1 | /* -*- C++ -*- |
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2 | * |
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3 | * This file is a part of LEMON, a generic C++ optimization library |
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4 | * |
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5 | * Copyright (C) 2003-2008 |
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6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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8 | * |
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9 | * Permission to use, modify and distribute this software is granted |
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10 | * provided that this copyright notice appears in all copies. For |
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11 | * precise terms see the accompanying LICENSE file. |
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12 | * |
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13 | * This software is provided "AS IS" with no warranty of any kind, |
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14 | * express or implied, and with no claim as to its suitability for any |
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15 | * purpose. |
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16 | * |
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17 | */ |
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18 | |
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19 | #ifndef LEMON_DIGRAPH_ADAPTOR_H |
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20 | #define LEMON_DIGRAPH_ADAPTOR_H |
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21 | |
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22 | ///\ingroup graph_adaptors |
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23 | ///\file |
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24 | ///\brief Several digraph adaptors. |
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25 | /// |
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26 | ///This file contains several useful digraph adaptor functions. |
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27 | |
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28 | #include <lemon/core.h> |
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29 | #include <lemon/maps.h> |
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30 | #include <lemon/bits/variant.h> |
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31 | |
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32 | #include <lemon/bits/base_extender.h> |
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33 | #include <lemon/bits/graph_adaptor_extender.h> |
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34 | #include <lemon/bits/graph_extender.h> |
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35 | #include <lemon/tolerance.h> |
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36 | |
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37 | #include <algorithm> |
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38 | |
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39 | namespace lemon { |
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40 | |
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41 | ///\brief Base type for the Digraph Adaptors |
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42 | /// |
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43 | ///Base type for the Digraph Adaptors |
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44 | /// |
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45 | ///This is the base type for most of LEMON digraph adaptors. This |
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46 | ///class implements a trivial digraph adaptor i.e. it only wraps the |
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47 | ///functions and types of the digraph. The purpose of this class is |
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48 | ///to make easier implementing digraph adaptors. E.g. if an adaptor |
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49 | ///is considered which differs from the wrapped digraph only in some |
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50 | ///of its functions or types, then it can be derived from |
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51 | ///DigraphAdaptor, and only the differences should be implemented. |
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52 | template<typename _Digraph> |
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53 | class DigraphAdaptorBase { |
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54 | public: |
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55 | typedef _Digraph Digraph; |
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56 | typedef DigraphAdaptorBase Adaptor; |
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57 | typedef Digraph ParentDigraph; |
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58 | |
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59 | protected: |
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60 | Digraph* _digraph; |
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61 | DigraphAdaptorBase() : _digraph(0) { } |
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62 | void setDigraph(Digraph& digraph) { _digraph = &digraph; } |
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63 | |
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64 | public: |
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65 | DigraphAdaptorBase(Digraph& digraph) : _digraph(&digraph) { } |
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66 | |
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67 | typedef typename Digraph::Node Node; |
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68 | typedef typename Digraph::Arc Arc; |
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69 | |
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70 | void first(Node& i) const { _digraph->first(i); } |
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71 | void first(Arc& i) const { _digraph->first(i); } |
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72 | void firstIn(Arc& i, const Node& n) const { _digraph->firstIn(i, n); } |
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73 | void firstOut(Arc& i, const Node& n ) const { _digraph->firstOut(i, n); } |
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74 | |
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75 | void next(Node& i) const { _digraph->next(i); } |
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76 | void next(Arc& i) const { _digraph->next(i); } |
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77 | void nextIn(Arc& i) const { _digraph->nextIn(i); } |
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78 | void nextOut(Arc& i) const { _digraph->nextOut(i); } |
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79 | |
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80 | Node source(const Arc& a) const { return _digraph->source(a); } |
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81 | Node target(const Arc& a) const { return _digraph->target(a); } |
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82 | |
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83 | typedef NodeNumTagIndicator<Digraph> NodeNumTag; |
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84 | int nodeNum() const { return _digraph->nodeNum(); } |
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85 | |
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86 | typedef EdgeNumTagIndicator<Digraph> EdgeNumTag; |
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87 | int arcNum() const { return _digraph->arcNum(); } |
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88 | |
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89 | typedef FindEdgeTagIndicator<Digraph> FindEdgeTag; |
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90 | Arc findArc(const Node& u, const Node& v, const Arc& prev = INVALID) { |
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91 | return _digraph->findArc(u, v, prev); |
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92 | } |
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93 | |
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94 | Node addNode() { return _digraph->addNode(); } |
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95 | Arc addArc(const Node& u, const Node& v) { return _digraph->addArc(u, v); } |
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96 | |
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97 | void erase(const Node& n) const { _digraph->erase(n); } |
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98 | void erase(const Arc& a) const { _digraph->erase(a); } |
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99 | |
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100 | void clear() const { _digraph->clear(); } |
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101 | |
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102 | int id(const Node& n) const { return _digraph->id(n); } |
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103 | int id(const Arc& a) const { return _digraph->id(a); } |
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104 | |
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105 | Node nodeFromId(int ix) const { return _digraph->nodeFromId(ix); } |
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106 | Arc arcFromId(int ix) const { return _digraph->arcFromId(ix); } |
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107 | |
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108 | int maxNodeId() const { return _digraph->maxNodeId(); } |
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109 | int maxArcId() const { return _digraph->maxArcId(); } |
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110 | |
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111 | typedef typename ItemSetTraits<Digraph, Node>::ItemNotifier NodeNotifier; |
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112 | NodeNotifier& notifier(Node) const { return _digraph->notifier(Node()); } |
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113 | |
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114 | typedef typename ItemSetTraits<Digraph, Arc>::ItemNotifier ArcNotifier; |
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115 | ArcNotifier& notifier(Arc) const { return _digraph->notifier(Arc()); } |
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116 | |
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117 | template <typename _Value> |
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118 | class NodeMap : public Digraph::template NodeMap<_Value> { |
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119 | public: |
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120 | |
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121 | typedef typename Digraph::template NodeMap<_Value> Parent; |
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122 | |
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123 | explicit NodeMap(const Adaptor& adaptor) |
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124 | : Parent(*adaptor._digraph) {} |
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125 | |
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126 | NodeMap(const Adaptor& adaptor, const _Value& value) |
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127 | : Parent(*adaptor._digraph, value) { } |
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128 | |
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129 | private: |
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130 | NodeMap& operator=(const NodeMap& cmap) { |
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131 | return operator=<NodeMap>(cmap); |
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132 | } |
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133 | |
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134 | template <typename CMap> |
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135 | NodeMap& operator=(const CMap& cmap) { |
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136 | Parent::operator=(cmap); |
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137 | return *this; |
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138 | } |
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139 | |
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140 | }; |
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141 | |
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142 | template <typename _Value> |
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143 | class ArcMap : public Digraph::template ArcMap<_Value> { |
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144 | public: |
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145 | |
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146 | typedef typename Digraph::template ArcMap<_Value> Parent; |
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147 | |
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148 | explicit ArcMap(const Adaptor& adaptor) |
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149 | : Parent(*adaptor._digraph) {} |
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150 | |
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151 | ArcMap(const Adaptor& adaptor, const _Value& value) |
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152 | : Parent(*adaptor._digraph, value) {} |
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153 | |
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154 | private: |
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155 | ArcMap& operator=(const ArcMap& cmap) { |
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156 | return operator=<ArcMap>(cmap); |
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157 | } |
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158 | |
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159 | template <typename CMap> |
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160 | ArcMap& operator=(const CMap& cmap) { |
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161 | Parent::operator=(cmap); |
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162 | return *this; |
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163 | } |
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164 | |
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165 | }; |
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166 | |
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167 | }; |
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168 | |
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169 | ///\ingroup graph_adaptors |
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170 | /// |
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171 | ///\brief Trivial Digraph Adaptor |
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172 | /// |
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173 | /// This class is an adaptor which does not change the adapted |
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174 | /// digraph. It can be used only to test the digraph adaptors. |
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175 | template <typename _Digraph> |
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176 | class DigraphAdaptor : |
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177 | public DigraphAdaptorExtender<DigraphAdaptorBase<_Digraph> > { |
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178 | public: |
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179 | typedef _Digraph Digraph; |
