableGraphExtender< |
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386 | SubGraphAdaptorBase<_Graph, NodeFilterMap, EdgeFilterMap> > Parent; |
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387 | protected: |
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388 | SubGraphAdaptor() { } |
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389 | public: |
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390 | SubGraphAdaptor(_Graph& _graph, NodeFilterMap& _node_filter_map, |
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391 | EdgeFilterMap& _edge_filter_map) { |
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392 | setGraph(_graph); |
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393 | setNodeFilterMap(_node_filter_map); |
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394 | setEdgeFilterMap(_edge_filter_map); |
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395 | } |
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396 | }; |
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397 | |
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398 | |
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399 | |
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400 | /*! \brief An adaptor for hiding nodes from a graph. |
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401 | |
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402 | \warning Graph adaptors are in even more experimental state than the other |
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403 | parts of the lib. Use them at you own risk. |
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404 | |
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405 | An adaptor for hiding nodes from a graph. |
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406 | This adaptor specializes SubGraphAdaptor in the way that only the node-set |
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407 | can be filtered. Note that this does not mean of considering induced |
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408 | subgraph, the edge-iterators consider the original edge-set. |
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409 | \author Marton Makai |
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410 | */ |
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411 | template<typename Graph, typename NodeFilterMap> |
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412 | class NodeSubGraphAdaptor : |
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413 | public SubGraphAdaptor<Graph, NodeFilterMap, |
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414 | ConstMap<typename Graph::Edge,bool> > { |
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415 | public: |
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416 | typedef SubGraphAdaptor<Graph, NodeFilterMap, |
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417 | ConstMap<typename Graph::Edge,bool> > Parent; |
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418 | protected: |
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419 | ConstMap<typename Graph::Edge, bool> const_true_map; |
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420 | public: |
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421 | NodeSubGraphAdaptor(Graph& _graph, NodeFilterMap& _node_filter_map) : |
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422 | Parent(), const_true_map(true) { |
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423 | Parent::setGraph(_graph); |
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424 | Parent::setNodeFilterMap(_node_filter_map); |
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425 | Parent::setEdgeFilterMap(const_true_map); |
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426 | } |
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427 | }; |
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428 | |
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429 | |
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430 | /*! \brief An adaptor for hiding edges from a graph. |
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431 | |
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432 | \warning Graph adaptors are in even more experimental state than the other |
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433 | parts of the lib. Use them at you own risk. |
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434 | |
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435 | An adaptor for hiding edges from a graph. |
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436 | This adaptor specializes SubGraphAdaptor in the way that only the edge-set |
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437 | can be filtered. The usefulness of this adaptor is demonstrated in the |
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438 | problem of searching a maximum number of edge-disjoint shortest paths |
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439 | between |
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440 | two nodes \c s and \c t. Shortest here means being shortest w.r.t. |
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441 | non-negative edge-lengths. Note that |
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442 | the comprehension of the presented solution |
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443 | need's some elementary knowledge from combinatorial optimization. |
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444 | |
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445 | If a single shortest path is to be |
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446 | searched between \c s and \c t, then this can be done easily by |
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447 | applying the Dijkstra algorithm. What happens, if a maximum number of |
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448 | edge-disjoint shortest paths is to be computed. It can be proved that an |
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449 | edge can be in a shortest path if and only if it is tight with respect to |