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180 | typedef DigraphAdaptorExtender<DigraphAdaptorBase<_Digraph> > Parent; |
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181 | protected: |
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182 | DigraphAdaptor() : Parent() { } |
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183 | |
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184 | public: |
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185 | explicit DigraphAdaptor(Digraph& digraph) { setDigraph(digraph); } |
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186 | }; |
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187 | |
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188 | /// \brief Just gives back a digraph adaptor |
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189 | /// |
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190 | /// Just gives back a digraph adaptor which |
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191 | /// should be provide original digraph |
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192 | template<typename Digraph> |
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193 | DigraphAdaptor<const Digraph> |
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194 | digraphAdaptor(const Digraph& digraph) { |
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195 | return DigraphAdaptor<const Digraph>(digraph); |
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196 | } |
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197 | |
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198 | |
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199 | template <typename _Digraph> |
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200 | class RevDigraphAdaptorBase : public DigraphAdaptorBase<_Digraph> { |
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201 | public: |
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202 | typedef _Digraph Digraph; |
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203 | typedef DigraphAdaptorBase<_Digraph> Parent; |
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204 | protected: |
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205 | RevDigraphAdaptorBase() : Parent() { } |
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206 | public: |
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207 | typedef typename Parent::Node Node; |
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208 | typedef typename Parent::Arc Arc; |
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209 | |
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210 | void firstIn(Arc& a, const Node& n) const { Parent::firstOut(a, n); } |
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211 | void firstOut(Arc& a, const Node& n ) const { Parent::firstIn(a, n); } |
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212 | |
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213 | void nextIn(Arc& a) const { Parent::nextOut(a); } |
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214 | void nextOut(Arc& a) const { Parent::nextIn(a); } |
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215 | |
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216 | Node source(const Arc& a) const { return Parent::target(a); } |
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217 | Node target(const Arc& a) const { return Parent::source(a); } |
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218 | |
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219 | typedef FindEdgeTagIndicator<Digraph> FindEdgeTag; |
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220 | Arc findArc(const Node& u, const Node& v, |
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221 | const Arc& prev = INVALID) { |
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222 | return Parent::findArc(v, u, prev); |
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223 | } |
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224 | |
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225 | }; |
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226 | |
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227 | |
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228 | ///\ingroup graph_adaptors |
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229 | /// |
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230 | ///\brief A digraph adaptor which reverses the orientation of the arcs. |
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231 | /// |
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232 | /// If \c g is defined as |
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233 | ///\code |
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234 | /// ListDigraph g; |
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235 | ///\endcode |
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236 | /// then |
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237 | ///\code |
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238 | /// RevDigraphAdaptor<ListDigraph> ga(g); |
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239 | ///\endcode |
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240 | /// implements the digraph obtained from \c g by |
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241 | /// reversing the orientation of its arcs. |
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242 | /// |
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243 | /// A good example of using RevDigraphAdaptor is to decide that the |
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244 | /// directed graph is wheter strongly connected or not. If from one |
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245 | /// node each node is reachable and from each node is reachable this |
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246 | /// node then and just then the digraph is strongly |
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247 | /// connected. Instead of this condition we use a little bit |
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248 | /// different. From one node each node ahould be reachable in the |
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249 | /// digraph and in the reversed digraph. Now this condition can be |
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250 | /// checked with the Dfs algorithm class and the RevDigraphAdaptor |
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251 | /// algorithm class. |
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252 | /// |
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253 | /// And look at the code: |
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254 | /// |
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255 | ///\code |
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256 | /// bool stronglyConnected(const Digraph& digraph) { |
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257 | /// if (NodeIt(digraph) == INVALID) return true; |
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258 | /// Dfs<Digraph> dfs(digraph); |
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259 | /// dfs.run(NodeIt(digraph)); |
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260 | /// for (NodeIt it(digraph); it != INVALID; ++it) { |
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261 | /// if (!dfs.reached(it)) { |
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262 | /// return false; |
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263 | /// } |
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264 | /// } |
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265 | /// typedef RevDigraphAdaptor<const Digraph> RDigraph; |
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266 | /// RDigraph rdigraph(digraph); |
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267 | /// DfsVisit<RDigraph> rdfs(rdigraph); |
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268 | /// rdfs.run(NodeIt(digraph)); |
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269 | /// for (NodeIt it(digraph); it != INVALID; ++it) { |
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270 | /// if (!rdfs.reached(it)) { |
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271 | /// return false; |
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272 | /// } |
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273 | /// } |
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274 | /// return true; |
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275 | /// } |
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276 | ///\endcode |
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277 | template<typename _Digraph> |
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278 | class RevDigraphAdaptor : |
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279 | public DigraphAdaptorExtender<RevDigraphAdaptorBase<_Digraph> > { |
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280 | public: |
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281 | typedef _Digraph Digraph; |
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282 | typedef DigraphAdaptorExtender< |
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283 | RevDigraphAdaptorBase<_Digraph> > Parent; |
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284 | protected: |
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285 | RevDigraphAdaptor() { } |
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286 | public: |
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287 | explicit RevDigraphAdaptor(Digraph& digraph) { |
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288 | Parent::setDigraph(digraph); |
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289 | } |
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290 | }; |
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291 | |
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292 | /// \brief Just gives back a reverse digraph adaptor |
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293 | /// |
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294 | /// Just gives back a reverse digraph adaptor |
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295 | template<typename Digraph> |
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296 | RevDigraphAdaptor<const Digraph> |
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297 | revDigraphAdaptor(const Digraph& digraph) { |
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298 | return RevDigraphAdaptor<const Digraph>(digraph); |
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299 | } |
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300 | |
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301 | template <typename _Digraph, typename _NodeFilterMap, |
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302 | typename _ArcFilterMap, bool checked = true> |
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303 | class SubDigraphAdaptorBase : public DigraphAdaptorBase<_Digraph> { |
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304 | public: |
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305 | typedef _Digraph Digraph; |
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306 | typedef _NodeFilterMap NodeFilterMap; |
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307 | typedef _ArcFilterMap ArcFilterMap; |
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308 | |
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309 | typedef SubDigraphAdaptorBase Adaptor; |
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310 | typedef DigraphAdaptorBase<_Digraph> Parent; |
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311 | protected: |
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312 | NodeFilterMap* _node_filter; |
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313 | ArcFilterMap* _arc_filter; |
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314 | SubDigraphAdaptorBase() |
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315 | : Parent(), _node_filter(0), _arc_filter(0) { } |
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316 | |
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317 | void setNodeFilterMap(NodeFilterMap& node_filter) { |
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318 | _node_filter = &node_filter; |
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319 | } |
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320 | void setArcFilterMap(ArcFilterMap& arc_filter) { |
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321 | _arc_filter = &arc_filter; |
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322 | } |
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323 | |
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324 | public: |
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325 | |
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326 | typedef typename Parent::Node Node; |
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327 | typedef typename Parent::Arc Arc; |
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328 | |
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329 | void first(Node& i) const { |
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330 | Parent::first(i); |
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331 | while (i != INVALID && !(*_node_filter)[i]) Parent::next(i); |
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332 | } |
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333 | |
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334 | void first(Arc& i) const { |
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335 | Parent::first(i); |
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336 | while (i != INVALID && (!(*_arc_filter)[i] |
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337 | || !(*_node_filter)[Parent::source(i)] |
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338 | || !(*_node_filter)[Parent::target(i)])) Parent::next(i); |
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339 | } |
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340 | |
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341 | void firstIn(Arc& i, const Node& n) const { |
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342 | Parent::firstIn(i, n); |
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343 | while (i != INVALID && (!(*_arc_filter)[i] |
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344 | || !(*_node_filter)[Parent::source(i)])) Parent::nextIn(i); |
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345 | } |
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346 | |
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347 | void firstOut(Arc& i, const Node& n) const { |
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348 | Parent::firstOut(i, n); |
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349 | while (i != INVALID && (!(*_arc_filter)[i] |
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350 | || !(*_node_filter)[Parent::target(i)])) Parent::nextOut(i); |
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351 | } |
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352 | |
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353 | void next(Node& i) const { |
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354 | Parent::next(i); |
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355 | while (i != INVALID && !(*_node_filter)[i]) Parent::next(i); |
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356 | } |
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357 | |
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358 | void next(Arc& i) const { |
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359 | Parent::next(i); |
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360 | while (i != INVALID && (!(*_arc_filter)[i] |
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361 | || !(*_node_filter)[Parent::source(i)] |
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362 | || !(*_node_filter)[Parent::target(i)])) Parent::next(i); |
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363 | } |
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364 | |
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365 | void nextIn(Arc& i) const { |
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366 | Parent::nextIn(i); |
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367 | while (i != INVALID && (!(*_arc_filter)[i] |
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368 | || !(*_node_filter)[Parent::source(i)])) Parent::nextIn(i); |
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369 | } |
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370 | |
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371 | void nextOut(Arc& i) const { |
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372 | Parent::nextOut(i); |
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373 | while (i != INVALID && (!(*_arc_filter)[i] |
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374 | || !(*_node_filter)[Parent::target(i)])) Parent::nextOut(i); |
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375 | } |
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376 | |
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377 | ///\e |
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378 | |
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379 | /// This function hides \c n in the digraph, i.e. the iteration |
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380 | /// jumps over it. This is done by simply setting the value of \c n |
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381 | /// to be false in the corresponding node-map. |
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382 | void hide(const Node& n) const { _node_filter->set(n, false); } |
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383 | |
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384 | ///\e |
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385 | |
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386 | /// This function hides \c a in the digraph, i.e. the iteration |
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387 | /// jumps over it. This is done by simply setting the value of \c a |
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388 | /// to be false in the corresponding arc-map. |
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389 | void hide(const Arc& a) const { _arc_filter->set(a, false); } |
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390 | |
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391 | ///\e |
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392 | |
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393 | /// The value of \c n is set to be true in the node-map which stores |
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394 | /// hide information. If \c n was hidden previuosly, then it is shown |
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395 | /// again |
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396 | void unHide(const Node& n) const { _node_filter->set(n, true); } |
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397 | |
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398 | ///\e |
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399 | |
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400 | /// The value of \c a is set to be true in the arc-map which stores |
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401 | /// hide information. If \c a was hidden previuosly, then it is shown |
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402 | /// again |
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403 | void unHide(const Arc& a) const { _arc_filter->set(a, true); } |
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404 | |
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405 | /// Returns true if \c n is hidden. |
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406 | |
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407 | ///\e |
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408 | /// |
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409 | bool hidden(const Node& n) const { return !(*_node_filter)[n]; } |
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410 | |
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411 | /// Returns true if \c a is hidden. |
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412 | |
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413 | ///\e |
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414 | /// |
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415 | bool hidden(const Arc& a) const { return !(*_arc_filter)[a]; } |
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416 | |
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417 | typedef False NodeNumTag; |
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418 | typedef False EdgeNumTag; |
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419 | |
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420 | typedef FindEdgeTagIndicator<Digraph> FindEdgeTag; |
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421 | Arc findArc(const Node& source, const Node& target, |
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422 | const Arc& prev = INVALID) { |
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423 | if (!(*_node_filter)[source] || !(*_node_filter)[target]) { |
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424 | return INVALID; |
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425 | } |
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426 | Arc arc = Parent::findArc(source, target, prev); |
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427 | while (arc != INVALID && !(*_arc_filter)[arc]) { |
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428 | arc = Parent::findArc(source, target, arc); |
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429 | } |
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430 | return arc; |
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431 | } |
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432 | |
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433 | template <typename _Value> |
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434 | class NodeMap : public SubMapExtender<Adaptor, |
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435 | typename Parent::template NodeMap<_Value> > { |
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436 | public: |
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437 | typedef _Value Value; |
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438 | typedef SubMapExtender<Adaptor, typename Parent:: |
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439 | template NodeMap<Value> > MapParent; |
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440 | |
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441 | NodeMap(const Adaptor& adaptor) |
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442 | : MapParent(adaptor) {} |
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443 | NodeMap(const Adaptor& adaptor, const Value& value) |
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444 | : MapParent(adaptor, value) {} |
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445 | |
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446 | private: |
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447 | NodeMap& operator=(const NodeMap& cmap) { |
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448 | return operator=<NodeMap>(cmap); |
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449 | } |
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450 | |
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451 | template <typename CMap> |
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452 | NodeMap& operator=(const CMap& cmap) { |
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453 | MapParent::operator=(cmap); |
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454 | return *this; |
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455 | } |
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456 | }; |
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457 | |
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458 | template <typename _Value> |
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459 | class ArcMap : public SubMapExtender<Adaptor, |
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460 | typename Parent::template ArcMap<_Value> > { |
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461 | public: |
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462 | typedef _Value Value; |
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463 | typedef SubMapExtender<Adaptor, typename Parent:: |
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464 | template ArcMap<Value> > MapParent; |
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465 | |
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466 | ArcMap(const Adaptor& adaptor) |
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467 | : MapParent(adaptor) {} |
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468 | ArcMap(const Adaptor& adaptor, const Value& value) |
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469 | : MapParent(adaptor, value) {} |
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470 | |
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471 | private: |
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472 | ArcMap& operator=(const ArcMap& cmap) { |
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473 | return operator=<ArcMap>(cmap); |
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474 | } |
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475 | |
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476 | template <typename CMap> |
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477 | ArcMap& operator=(const CMap& cmap) { |
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478 | MapParent::operator=(cmap); |
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479 | return *this; |
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480 | } |
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481 | }; |
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482 | |
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483 | }; |
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484 | |
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485 | template <typename _Digraph, typename _NodeFilterMap, typename _ArcFilterMap> |
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486 | class SubDigraphAdaptorBase<_Digraph, _NodeFilterMap, _ArcFilterMap, false> |
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487 | : public DigraphAdaptorBase<_Digraph> { |
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488 | public: |
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489 | typedef _Digraph Digraph; |
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490 | typedef _NodeFilterMap NodeFilterMap; |
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491 | typedef _ArcFilterMap ArcFilterMap; |
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492 | |
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493 | typedef SubDigraphAdaptorBase Adaptor; |
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494 | typedef DigraphAdaptorBase<Digraph> Parent; |
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495 | protected: |
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496 | NodeFilterMap* _node_filter; |
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497 | ArcFilterMap* _arc_filter; |
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498 | SubDigraphAdaptorBase() |
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499 | : Parent(), _node_filter(0), _arc_filter(0) { } |
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500 | |
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501 | void setNodeFilterMap(NodeFilterMap& node_filter) { |
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502 | _node_filter = &node_filter; |
---|
503 | } |
---|
504 | void setArcFilterMap(ArcFilterMap& arc_filter) { |
---|
505 | _arc_filter = &arc_filter; |
---|
506 | } |
---|
507 | |
---|
508 | public: |
---|
509 | |
---|
510 | typedef typename Parent::Node Node; |
---|
511 | typedef typename Parent::Arc Arc; |
---|
512 | |
---|
513 | void first(Node& i) const { |
---|
514 | Parent::first(i); |
---|
515 | while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i); |
---|
516 | } |
---|
517 | |
---|
518 | void first(Arc& i) const { |
---|
519 | Parent::first(i); |
---|
520 | while (i!=INVALID && !(*_arc_filter)[i]) Parent::next(i); |
---|
521 | } |
---|
522 | |
---|
523 | void firstIn(Arc& i, const Node& n) const { |
---|
524 | Parent::firstIn(i, n); |
---|
525 | while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextIn(i); |
---|
526 | } |
---|
527 | |
---|
528 | void firstOut(Arc& i, const Node& n) const { |
---|
529 | Parent::firstOut(i, n); |
---|
530 | while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextOut(i); |
---|
531 | } |
---|
532 | |
---|
533 | void next(Node& i) const { |
---|
534 | Parent::next(i); |
---|
535 | while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i); |
---|
536 | } |
---|
537 | void next(Arc& i) const { |
---|
538 | Parent::next(i); |
---|
539 | while (i!=INVALID && !(*_arc_filter)[i]) Parent::next(i); |
---|
540 | } |
---|
541 | void nextIn(Arc& i) const { |
---|
542 | Parent::nextIn(i); |
---|
543 | while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextIn(i); |
---|
544 | } |
---|
545 | |
---|
546 | void nextOut(Arc& i) const { |
---|
547 | Parent::nextOut(i); |
---|
548 | while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextOut(i); |
---|
549 | } |
---|
550 | |
---|
551 | ///\e |
---|
552 | |
---|
553 | /// This function hides \c n in the digraph, i.e. the iteration |
---|
554 | /// jumps over it. This is done by simply setting the value of \c n |
---|
555 | /// to be false in the corresponding node-map. |
---|
556 | void hide(const Node& n) const { _node_filter->set(n, false); } |
---|
557 | |
---|
558 | ///\e |
---|
559 | |
---|
560 | /// This function hides \c e in the digraph, i.e. the iteration |
---|
561 | /// jumps over it. This is done by simply setting the value of \c e |
---|
562 | /// to be false in the corresponding arc-map. |
---|
563 | void hide(const Arc& e) const { _arc_filter->set(e, false); } |
---|
564 | |
---|
565 | ///\e |
---|
566 | |
---|
567 | /// The value of \c n is set to be true in the node-map which stores |
---|
568 | /// hide information. If \c n was hidden previuosly, then it is shown |
---|
569 | /// again |
---|
570 | void unHide(const Node& n) const { _node_filter->set(n, true); } |
---|
571 | |
---|
572 | ///\e |
---|
573 | |
---|
574 | /// The value of \c e is set to be true in the arc-map which stores |
---|
575 | /// hide information. If \c e was hidden previuosly, then it is shown |
---|
576 | /// again |
---|
577 | void unHide(const Arc& e) const { _arc_filter->set(e, true); } |
---|
578 | |
---|
579 | /// Returns true if \c n is hidden. |
---|
580 | |
---|
581 | ///\e |
---|
582 | /// |
---|
583 | bool hidden(const Node& n) const { return !(*_node_filter)[n]; } |
---|
584 | |
---|
585 | /// Returns true if \c n is hidden. |
---|
586 | |
---|
587 | ///\e |
---|
588 | /// |
---|
589 | bool hidden(const Arc& e) const { return !(*_arc_filter)[e]; } |