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450 | the potential function computed by Dijkstra. Moreover, any path containing |
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451 | only such edges is a shortest one. Thus we have to compute a maximum number |
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452 | of edge-disjoint paths between \c s and \c t in the graph which has edge-set |
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453 | all the tight edges. The computation will be demonstrated on the following |
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454 | graph, which is read from the dimacs file \ref sub_graph_adaptor_demo.dim. |
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455 | The full source code is available in \ref sub_graph_adaptor_demo.cc. |
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456 | If you are interested in more demo programs, you can use |
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457 | \ref dim_to_dot.cc to generate .dot files from dimacs files. |
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458 | The .dot file of the following figure of was generated generated by |
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459 | the demo program \ref dim_to_dot.cc. |
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460 | |
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461 | \dot |
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462 | digraph lemon_dot_example { |
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463 | node [ shape=ellipse, fontname=Helvetica, fontsize=10 ]; |
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464 | n0 [ label="0 (s)" ]; |
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465 | n1 [ label="1" ]; |
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466 | n2 [ label="2" ]; |
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467 | n3 [ label="3" ]; |
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468 | n4 [ label="4" ]; |
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469 | n5 [ label="5" ]; |
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470 | n6 [ label="6 (t)" ]; |
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471 | edge [ shape=ellipse, fontname=Helvetica, fontsize=10 ]; |
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472 | n5 -> n6 [ label="9, length:4" ]; |
---|
473 | n4 -> n6 [ label="8, length:2" ]; |
---|
474 | n3 -> n5 [ label="7, length:1" ]; |
---|
475 | n2 -> n5 [ label="6, length:3" ]; |
---|
476 | n2 -> n6 [ label="5, length:5" ]; |
---|
477 | n2 -> n4 [ label="4, length:2" ]; |
---|
478 | n1 -> n4 [ label="3, length:3" ]; |
---|
479 | n0 -> n3 [ label="2, length:1" ]; |
---|
480 | n0 -> n2 [ label="1, length:2" ]; |
---|
481 | n0 -> n1 [ label="0, length:3" ]; |
---|
482 | } |
---|
483 | \enddot |
---|
484 | |
---|
485 | \code |
---|
486 | Graph g; |
---|
487 | Node s, t; |
---|
488 | LengthMap length(g); |
---|
489 | |
---|
490 | readDimacs(std::cin, g, length, s, t); |
---|
491 | |
---|
492 | cout << "edges with lengths (of form id, source--length->target): " << endl; |
---|
493 | for(EdgeIt e(g); e!=INVALID; ++e) |
---|
494 | cout << g.id(e) << ", " << g.id(g.source(e)) << "--" |
---|
495 | << length[e] << "->" << g.id(g.target(e)) << endl; |
---|
496 | |
---|
497 | cout << "s: " << g.id(s) << " t: " << g.id(t) << endl; |
---|
498 | \endcode |
---|
499 | Next, the potential function is computed with Dijkstra. |
---|
500 | \code |
---|
501 | typedef Dijkstra<Graph, LengthMap> Dijkstra; |
---|
502 | Dijkstra dijkstra(g, length); |
---|
503 | dijkstra.run(s); |
---|
504 | \endcode |
---|
505 | Next, we consrtruct a map which filters the edge-set to the tight edges. |
---|
506 | \code |
---|
507 | typedef TightEdgeFilterMap<Graph, const Dijkstra::DistMap, LengthMap> |
---|
508 | TightEdgeFilter; |
---|
509 | TightEdgeFilter tight_edge_filter(g, dijkstra.distMap(), length); |
---|
510 | |
---|
511 | typedef EdgeSubGraphAdaptor<Graph, TightEdgeFilter> SubGW; |
---|
512 | SubGW gw(g, tight_edge_filter); |
---|
513 | \endcode |
---|
514 | Then, the maximum nimber of edge-disjoint \c s-\c t paths are computed |
---|
515 | with a max flow algorithm Preflow. |
---|
516 | \code |
---|
517 | ConstMap<Edge, int> const_1_map(1); |
---|
518 | Graph::EdgeMap<int> flow(g, 0); |
---|
519 | |
---|
520 | Preflow<SubGW, int, ConstMap<Edge, int>, Graph::EdgeMap<int> > |
---|
521 | preflow(gw, s, t, const_1_map, flow); |
---|
522 | preflow.run(); |
---|
523 | \endcode |
---|
524 | Last, the output is: |
---|
525 | \code |
---|
526 | cout << "maximum number of edge-disjoint shortest path: " |
---|
527 | << preflow.flowValue() << endl; |
---|
528 | cout << "edges of the maximum number of edge-disjoint shortest s-t paths: " |
---|
529 | << endl; |
---|
530 | for(EdgeIt e(g); e!=INVALID; ++e) |
---|
531 | if (flow[e]) |
---|
532 | cout << " " << g.id(g.source(e)) << "--" |
---|
533 | << length[e] << "->" << g.id(g.target(e)) << endl; |
---|
534 | \endcode |
---|
535 | The program has the following (expected :-)) output: |
---|
536 | \code |
---|
537 | edges with lengths (of form id, source--length->target): |
---|
538 | 9, 5--4->6 |
---|
539 | 8, 4--2->6 |
---|
540 | 7, 3--1->5 |
---|
541 | 6, 2--3->5 |
---|
542 | 5, 2--5->6 |
---|
543 | 4, 2--2->4 |
---|
544 | 3, 1--3->4 |
---|
545 | 2, 0--1->3 |
---|
546 | 1, 0--2->2 |
---|
547 | 0, 0--3->1 |
---|
548 | s: 0 t: 6 |
---|
549 | maximum number of edge-disjoint shortest path: 2 |
---|
550 | edges of the maximum number of edge-disjoint shortest s-t paths: |
---|
551 | 9, 5--4->6 |
---|
552 | 8, 4--2->6 |
---|
553 | 7, 3--1->5 |
---|
554 | 4, 2--2->4 |
---|
555 | 2, 0--1->3 |
---|
556 | 1, 0--2->2 |
---|
557 | \endcode |
---|
558 | |
---|
559 | \author Marton Makai |
---|
560 | */ |
---|
561 | template<typename Graph, typename EdgeFilterMap> |
---|
562 | class EdgeSubGraphAdaptor : |
---|
563 | public SubGraphAdaptor<Graph, ConstMap<typename Graph::Node,bool>, |
---|
564 | EdgeFilterMap> { |
---|
565 | public: |
---|
566 | typedef SubGraphAdaptor<Graph, ConstMap<typename Graph::Node,bool>, |
---|