---|
590 | |
---|
591 | typedef False NodeNumTag; |
---|
592 | typedef False EdgeNumTag; |
---|
593 | |
---|
594 | typedef FindEdgeTagIndicator<Digraph> FindEdgeTag; |
---|
595 | Arc findArc(const Node& source, const Node& target, |
---|
596 | const Arc& prev = INVALID) { |
---|
597 | if (!(*_node_filter)[source] || !(*_node_filter)[target]) { |
---|
598 | return INVALID; |
---|
599 | } |
---|
600 | Arc arc = Parent::findArc(source, target, prev); |
---|
601 | while (arc != INVALID && !(*_arc_filter)[arc]) { |
---|
602 | arc = Parent::findArc(source, target, arc); |
---|
603 | } |
---|
604 | return arc; |
---|
605 | } |
---|
606 | |
---|
607 | template <typename _Value> |
---|
608 | class NodeMap : public SubMapExtender<Adaptor, |
---|
609 | typename Parent::template NodeMap<_Value> > { |
---|
610 | public: |
---|
611 | typedef _Value Value; |
---|
612 | typedef SubMapExtender<Adaptor, typename Parent:: |
---|
613 | template NodeMap<Value> > MapParent; |
---|
614 | |
---|
615 | NodeMap(const Adaptor& adaptor) |
---|
616 | : MapParent(adaptor) {} |
---|
617 | NodeMap(const Adaptor& adaptor, const Value& value) |
---|
618 | : MapParent(adaptor, value) {} |
---|
619 | |
---|
620 | private: |
---|
621 | NodeMap& operator=(const NodeMap& cmap) { |
---|
622 | return operator=<NodeMap>(cmap); |
---|
623 | } |
---|
624 | |
---|
625 | template <typename CMap> |
---|
626 | NodeMap& operator=(const CMap& cmap) { |
---|
627 | MapParent::operator=(cmap); |
---|
628 | return *this; |
---|
629 | } |
---|
630 | }; |
---|
631 | |
---|
632 | template <typename _Value> |
---|
633 | class ArcMap : public SubMapExtender<Adaptor, |
---|
634 | typename Parent::template ArcMap<_Value> > { |
---|
635 | public: |
---|
636 | typedef _Value Value; |
---|
637 | typedef SubMapExtender<Adaptor, typename Parent:: |
---|
638 | template ArcMap<Value> > MapParent; |
---|
639 | |
---|
640 | ArcMap(const Adaptor& adaptor) |
---|
641 | : MapParent(adaptor) {} |
---|
642 | ArcMap(const Adaptor& adaptor, const Value& value) |
---|
643 | : MapParent(adaptor, value) {} |
---|
644 | |
---|
645 | private: |
---|
646 | ArcMap& operator=(const ArcMap& cmap) { |
---|
647 | return operator=<ArcMap>(cmap); |
---|
648 | } |
---|
649 | |
---|
650 | template <typename CMap> |
---|
651 | ArcMap& operator=(const CMap& cmap) { |
---|
652 | MapParent::operator=(cmap); |
---|
653 | return *this; |
---|
654 | } |
---|
655 | }; |
---|
656 | |
---|
657 | }; |
---|
658 | |
---|
659 | /// \ingroup graph_adaptors |
---|
660 | /// |
---|
661 | /// \brief A digraph adaptor for hiding nodes and arcs from a digraph. |
---|
662 | /// |
---|
663 | /// SubDigraphAdaptor shows the digraph with filtered node-set and |
---|
664 | /// arc-set. If the \c checked parameter is true then it filters the arcset |
---|
665 | /// to do not get invalid arcs without source or target. |
---|
666 | /// Let \f$ G=(V, A) \f$ be a directed digraph |
---|
667 | /// and suppose that the digraph instance \c g of type ListDigraph |
---|
668 | /// implements \f$ G \f$. |
---|
669 | /// Let moreover \f$ b_V \f$ and \f$ b_A \f$ be bool-valued functions resp. |
---|
670 | /// on the node-set and arc-set. |
---|
671 | /// SubDigraphAdaptor<...>::NodeIt iterates |
---|
672 | /// on the node-set \f$ \{v\in V : b_V(v)=true\} \f$ and |
---|
673 | /// SubDigraphAdaptor<...>::ArcIt iterates |
---|
674 | /// on the arc-set \f$ \{e\in A : b_A(e)=true\} \f$. Similarly, |
---|
675 | /// SubDigraphAdaptor<...>::OutArcIt and |
---|
676 | /// SubDigraphAdaptor<...>::InArcIt iterates |
---|
677 | /// only on arcs leaving and entering a specific node which have true value. |
---|
678 | /// |
---|
679 | /// If the \c checked template parameter is false then we have to |
---|
680 | /// note that the node-iterator cares only the filter on the |
---|
681 | /// node-set, and the arc-iterator cares only the filter on the |
---|
682 | /// arc-set. This way the arc-map should filter all arcs which's |
---|
683 | /// source or target is filtered by the node-filter. |
---|
684 | ///\code |
---|
685 | /// typedef ListDigraph Digraph; |
---|
686 | /// DIGRAPH_TYPEDEFS(Digraph); |
---|
687 | /// Digraph g; |
---|
688 | /// Node u=g.addNode(); //node of id 0 |
---|
689 | /// Node v=g.addNode(); //node of id 1 |
---|
690 | /// Arc a=g.addArc(u, v); //arc of id 0 |
---|
691 | /// Arc f=g.addArc(v, u); //arc of id 1 |
---|
692 | /// BoolNodeMap nm(g, true); |
---|
693 | /// nm.set(u, false); |
---|
694 | /// BoolArcMap am(g, true); |
---|
695 | /// am.set(a, false); |
---|
696 | /// typedef SubDigraphAdaptor<Digraph, BoolNodeMap, BoolArcMap> SubGA; |
---|
697 | /// SubGA ga(g, nm, am); |
---|
698 | /// for (SubGA::NodeIt n(ga); n!=INVALID; ++n) |
---|
699 | /// std::cout << g.id(n) << std::endl; |
---|
700 | /// std::cout << ":-)" << std::endl; |
---|
701 | /// for (SubGA::ArcIt a(ga); a!=INVALID; ++a) |
---|
702 | /// std::cout << g.id(a) << std::endl; |
---|
703 | ///\endcode |
---|
704 | /// The output of the above code is the following. |
---|
705 | ///\code |
---|
706 | /// 1 |
---|
707 | /// :-) |
---|
708 | /// 1 |
---|
709 | ///\endcode |
---|
710 | /// Note that \c n is of type \c SubGA::NodeIt, but it can be converted to |
---|
711 | /// \c Digraph::Node that is why \c g.id(n) can be applied. |
---|
712 | /// |
---|
713 | /// For other examples see also the documentation of |
---|
714 | /// NodeSubDigraphAdaptor and ArcSubDigraphAdaptor. |
---|
715 | template<typename _Digraph, |
---|
716 | typename _NodeFilterMap = typename _Digraph::template NodeMap<bool>, |
---|
717 | typename _ArcFilterMap = typename _Digraph::template ArcMap<bool>, |
---|
718 | bool checked = true> |
---|
719 | class SubDigraphAdaptor : |
---|
720 | public DigraphAdaptorExtender< |
---|
721 | SubDigraphAdaptorBase<_Digraph, _NodeFilterMap, _ArcFilterMap, checked> > { |
---|
722 | public: |
---|
723 | typedef _Digraph Digraph; |
---|
724 | typedef _NodeFilterMap NodeFilterMap; |
---|
725 | typedef _ArcFilterMap ArcFilterMap; |
---|
726 | |
---|
727 | typedef DigraphAdaptorExtender< |
---|
728 | SubDigraphAdaptorBase<Digraph, NodeFilterMap, ArcFilterMap, checked> > |
---|
729 | Parent; |
---|
730 | |
---|
731 | protected: |
---|
732 | SubDigraphAdaptor() { } |
---|
733 | public: |
---|
734 | |
---|
735 | SubDigraphAdaptor(Digraph& digraph, NodeFilterMap& node_filter, |
---|
736 | ArcFilterMap& arc_filter) { |
---|
737 | setDigraph(digraph); |
---|
738 | setNodeFilterMap(node_filter); |
---|
739 | setArcFilterMap(arc_filter); |
---|
740 | } |
---|
741 | |
---|
742 | }; |
---|
743 | |
---|
744 | /// \brief Just gives back a sub digraph adaptor |
---|
745 | /// |
---|
746 | /// Just gives back a sub digraph adaptor |
---|
747 | template<typename Digraph, typename NodeFilterMap, typename ArcFilterMap> |
---|
748 | SubDigraphAdaptor<const Digraph, NodeFilterMap, ArcFilterMap> |
---|
749 | subDigraphAdaptor(const Digraph& digraph, |
---|
750 | NodeFilterMap& nfm, ArcFilterMap& afm) { |
---|
751 | return SubDigraphAdaptor<const Digraph, NodeFilterMap, ArcFilterMap> |
---|
752 | (digraph, nfm, afm); |
---|
753 | } |
---|
754 | |
---|
755 | template<typename Digraph, typename NodeFilterMap, typename ArcFilterMap> |
---|
756 | SubDigraphAdaptor<const Digraph, const NodeFilterMap, ArcFilterMap> |
---|
757 | subDigraphAdaptor(const Digraph& digraph, |
---|
758 | NodeFilterMap& nfm, ArcFilterMap& afm) { |
---|
759 | return SubDigraphAdaptor<const Digraph, const NodeFilterMap, ArcFilterMap> |
---|
760 | (digraph, nfm, afm); |
---|
761 | } |
---|
762 | |
---|
763 | template<typename Digraph, typename NodeFilterMap, typename ArcFilterMap> |
---|
764 | SubDigraphAdaptor<const Digraph, NodeFilterMap, const ArcFilterMap> |
---|
765 | subDigraphAdaptor(const Digraph& digraph, |
---|
766 | NodeFilterMap& nfm, ArcFilterMap& afm) { |
---|
767 | return SubDigraphAdaptor<const Digraph, NodeFilterMap, const ArcFilterMap> |
---|
768 | (digraph, nfm, afm); |
---|
769 | } |
---|
770 | |
---|
771 | template<typename Digraph, typename NodeFilterMap, typename ArcFilterMap> |
---|
772 | SubDigraphAdaptor<const Digraph, const NodeFilterMap, const ArcFilterMap> |
---|
773 | subDigraphAdaptor(const Digraph& digraph, |
---|
774 | NodeFilterMap& nfm, ArcFilterMap& afm) { |
---|
775 | return SubDigraphAdaptor<const Digraph, const NodeFilterMap, |
---|
776 | const ArcFilterMap>(digraph, nfm, afm); |
---|
777 | } |
---|
778 | |
---|
779 | |
---|
780 | |
---|
781 | ///\ingroup graph_adaptors |
---|
782 | /// |
---|
783 | ///\brief An adaptor for hiding nodes from a digraph. |
---|
784 | /// |
---|
785 | ///An adaptor for hiding nodes from a digraph. This adaptor |
---|
786 | ///specializes SubDigraphAdaptor in the way that only the node-set |
---|
787 | ///can be filtered. In usual case the checked parameter is true, we |
---|
788 | ///get the induced subgraph. But if the checked parameter is false |
---|
789 | ///then we can filter only isolated nodes. |
---|
790 | template<typename _Digraph, |
---|
791 | typename _NodeFilterMap = typename _Digraph::template NodeMap<bool>, |
---|
792 | bool checked = true> |
---|
793 | class NodeSubDigraphAdaptor : |
---|
794 | public SubDigraphAdaptor<_Digraph, _NodeFilterMap, |
---|
795 | ConstMap<typename _Digraph::Arc, bool>, checked> { |
---|
796 | public: |
---|
797 | |
---|
798 | typedef _Digraph Digraph; |
---|
799 | typedef _NodeFilterMap NodeFilterMap; |
---|
800 | |
---|
801 | typedef SubDigraphAdaptor<Digraph, NodeFilterMap, |
---|
802 | ConstMap<typename Digraph::Arc, bool>, checked> |
---|
803 | Parent; |
---|
804 | |
---|
805 | protected: |
---|
806 | ConstMap<typename Digraph::Arc, bool> const_true_map; |
---|
807 | |
---|
808 | NodeSubDigraphAdaptor() : const_true_map(true) { |
---|
809 | Parent::setArcFilterMap(const_true_map); |
---|
810 | } |
---|
811 | |
---|
812 | public: |
---|
813 | |
---|
814 | NodeSubDigraphAdaptor(Digraph& _digraph, NodeFilterMap& node_filter) : |
---|
815 | Parent(), const_true_map(true) { |
---|
816 | Parent::setDigraph(_digraph); |
---|
817 | Parent::setNodeFilterMap(node_filter); |
---|
818 | Parent::setArcFilterMap(const_true_map); |
---|
819 | } |
---|
820 | |
---|
821 | }; |
---|
822 | |
---|
823 | |
---|
824 | /// \brief Just gives back a \c NodeSubDigraphAdaptor |
---|
825 | /// |
---|
826 | /// Just gives back a \c NodeSubDigraphAdaptor |
---|
827 | template<typename Digraph, typename NodeFilterMap> |
---|
828 | NodeSubDigraphAdaptor<const Digraph, NodeFilterMap> |
---|
829 | nodeSubDigraphAdaptor(const Digraph& digraph, NodeFilterMap& nfm) { |
---|
830 | return NodeSubDigraphAdaptor<const Digraph, NodeFilterMap>(digraph, nfm); |
---|
831 | } |
---|
832 | |
---|
833 | template<typename Digraph, typename NodeFilterMap> |
---|
834 | NodeSubDigraphAdaptor<const Digraph, const NodeFilterMap> |
---|
835 | nodeSubDigraphAdaptor(const Digraph& digraph, const NodeFilterMap& nfm) { |
---|
836 | return NodeSubDigraphAdaptor<const Digraph, const NodeFilterMap> |
---|
837 | (digraph, nfm); |
---|
838 | } |
---|
839 | |
---|
840 | ///\ingroup graph_adaptors |
---|
841 | /// |
---|
842 | ///\brief An adaptor for hiding arcs from a digraph. |
---|
843 | /// |
---|
844 | ///An adaptor for hiding arcs from a digraph. This adaptor |
---|
845 | ///specializes SubDigraphAdaptor in the way that only the arc-set |
---|
846 | ///can be filtered. The usefulness of this adaptor is demonstrated |
---|
847 | ///in the problem of searching a maximum number of arc-disjoint |
---|
848 | ///shortest paths between two nodes \c s and \c t. Shortest here |
---|
849 | ///means being shortest w.r.t. non-negative arc-lengths. Note that |
---|
850 | ///the comprehension of the presented solution need's some |
---|
851 | ///elementary knowlarc from combinatorial optimization. |
---|
852 | /// |
---|
853 | ///If a single shortest path is to be searched between \c s and \c |
---|
854 | ///t, then this can be done easily by applying the Dijkstra |
---|
855 | ///algorithm. What happens, if a maximum number of arc-disjoint |
---|
856 | ///shortest paths is to be computed. It can be proved that an arc |
---|
857 | ///can be in a shortest path if and only if it is tight with respect |
---|
858 | ///to the potential function computed by Dijkstra. Moreover, any |
---|
859 | ///path containing only such arcs is a shortest one. Thus we have |
---|
860 | ///to compute a maximum number of arc-disjoint paths between \c s |
---|
861 | ///and \c t in the digraph which has arc-set all the tight arcs. The |
---|
862 | ///computation will be demonstrated on the following digraph, which |
---|
863 | ///is read from the dimacs file \c sub_digraph_adaptor_demo.dim. |
---|
864 | ///The full source code is available in \ref |
---|
865 | ///sub_digraph_adaptor_demo.cc. If you are interested in more demo |
---|
866 | ///programs, you can use \ref dim_to_dot.cc to generate .dot files |
---|
867 | ///from dimacs files. The .dot file of the following figure was |
---|
868 | ///generated by the demo program \ref dim_to_dot.cc. |
---|
869 | /// |
---|
870 | ///\dot |
---|
871 | ///didigraph lemon_dot_example { |
---|
872 | ///node [ shape=ellipse, fontname=Helvetica, fontsize=10 ]; |
---|
873 | ///n0 [ label="0 (s)" ]; |
---|
874 | ///n1 [ label="1" ]; |
---|
875 | ///n2 [ label="2" ]; |
---|
876 | ///n3 [ label="3" ]; |
---|
877 | ///n4 [ label="4" ]; |
---|
878 | ///n5 [ label="5" ]; |
---|
879 | ///n6 [ label="6 (t)" ]; |
---|
880 | ///arc [ shape=ellipse, fontname=Helvetica, fontsize=10 ]; |
---|
881 | ///n5 -> n6 [ label="9, length:4" ]; |
---|
882 | ///n4 -> n6 [ label="8, length:2" ]; |
---|
883 | ///n3 -> n5 [ label="7, length:1" ]; |
---|
884 | ///n2 -> n5 [ label="6, length:3" ]; |
---|
885 | ///n2 -> n6 [ label="5, length:5" ]; |
---|
886 | ///n2 -> n4 [ label="4, length:2" ]; |
---|
887 | ///n1 -> n4 [ label="3, length:3" ]; |
---|
888 | ///n0 -> n3 [ label="2, length:1" ]; |
---|
889 | ///n0 -> n2 [ label="1, length:2" ]; |
---|
890 | ///n0 -> n1 [ label="0, length:3" ]; |
---|
891 | ///} |
---|
892 | ///\enddot |
---|
893 | /// |
---|
894 | ///\code |
---|
895 | ///Digraph g; |
---|
896 | ///Node s, t; |
---|
897 | ///LengthMap length(g); |
---|
898 | /// |
---|
899 | ///readDimacs(std::cin, g, length, s, t); |
---|
900 | /// |
---|
901 | ///cout << "arcs with lengths (of form id, source--length->target): " << endl; |
---|
902 | ///for(ArcIt e(g); e!=INVALID; ++e) |
---|
903 | /// cout << g.id(e) << ", " << g.id(g.source(e)) << "--" |
---|
904 | /// << length[e] << "->" << g.id(g.target(e)) << endl; |
---|
905 | /// |
---|
906 | ///cout << "s: " << g.id(s) << " t: " << g.id(t) << endl; |
---|
907 | ///\endcode |
---|
908 | ///Next, the potential function is computed with Dijkstra. |
---|
909 | ///\code |
---|
910 | ///typedef Dijkstra<Digraph, LengthMap> Dijkstra; |
---|
911 | ///Dijkstra dijkstra(g, length); |
---|
912 | ///dijkstra.run(s); |
---|
913 | ///\endcode |
---|
914 | ///Next, we consrtruct a map which filters the arc-set to the tight arcs. |
---|
915 | ///\code |
---|
916 | ///typedef TightArcFilterMap<Digraph, const Dijkstra::DistMap, LengthMap> |
---|
917 | /// TightArcFilter; |
---|
918 | ///TightArcFilter tight_arc_filter(g, dijkstra.distMap(), length); |
---|
919 | /// |
---|
920 | ///typedef ArcSubDigraphAdaptor<Digraph, TightArcFilter> SubGA; |
---|
921 | ///SubGA ga(g, tight_arc_filter); |
---|
922 | ///\endcode |
---|
923 | ///Then, the maximum nimber of arc-disjoint \c s-\c t paths are computed |
---|
924 | ///with a max flow algorithm Preflow. |
---|
925 | ///\code |
---|
926 | ///ConstMap<Arc, int> const_1_map(1); |
---|
927 | ///Digraph::ArcMap<int> flow(g, 0); |
---|
928 | /// |
---|
929 | ///Preflow<SubGA, ConstMap<Arc, int>, Digraph::ArcMap<int> > |
---|
930 | /// preflow(ga, const_1_map, s, t); |
---|
931 | ///preflow.run(); |
---|
932 | ///\endcode |
---|
933 | ///Last, the output is: |