567 | EdgeFilterMap> Parent; |
---|
568 | protected: |
---|
569 | ConstMap<typename Graph::Node, bool> const_true_map; |
---|
570 | public: |
---|
571 | EdgeSubGraphAdaptor(Graph& _graph, EdgeFilterMap& _edge_filter_map) : |
---|
572 | Parent(), const_true_map(true) { |
---|
573 | Parent::setGraph(_graph); |
---|
574 | Parent::setNodeFilterMap(const_true_map); |
---|
575 | Parent::setEdgeFilterMap(_edge_filter_map); |
---|
576 | } |
---|
577 | }; |
---|
578 | |
---|
579 | template <typename _Graph> |
---|
580 | class UndirGraphAdaptorBase : |
---|
581 | public UndirGraphExtender<GraphAdaptorBase<_Graph> > { |
---|
582 | public: |
---|
583 | typedef _Graph Graph; |
---|
584 | typedef UndirGraphExtender<GraphAdaptorBase<_Graph> > Parent; |
---|
585 | protected: |
---|
586 | UndirGraphAdaptorBase() : Parent() { } |
---|
587 | public: |
---|
588 | typedef typename Parent::UndirEdge UndirEdge; |
---|
589 | typedef typename Parent::Edge Edge; |
---|
590 | |
---|
591 | /// \bug Why cant an edge say that it is forward or not??? |
---|
592 | /// By this, a pointer to the graph have to be stored |
---|
593 | /// The implementation |
---|
594 | template <typename T> |
---|
595 | class EdgeMap { |
---|
596 | protected: |
---|
597 | const UndirGraphAdaptorBase<_Graph>* g; |
---|
598 | template <typename TT> friend class EdgeMap; |
---|
599 | typename _Graph::template EdgeMap<T> forward_map, backward_map; |
---|
600 | public: |
---|
601 | typedef T Value; |
---|
602 | typedef Edge Key; |
---|
603 | |
---|
604 | EdgeMap(const UndirGraphAdaptorBase<_Graph>& _g) : g(&_g), |
---|
605 | forward_map(*(g->graph)), backward_map(*(g->graph)) { } |
---|
606 | |
---|
607 | EdgeMap(const UndirGraphAdaptorBase<_Graph>& _g, T a) : g(&_g), |
---|
608 | forward_map(*(g->graph), a), backward_map(*(g->graph), a) { } |
---|
609 | |
---|
610 | void set(Edge e, T a) { |
---|
611 | if (g->forward(e)) |
---|
612 | forward_map.set(e, a); |
---|
613 | else |
---|
614 | backward_map.set(e, a); |
---|
615 | } |
---|
616 | |
---|
617 | T operator[](Edge e) const { |
---|
618 | if (g->forward(e)) |
---|
619 | return forward_map[e]; |
---|
620 | else |
---|
621 | return backward_map[e]; |
---|
622 | } |
---|
623 | }; |
---|
624 | |
---|
625 | template <typename T> |
---|
626 | class UndirEdgeMap { |
---|
627 | template <typename TT> friend class UndirEdgeMap; |
---|
628 | typename _Graph::template EdgeMap<T> map; |
---|
629 | public: |
---|
630 | typedef T Value; |
---|
631 | typedef UndirEdge Key; |
---|
632 | |
---|
633 | UndirEdgeMap(const UndirGraphAdaptorBase<_Graph>& g) : |
---|
634 | map(*(g.graph)) { } |
---|
635 | |
---|
636 | UndirEdgeMap(const UndirGraphAdaptorBase<_Graph>& g, T a) : |
---|
637 | map(*(g.graph), a) { } |
---|
638 | |
---|
639 | void set(UndirEdge e, T a) { |
---|
640 | map.set(e, a); |
---|
641 | } |
---|
642 | |
---|
643 | T operator[](UndirEdge e) const { |
---|
644 | return map[e]; |
---|
645 | } |
---|
646 | }; |
---|
647 | |
---|
648 | }; |
---|
649 | |
---|
650 | /// \brief An undirected graph is made from a directed graph by an adaptor |
---|
651 | /// |
---|
652 | /// Undocumented, untested!!! |
---|
653 | /// If somebody knows nice demo application, let's polulate it. |
---|
654 | /// |
---|
655 | /// \author Marton Makai |
---|
656 | template<typename _Graph> |
---|
657 | class UndirGraphAdaptor : |
---|
658 | public IterableUndirGraphExtender< |
---|
659 | UndirGraphAdaptorBase<_Graph> > { |
---|
660 | public: |
---|
661 | typedef _Graph Graph; |
---|
662 | typedef IterableUndirGraphExtender< |
---|
663 | UndirGraphAdaptorBase<_Graph> > Parent; |
---|
664 | protected: |
---|
665 | UndirGraphAdaptor() { } |
---|
666 | public: |
---|
667 | UndirGraphAdaptor(_Graph& _graph) { |
---|
668 | setGraph(_graph); |
---|
669 | } |
---|
670 | }; |
---|
671 | |
---|
672 | |
---|
673 | template <typename _Graph, |
---|
674 | typename ForwardFilterMap, typename BackwardFilterMap> |
---|
675 | class SubBidirGraphAdaptorBase : public GraphAdaptorBase<_Graph> { |
---|
676 | public: |
---|
677 | typedef _Graph Graph; |
---|
678 | typedef GraphAdaptorBase<_Graph> Parent; |
---|
679 | protected: |
---|
680 | ForwardFilterMap* forward_filter; |
---|
681 | BackwardFilterMap* backward_filter; |
---|
682 | SubBidirGraphAdaptorBase() : Parent(), |
---|
683 | forward_filter(0), backward_filter(0) { } |
---|
684 | |
---|
685 | void setForwardFilterMap(ForwardFilterMap& _forward_filter) { |
---|
686 | forward_filter=&_forward_filter; |
---|
687 | } |
---|
688 | void setBackwardFilterMap(BackwardFilterMap& _backward_filter) { |
---|
689 | backward_filter=&_backward_filter; |
---|
690 | } |
---|
691 | |
---|
692 | public: |
---|
693 | // SubGraphAdaptorBase(Graph& _graph, |
---|
694 | // NodeFilterMap& _node_filter_map, |
---|
695 | // EdgeFilterMap& _edge_filter_map) : |
---|
696 | // Parent(&_graph), |
---|
697 | // node_filter_map(&node_filter_map), |
---|
698 | // edge_filter_map(&edge_filter_map) { } |
---|
699 | |
---|
700 | typedef typename Parent::Node Node; |
---|
701 | typedef typename _Graph::Edge GraphEdge; |
---|
702 | template <typename T> class EdgeMap; |
---|
703 | /// SubBidirGraphAdaptorBase<..., ..., ...>::Edge is inherited from |
---|
704 | /// _Graph::Edge. It contains an extra bool flag which is true |
---|
705 | /// if and only if the |
---|
706 | /// edge is the backward version of the original edge. |
---|
707 | class Edge : public _Graph::Edge { |
---|
708 | friend class SubBidirGraphAdaptorBase< |
---|
709 | Graph, ForwardFilterMap, BackwardFilterMap>; |
---|
710 | template<typename T> friend class EdgeMap; |
---|
711 | protected: |
---|
712 | bool backward; //true, iff backward |
---|
713 | public: |
---|
714 | Edge() { } |
---|
715 | /// \todo =false is needed, or causes problems? |
---|
716 | /// If \c _backward is false, then we get an edge corresponding to the |
---|
717 | /// original one, otherwise its oppositely directed pair is obtained. |
---|
718 | Edge(const typename _Graph::Edge& e, bool _backward/*=false*/) : |
---|
719 | _Graph::Edge(e), backward(_backward) { } |
---|
720 | Edge(Invalid i) : _Graph::Edge(i), backward(true) { } |
---|