---|
934 | ///\code |
---|
935 | ///cout << "maximum number of arc-disjoint shortest path: " |
---|
936 | /// << preflow.flowValue() << endl; |
---|
937 | ///cout << "arcs of the maximum number of arc-disjoint shortest s-t paths: " |
---|
938 | /// << endl; |
---|
939 | ///for(ArcIt e(g); e!=INVALID; ++e) |
---|
940 | /// if (preflow.flow(e)) |
---|
941 | /// cout << " " << g.id(g.source(e)) << "--" |
---|
942 | /// << length[e] << "->" << g.id(g.target(e)) << endl; |
---|
943 | ///\endcode |
---|
944 | ///The program has the following (expected :-)) output: |
---|
945 | ///\code |
---|
946 | ///arcs with lengths (of form id, source--length->target): |
---|
947 | /// 9, 5--4->6 |
---|
948 | /// 8, 4--2->6 |
---|
949 | /// 7, 3--1->5 |
---|
950 | /// 6, 2--3->5 |
---|
951 | /// 5, 2--5->6 |
---|
952 | /// 4, 2--2->4 |
---|
953 | /// 3, 1--3->4 |
---|
954 | /// 2, 0--1->3 |
---|
955 | /// 1, 0--2->2 |
---|
956 | /// 0, 0--3->1 |
---|
957 | ///s: 0 t: 6 |
---|
958 | ///maximum number of arc-disjoint shortest path: 2 |
---|
959 | ///arcs of the maximum number of arc-disjoint shortest s-t paths: |
---|
960 | /// 9, 5--4->6 |
---|
961 | /// 8, 4--2->6 |
---|
962 | /// 7, 3--1->5 |
---|
963 | /// 4, 2--2->4 |
---|
964 | /// 2, 0--1->3 |
---|
965 | /// 1, 0--2->2 |
---|
966 | ///\endcode |
---|
967 | template<typename _Digraph, typename _ArcFilterMap> |
---|
968 | class ArcSubDigraphAdaptor : |
---|
969 | public SubDigraphAdaptor<_Digraph, ConstMap<typename _Digraph::Node, bool>, |
---|
970 | _ArcFilterMap, false> { |
---|
971 | public: |
---|
972 | typedef _Digraph Digraph; |
---|
973 | typedef _ArcFilterMap ArcFilterMap; |
---|
974 | |
---|
975 | typedef SubDigraphAdaptor<Digraph, ConstMap<typename Digraph::Node, bool>, |
---|
976 | ArcFilterMap, false> Parent; |
---|
977 | protected: |
---|
978 | ConstMap<typename Digraph::Node, bool> const_true_map; |
---|
979 | |
---|
980 | ArcSubDigraphAdaptor() : const_true_map(true) { |
---|
981 | Parent::setNodeFilterMap(const_true_map); |
---|
982 | } |
---|
983 | |
---|
984 | public: |
---|
985 | |
---|
986 | ArcSubDigraphAdaptor(Digraph& digraph, ArcFilterMap& arc_filter) |
---|
987 | : Parent(), const_true_map(true) { |
---|
988 | Parent::setDigraph(digraph); |
---|
989 | Parent::setNodeFilterMap(const_true_map); |
---|
990 | Parent::setArcFilterMap(arc_filter); |
---|
991 | } |
---|
992 | |
---|
993 | }; |
---|
994 | |
---|
995 | /// \brief Just gives back an arc sub digraph adaptor |
---|
996 | /// |
---|
997 | /// Just gives back an arc sub digraph adaptor |
---|
998 | template<typename Digraph, typename ArcFilterMap> |
---|
999 | ArcSubDigraphAdaptor<const Digraph, ArcFilterMap> |
---|
1000 | arcSubDigraphAdaptor(const Digraph& digraph, ArcFilterMap& afm) { |
---|
1001 | return ArcSubDigraphAdaptor<const Digraph, ArcFilterMap>(digraph, afm); |
---|
1002 | } |
---|
1003 | |
---|
1004 | template<typename Digraph, typename ArcFilterMap> |
---|
1005 | ArcSubDigraphAdaptor<const Digraph, const ArcFilterMap> |
---|
1006 | arcSubDigraphAdaptor(const Digraph& digraph, const ArcFilterMap& afm) { |
---|
1007 | return ArcSubDigraphAdaptor<const Digraph, const ArcFilterMap> |
---|
1008 | (digraph, afm); |
---|
1009 | } |
---|
1010 | |
---|
1011 | template <typename _Digraph> |
---|
1012 | class UndirDigraphAdaptorBase { |
---|
1013 | public: |
---|
1014 | typedef _Digraph Digraph; |
---|
1015 | typedef UndirDigraphAdaptorBase Adaptor; |
---|
1016 | |
---|
1017 | typedef True UndirectedTag; |
---|
1018 | |
---|
1019 | typedef typename Digraph::Arc Edge; |
---|
1020 | typedef typename Digraph::Node Node; |
---|
1021 | |
---|
1022 | class Arc : public Edge { |
---|
1023 | friend class UndirDigraphAdaptorBase; |
---|
1024 | protected: |
---|
1025 | bool _forward; |
---|
1026 | |
---|
1027 | Arc(const Edge& edge, bool forward) : |
---|
1028 | Edge(edge), _forward(forward) {} |
---|
1029 | |
---|
1030 | public: |
---|
1031 | Arc() {} |
---|
1032 | |
---|
1033 | Arc(Invalid) : Edge(INVALID), _forward(true) {} |
---|
1034 | |
---|
1035 | bool operator==(const Arc &other) const { |
---|
1036 | return _forward == other._forward && |
---|
1037 | static_cast<const Edge&>(*this) == static_cast<const Edge&>(other); |
---|
1038 | } |
---|
1039 | bool operator!=(const Arc &other) const { |
---|
1040 | return _forward != other._forward || |
---|
1041 | static_cast<const Edge&>(*this) != static_cast<const Edge&>(other); |
---|
1042 | } |
---|
1043 | bool operator<(const Arc &other) const { |
---|
1044 | return _forward < other._forward || |
---|
1045 | (_forward == other._forward && |
---|
1046 | static_cast<const Edge&>(*this) < static_cast<const Edge&>(other)); |
---|
1047 | } |
---|
1048 | }; |
---|
1049 | |
---|
1050 | |
---|
1051 | |
---|
1052 | void first(Node& n) const { |
---|
1053 | _digraph->first(n); |
---|
1054 | } |
---|
1055 | |
---|
1056 | void next(Node& n) const { |
---|
1057 | _digraph->next(n); |
---|
1058 | } |
---|
1059 | |
---|
1060 | void first(Arc& a) const { |
---|
1061 | _digraph->first(a); |
---|
1062 | a._forward = true; |
---|
1063 | } |
---|
1064 | |
---|
1065 | void next(Arc& a) const { |
---|
1066 | if (a._forward) { |
---|
1067 | a._forward = false; |
---|
1068 | } else { |
---|
1069 | _digraph->next(a); |
---|
1070 | a._forward = true; |
---|
1071 | } |
---|
1072 | } |
---|
1073 | |
---|
1074 | void first(Edge& e) const { |
---|
1075 | _digraph->first(e); |
---|
1076 | } |
---|
1077 | |
---|
1078 | void next(Edge& e) const { |
---|
1079 | _digraph->next(e); |
---|
1080 | } |
---|
1081 | |
---|
1082 | void firstOut(Arc& a, const Node& n) const { |
---|
1083 | _digraph->firstIn(a, n); |
---|
1084 | if( static_cast<const Edge&>(a) != INVALID ) { |
---|
1085 | a._forward = false; |
---|
1086 | } else { |
---|
1087 | _digraph->firstOut(a, n); |
---|
1088 | a._forward = true; |
---|
1089 | } |
---|
1090 | } |
---|
1091 | void nextOut(Arc &a) const { |
---|
1092 | if (!a._forward) { |
---|
1093 | Node n = _digraph->target(a); |
---|
1094 | _digraph->nextIn(a); |
---|
1095 | if (static_cast<const Edge&>(a) == INVALID ) { |
---|
1096 | _digraph->firstOut(a, n); |
---|
1097 | a._forward = true; |
---|
1098 | } |
---|
1099 | } |
---|
1100 | else { |
---|
1101 | _digraph->nextOut(a); |
---|
1102 | } |
---|
1103 | } |
---|
1104 | |
---|
1105 | void firstIn(Arc &a, const Node &n) const { |
---|
1106 | _digraph->firstOut(a, n); |
---|
1107 | if (static_cast<const Edge&>(a) != INVALID ) { |
---|
1108 | a._forward = false; |
---|
1109 | } else { |
---|
1110 | _digraph->firstIn(a, n); |
---|
1111 | a._forward = true; |
---|
1112 | } |
---|
1113 | } |
---|
1114 | void nextIn(Arc &a) const { |
---|
1115 | if (!a._forward) { |
---|
1116 | Node n = _digraph->source(a); |
---|
1117 | _digraph->nextOut(a); |
---|
1118 | if( static_cast<const Edge&>(a) == INVALID ) { |
---|
1119 | _digraph->firstIn(a, n); |
---|
1120 | a._forward = true; |
---|
1121 | } |
---|
1122 | } |
---|
1123 | else { |
---|
1124 | _digraph->nextIn(a); |
---|
1125 | } |
---|
1126 | } |
---|
1127 | |
---|
1128 | void firstInc(Edge &e, bool &d, const Node &n) const { |
---|
1129 | d = true; |
---|
1130 | _digraph->firstOut(e, n); |
---|
1131 | if (e != INVALID) return; |
---|
1132 | d = false; |
---|
1133 | _digraph->firstIn(e, n); |
---|
1134 | } |
---|
1135 | |
---|
1136 | void nextInc(Edge &e, bool &d) const { |
---|
1137 | if (d) { |
---|
1138 | Node s = _digraph->source(e); |
---|
1139 | _digraph->nextOut(e); |
---|
1140 | if (e != INVALID) return; |
---|
1141 | d = false; |
---|
1142 | _digraph->firstIn(e, s); |
---|
1143 | } else { |
---|
1144 | _digraph->nextIn(e); |
---|
1145 | } |
---|
1146 | } |
---|
1147 | |
---|
1148 | Node u(const Edge& e) const { |
---|
1149 | return _digraph->source(e); |
---|
1150 | } |
---|
1151 | |
---|
1152 | Node v(const Edge& e) const { |
---|
1153 | return _digraph->target(e); |
---|
1154 | } |
---|
1155 | |
---|
1156 | Node source(const Arc &a) const { |
---|
1157 | return a._forward ? _digraph->source(a) : _digraph->target(a); |
---|
1158 | } |
---|
1159 | |
---|
1160 | Node target(const Arc &a) const { |
---|
1161 | return a._forward ? _digraph->target(a) : _digraph->source(a); |
---|
1162 | } |
---|
1163 | |
---|
1164 | static Arc direct(const Edge &e, bool d) { |
---|
1165 | return Arc(e, d); |
---|
1166 | } |
---|
1167 | Arc direct(const Edge &e, const Node& n) const { |
---|
1168 | return Arc(e, _digraph->source(e) == n); |
---|
1169 | } |
---|
1170 | |
---|
1171 | static bool direction(const Arc &a) { return a._forward; } |
---|
1172 | |
---|
1173 | Node nodeFromId(int ix) const { return _digraph->nodeFromId(ix); } |
---|
1174 | Arc arcFromId(int ix) const { |
---|
1175 | return direct(_digraph->arcFromId(ix >> 1), bool(ix & 1)); |
---|
1176 | } |
---|
1177 | Edge edgeFromId(int ix) const { return _digraph->arcFromId(ix); } |
---|
1178 | |
---|
1179 | int id(const Node &n) const { return _digraph->id(n); } |
---|
1180 | int id(const Arc &a) const { |
---|
1181 | return (_digraph->id(a) << 1) | (a._forward ? 1 : 0); |
---|
1182 | } |
---|
1183 | int id(const Edge &e) const { return _digraph->id(e); } |
---|
1184 | |
---|
1185 | int maxNodeId() const { return _digraph->maxNodeId(); } |
---|
1186 | int maxArcId() const { return (_digraph->maxArcId() << 1) | 1; } |
---|
1187 | int maxEdgeId() const { return _digraph->maxArcId(); } |
---|
1188 | |
---|
1189 | Node addNode() { return _digraph->addNode(); } |
---|
1190 | Edge addEdge(const Node& u, const Node& v) { |
---|
1191 | return _digraph->addArc(u, v); |
---|
1192 | } |
---|
1193 | |
---|
1194 | void erase(const Node& i) { _digraph->erase(i); } |
---|
1195 | void erase(const Edge& i) { _digraph->erase(i); } |
---|
1196 | |
---|
1197 | void clear() { _digraph->clear(); } |
---|
1198 | |
---|
1199 | typedef NodeNumTagIndicator<Digraph> NodeNumTag; |
---|
1200 | int nodeNum() const { return 2 * _digraph->arcNum(); } |
---|
1201 | typedef EdgeNumTagIndicator<Digraph> EdgeNumTag; |
---|
1202 | int arcNum() const { return 2 * _digraph->arcNum(); } |
---|
1203 | int edgeNum() const { return _digraph->arcNum(); } |
---|
1204 | |
---|
1205 | typedef FindEdgeTagIndicator<Digraph> FindEdgeTag; |
---|
1206 | Arc findArc(Node s, Node t, Arc p = INVALID) const { |
---|
1207 | if (p == INVALID) { |
---|
1208 | Edge arc = _digraph->findArc(s, t); |
---|
1209 | if (arc != INVALID) return direct(arc, true); |
---|
1210 | arc = _digraph->findArc(t, s); |
---|
1211 | if (arc != INVALID) return direct(arc, false); |
---|
1212 | } else if (direction(p)) { |
---|
1213 | Edge arc = _digraph->findArc(s, t, p); |
---|
1214 | if (arc != INVALID) return direct(arc, true); |
---|
1215 | arc = _digraph->findArc(t, s); |
---|
1216 | if (arc != INVALID) return direct(arc, false); |
---|
1217 | } else { |
---|
1218 | Edge arc = _digraph->findArc(t, s, p); |
---|
1219 | if (arc != INVALID) return direct(arc, false); |
---|
1220 | } |
---|
1221 | return INVALID; |
---|
1222 | } |
---|
1223 | |
---|
1224 | Edge findEdge(Node s, Node t, Edge p = INVALID) const { |
---|
1225 | if (s != t) { |
---|
1226 | if (p == INVALID) { |
---|
1227 | Edge arc = _digraph->findArc(s, t); |
---|
1228 | if (arc != INVALID) return arc; |
---|
1229 | arc = _digraph->findArc(t, s); |
---|
1230 | if (arc != INVALID) return arc; |
---|
1231 | } else if (_digraph->s(p) == s) { |
---|
1232 | Edge arc = _digraph->findArc(s, t, p); |
---|
1233 | if (arc != INVALID) return arc; |
---|
1234 | arc = _digraph->findArc(t, s); |
---|
1235 | if (arc != INVALID) return arc; |
---|
1236 | } else { |
---|
1237 | Edge arc = _digraph->findArc(t, s, p); |
---|
1238 | if (arc != INVALID) return arc; |
---|
1239 | } |
---|
1240 | } else { |
---|
1241 | return _digraph->findArc(s, t, p); |
---|
1242 | } |
---|
1243 | return INVALID; |
---|
1244 | } |
---|
1245 | |
---|
1246 | private: |
---|
1247 | |
---|
1248 | template <typename _Value> |
---|
1249 | class ArcMapBase { |
---|
1250 | private: |
---|
1251 | |
---|
1252 | typedef typename Digraph::template ArcMap<_Value> MapImpl; |
---|
1253 | |
---|
1254 | public: |
---|
1255 | |
---|
1256 | typedef typename MapTraits<MapImpl>::ReferenceMapTag ReferenceMapTag; |
---|
1257 | |
---|
1258 | typedef _Value Value; |
---|
1259 | typedef Arc Key; |
---|
1260 | |
---|
1261 | ArcMapBase(const Adaptor& adaptor) : |
---|
1262 | _forward(*adaptor._digraph), _backward(*adaptor._digraph) {} |
---|
1263 | |
---|
1264 | ArcMapBase(const Adaptor& adaptor, const Value& v) |
---|
1265 | : _forward(*adaptor._digraph, v), _backward(*adaptor._digraph, v) {} |
---|
1266 | |
---|
1267 | void set(const Arc& a, const Value& v) { |
---|
1268 | if (direction(a)) { |
---|
1269 | _forward.set(a, v); |
---|
1270 | } else { |
---|
1271 | _backward.set(a, v); |
---|
1272 | } |
---|
1273 | } |
---|
1274 | |
---|
1275 | typename MapTraits<MapImpl>::ConstReturnValue |
---|
1276 | operator[](const Arc& a) const { |
---|
1277 | if (direction(a)) { |
---|
1278 | return _forward[a]; |
---|
1279 | } else { |
---|
1280 | return _backward[a]; |
---|
1281 | } |
---|
1282 | } |
---|
1283 | |
---|
1284 | typename MapTraits<MapImpl>::ReturnValue |
---|
1285 | operator[](const Arc& a) { |
---|
1286 | if (direction(a)) { |
---|
1287 | return _forward[a]; |
---|
1288 | } else { |
---|
1289 | return _backward[a]; |
---|
1290 | } |
---|
1291 | } |
---|
1292 | |
---|
1293 | protected: |
---|
1294 | |
---|
1295 | MapImpl _forward, _backward; |
---|
1296 | |
---|
1297 | }; |
---|
1298 | |
---|
1299 | public: |
---|
1300 | |
---|
1301 | template <typename _Value> |
---|
1302 | class NodeMap : public Digraph::template NodeMap<_Value> { |
---|
1303 | public: |
---|
1304 | |
---|
1305 | typedef _Value Value; |
---|
1306 | typedef typename Digraph::template NodeMap<Value> Parent; |
---|
1307 | |
---|
1308 | explicit NodeMap(const Adaptor& adaptor) |
---|
1309 | : Parent(*adaptor._digraph) {} |
---|
1310 | |
---|
1311 | NodeMap(const Adaptor& adaptor, const _Value& value) |
---|
1312 | : Parent(*adaptor._digraph, value) { } |
---|
1313 | |
---|
1314 | private: |
---|
1315 | NodeMap& operator=(const NodeMap& cmap) { |
---|
1316 | return operator=<NodeMap>(cmap); |
---|
1317 | } |
---|
1318 | |
---|
1319 | template <typename CMap> |
---|
1320 | NodeMap& operator=(const CMap& cmap) { |
---|
1321 | Parent::operator=(cmap); |
---|
1322 | return *this; |
---|
1323 | } |
---|
1324 | |
---|
1325 | }; |
---|
1326 | |
---|
1327 | template <typename _Value> |
---|
1328 | class ArcMap |
---|
1329 | : public SubMapExtender<Adaptor, ArcMapBase<_Value> > |
---|
1330 | { |
---|
1331 | public: |
---|
1332 | typedef _Value Value; |
---|
1333 | typedef SubMapExtender<Adaptor, ArcMapBase<Value> > Parent; |
---|
1334 | |
---|
1335 | ArcMap(const Adaptor& adaptor) |
---|
1336 | : Parent(adaptor) {} |
---|
1337 | |
---|
1338 | ArcMap(const Adaptor& adaptor, const Value& value) |
---|
1339 | : Parent(adaptor, value) {} |
---|
1340 | |
---|
1341 | private: |
---|
1342 | ArcMap& operator=(const ArcMap& cmap) { |
---|
1343 | return operator=<ArcMap>(cmap); |
---|
1344 | } |
---|
1345 | |
---|
1346 | template <typename CMap> |
---|
1347 | ArcMap& operator=(const CMap& cmap) { |
---|
1348 | Parent::operator=(cmap); |
---|
1349 | return *this; |
---|
1350 | } |
---|
1351 | }; |
---|
1352 | |
---|
1353 | template <typename _Value> |
---|
1354 | class EdgeMap : public Digraph::template ArcMap<_Value> { |
---|
1355 | public: |
---|
1356 | |
---|
1357 | typedef _Value Value; |
---|
1358 | typedef typename Digraph::template ArcMap<Value> Parent; |
---|
1359 | |
---|
1360 | explicit EdgeMap(const Adaptor& adaptor) |
---|
1361 | : Parent(*adaptor._digraph) {} |
---|
1362 | |
---|
1363 | EdgeMap(const Adaptor& adaptor, const Value& value) |
---|
1364 | : Parent(*adaptor._digraph, value) {} |
---|
1365 | |
---|
1366 | private: |
---|
1367 | EdgeMap& operator=(const EdgeMap& cmap) { |
---|
1368 | return operator=<EdgeMap>(cmap); |