721 | bool operator==(const Edge& v) const { |
---|
722 | return (this->backward==v.backward && |
---|
723 | static_cast<typename _Graph::Edge>(*this)== |
---|
724 | static_cast<typename _Graph::Edge>(v)); |
---|
725 | } |
---|
726 | bool operator!=(const Edge& v) const { |
---|
727 | return (this->backward!=v.backward || |
---|
728 | static_cast<typename _Graph::Edge>(*this)!= |
---|
729 | static_cast<typename _Graph::Edge>(v)); |
---|
730 | } |
---|
731 | }; |
---|
732 | |
---|
733 | void first(Node& i) const { |
---|
734 | Parent::first(i); |
---|
735 | } |
---|
736 | |
---|
737 | void first(Edge& i) const { |
---|
738 | Parent::first(i); |
---|
739 | i.backward=false; |
---|
740 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
741 | !(*forward_filter)[i]) Parent::next(i); |
---|
742 | if (*static_cast<GraphEdge*>(&i)==INVALID) { |
---|
743 | Parent::first(i); |
---|
744 | i.backward=true; |
---|
745 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
746 | !(*backward_filter)[i]) Parent::next(i); |
---|
747 | } |
---|
748 | } |
---|
749 | |
---|
750 | void firstIn(Edge& i, const Node& n) const { |
---|
751 | Parent::firstIn(i, n); |
---|
752 | i.backward=false; |
---|
753 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
754 | !(*forward_filter)[i]) Parent::nextIn(i); |
---|
755 | if (*static_cast<GraphEdge*>(&i)==INVALID) { |
---|
756 | Parent::firstOut(i, n); |
---|
757 | i.backward=true; |
---|
758 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
759 | !(*backward_filter)[i]) Parent::nextOut(i); |
---|
760 | } |
---|
761 | } |
---|
762 | |
---|
763 | void firstOut(Edge& i, const Node& n) const { |
---|
764 | Parent::firstOut(i, n); |
---|
765 | i.backward=false; |
---|
766 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
767 | !(*forward_filter)[i]) Parent::nextOut(i); |
---|
768 | if (*static_cast<GraphEdge*>(&i)==INVALID) { |
---|
769 | Parent::firstIn(i, n); |
---|
770 | i.backward=true; |
---|
771 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
772 | !(*backward_filter)[i]) Parent::nextIn(i); |
---|
773 | } |
---|
774 | } |
---|
775 | |
---|
776 | void next(Node& i) const { |
---|
777 | Parent::next(i); |
---|
778 | } |
---|
779 | |
---|
780 | void next(Edge& i) const { |
---|
781 | if (!(i.backward)) { |
---|
782 | Parent::next(i); |
---|
783 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
784 | !(*forward_filter)[i]) Parent::next(i); |
---|
785 | if (*static_cast<GraphEdge*>(&i)==INVALID) { |
---|
786 | Parent::first(i); |
---|
787 | i.backward=true; |
---|
788 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
789 | !(*backward_filter)[i]) Parent::next(i); |
---|
790 | } |
---|
791 | } else { |
---|
792 | Parent::next(i); |
---|
793 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
794 | !(*backward_filter)[i]) Parent::next(i); |
---|
795 | } |
---|
796 | } |
---|
797 | |
---|
798 | void nextIn(Edge& i) const { |
---|
799 | if (!(i.backward)) { |
---|
800 | Node n=Parent::target(i); |
---|
801 | Parent::nextIn(i); |
---|
802 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
803 | !(*forward_filter)[i]) Parent::nextIn(i); |
---|
804 | if (*static_cast<GraphEdge*>(&i)==INVALID) { |
---|
805 | Parent::firstOut(i, n); |
---|
806 | i.backward=true; |
---|
807 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
808 | !(*backward_filter)[i]) Parent::nextOut(i); |
---|
809 | } |
---|
810 | } else { |
---|
811 | Parent::nextOut(i); |
---|
812 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
813 | !(*backward_filter)[i]) Parent::nextOut(i); |
---|
814 | } |
---|
815 | } |
---|
816 | |
---|
817 | void nextOut(Edge& i) const { |
---|
818 | if (!(i.backward)) { |
---|
819 | Node n=Parent::source(i); |
---|
820 | Parent::nextOut(i); |
---|
821 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
822 | !(*forward_filter)[i]) Parent::nextOut(i); |
---|
823 | if (*static_cast<GraphEdge*>(&i)==INVALID) { |
---|
824 | Parent::firstIn(i, n); |
---|
825 | i.backward=true; |
---|
826 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
827 | !(*backward_filter)[i]) Parent::nextIn(i); |
---|
828 | } |
---|
829 | } else { |
---|
830 | Parent::nextIn(i); |
---|
831 | while (*static_cast<GraphEdge*>(&i)!=INVALID && |
---|
832 | !(*backward_filter)[i]) Parent::nextIn(i); |
---|
833 | } |
---|
834 | } |
---|
835 | |
---|
836 | Node source(Edge e) const { |
---|
837 | return ((!e.backward) ? this->graph->source(e) : this->graph->target(e)); } |
---|
838 | Node target(Edge e) const { |
---|
839 | return ((!e.backward) ? this->graph->target(e) : this->graph->source(e)); } |
---|
840 | |
---|
841 | /// Gives back the opposite edge. |
---|
842 | Edge opposite(const Edge& e) const { |
---|
843 | Edge f=e; |
---|
844 | f.backward=!f.backward; |
---|
845 | return f; |
---|
846 | } |
---|
847 | |
---|
848 | /// \warning This is a linear time operation and works only if |
---|
849 | /// \c Graph::EdgeIt is defined. |
---|
850 | /// \todo hmm |
---|
851 | int edgeNum() const { |
---|
852 | int i=0; |
---|
853 | Edge e; |
---|
854 | for (first(e); e!=INVALID; next(e)) ++i; |
---|
855 | return i; |
---|
856 | } |
---|
857 | |
---|
858 | bool forward(const Edge& e) const { return !e.backward; } |
---|
859 | bool backward(const Edge& e) const { return e.backward; } |
---|
860 | |
---|
861 | template <typename T> |
---|
862 | /// \c SubBidirGraphAdaptorBase<..., ..., ...>::EdgeMap contains two |
---|
863 | /// _Graph::EdgeMap one for the forward edges and |
---|
864 | /// one for the backward edges. |
---|
865 | class EdgeMap { |
---|
866 | template <typename TT> friend class EdgeMap; |
---|
867 | typename _Graph::template EdgeMap<T> forward_map, backward_map; |
---|
868 | public: |
---|
869 | typedef T Value; |
---|
870 | typedef Edge Key; |
---|
871 | |
---|
872 | EdgeMap(const SubBidirGraphAdaptorBase<_Graph, |
---|
873 | ForwardFilterMap, BackwardFilterMap>& g) : |
---|
874 | forward_map(*(g.graph)), backward_map(*(g.graph)) { } |
---|
875 | |
---|
876 | EdgeMap(const SubBidirGraphAdaptorBase<_Graph, |
---|
877 | ForwardFilterMap, BackwardFilterMap>& g, T a) : |
---|
878 | forward_map(*(g.graph), a), backward_map(*(g.graph), a) { } |
---|
879 | |
---|
880 | void set(Edge e, T a) { |
---|
881 | if (!e.backward) |
---|
882 | forward_map.set(e, a); |
---|
883 | else |
---|
884 | backward_map.set(e, a); |
---|
885 | } |
---|
886 | |
---|
887 | // typename _Graph::template EdgeMap<T>::ConstReference |
---|
888 | // operator[](Edge e) const { |
---|
889 | // if (!e.backward) |
---|
890 | // return forward_map[e]; |
---|
891 | // else |
---|
892 | // return backward_map[e]; |
---|
893 | // } |
---|
894 | |
---|
895 | // typename _Graph::template EdgeMap<T>::Reference |
---|
896 | T operator[](Edge e) const { |
---|
897 | if (!e.backward) |
---|
898 | return forward_map[e]; |
---|
899 | else |
---|
900 | return backward_map[e]; |
---|
901 | } |
---|
902 | |
---|
903 | void update() { |
---|
904 | forward_map.update(); |
---|
905 | backward_map.update(); |
---|
906 | } |
---|
907 | }; |
---|
908 | |
---|
909 | }; |
---|
910 | |
---|
911 | |
---|
912 | ///\brief An adaptor for composing a subgraph of a |
---|
913 | /// bidirected graph made from a directed one. |
---|
914 | /// |
---|
915 | /// An adaptor for composing a subgraph of a |
---|
916 | /// bidirected graph made from a directed one. |
---|
917 | /// |
---|
918 | ///\warning Graph adaptors are in even more experimental state than the other |
---|
919 | ///parts of the lib. Use them at you own risk. |
---|
920 | /// |
---|
921 | /// Let \f$G=(V, A)\f$ be a directed graph and for each directed edge |
---|
922 | /// \f$e\in A\f$, let \f$\bar e\f$ denote the edge obtained by |
---|
923 | /// reversing its orientation. We are given moreover two bool valued |
---|
924 | /// maps on the edge-set, |
---|
925 | /// \f$forward\_filter\f$, and \f$backward\_filter\f$. |
---|
926 | /// SubBidirGraphAdaptor implements the graph structure with node-set |
---|
927 | /// \f$V\f$ and edge-set |
---|
928 | /// \f$\{e : e\in A \mbox{ and } forward\_filter(e) \mbox{ is true}\}+\{\bar e : e\in A \mbox{ and } backward\_filter(e) \mbox{ is true}\}\f$. |
---|
929 | /// The purpose of writing + instead of union is because parallel |
---|
930 | /// edges can arise. (Similarly, antiparallel edges also can arise). |
---|
931 | /// In other words, a subgraph of the bidirected graph obtained, which |
---|
932 | /// is given by orienting the edges of the original graph in both directions. |
---|
933 | /// As the oppositely directed edges are logically different, |
---|
934 | /// the maps are able to attach different values for them. |
---|
935 | /// |
---|
936 | /// An example for such a construction is \c RevGraphAdaptor where the |
---|
937 | /// forward_filter is everywhere false and the backward_filter is |
---|
938 | /// everywhere true. We note that for sake of efficiency, |
---|
939 | /// \c RevGraphAdaptor is implemented in a different way. |
---|
940 | /// But BidirGraphAdaptor is obtained from |
---|
941 | /// SubBidirGraphAdaptor by considering everywhere true |
---|
942 | /// valued maps both for forward_filter and backward_filter. |
---|
943 | /// |
---|
944 | /// The most important application of SubBidirGraphAdaptor |
---|
945 | /// is ResGraphAdaptor, which stands for the residual graph in directed |
---|
946 | /// flow and circulation problems. |
---|
947 | /// As adaptors usually, the SubBidirGraphAdaptor implements the |
---|
948 | /// above mentioned graph structure without its physical storage, |
---|
949 | /// that is the whole stuff is stored in constant memory. |
---|
950 | template<typename _Graph, |
---|
951 | typename ForwardFilterMap, typename BackwardFilterMap> |
---|
952 | class SubBidirGraphAdaptor : |
---|
953 | public IterableGraphExtender< |
---|
954 | SubBidirGraphAdaptorBase<_Graph, ForwardFilterMap, BackwardFilterMap> > { |
---|
955 | public: |
---|
956 | typedef _Graph Graph; |
---|
957 | typedef IterableGraphExtender< |
---|
958 | SubBidirGraphAdaptorBase< |
---|
959 | _Graph, ForwardFilterMap, BackwardFilterMap> > Parent; |
---|
960 | protected: |
---|
961 | SubBidirGraphAdaptor() { } |
---|
962 | public: |
---|
963 | SubBidirGraphAdaptor(_Graph& _graph, ForwardFilterMap& _forward_filter, |
---|
964 | BackwardFilterMap& _backward_filter) { |
---|
965 | setGraph(_graph); |
---|
966 | setForwardFilterMap(_forward_filter); |
---|
967 | setBackwardFilterMap(_backward_filter); |
---|
968 | } |
---|
969 | }; |
---|
970 | |
---|
971 | |
---|
972 | |
---|
973 | ///\brief An adaptor for composing bidirected graph from a directed one. |
---|
974 | /// |
---|
975 | ///\warning Graph adaptors are in even more experimental state than the other |
---|
976 | ///parts of the lib. Use them at you own risk. |
---|
977 | /// |
---|
978 | /// An adaptor for composing bidirected graph from a directed one. |
---|
979 | /// A bidirected graph is composed over the directed one without physical |
---|
980 | /// storage. As the oppositely directed edges are logically different ones |
---|
981 | /// the maps are able to attach different values for them. |
---|
982 | template<typename Graph> |
---|
983 | class BidirGraphAdaptor : |
---|
984 | public SubBidirGraphAdaptor< |
---|
985 | Graph, |
---|
986 | ConstMap<typename Graph::Edge, bool>, |
---|
987 | ConstMap<typename Graph::Edge, bool> > { |
---|
988 | public: |
---|
989 | typedef SubBidirGraphAdaptor< |
---|
990 | Graph, |
---|
991 | ConstMap<typename Graph::Edge, bool>, |
---|
992 | ConstMap<typename Graph::Edge, bool> > Parent; |
---|
993 | protected: |
---|
994 | ConstMap<typename Graph::Edge, bool> cm; |
---|
995 | |
---|
996 | BidirGraphAdaptor() : Parent(), cm(true) { |
---|
997 | Parent::setForwardFilterMap(cm); |
---|
998 | Parent::setBackwardFilterMap(cm); |
---|
999 | } |
---|
1000 | public: |
---|
1001 | BidirGraphAdaptor(Graph& _graph) : Parent(), cm(true) { |
---|
1002 | Parent::setGraph(_graph); |
---|
1003 | Parent::setForwardFilterMap(cm); |
---|
1004 | Parent::setBackwardFilterMap(cm); |
---|
1005 | } |
---|
1006 | |
---|
1007 | int edgeNum() const { |
---|
1008 | return 2*this->graph->edgeNum(); |
---|
1009 | } |
---|
1010 | // KEEP_MAPS(Parent, BidirGraphAdaptor); |
---|
1011 | }; |
---|
1012 | |
---|
1013 | |
---|
1014 | template<typename Graph, typename Number, |