---|
1369 | } |
---|
1370 | |
---|
1371 | template <typename CMap> |
---|
1372 | EdgeMap& operator=(const CMap& cmap) { |
---|
1373 | Parent::operator=(cmap); |
---|
1374 | return *this; |
---|
1375 | } |
---|
1376 | |
---|
1377 | }; |
---|
1378 | |
---|
1379 | typedef typename ItemSetTraits<Digraph, Node>::ItemNotifier NodeNotifier; |
---|
1380 | NodeNotifier& notifier(Node) const { return _digraph->notifier(Node()); } |
---|
1381 | |
---|
1382 | protected: |
---|
1383 | |
---|
1384 | UndirDigraphAdaptorBase() : _digraph(0) {} |
---|
1385 | |
---|
1386 | Digraph* _digraph; |
---|
1387 | |
---|
1388 | void setDigraph(Digraph& digraph) { |
---|
1389 | _digraph = &digraph; |
---|
1390 | } |
---|
1391 | |
---|
1392 | }; |
---|
1393 | |
---|
1394 | ///\ingroup graph_adaptors |
---|
1395 | /// |
---|
1396 | /// \brief An graph is made from a directed digraph by an adaptor |
---|
1397 | /// |
---|
1398 | /// This adaptor makes an undirected graph from a directed |
---|
1399 | /// digraph. All arc of the underlying will be showed in the adaptor |
---|
1400 | /// as an edge. Let's see an informal example about using |
---|
1401 | /// this adaptor: |
---|
1402 | /// |
---|
1403 | /// There is a network of the streets of a town. Of course there are |
---|
1404 | /// some one-way street in the town hence the network is a directed |
---|
1405 | /// one. There is a crazy driver who go oppositely in the one-way |
---|
1406 | /// street without moral sense. Of course he can pass this streets |
---|
1407 | /// slower than the regular way, in fact his speed is half of the |
---|
1408 | /// normal speed. How long should he drive to get from a source |
---|
1409 | /// point to the target? Let see the example code which calculate it: |
---|
1410 | /// |
---|
1411 | /// \todo BadCode, SimpleMap does no exists |
---|
1412 | ///\code |
---|
1413 | /// typedef UndirDigraphAdaptor<Digraph> Graph; |
---|
1414 | /// Graph graph(digraph); |
---|
1415 | /// |
---|
1416 | /// typedef SimpleMap<LengthMap> FLengthMap; |
---|
1417 | /// FLengthMap flength(length); |
---|
1418 | /// |
---|
1419 | /// typedef ScaleMap<LengthMap> RLengthMap; |
---|
1420 | /// RLengthMap rlength(length, 2.0); |
---|
1421 | /// |
---|
1422 | /// typedef Graph::CombinedArcMap<FLengthMap, RLengthMap > ULengthMap; |
---|
1423 | /// ULengthMap ulength(flength, rlength); |
---|
1424 | /// |
---|
1425 | /// Dijkstra<Graph, ULengthMap> dijkstra(graph, ulength); |
---|
1426 | /// std::cout << "Driving time : " << dijkstra.run(src, trg) << std::endl; |
---|
1427 | ///\endcode |
---|
1428 | /// |
---|
1429 | /// The combined arc map makes the length map for the undirected |
---|
1430 | /// graph. It is created from a forward and reverse map. The forward |
---|
1431 | /// map is created from the original length map with a SimpleMap |
---|
1432 | /// adaptor which just makes a read-write map from the reference map |
---|
1433 | /// i.e. it forgets that it can be return reference to values. The |
---|
1434 | /// reverse map is just the scaled original map with the ScaleMap |
---|
1435 | /// adaptor. The combination solves that passing the reverse way |
---|
1436 | /// takes double time than the original. To get the driving time we |
---|
1437 | /// run the dijkstra algorithm on the graph. |
---|
1438 | template<typename _Digraph> |
---|
1439 | class UndirDigraphAdaptor |
---|
1440 | : public GraphAdaptorExtender<UndirDigraphAdaptorBase<_Digraph> > { |
---|
1441 | public: |
---|
1442 | typedef _Digraph Digraph; |
---|
1443 | typedef GraphAdaptorExtender<UndirDigraphAdaptorBase<Digraph> > Parent; |
---|
1444 | protected: |
---|
1445 | UndirDigraphAdaptor() { } |
---|
1446 | public: |
---|
1447 | |
---|
1448 | /// \brief Constructor |
---|
1449 | /// |
---|
1450 | /// Constructor |
---|
1451 | UndirDigraphAdaptor(_Digraph& _digraph) { |
---|
1452 | setDigraph(_digraph); |
---|
1453 | } |
---|
1454 | |
---|
1455 | /// \brief ArcMap combined from two original ArcMap |
---|
1456 | /// |
---|
1457 | /// This class adapts two original digraph ArcMap to |
---|
1458 | /// get an arc map on the adaptor. |
---|
1459 | template <typename _ForwardMap, typename _BackwardMap> |
---|
1460 | class CombinedArcMap { |
---|
1461 | public: |
---|
1462 | |
---|
1463 | typedef _ForwardMap ForwardMap; |
---|
1464 | typedef _BackwardMap BackwardMap; |
---|
1465 | |
---|
1466 | typedef typename MapTraits<ForwardMap>::ReferenceMapTag ReferenceMapTag; |
---|
1467 | |
---|
1468 | typedef typename ForwardMap::Value Value; |
---|
1469 | typedef typename Parent::Arc Key; |
---|
1470 | |
---|
1471 | /// \brief Constructor |
---|
1472 | /// |
---|
1473 | /// Constructor |
---|
1474 | CombinedArcMap() : _forward(0), _backward(0) {} |
---|
1475 | |
---|
1476 | /// \brief Constructor |
---|
1477 | /// |
---|
1478 | /// Constructor |
---|
1479 | CombinedArcMap(ForwardMap& forward, BackwardMap& backward) |
---|
1480 | : _forward(&forward), _backward(&backward) {} |
---|
1481 | |
---|
1482 | |
---|
1483 | /// \brief Sets the value associated with a key. |
---|
1484 | /// |
---|
1485 | /// Sets the value associated with a key. |
---|
1486 | void set(const Key& e, const Value& a) { |
---|
1487 | if (Parent::direction(e)) { |
---|
1488 | _forward->set(e, a); |
---|
1489 | } else { |
---|
1490 | _backward->set(e, a); |
---|
1491 | } |
---|
1492 | } |
---|
1493 | |
---|
1494 | /// \brief Returns the value associated with a key. |
---|
1495 | /// |
---|
1496 | /// Returns the value associated with a key. |
---|
1497 | typename MapTraits<ForwardMap>::ConstReturnValue |
---|
1498 | operator[](const Key& e) const { |
---|
1499 | if (Parent::direction(e)) { |
---|
1500 | return (*_forward)[e]; |
---|
1501 | } else { |
---|
1502 | return (*_backward)[e]; |
---|
1503 | } |
---|
1504 | } |
---|
1505 | |
---|
1506 | /// \brief Returns the value associated with a key. |
---|
1507 | /// |
---|
1508 | /// Returns the value associated with a key. |
---|
1509 | typename MapTraits<ForwardMap>::ReturnValue |
---|
1510 | operator[](const Key& e) { |
---|
1511 | if (Parent::direction(e)) { |
---|
1512 | return (*_forward)[e]; |
---|
1513 | } else { |
---|
1514 | return (*_backward)[e]; |
---|
1515 | } |
---|
1516 | } |
---|
1517 | |
---|
1518 | /// \brief Sets the forward map |
---|
1519 | /// |
---|
1520 | /// Sets the forward map |
---|
1521 | void setForwardMap(ForwardMap& forward) { |
---|
1522 | _forward = &forward; |
---|
1523 | } |
---|
1524 | |
---|
1525 | /// \brief Sets the backward map |
---|
1526 | /// |
---|
1527 | /// Sets the backward map |
---|
1528 | void setBackwardMap(BackwardMap& backward) { |
---|
1529 | _backward = &backward; |
---|
1530 | } |
---|
1531 | |
---|
1532 | protected: |
---|
1533 | |
---|
1534 | ForwardMap* _forward; |
---|
1535 | BackwardMap* _backward; |
---|
1536 | |
---|
1537 | }; |
---|
1538 | |
---|
1539 | }; |
---|
1540 | |
---|
1541 | /// \brief Just gives back an undir digraph adaptor |
---|
1542 | /// |
---|
1543 | /// Just gives back an undir digraph adaptor |
---|
1544 | template<typename Digraph> |
---|
1545 | UndirDigraphAdaptor<const Digraph> |
---|
1546 | undirDigraphAdaptor(const Digraph& digraph) { |
---|
1547 | return UndirDigraphAdaptor<const Digraph>(digraph); |
---|
1548 | } |
---|
1549 | |
---|
1550 | template<typename _Digraph, |
---|
1551 | typename _CapacityMap = typename _Digraph::template ArcMap<int>, |
---|
1552 | typename _FlowMap = _CapacityMap, |
---|
1553 | typename _Tolerance = Tolerance<typename _CapacityMap::Value> > |
---|
1554 | class ResForwardFilter { |
---|
1555 | public: |
---|
1556 | |
---|
1557 | typedef _Digraph Digraph; |
---|
1558 | typedef _CapacityMap CapacityMap; |
---|
1559 | typedef _FlowMap FlowMap; |
---|
1560 | typedef _Tolerance Tolerance; |
---|
1561 | |
---|
1562 | typedef typename Digraph::Arc Key; |
---|
1563 | typedef bool Value; |
---|
1564 | |
---|
1565 | private: |
---|
1566 | |
---|
1567 | const CapacityMap* _capacity; |
---|
1568 | const FlowMap* _flow; |
---|
1569 | Tolerance _tolerance; |
---|
1570 | public: |
---|
1571 | |
---|
1572 | ResForwardFilter(const CapacityMap& capacity, const FlowMap& flow, |
---|
1573 | const Tolerance& tolerance = Tolerance()) |
---|
1574 | : _capacity(&capacity), _flow(&flow), _tolerance(tolerance) { } |
---|
1575 | |
---|
1576 | ResForwardFilter(const Tolerance& tolerance = Tolerance()) |
---|
1577 | : _capacity(0), _flow(0), _tolerance(tolerance) { } |
---|
1578 | |
---|
1579 | void setCapacity(const CapacityMap& capacity) { _capacity = &capacity; } |
---|
1580 | void setFlow(const FlowMap& flow) { _flow = &flow; } |
---|
1581 | |
---|
1582 | bool operator[](const typename Digraph::Arc& a) const { |
---|
1583 | return _tolerance.positive((*_capacity)[a] - (*_flow)[a]); |
---|
1584 | } |
---|
1585 | }; |
---|
1586 | |
---|
1587 | template<typename _Digraph, |
---|
1588 | typename _CapacityMap = typename _Digraph::template ArcMap<int>, |
---|
1589 | typename _FlowMap = _CapacityMap, |
---|
1590 | typename _Tolerance = Tolerance<typename _CapacityMap::Value> > |
---|
1591 | class ResBackwardFilter { |
---|
1592 | public: |
---|
1593 | |
---|
1594 | typedef _Digraph Digraph; |
---|
1595 | typedef _CapacityMap CapacityMap; |
---|
1596 | typedef _FlowMap FlowMap; |
---|
1597 | typedef _Tolerance Tolerance; |
---|
1598 | |
---|
1599 | typedef typename Digraph::Arc Key; |
---|
1600 | typedef bool Value; |
---|
1601 | |
---|
1602 | private: |
---|
1603 | |
---|
1604 | const CapacityMap* _capacity; |
---|
1605 | const FlowMap* _flow; |
---|
1606 | Tolerance _tolerance; |
---|
1607 | |
---|
1608 | public: |
---|
1609 | |
---|
1610 | ResBackwardFilter(const CapacityMap& capacity, const FlowMap& flow, |
---|
1611 | const Tolerance& tolerance = Tolerance()) |
---|
1612 | : _capacity(&capacity), _flow(&flow), _tolerance(tolerance) { } |
---|
1613 | ResBackwardFilter(const Tolerance& tolerance = Tolerance()) |
---|
1614 | : _capacity(0), _flow(0), _tolerance(tolerance) { } |
---|
1615 | |
---|
1616 | void setCapacity(const CapacityMap& capacity) { _capacity = &capacity; } |
---|
1617 | void setFlow(const FlowMap& flow) { _flow = &flow; } |
---|
1618 | |
---|
1619 | bool operator[](const typename Digraph::Arc& a) const { |
---|
1620 | return _tolerance.positive((*_flow)[a]); |
---|
1621 | } |
---|
1622 | }; |
---|
1623 | |
---|
1624 | |
---|
1625 | ///\ingroup graph_adaptors |
---|
1626 | /// |
---|
1627 | ///\brief An adaptor for composing the residual graph for directed |
---|
1628 | ///flow and circulation problems. |
---|
1629 | /// |
---|
1630 | ///An adaptor for composing the residual graph for directed flow and |
---|
1631 | ///circulation problems. Let \f$ G=(V, A) \f$ be a directed digraph |
---|
1632 | ///and let \f$ F \f$ be a number type. Let moreover \f$ f,c:A\to F |
---|
1633 | ///\f$, be functions on the arc-set. |
---|
1634 | /// |
---|
1635 | ///In the appications of ResDigraphAdaptor, \f$ f \f$ usually stands |
---|
1636 | ///for a flow and \f$ c \f$ for a capacity function. Suppose that a |
---|
1637 | ///graph instance \c g of type \c ListDigraph implements \f$ G \f$. |
---|
1638 | /// |
---|
1639 | ///\code |
---|
1640 | /// ListDigraph g; |
---|
1641 | ///\endcode |
---|
1642 | /// |
---|
1643 | ///Then ResDigraphAdaptor implements the digraph structure with |
---|
1644 | /// node-set \f$ V \f$ and arc-set \f$ A_{forward}\cup A_{backward} |
---|
1645 | /// \f$, where \f$ A_{forward}=\{uv : uv\in A, f(uv)<c(uv)\} \f$ and |
---|
1646 | /// \f$ A_{backward}=\{vu : uv\in A, f(uv)>0\} \f$, i.e. the so |
---|
1647 | /// called residual graph. When we take the union \f$ |
---|
1648 | /// A_{forward}\cup A_{backward} \f$, multilicities are counted, |
---|
1649 | /// i.e. if an arc is in both \f$ A_{forward} \f$ and \f$ |
---|
1650 | /// A_{backward} \f$, then in the adaptor it appears twice. The |
---|
1651 | /// following code shows how such an instance can be constructed. |
---|
1652 | /// |
---|
1653 | ///\code |
---|
1654 | /// typedef ListDigraph Digraph; |
---|
1655 | /// IntArcMap f(g), c(g); |
---|
1656 | /// ResDigraphAdaptor<Digraph, int, IntArcMap, IntArcMap> ga(g); |
---|
1657 | ///\endcode |
---|
1658 | template<typename _Digraph, |
---|
1659 | typename _CapacityMap = typename _Digraph::template ArcMap<int>, |
---|
1660 | typename _FlowMap = _CapacityMap, |
---|
1661 | typename _Tolerance = Tolerance<typename _CapacityMap::Value> > |
---|
1662 | class ResDigraphAdaptor : |
---|
1663 | public ArcSubDigraphAdaptor< |
---|
1664 | UndirDigraphAdaptor<const _Digraph>, |
---|
1665 | typename UndirDigraphAdaptor<const _Digraph>::template CombinedArcMap< |
---|
1666 | ResForwardFilter<const _Digraph, _CapacityMap, _FlowMap>, |
---|
1667 | ResBackwardFilter<const _Digraph, _CapacityMap, _FlowMap> > > { |
---|
1668 | public: |
---|
1669 | |
---|
1670 | typedef _Digraph Digraph; |
---|
1671 | typedef _CapacityMap CapacityMap; |
---|
1672 | typedef _FlowMap FlowMap; |
---|
1673 | typedef _Tolerance Tolerance; |
---|
1674 | |
---|
1675 | typedef typename CapacityMap::Value Value; |
---|
1676 | typedef ResDigraphAdaptor Adaptor; |
---|
1677 | |
---|
1678 | protected: |
---|
1679 | |
---|
1680 | typedef UndirDigraphAdaptor<const Digraph> UndirDigraph; |
---|
1681 | |
---|
1682 | typedef ResForwardFilter<const Digraph, CapacityMap, FlowMap> |
---|
1683 | ForwardFilter; |
---|
1684 | |
---|
1685 | typedef ResBackwardFilter<const Digraph, CapacityMap, FlowMap> |
---|
1686 | BackwardFilter; |
---|
1687 | |
---|
1688 | typedef typename UndirDigraph:: |
---|
1689 | template CombinedArcMap<ForwardFilter, BackwardFilter> ArcFilter; |
---|
1690 | |
---|
1691 | typedef ArcSubDigraphAdaptor<UndirDigraph, ArcFilter> Parent; |
---|
1692 | |
---|
1693 | const CapacityMap* _capacity; |
---|
1694 | FlowMap* _flow; |
---|
1695 | |
---|
1696 | UndirDigraph _graph; |
---|
1697 | ForwardFilter _forward_filter; |
---|
1698 | BackwardFilter _backward_filter; |
---|
1699 | ArcFilter _arc_filter; |
---|
1700 | |
---|
1701 | void setCapacityMap(const CapacityMap& capacity) { |
---|
1702 | _capacity = &capacity; |
---|
1703 | _forward_filter.setCapacity(capacity); |
---|
1704 | _backward_filter.setCapacity(capacity); |
---|
1705 | } |
---|
1706 | |
---|
1707 | void setFlowMap(FlowMap& flow) { |
---|
1708 | _flow = &flow; |
---|
1709 | _forward_filter.setFlow(flow); |
---|
1710 | _backward_filter.setFlow(flow); |
---|
1711 | } |
---|
1712 | |
---|
1713 | public: |
---|
1714 | |
---|
1715 | /// \brief Constructor of the residual digraph. |
---|
1716 | /// |
---|
1717 | /// Constructor of the residual graph. The parameters are the digraph type, |
---|
1718 | /// the flow map, the capacity map and a tolerance object. |
---|
1719 | ResDigraphAdaptor(const Digraph& digraph, const CapacityMap& capacity, |
---|
1720 | FlowMap& flow, const Tolerance& tolerance = Tolerance()) |
---|
1721 | : Parent(), _capacity(&capacity), _flow(&flow), _graph(digraph), |
---|
1722 | _forward_filter(capacity, flow, tolerance), |
---|
1723 | _backward_filter(capacity, flow, tolerance), |
---|
1724 | _arc_filter(_forward_filter, _backward_filter) |
---|
1725 | { |
---|
1726 | Parent::setDigraph(_graph); |
---|
1727 | Parent::setArcFilterMap(_arc_filter); |
---|
1728 | } |
---|
1729 | |
---|
1730 | typedef typename Parent::Arc Arc; |
---|
1731 | |
---|
1732 | /// \brief Gives back the residual capacity of the arc. |
---|
1733 | /// |
---|
1734 | /// Gives back the residual capacity of the arc. |
---|
1735 | Value rescap(const Arc& arc) const { |
---|
1736 | if (UndirDigraph::direction(arc)) { |
---|
1737 | return (*_capacity)[arc] - (*_flow)[arc]; |
---|
1738 | } else { |
---|
1739 | return (*_flow)[arc]; |
---|
1740 | } |
---|
1741 | } |
---|
1742 | |
---|
1743 | /// \brief Augment on the given arc in the residual digraph. |
---|
1744 | /// |
---|
1745 | /// Augment on the given arc in the residual digraph. It increase |
---|
1746 | /// or decrease the flow on the original arc depend on the direction |
---|
1747 | /// of the residual arc. |
---|
1748 | void augment(const Arc& e, const Value& a) const { |
---|
1749 | if (UndirDigraph::direction(e)) { |
---|
1750 | _flow->set(e, (*_flow)[e] + a); |
---|
1751 | } else { |
---|
1752 | _flow->set(e, (*_flow)[e] - a); |
---|
1753 | } |
---|
1754 | } |
---|
1755 | |
---|
1756 | /// \brief Returns the direction of the arc. |
---|
1757 | /// |
---|
1758 | /// Returns true when the arc is same oriented as the original arc. |
---|
1759 | static bool forward(const Arc& e) { |
---|
1760 | return UndirDigraph::direction(e); |
---|
1761 | } |
---|
1762 | |
---|
1763 | /// \brief Returns the direction of the arc. |
---|
1764 | /// |
---|
1765 | /// Returns true when the arc is opposite oriented as the original arc. |
---|
1766 | static bool backward(const Arc& e) { |
---|
1767 | return !UndirDigraph::direction(e); |
---|
1768 | } |
---|
1769 | |
---|
1770 | /// \brief Gives back the forward oriented residual arc. |
---|
1771 | /// |
---|
1772 | /// Gives back the forward oriented residual arc. |
---|
1773 | static Arc forward(const typename Digraph::Arc& e) { |
---|
1774 | return UndirDigraph::direct(e, true); |
---|
1775 | } |
---|
1776 | |
---|
1777 | /// \brief Gives back the backward oriented residual arc. |
---|
1778 | /// |
---|
1779 | /// Gives back the backward oriented residual arc. |
---|
1780 | static Arc backward(const typename Digraph::Arc& e) { |
---|
1781 | return UndirDigraph::direct(e, false); |
---|
1782 | } |
---|
1783 | |
---|
1784 | /// \brief Residual capacity map. |
---|
1785 | /// |
---|
1786 | /// In generic residual digraphs the residual capacity can be obtained |
---|
1787 | /// as a map. |
---|
1788 | class ResCap { |
---|
1789 | protected: |
---|
1790 | const Adaptor* _adaptor; |
---|
1791 | public: |
---|
1792 | typedef Arc Key; |
---|
1793 | typedef typename _CapacityMap::Value Value; |
---|
1794 | |
---|
1795 | ResCap(const Adaptor& adaptor) : _adaptor(&adaptor) {} |
---|
1796 | |
---|
1797 | Value operator[](const Arc& e) const { |
---|
1798 | return _adaptor->rescap(e); |
---|
1799 | } |
---|
1800 | |
---|
1801 | }; |
---|
1802 | |
---|
1803 | }; |
---|
1804 | |
---|
1805 | /// \brief Base class for split digraph adaptor |
---|
1806 | /// |
---|
1807 | /// Base class of split digraph adaptor. In most case you do not need to |
---|
1808 | /// use it directly but the documented member functions of this class can |
---|
1809 | /// be used with the SplitDigraphAdaptor class. |
---|
1810 | /// \sa SplitDigraphAdaptor |
---|
1811 | template <typename _Digraph> |
---|
1812 | class SplitDigraphAdaptorBase { |
---|
1813 | public: |
---|
1814 | |
---|
1815 | typedef _Digraph Digraph; |
---|
1816 | typedef DigraphAdaptorBase<const _Digraph> Parent; |
---|
1817 | typedef SplitDigraphAdaptorBase Adaptor; |
---|
1818 | |
---|
1819 | typedef typename Digraph::Node DigraphNode; |
---|
1820 | typedef typename Digraph::Arc DigraphArc; |
---|
1821 | |
---|
1822 | class Node; |
---|
1823 | class Arc; |
---|
1824 | |
---|
1825 | private: |
---|
1826 | |
---|
1827 | template <typename T> class NodeMapBase; |
---|
1828 | template <typename T> class ArcMapBase; |
---|
1829 | |
---|
1830 | public: |
---|
1831 | |
---|
1832 | class Node : public DigraphNode { |
---|
1833 | friend class SplitDigraphAdaptorBase; |
---|
1834 | template <typename T> friend class NodeMapBase; |
---|
1835 | private: |
---|
1836 | |
---|
1837 | bool _in; |
---|
1838 | Node(DigraphNode node, bool in) |
---|
1839 | : DigraphNode(node), _in(in) {} |
---|
1840 | |
---|
1841 | public: |
---|
1842 | |
---|
1843 | Node() {} |
---|
1844 | Node(Invalid) : DigraphNode(INVALID), _in(true) {} |
---|
1845 | |
---|
1846 | bool operator==(const Node& node) const { |
---|
1847 | return DigraphNode::operator==(node) && _in == node._in; |
---|
1848 | } |
---|
1849 | |
---|
1850 | bool operator!=(const Node& node) const { |
---|
1851 | return !(*this == node); |
---|
1852 | } |
---|
1853 | |
---|
1854 | bool operator<(const Node& node) const { |
---|
1855 | return DigraphNode::operator<(node) || |
---|
1856 | (DigraphNode::operator==(node) && _in < node._in); |
---|
1857 | } |
---|
1858 | }; |
---|
1859 | |
---|
1860 | class Arc { |
---|
1861 | friend class SplitDigraphAdaptorBase; |
---|
1862 | template <typename T> friend class ArcMapBase; |
---|
1863 | private: |
---|
1864 | typedef BiVariant<DigraphArc, DigraphNode> ArcImpl; |
---|
1865 | |
---|
1866 | explicit Arc(const DigraphArc& arc) : _item(arc) {} |
---|
1867 | explicit Arc(const DigraphNode& node) : _item(node) {} |
---|
1868 | |
---|
1869 | ArcImpl _item; |
---|
1870 | |
---|
1871 | public: |
---|
1872 | Arc() {} |
---|
1873 | Arc(Invalid) : _item(DigraphArc(INVALID)) {} |
---|
1874 | |
---|
1875 | bool operator==(const Arc& arc) const { |
---|
1876 | if (_item.firstState()) { |
---|
1877 | if (arc._item.firstState()) { |
---|
1878 | return _item.first() == arc._item.first(); |
---|
1879 | } |
---|
1880 | } else { |
---|
1881 | if (arc._item.secondState()) { |
---|
1882 | return _item.second() == arc._item.second(); |
---|
1883 | } |
---|
1884 | } |
---|
1885 | return false; |
---|
1886 | } |
---|
1887 | |
---|
1888 | bool operator!=(const Arc& arc) const { |
---|
1889 | return !(*this == arc); |
---|
1890 | } |
---|
1891 | |
---|
1892 | bool operator<(const Arc& arc) const { |
---|
1893 | if (_item.firstState()) { |
---|
1894 | if (arc._item.firstState()) { |
---|
1895 | return _item.first() < arc._item.first(); |
---|
1896 | } |
---|
1897 | return false; |
---|
1898 | } else { |
---|
1899 | if (arc._item.secondState()) { |
---|
1900 | return _item.second() < arc._item.second(); |
---|
1901 | } |
---|
1902 | return true; |
---|
1903 | } |
---|
1904 | } |
---|
1905 | |
---|
1906 | operator DigraphArc() const { return _item.first(); } |
---|
1907 | operator DigraphNode() const { return _item.second(); } |
---|
1908 | |
---|
1909 | }; |
---|
1910 | |
---|
1911 | void first(Node& n) const { |
---|
1912 | _digraph->first(n); |
---|
1913 | n._in = true; |
---|
1914 | } |
---|
1915 | |
---|
1916 | void next(Node& n) const { |
---|
1917 | if (n._in) { |
---|
1918 | n._in = false; |
---|
1919 | } else { |
---|
1920 | n._in = true; |
---|
1921 | _digraph->next(n); |
---|
1922 | } |
---|
1923 | } |
---|
1924 | |
---|
1925 | void first(Arc& e) const { |
---|
1926 | e._item.setSecond(); |
---|
1927 | _digraph->first(e._item.second()); |
---|
1928 | if (e._item.second() == INVALID) { |
---|
1929 | e._item.setFirst(); |
---|
1930 | _digraph->first(e._item.first()); |
---|
1931 | } |
---|
1932 | } |
---|
1933 | |
---|
1934 | void next(Arc& e) const { |
---|
1935 | if (e._item.secondState()) { |
---|
1936 | _digraph->next(e._item.second()); |
---|
1937 | if (e._item.second() == INVALID) { |
---|
1938 | e._item.setFirst(); |
---|
1939 | _digraph->first(e._item.first()); |
---|
1940 | } |
---|
1941 | } else { |
---|
1942 | _digraph->next(e._item.first()); |
---|
1943 | } |
---|
1944 | } |
---|
1945 | |
---|
1946 | void firstOut(Arc& e, const Node& n) const { |
---|
1947 | if (n._in) { |
---|
1948 | e._item.setSecond(n); |
---|
1949 | } else { |
---|
1950 | e._item.setFirst(); |
---|
1951 | _digraph->firstOut(e._item.first(), n); |
---|
1952 | } |
---|
1953 | } |
---|
1954 | |
---|
1955 | void nextOut(Arc& e) const { |
---|
1956 | if (!e._item.firstState()) { |
---|
1957 | e._item.setFirst(INVALID); |
---|
1958 | } else { |
---|
1959 | _digraph->nextOut(e._item.first()); |
---|
1960 | } |
---|
1961 | } |
---|
1962 | |
---|
1963 | void firstIn(Arc& e, const Node& n) const { |
---|
1964 | if (!n._in) { |
---|
1965 | e._item.setSecond(n); |
---|
1966 | } else { |
---|
1967 | e._item.setFirst(); |
---|
1968 | _digraph->firstIn(e._item.first(), n); |
---|
1969 | } |
---|
1970 | } |
---|
1971 | |
---|
1972 | void nextIn(Arc& e) const { |
---|
1973 | if (!e._item.firstState()) { |
---|
1974 | e._item.setFirst(INVALID); |
---|
1975 | } else { |
---|
1976 | _digraph->nextIn(e._item.first()); |
---|
1977 | } |
---|
1978 | } |
---|
1979 | |
---|
1980 | Node source(const Arc& e) const { |
---|
1981 | if (e._item.firstState()) { |
---|
1982 | return Node(_digraph->source(e._item.first()), false); |
---|
1983 | } else { |
---|
1984 | return Node(e._item.second(), true); |
---|
1985 | } |
---|
1986 | } |
---|
1987 | |
---|
1988 | Node target(const Arc& e) const { |
---|
1989 | if (e._item.firstState()) { |
---|
1990 | return Node(_digraph->target(e._item.first()), true); |
---|
1991 | } else { |
---|
1992 | return Node(e._item.second(), false); |
---|
1993 | } |
---|
1994 | } |
---|
1995 | |
---|
1996 | int id(const Node& n) const { |
---|
1997 | return (_digraph->id(n) << 1) | (n._in ? 0 : 1); |
---|
1998 | } |
---|
1999 | Node nodeFromId(int ix) const { |
---|
2000 | return Node(_digraph->nodeFromId(ix >> 1), (ix & 1) == 0); |
---|
2001 | } |
---|
2002 | int maxNodeId() const { |
---|
2003 | return 2 * _digraph->maxNodeId() + 1; |
---|
2004 | } |
---|
2005 | |
---|
2006 | int id(const Arc& e) const { |
---|
2007 | if (e._item.firstState()) { |
---|
2008 | return _digraph->id(e._item.first()) << 1; |
---|
2009 | } else { |
---|
2010 | return (_digraph->id(e._item.second()) << 1) | 1; |
---|
2011 | } |
---|
2012 | } |
---|
2013 | Arc arcFromId(int ix) const { |
---|
2014 | if ((ix & 1) == 0) { |
---|
2015 | return Arc(_digraph->arcFromId(ix >> 1)); |
---|
2016 | } else { |
---|
2017 | return Arc(_digraph->nodeFromId(ix >> 1)); |
---|
2018 | } |
---|
2019 | } |
---|
2020 | int maxArcId() const { |
---|
2021 | return std::max(_digraph->maxNodeId() << 1, |
---|
2022 | (_digraph->maxArcId() << 1) | 1); |
---|
2023 | } |
---|
2024 | |
---|
2025 | /// \brief Returns true when the node is in-node. |
---|
2026 | /// |
---|
2027 | /// Returns true when the node is in-node. |
---|
2028 | static bool inNode(const Node& n) { |
---|
2029 | return n._in; |
---|
2030 | } |
---|
2031 | |
---|
2032 | /// \brief Returns true when the node is out-node. |
---|
2033 | /// |
---|
2034 | /// Returns true when the node is out-node. |
---|
2035 | static bool outNode(const Node& n) { |
---|
2036 | return !n._in; |
---|
2037 | } |
---|
2038 | |
---|
2039 | /// \brief Returns true when the arc is arc in the original digraph. |
---|
2040 | /// |
---|
2041 | /// Returns true when the arc is arc in the original digraph. |
---|
2042 | static bool origArc(const Arc& e) { |
---|
2043 | return e._item.firstState(); |
---|
2044 | } |
---|
2045 | |
---|
2046 | /// \brief Returns true when the arc binds an in-node and an out-node. |
---|
2047 | /// |
---|
2048 | /// Returns true when the arc binds an in-node and an out-node. |
---|
2049 | static bool bindArc(const Arc& e) { |
---|
2050 | return e._item.secondState(); |
---|
2051 | } |
---|
2052 | |
---|
2053 | /// \brief Gives back the in-node created from the \c node. |
---|
2054 | /// |
---|
2055 | /// Gives back the in-node created from the \c node. |
---|
2056 | static Node inNode(const DigraphNode& n) { |
---|
2057 | return Node(n, true); |
---|
2058 | } |
---|
2059 | |
---|
2060 | /// \brief Gives back the out-node created from the \c node. |
---|
2061 | /// |
---|
2062 | /// Gives back the out-node created from the \c node. |
---|
2063 | static Node outNode(const DigraphNode& n) { |
---|
2064 | return Node(n, false); |
---|
2065 | } |
---|
2066 | |
---|
2067 | /// \brief Gives back the arc binds the two part of the node. |
---|
2068 | /// |
---|
2069 | /// Gives back the arc binds the two part of the node. |
---|
2070 | static Arc arc(const DigraphNode& n) { |
---|
2071 | return Arc(n); |
---|
2072 | } |
---|
2073 | |
---|
2074 | /// \brief Gives back the arc of the original arc. |
---|
2075 | /// |
---|
2076 | /// Gives back the arc of the original arc. |
---|
2077 | static Arc arc(const DigraphArc& e) { |
---|
2078 | return Arc(e); |
---|
2079 | } |
---|
2080 | |
---|
2081 | typedef True NodeNumTag; |
---|
2082 | |
---|
2083 | int nodeNum() const { |
---|
2084 | return 2 * countNodes(*_digraph); |
---|
2085 | } |
---|
2086 | |
---|
2087 | typedef True EdgeNumTag; |
---|
2088 | int arcNum() const { |
---|
2089 | return countArcs(*_digraph) + countNodes(*_digraph); |
---|
2090 | } |
---|
2091 | |
---|
2092 | typedef True FindEdgeTag; |
---|
2093 | Arc findArc(const Node& u, const Node& v, |
---|
2094 | const Arc& prev = INVALID) const { |
---|
2095 | if (inNode(u)) { |
---|
2096 | if (outNode(v)) { |
---|
2097 | if (static_cast<const DigraphNode&>(u) == |
---|
2098 | static_cast<const DigraphNode&>(v) && prev == INVALID) { |
---|
2099 | return Arc(u); |
---|
2100 | } |
---|
2101 | } |
---|
2102 | } else { |
---|
2103 | if (inNode(v)) { |
---|
2104 | return Arc(::lemon::findArc(*_digraph, u, v, prev)); |
---|
2105 | } |
---|
2106 | } |
---|
2107 | return INVALID; |
---|
2108 | } |
---|
2109 | |
---|
2110 | private: |
---|
2111 | |
---|
2112 | template <typename _Value> |
---|
2113 | class NodeMapBase |
---|
2114 | : public MapTraits<typename Parent::template NodeMap<_Value> > { |
---|
2115 | typedef typename Parent::template NodeMap<_Value> NodeImpl; |
---|
2116 | public: |
---|
2117 | typedef Node Key; |
---|
2118 | typedef _Value Value; |
---|
2119 | |
---|
2120 | NodeMapBase(const Adaptor& adaptor) |
---|
2121 | : _in_map(*adaptor._digraph), _out_map(*adaptor._digraph) {} |
---|
2122 | NodeMapBase(const Adaptor& adaptor, const Value& value) |
---|
2123 | : _in_map(*adaptor._digraph, value), |
---|
2124 | _out_map(*adaptor._digraph, value) {} |
---|
2125 | |
---|
2126 | void set(const Node& key, const Value& val) { |
---|
2127 | if (Adaptor::inNode(key)) { _in_map.set(key, val); } |
---|
2128 | else {_out_map.set(key, val); } |
---|
2129 | } |
---|
2130 | |
---|
2131 | typename MapTraits<NodeImpl>::ReturnValue |
---|
2132 | operator[](const Node& key) { |
---|
2133 | if (Adaptor::inNode(key)) { return _in_map[key]; } |
---|
2134 | else { return _out_map[key]; } |
---|
2135 | } |
---|
2136 | |
---|
2137 | typename MapTraits<NodeImpl>::ConstReturnValue |
---|
2138 | operator[](const Node& key) const { |
---|
2139 | if (Adaptor::inNode(key)) { return _in_map[key]; } |
---|
2140 | else { return _out_map[key]; } |
---|
2141 | } |
---|
2142 | |
---|
2143 | private: |
---|
2144 | NodeImpl _in_map, _out_map; |
---|
2145 | }; |
---|
2146 | |
---|
2147 | template <typename _Value> |
---|
2148 | class ArcMapBase |
---|
2149 | : public MapTraits<typename Parent::template ArcMap<_Value> > { |
---|
2150 | typedef typename Parent::template ArcMap<_Value> ArcImpl; |
---|
2151 | typedef typename Parent::template NodeMap<_Value> NodeImpl; |
---|
2152 | public: |
---|
2153 | typedef Arc Key; |
---|
2154 | typedef _Value Value; |
---|
2155 | |
---|
2156 | ArcMapBase(const Adaptor& adaptor) |
---|
2157 | : _arc_map(*adaptor._digraph), _node_map(*adaptor._digraph) {} |
---|
2158 | ArcMapBase(const Adaptor& adaptor, const Value& value) |
---|
2159 | : _arc_map(*adaptor._digraph, value), |
---|
2160 | _node_map(*adaptor._digraph, value) {} |
---|
2161 | |
---|
2162 | void set(const Arc& key, const Value& val) { |
---|
2163 | if (Adaptor::origArc(key)) { |
---|
2164 | _arc_map.set(key._item.first(), val); |
---|
2165 | } else { |
---|
2166 | _node_map.set(key._item.second(), val); |
---|
2167 | } |
---|
2168 | } |
---|
2169 | |
---|
2170 | typename MapTraits<ArcImpl>::ReturnValue |
---|
2171 | operator[](const Arc& key) { |
---|
2172 | if (Adaptor::origArc(key)) { |
---|
2173 | return _arc_map[key._item.first()]; |
---|
2174 | } else { |
---|
2175 | return _node_map[key._item.second()]; |
---|
2176 | } |
---|
2177 | } |
---|
2178 | |
---|
2179 | typename MapTraits<ArcImpl>::ConstReturnValue |
---|
2180 | operator[](const Arc& key) const { |
---|
2181 | if (Adaptor::origArc(key)) { |
---|
2182 | return _arc_map[key._item.first()]; |
---|
2183 | } else { |
---|