---|
1015 | typename CapacityMap, typename FlowMap> |
---|
1016 | class ResForwardFilter { |
---|
1017 | // const Graph* graph; |
---|
1018 | const CapacityMap* capacity; |
---|
1019 | const FlowMap* flow; |
---|
1020 | public: |
---|
1021 | ResForwardFilter(/*const Graph& _graph, */ |
---|
1022 | const CapacityMap& _capacity, const FlowMap& _flow) : |
---|
1023 | /*graph(&_graph),*/ capacity(&_capacity), flow(&_flow) { } |
---|
1024 | ResForwardFilter() : /*graph(0),*/ capacity(0), flow(0) { } |
---|
1025 | void setCapacity(const CapacityMap& _capacity) { capacity=&_capacity; } |
---|
1026 | void setFlow(const FlowMap& _flow) { flow=&_flow; } |
---|
1027 | bool operator[](const typename Graph::Edge& e) const { |
---|
1028 | return (Number((*flow)[e]) < Number((*capacity)[e])); |
---|
1029 | } |
---|
1030 | }; |
---|
1031 | |
---|
1032 | template<typename Graph, typename Number, |
---|
1033 | typename CapacityMap, typename FlowMap> |
---|
1034 | class ResBackwardFilter { |
---|
1035 | const CapacityMap* capacity; |
---|
1036 | const FlowMap* flow; |
---|
1037 | public: |
---|
1038 | ResBackwardFilter(/*const Graph& _graph,*/ |
---|
1039 | const CapacityMap& _capacity, const FlowMap& _flow) : |
---|
1040 | /*graph(&_graph),*/ capacity(&_capacity), flow(&_flow) { } |
---|
1041 | ResBackwardFilter() : /*graph(0),*/ capacity(0), flow(0) { } |
---|
1042 | void setCapacity(const CapacityMap& _capacity) { capacity=&_capacity; } |
---|
1043 | void setFlow(const FlowMap& _flow) { flow=&_flow; } |
---|
1044 | bool operator[](const typename Graph::Edge& e) const { |
---|
1045 | return (Number(0) < Number((*flow)[e])); |
---|
1046 | } |
---|
1047 | }; |
---|
1048 | |
---|
1049 | |
---|
1050 | /*! \brief An adaptor for composing the residual graph for directed flow and circulation problems. |
---|
1051 | |
---|
1052 | An adaptor for composing the residual graph for directed flow and circulation problems. |
---|
1053 | Let \f$G=(V, A)\f$ be a directed graph and let \f$F\f$ be a |
---|
1054 | number type. Let moreover |
---|
1055 | \f$f,c:A\to F\f$, be functions on the edge-set. |
---|
1056 | In the appications of ResGraphAdaptor, \f$f\f$ usually stands for a flow |
---|
1057 | and \f$c\f$ for a capacity function. |
---|
1058 | Suppose that a graph instange \c g of type |
---|
1059 | \c ListGraph implements \f$G\f$. |
---|
1060 | \code |
---|
1061 | ListGraph g; |
---|
1062 | \endcode |
---|
1063 | Then RevGraphAdaptor implements the graph structure with node-set |
---|
1064 | \f$V\f$ and edge-set \f$A_{forward}\cup A_{backward}\f$, where |
---|
1065 | \f$A_{forward}=\{uv : uv\in A, f(uv)<c(uv)\}\f$ and |
---|
1066 | \f$A_{backward}=\{vu : uv\in A, f(uv)>0\}\f$, |
---|
1067 | i.e. the so called residual graph. |
---|
1068 | When we take the union \f$A_{forward}\cup A_{backward}\f$, |
---|
1069 | multilicities are counted, i.e. if an edge is in both |
---|
1070 | \f$A_{forward}\f$ and \f$A_{backward}\f$, then in the adaptor it |
---|
1071 | appears twice. |
---|
1072 | The following code shows how |
---|
1073 | such an instance can be constructed. |
---|
1074 | \code |
---|
1075 | typedef ListGraph Graph; |
---|
1076 | Graph::EdgeMap<int> f(g); |
---|
1077 | Graph::EdgeMap<int> c(g); |
---|
1078 | ResGraphAdaptor<Graph, int, Graph::EdgeMap<int>, Graph::EdgeMap<int> > gw(g); |
---|
1079 | \endcode |
---|
1080 | \author Marton Makai |
---|
1081 | */ |
---|
1082 | template<typename Graph, typename Number, |
---|
1083 | typename CapacityMap, typename FlowMap> |
---|
1084 | class ResGraphAdaptor : |
---|
1085 | public SubBidirGraphAdaptor< |
---|
1086 | Graph, |
---|
1087 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap>, |
---|
1088 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> > { |
---|
1089 | public: |
---|
1090 | typedef SubBidirGraphAdaptor< |
---|
1091 | Graph, |
---|
1092 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap>, |
---|
1093 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> > Parent; |
---|
1094 | protected: |
---|
1095 | const CapacityMap* capacity; |
---|
1096 | FlowMap* flow; |
---|
1097 | ResForwardFilter<Graph, Number, CapacityMap, FlowMap> forward_filter; |
---|
1098 | ResBackwardFilter<Graph, Number, CapacityMap, FlowMap> backward_filter; |
---|
1099 | ResGraphAdaptor() : Parent(), |
---|
1100 | capacity(0), flow(0) { } |
---|
1101 | void setCapacityMap(const CapacityMap& _capacity) { |
---|
1102 | capacity=&_capacity; |
---|
1103 | forward_filter.setCapacity(_capacity); |
---|
1104 | backward_filter.setCapacity(_capacity); |
---|
1105 | } |
---|
1106 | void setFlowMap(FlowMap& _flow) { |
---|
1107 | flow=&_flow; |
---|
1108 | forward_filter.setFlow(_flow); |
---|
1109 | backward_filter.setFlow(_flow); |
---|
1110 | } |
---|
1111 | public: |
---|
1112 | ResGraphAdaptor(Graph& _graph, const CapacityMap& _capacity, |
---|
1113 | FlowMap& _flow) : |
---|
1114 | Parent(), capacity(&_capacity), flow(&_flow), |
---|
1115 | forward_filter(/*_graph,*/ _capacity, _flow), |
---|
1116 | backward_filter(/*_graph,*/ _capacity, _flow) { |
---|
1117 | Parent::setGraph(_graph); |
---|
1118 | Parent::setForwardFilterMap(forward_filter); |
---|
1119 | Parent::setBackwardFilterMap(backward_filter); |
---|
1120 | } |
---|
1121 | |
---|
1122 | typedef typename Parent::Edge Edge; |
---|
1123 | |
---|
1124 | void augment(const Edge& e, Number a) const { |
---|
1125 | if (Parent::forward(e)) |
---|
1126 | flow->set(e, (*flow)[e]+a); |
---|
1127 | else |
---|
1128 | flow->set(e, (*flow)[e]-a); |
---|
1129 | } |
---|
1130 | |
---|
1131 | /// \brief Residual capacity map. |
---|
1132 | /// |
---|
1133 | /// In generic residual graphs the residual capacity can be obtained |
---|
1134 | /// as a map. |
---|
1135 | class ResCap { |
---|
1136 | protected: |
---|
1137 | const ResGraphAdaptor<Graph, Number, CapacityMap, FlowMap>* res_graph; |
---|
1138 | public: |
---|
1139 | typedef Number Value; |
---|
1140 | typedef Edge Key; |
---|
1141 | ResCap(const ResGraphAdaptor<Graph, Number, CapacityMap, FlowMap>& |
---|
1142 | _res_graph) : res_graph(&_res_graph) { } |
---|
1143 | Number operator[](const Edge& e) const { |
---|
1144 | if (res_graph->forward(e)) |
---|
1145 | return (*(res_graph->capacity))[e]-(*(res_graph->flow))[e]; |
---|
1146 | else |
---|
1147 | return (*(res_graph->flow))[e]; |
---|
1148 | } |
---|
1149 | }; |
---|
1150 | |
---|
1151 | // KEEP_MAPS(Parent, ResGraphAdaptor); |
---|
1152 | }; |
---|
1153 | |
---|
1154 | |
---|
1155 | |
---|
1156 | template <typename _Graph, typename FirstOutEdgesMap> |
---|
1157 | class ErasingFirstGraphAdaptorBase : public GraphAdaptorBase<_Graph> { |
---|
1158 | public: |
---|
1159 | typedef _Graph Graph; |
---|
1160 | typedef GraphAdaptorBase<_Graph> Parent; |
---|
1161 | protected: |
---|
1162 | FirstOutEdgesMap* first_out_edges; |
---|
1163 | ErasingFirstGraphAdaptorBase() : Parent(), |
---|
1164 | first_out_edges(0) { } |
---|
1165 | |
---|
1166 | void setFirstOutEdgesMap(FirstOutEdgesMap& _first_out_edges) { |
---|
1167 | first_out_edges=&_first_out_edges; |
---|
1168 | } |
---|
1169 | |
---|
1170 | public: |
---|
1171 | |
---|
1172 | typedef typename Parent::Node Node; |
---|
1173 | typedef typename Parent::Edge Edge; |
---|
1174 | |
---|
1175 | void firstOut(Edge& i, const Node& n) const { |
---|
1176 | i=(*first_out_edges)[n]; |
---|
1177 | } |
---|
1178 | |
---|
1179 | void erase(const Edge& e) const { |
---|
1180 | Node n=source(e); |
---|
1181 | Edge f=e; |
---|
1182 | Parent::nextOut(f); |
---|
1183 | first_out_edges->set(n, f); |
---|
1184 | } |
---|
1185 | }; |
---|
1186 | |
---|
1187 | |
---|
1188 | /// For blocking flows. |
---|
1189 | |
---|
1190 | ///\warning Graph adaptors are in even more experimental state than the other |
---|
1191 | ///parts of the lib. Use them at you own risk. |
---|
1192 | /// |
---|
1193 | /// This graph adaptor is used for on-the-fly |
---|
1194 | /// Dinits blocking flow computations. |
---|
1195 | /// For each node, an out-edge is stored which is used when the |
---|
1196 | /// \code |
---|
1197 | /// OutEdgeIt& first(OutEdgeIt&, const Node&) |
---|
1198 | /// \endcode |
---|
1199 | /// is called. |
---|
1200 | /// |
---|
1201 | /// \author Marton Makai |
---|
1202 | template <typename _Graph, typename FirstOutEdgesMap> |
---|
1203 | class ErasingFirstGraphAdaptor : |
---|
1204 | public IterableGraphExtender< |
---|
1205 | ErasingFirstGraphAdaptorBase<_Graph, FirstOutEdgesMap> > { |
---|
1206 | public: |
---|
1207 | typedef _Graph Graph; |
---|
1208 | typedef IterableGraphExtender< |
---|
1209 | ErasingFirstGraphAdaptorBase<_Graph, FirstOutEdgesMap> > Parent; |
---|
1210 | ErasingFirstGraphAdaptor(Graph& _graph, |
---|
1211 | FirstOutEdgesMap& _first_out_edges) { |
---|
1212 | setGraph(_graph); |
---|
1213 | setFirstOutEdgesMap(_first_out_edges); |
---|
1214 | } |
---|
1215 | |
---|
1216 | }; |
---|
1217 | |
---|
1218 | /// \e |
---|
1219 | template <typename _Graph> |
---|
1220 | class NewEdgeSetAdaptorBase { |
---|
1221 | public: |
---|
1222 | |
---|
1223 | typedef _Graph Graph; |
---|
1224 | typedef typename Graph::Node Node; |
---|
1225 | typedef typename Graph::NodeIt NodeIt; |
---|
1226 | |
---|
1227 | protected: |
---|
1228 | |
---|
1229 | struct NodeT { |
---|
1230 | int first_out, first_in; |
---|
1231 | NodeT() : first_out(-1), first_in(-1) {} |
---|
1232 | }; |
---|
1233 | |
---|
1234 | class NodesImpl : protected Graph::template NodeMap<NodeT> { |
---|
1235 | |
---|
1236 | typedef typename Graph::template NodeMap<NodeT> Parent; |
---|
1237 | typedef NewEdgeSetAdaptorBase<Graph> Adaptor; |
---|
1238 | |
---|
1239 | Adaptor& adaptor; |
---|
1240 | |
---|
1241 | public: |
---|
1242 | |
---|
1243 | NodesImpl(Adaptor& _adaptor, const Graph& _graph) |
---|
1244 | : Parent(_graph), adaptor(_adaptor) {} |
---|
1245 | |
---|
1246 | virtual ~NodesImpl() {} |
---|
1247 | |
---|
1248 | virtual void build() { |
---|
1249 | Parent::build(); |
---|
1250 | } |
---|
1251 | |
---|
1252 | virtual void clear() { |
---|
1253 | adaptor._clear(); |
---|
1254 | Parent::clear(); |
---|
1255 | } |
---|
1256 | |
---|
1257 | virtual void add(const Node& node) { |
---|
1258 | Parent::add(node); |
---|
1259 | adaptor._add(node); |
---|
1260 | } |
---|
1261 | |
---|
1262 | virtual void erase(const Node& node) { |
---|
1263 | adaptor._erase(node); |
---|
1264 | Parent::erase(node); |
---|
1265 | } |
---|
1266 | |
---|
1267 | NodeT& operator[](const Node& node) { |
---|
1268 | return Parent::operator[](node); |
---|
1269 | } |
---|
1270 | |
---|
1271 | const NodeT& operator[](const Node& node) const { |
---|
1272 | return Parent::operator[](node); |
---|
1273 | } |
---|
1274 | |
---|
1275 | }; |
---|
1276 | |
---|
1277 | NodesImpl* nodes; |
---|
1278 | |
---|
1279 | struct EdgeT { |
---|
1280 | Node source, target; |
---|
1281 | int next_out, next_in; |
---|
1282 | int prev_out, prev_in; |
---|
1283 | EdgeT() : prev_out(-1), prev_in(-1) {} |
---|
1284 | }; |
---|
1285 | |
---|
1286 | std::vector<EdgeT> edges; |
---|
1287 | |
---|
1288 | int first_edge; |
---|
1289 | int first_free_edge; |
---|
1290 | |
---|
1291 | virtual void _clear() = 0; |
---|
1292 | virtual void _add(const Node& node) = 0; |
---|
1293 | virtual void _erase(const Node& node) = 0; |
---|
1294 | |
---|
1295 | const Graph* graph; |
---|
1296 | |
---|
1297 | void initalize(const Graph& _graph, NodesImpl& _nodes) { |
---|
1298 | graph = &_graph; |
---|
1299 | nodes = &_nodes; |
---|
1300 | } |
---|
1301 | |
---|
1302 | public: |
---|
1303 | |
---|
1304 | class Edge { |
---|
1305 | friend class NewEdgeSetAdaptorBase<Graph>; |
---|
1306 | protected: |
---|
1307 | Edge(int _id) : id(_id) {} |
---|
1308 | int id; |
---|
1309 | public: |
---|
1310 | Edge() {} |
---|
1311 | Edge(Invalid) : id(-1) {} |
---|
1312 | bool operator==(const Edge& edge) const { return id == edge.id; } |
---|
1313 | bool operator!=(const Edge& edge) const { return id != edge.id; } |
---|
1314 | bool operator<(const Edge& edge) const { return id < edge.id; } |
---|
1315 | }; |
---|
1316 | |
---|
1317 | NewEdgeSetAdaptorBase() : first_edge(-1), first_free_edge(-1) {} |
---|
1318 | virtual ~NewEdgeSetAdaptorBase() {} |
---|
1319 | |
---|
1320 | Edge addEdge(const Node& source, const Node& target) { |
---|
1321 | int n; |
---|
1322 | if (first_free_edge == -1) { |
---|
1323 | n = edges.size(); |
---|
1324 | edges.push_back(EdgeT()); |
---|
1325 | } else { |
---|
1326 | n = first_free_edge; |
---|
1327 | first_free_edge = edges[first_free_edge].next_in; |
---|
1328 | } |
---|
1329 | edges[n].next_in = (*nodes)[target].first_in; |
---|
1330 | (*nodes)[target].first_in = n; |
---|
1331 | edges[n].next_out = (*nodes)[source].first_out; |
---|
1332 | (*nodes)[source].first_out = n; |
---|
1333 | edges[n].source = source; |
---|
1334 | edges[n].target = target; |
---|
1335 | return Edge(n); |
---|
1336 | } |
---|
1337 | |
---|
1338 | void erase(const Edge& edge) { |
---|
1339 | int n = edge.id; |
---|
1340 | if (edges[n].prev_in != -1) { |
---|
1341 | edges[edges[n].prev_in].next_in = edges[n].next_in; |
---|
1342 | } else { |
---|
1343 | (*nodes)[edges[n].target].first_in = edges[n].next_in; |
---|
1344 | } |
---|
1345 | if (edges[n].next_in != -1) { |
---|
1346 | edges[edges[n].next_in].prev_in = edges[n].prev_in; |
---|
1347 | } |
---|
1348 | |
---|
1349 | if (edges[n].prev_out != -1) { |
---|
1350 | edges[edges[n].prev_out].next_out = edges[n].next_out; |
---|
1351 | } else { |
---|
1352 | (*nodes)[edges[n].source].first_out = edges[n].next_out; |
---|
1353 | } |
---|
1354 | if (edges[n].next_out != -1) { |
---|
1355 | edges[edges[n].next_out].prev_out = edges[n].prev_out; |
---|
1356 | } |
---|
1357 | |
---|
1358 | } |
---|
1359 | |
---|
1360 | void first(Node& node) const { |
---|
1361 | graph->first(node); |
---|
1362 | } |
---|
1363 | |
---|
1364 | void next(Node& node) const { |
---|
1365 | graph->next(node); |
---|
1366 | } |
---|
1367 | |
---|
1368 | void first(Edge& edge) const { |
---|
1369 | Node node; |
---|
1370 | for (first(node); node != INVALID && (*nodes)[node].first_in == -1; |
---|
1371 | next(node)); |
---|
1372 | edge.id = (node == INVALID) ? -1 : (*nodes)[node].first_in; |
---|
1373 | } |
---|
1374 | |
---|
1375 | void next(Edge& edge) const { |
---|
1376 | if (edges[edge.id].next_in != -1) { |
---|
1377 | edge.id = edges[edge.id].next_in; |
---|
1378 | } else { |
---|
1379 | Node node = edges[edge.id].target; |
---|
1380 | for (next(node); node != INVALID && (*nodes)[node].first_in == -1; |
---|
1381 | next(node)); |
---|
1382 | edge.id = (node == INVALID) ? -1 : (*nodes)[node].first_in; |
---|
1383 | } |
---|
1384 | } |
---|
1385 | |
---|
1386 | void firstOut(Edge& edge, const Node& node) const { |
---|
1387 | edge.id = (*nodes)[node].first_out; |
---|
1388 | } |
---|
1389 | |
---|
1390 | void nextOut(Edge& edge) const { |
---|
1391 | edge.id = edges[edge.id].next_out; |
---|
1392 | } |
---|
1393 | |
---|
1394 | void firstIn(Edge& edge, const Node& node) const { |
---|
1395 | edge.id = (*nodes)[node].first_in; |
---|
1396 | } |
---|
1397 | |
---|
1398 | void nextIn(Edge& edge) const { |
---|
1399 | edge.id = edges[edge.id].next_in; |
---|
1400 | } |
---|
1401 | |
---|
1402 | int id(const Node& node) const { return graph->id(node); } |
---|
1403 | int id(const Edge& edge) const { return edge.id; } |
---|
1404 | |
---|
1405 | Node fromId(int id, Node) const { return graph->fromId(id, Node()); } |
---|
1406 | Edge fromId(int id, Edge) const { return Edge(id); } |
---|
1407 | |
---|
1408 | int maxId(Node) const { return graph->maxId(Node()); }; |
---|
1409 | int maxId(Edge) const { return edges.size() - 1; } |
---|
1410 | |
---|
1411 | Node source(const Edge& edge) const { return edges[edge.id].source;} |
---|
1412 | Node target(const Edge& edge) const { return edges[edge.id].target;} |
---|
1413 | |
---|
1414 | }; |
---|
1415 | |
---|
1416 | template <typename _Graph> |
---|
1417 | class NewEdgeSetAdaptor : |
---|
1418 | public ErasableGraphExtender< |
---|
1419 | ClearableGraphExtender< |
---|
1420 | ExtendableGraphExtender< |
---|
1421 | DefaultMappableGraphExtender< |
---|
1422 | IterableGraphExtender< |
---|
1423 | AlterableGraphExtender< |
---|
1424 | NewEdgeSetAdaptorBase<_Graph> > > > > > > { |
---|
1425 | |
---|
1426 | public: |
---|
1427 | |
---|
1428 | typedef ErasableGraphExtender< |
---|
1429 | ClearableGraphExtender< |
---|
1430 | ExtendableGraphExtender< |
---|
1431 | DefaultMappableGraphExtender< |
---|
1432 | IterableGraphExtender< |
---|
1433 | AlterableGraphExtender< |
---|
1434 | NewEdgeSetAdaptorBase<_Graph> > > > > > > Parent; |
---|
1435 | |
---|
1436 | |
---|
1437 | typedef typename Parent::Node Node; |
---|
1438 | typedef typename Parent::Edge Edge; |
---|
1439 | |
---|
1440 | private: |
---|
1441 | |
---|
1442 | virtual void _clear() { |
---|
1443 | Parent::edges.clear(); |
---|
1444 | Parent::first_edge = -1; |
---|
1445 | Parent::first_free_edge = -1; |
---|
1446 | Parent::getNotifier(Edge()).clear(); |
---|
1447 | Parent::getNotifier(Node()).clear(); |
---|
1448 | } |
---|
1449 | |
---|
1450 | virtual void _add(const Node& node) { |
---|
1451 | Parent::getNotifier(Node()).add(node); |
---|
1452 | } |
---|
1453 | |
---|
1454 | virtual void _erase(const Node& node) { |
---|
1455 | Edge edge; |
---|
1456 | Parent::firstOut(edge, node); |
---|
1457 | while (edge != INVALID) { |
---|
1458 | Parent::erase(edge); |
---|
1459 | Parent::firstOut(edge, node); |
---|
1460 | } |
---|
1461 | |
---|
1462 | Parent::firstIn(edge, node); |
---|
1463 | while (edge != INVALID) { |
---|
1464 | Parent::erase(edge); |
---|
1465 | Parent::firstIn(edge, node); |
---|
1466 | } |
---|
1467 | |
---|
1468 | Parent::getNotifier(Node()).erase(node); |
---|
1469 | } |
---|
1470 | |
---|
1471 | |
---|
1472 | typedef typename Parent::NodesImpl NodesImpl; |
---|
1473 | |
---|
1474 | NodesImpl nodes; |
---|
1475 | |
---|
1476 | public: |
---|
1477 | |
---|
1478 | NewEdgeSetAdaptor(const _Graph& _graph) : nodes(*this, _graph) { |
---|
1479 | Parent::initalize(_graph, nodes); |
---|
1480 | } |
---|
1481 | |
---|
1482 | void clear() { |
---|
1483 | Parent::edges.clear(); |
---|
1484 | Parent::first_edge = -1; |
---|
1485 | Parent::first_free_edge = -1; |
---|
1486 | |
---|
1487 | Parent::getNotifier(Edge()).clear(); |
---|
1488 | } |
---|
1489 | |
---|
1490 | }; |
---|
1491 | |
---|
1492 | ///@} |
---|
1493 | |
---|
1494 | } //namespace lemon |
---|
1495 | |
---|
1496 | #endif //LEMON_GRAPH_ADAPTOR_H |
---|
1497 | |
---|