2184 | return _node_map[key._item.second()]; |
---|
2185 | } |
---|
2186 | } |
---|
2187 | |
---|
2188 | private: |
---|
2189 | ArcImpl _arc_map; |
---|
2190 | NodeImpl _node_map; |
---|
2191 | }; |
---|
2192 | |
---|
2193 | public: |
---|
2194 | |
---|
2195 | template <typename _Value> |
---|
2196 | class NodeMap |
---|
2197 | : public SubMapExtender<Adaptor, NodeMapBase<_Value> > |
---|
2198 | { |
---|
2199 | public: |
---|
2200 | typedef _Value Value; |
---|
2201 | typedef SubMapExtender<Adaptor, NodeMapBase<Value> > Parent; |
---|
2202 | |
---|
2203 | NodeMap(const Adaptor& adaptor) |
---|
2204 | : Parent(adaptor) {} |
---|
2205 | |
---|
2206 | NodeMap(const Adaptor& adaptor, const Value& value) |
---|
2207 | : Parent(adaptor, value) {} |
---|
2208 | |
---|
2209 | private: |
---|
2210 | NodeMap& operator=(const NodeMap& cmap) { |
---|
2211 | return operator=<NodeMap>(cmap); |
---|
2212 | } |
---|
2213 | |
---|
2214 | template <typename CMap> |
---|
2215 | NodeMap& operator=(const CMap& cmap) { |
---|
2216 | Parent::operator=(cmap); |
---|
2217 | return *this; |
---|
2218 | } |
---|
2219 | }; |
---|
2220 | |
---|
2221 | template <typename _Value> |
---|
2222 | class ArcMap |
---|
2223 | : public SubMapExtender<Adaptor, ArcMapBase<_Value> > |
---|
2224 | { |
---|
2225 | public: |
---|
2226 | typedef _Value Value; |
---|
2227 | typedef SubMapExtender<Adaptor, ArcMapBase<Value> > Parent; |
---|
2228 | |
---|
2229 | ArcMap(const Adaptor& adaptor) |
---|
2230 | : Parent(adaptor) {} |
---|
2231 | |
---|
2232 | ArcMap(const Adaptor& adaptor, const Value& value) |
---|
2233 | : Parent(adaptor, value) {} |
---|
2234 | |
---|
2235 | private: |
---|
2236 | ArcMap& operator=(const ArcMap& cmap) { |
---|
2237 | return operator=<ArcMap>(cmap); |
---|
2238 | } |
---|
2239 | |
---|
2240 | template <typename CMap> |
---|
2241 | ArcMap& operator=(const CMap& cmap) { |
---|
2242 | Parent::operator=(cmap); |
---|
2243 | return *this; |
---|
2244 | } |
---|
2245 | }; |
---|
2246 | |
---|
2247 | protected: |
---|
2248 | |
---|
2249 | SplitDigraphAdaptorBase() : _digraph(0) {} |
---|
2250 | |
---|
2251 | Digraph* _digraph; |
---|
2252 | |
---|
2253 | void setDigraph(Digraph& digraph) { |
---|
2254 | _digraph = &digraph; |
---|
2255 | } |
---|
2256 | |
---|
2257 | }; |
---|
2258 | |
---|
2259 | /// \ingroup graph_adaptors |
---|
2260 | /// |
---|
2261 | /// \brief Split digraph adaptor class |
---|
2262 | /// |
---|
2263 | /// This is an digraph adaptor which splits all node into an in-node |
---|
2264 | /// and an out-node. Formaly, the adaptor replaces each \f$ u \f$ |
---|
2265 | /// node in the digraph with two node, \f$ u_{in} \f$ node and |
---|
2266 | /// \f$ u_{out} \f$ node. If there is an \f$ (v, u) \f$ arc in the |
---|
2267 | /// original digraph the new target of the arc will be \f$ u_{in} \f$ and |
---|
2268 | /// similarly the source of the original \f$ (u, v) \f$ arc will be |
---|
2269 | /// \f$ u_{out} \f$. The adaptor will add for each node in the |
---|
2270 | /// original digraph an additional arc which will connect |
---|
2271 | /// \f$ (u_{in}, u_{out}) \f$. |
---|
2272 | /// |
---|
2273 | /// The aim of this class is to run algorithm with node costs if the |
---|
2274 | /// algorithm can use directly just arc costs. In this case we should use |
---|
2275 | /// a \c SplitDigraphAdaptor and set the node cost of the digraph to the |
---|
2276 | /// bind arc in the adapted digraph. |
---|
2277 | /// |
---|
2278 | /// By example a maximum flow algoritm can compute how many arc |
---|
2279 | /// disjoint paths are in the digraph. But we would like to know how |
---|
2280 | /// many node disjoint paths are in the digraph. First we have to |
---|
2281 | /// adapt the digraph with the \c SplitDigraphAdaptor. Then run the flow |
---|
2282 | /// algorithm on the adapted digraph. The bottleneck of the flow will |
---|
2283 | /// be the bind arcs which bounds the flow with the count of the |
---|
2284 | /// node disjoint paths. |
---|
2285 | /// |
---|
2286 | ///\code |
---|
2287 | /// |
---|
2288 | /// typedef SplitDigraphAdaptor<SmartDigraph> SDigraph; |
---|
2289 | /// |
---|
2290 | /// SDigraph sdigraph(digraph); |
---|
2291 | /// |
---|
2292 | /// typedef ConstMap<SDigraph::Arc, int> SCapacity; |
---|
2293 | /// SCapacity scapacity(1); |
---|
2294 | /// |
---|
2295 | /// SDigraph::ArcMap<int> sflow(sdigraph); |
---|
2296 | /// |
---|
2297 | /// Preflow<SDigraph, SCapacity> |
---|
2298 | /// spreflow(sdigraph, scapacity, |
---|
2299 | /// SDigraph::outNode(source), SDigraph::inNode(target)); |
---|
2300 | /// |
---|
2301 | /// spreflow.run(); |
---|
2302 | /// |
---|
2303 | ///\endcode |
---|
2304 | /// |
---|
2305 | /// The result of the mamixum flow on the original digraph |
---|
2306 | /// shows the next figure: |
---|
2307 | /// |
---|
2308 | /// \image html arc_disjoint.png |
---|
2309 | /// \image latex arc_disjoint.eps "Arc disjoint paths" width=\textwidth |
---|
2310 | /// |
---|
2311 | /// And the maximum flow on the adapted digraph: |
---|
2312 | /// |
---|
2313 | /// \image html node_disjoint.png |
---|
2314 | /// \image latex node_disjoint.eps "Node disjoint paths" width=\textwidth |
---|
2315 | /// |
---|
2316 | /// The second solution contains just 3 disjoint paths while the first 4. |
---|
2317 | /// The full code can be found in the \ref disjoint_paths_demo.cc demo file. |
---|
2318 | /// |
---|
2319 | /// This digraph adaptor is fully conform to the |
---|
2320 | /// \ref concepts::Digraph "Digraph" concept and |
---|
2321 | /// contains some additional member functions and types. The |
---|
2322 | /// documentation of some member functions may be found just in the |
---|
2323 | /// SplitDigraphAdaptorBase class. |
---|
2324 | /// |
---|
2325 | /// \sa SplitDigraphAdaptorBase |
---|
2326 | template <typename _Digraph> |
---|
2327 | class SplitDigraphAdaptor |
---|
2328 | : public DigraphAdaptorExtender<SplitDigraphAdaptorBase<_Digraph> > { |
---|
2329 | public: |
---|
2330 | typedef _Digraph Digraph; |
---|
2331 | typedef DigraphAdaptorExtender<SplitDigraphAdaptorBase<Digraph> > Parent; |
---|
2332 | |
---|
2333 | typedef typename Parent::Node Node; |
---|
2334 | typedef typename Parent::Arc Arc; |
---|
2335 | |
---|
2336 | /// \brief Constructor of the adaptor. |
---|
2337 | /// |
---|
2338 | /// Constructor of the adaptor. |
---|
2339 | SplitDigraphAdaptor(Digraph& g) { |
---|
2340 | Parent::setDigraph(g); |
---|
2341 | } |
---|
2342 | |
---|
2343 | /// \brief NodeMap combined from two original NodeMap |
---|
2344 | /// |
---|
2345 | /// This class adapt two of the original digraph NodeMap to |
---|
2346 | /// get a node map on the adapted digraph. |
---|
2347 | template <typename InNodeMap, typename OutNodeMap> |
---|
2348 | class CombinedNodeMap { |
---|
2349 | public: |
---|
2350 | |
---|
2351 | typedef Node Key; |
---|
2352 | typedef typename InNodeMap::Value Value; |
---|
2353 | |
---|
2354 | /// \brief Constructor |
---|
2355 | /// |
---|
2356 | /// Constructor. |
---|
2357 | CombinedNodeMap(InNodeMap& in_map, OutNodeMap& out_map) |
---|
2358 | : _in_map(in_map), _out_map(out_map) {} |
---|
2359 | |
---|
2360 | /// \brief The subscript operator. |
---|
2361 | /// |
---|
2362 | /// The subscript operator. |
---|
2363 | Value& operator[](const Key& key) { |
---|
2364 | if (Parent::inNode(key)) { |
---|
2365 | return _in_map[key]; |
---|
2366 | } else { |
---|
2367 | return _out_map[key]; |
---|
2368 | } |
---|
2369 | } |
---|
2370 | |
---|
2371 | /// \brief The const subscript operator. |
---|
2372 | /// |
---|
2373 | /// The const subscript operator. |
---|
2374 | Value operator[](const Key& key) const { |
---|
2375 | if (Parent::inNode(key)) { |
---|
2376 | return _in_map[key]; |
---|
2377 | } else { |
---|
2378 | return _out_map[key]; |
---|
2379 | } |
---|
2380 | } |
---|
2381 | |
---|
2382 | /// \brief The setter function of the map. |
---|
2383 | /// |
---|
2384 | /// The setter function of the map. |
---|
2385 | void set(const Key& key, const Value& value) { |
---|
2386 | if (Parent::inNode(key)) { |
---|
2387 | _in_map.set(key, value); |
---|
2388 | } else { |
---|
2389 | _out_map.set(key, value); |
---|
2390 | } |
---|
2391 | } |
---|
2392 | |
---|
2393 | private: |
---|
2394 | |
---|
2395 | InNodeMap& _in_map; |
---|
2396 | OutNodeMap& _out_map; |
---|
2397 | |
---|
2398 | }; |
---|
2399 | |
---|
2400 | |
---|
2401 | /// \brief Just gives back a combined node map. |
---|
2402 | /// |
---|
2403 | /// Just gives back a combined node map. |
---|
2404 | template <typename InNodeMap, typename OutNodeMap> |
---|
2405 | static CombinedNodeMap<InNodeMap, OutNodeMap> |
---|
2406 | combinedNodeMap(InNodeMap& in_map, OutNodeMap& out_map) { |
---|
2407 | return CombinedNodeMap<InNodeMap, OutNodeMap>(in_map, out_map); |
---|
2408 | } |
---|
2409 | |
---|
2410 | template <typename InNodeMap, typename OutNodeMap> |
---|
2411 | static CombinedNodeMap<const InNodeMap, OutNodeMap> |
---|
2412 | combinedNodeMap(const InNodeMap& in_map, OutNodeMap& out_map) { |
---|
2413 | return CombinedNodeMap<const InNodeMap, OutNodeMap>(in_map, out_map); |
---|
2414 | } |
---|
2415 | |
---|
2416 | template <typename InNodeMap, typename OutNodeMap> |
---|
2417 | static CombinedNodeMap<InNodeMap, const OutNodeMap> |
---|
2418 | combinedNodeMap(InNodeMap& in_map, const OutNodeMap& out_map) { |
---|
2419 | return CombinedNodeMap<InNodeMap, const OutNodeMap>(in_map, out_map); |
---|
2420 | } |
---|
2421 | |
---|
2422 | template <typename InNodeMap, typename OutNodeMap> |
---|
2423 | static CombinedNodeMap<const InNodeMap, const OutNodeMap> |
---|
2424 | combinedNodeMap(const InNodeMap& in_map, const OutNodeMap& out_map) { |
---|
2425 | return CombinedNodeMap<const InNodeMap, |
---|
2426 | const OutNodeMap>(in_map, out_map); |
---|
2427 | } |
---|
2428 | |
---|
2429 | /// \brief ArcMap combined from an original ArcMap and NodeMap |
---|
2430 | /// |
---|
2431 | /// This class adapt an original digraph ArcMap and NodeMap to |
---|
2432 | /// get an arc map on the adapted digraph. |
---|
2433 | template <typename DigraphArcMap, typename DigraphNodeMap> |
---|
2434 | class CombinedArcMap { |
---|
2435 | public: |
---|
2436 | |
---|
2437 | typedef Arc Key; |
---|
2438 | typedef typename DigraphArcMap::Value Value; |
---|
2439 | |
---|
2440 | /// \brief Constructor |
---|
2441 | /// |
---|
2442 | /// Constructor. |
---|
2443 | CombinedArcMap(DigraphArcMap& arc_map, DigraphNodeMap& node_map) |
---|
2444 | : _arc_map(arc_map), _node_map(node_map) {} |
---|
2445 | |
---|
2446 | /// \brief The subscript operator. |
---|
2447 | /// |
---|
2448 | /// The subscript operator. |
---|
2449 | void set(const Arc& arc, const Value& val) { |
---|
2450 | if (Parent::origArc(arc)) { |
---|
2451 | _arc_map.set(arc, val); |
---|
2452 | } else { |
---|
2453 | _node_map.set(arc, val); |
---|
2454 | } |
---|
2455 | } |
---|
2456 | |
---|
2457 | /// \brief The const subscript operator. |
---|
2458 | /// |
---|
2459 | /// The const subscript operator. |
---|
2460 | Value operator[](const Key& arc) const { |
---|
2461 | if (Parent::origArc(arc)) { |
---|
2462 | return _arc_map[arc]; |
---|
2463 | } else { |
---|
2464 | return _node_map[arc]; |
---|
2465 | } |
---|
2466 | } |
---|
2467 | |
---|
2468 | /// \brief The const subscript operator. |
---|
2469 | /// |
---|
2470 | /// The const subscript operator. |
---|
2471 | Value& operator[](const Key& arc) { |
---|
2472 | if (Parent::origArc(arc)) { |
---|
2473 | return _arc_map[arc]; |
---|
2474 | } else { |
---|
2475 | return _node_map[arc]; |
---|
2476 | } |
---|
2477 | } |
---|
2478 | |
---|
2479 | private: |
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2480 | DigraphArcMap& _arc_map; |
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2481 | DigraphNodeMap& _node_map; |
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2482 | }; |
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2483 | |
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2484 | /// \brief Just gives back a combined arc map. |
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2485 | /// |
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2486 | /// Just gives back a combined arc map. |
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2487 | template <typename DigraphArcMap, typename DigraphNodeMap> |
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2488 | static CombinedArcMap<DigraphArcMap, DigraphNodeMap> |
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2489 | combinedArcMap(DigraphArcMap& arc_map, DigraphNodeMap& node_map) { |
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2490 | return CombinedArcMap<DigraphArcMap, DigraphNodeMap>(arc_map, node_map); |
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2491 | } |
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2492 | |
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2493 | template <typename DigraphArcMap, typename DigraphNodeMap> |
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2494 | static CombinedArcMap<const DigraphArcMap, DigraphNodeMap> |
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2495 | combinedArcMap(const DigraphArcMap& arc_map, DigraphNodeMap& node_map) { |
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2496 | return CombinedArcMap<const DigraphArcMap, |
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2497 | DigraphNodeMap>(arc_map, node_map); |
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2498 | } |
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2499 | |
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2500 | template <typename DigraphArcMap, typename DigraphNodeMap> |
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2501 | static CombinedArcMap<DigraphArcMap, const DigraphNodeMap> |
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2502 | combinedArcMap(DigraphArcMap& arc_map, const DigraphNodeMap& node_map) { |
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2503 | return CombinedArcMap<DigraphArcMap, |
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2504 | const DigraphNodeMap>(arc_map, node_map); |
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2505 | } |
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2506 | |
---|
2507 | template <typename DigraphArcMap, typename DigraphNodeMap> |
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2508 | static CombinedArcMap<const DigraphArcMap, const DigraphNodeMap> |
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2509 | combinedArcMap(const DigraphArcMap& arc_map, |
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2510 | const DigraphNodeMap& node_map) { |
---|
2511 | return CombinedArcMap<const DigraphArcMap, |
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2512 | const DigraphNodeMap>(arc_map, node_map); |
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2513 | } |
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2514 | |
---|
2515 | }; |
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2516 | |
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2517 | /// \brief Just gives back a split digraph adaptor |
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2518 | /// |
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2519 | /// Just gives back a split digraph adaptor |
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2520 | template<typename Digraph> |
---|
2521 | SplitDigraphAdaptor<Digraph> |
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2522 | splitDigraphAdaptor(const Digraph& digraph) { |
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2523 | return SplitDigraphAdaptor<Digraph>(digraph); |
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2524 | } |
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2525 | |
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2526 | |
---|
2527 | } //namespace lemon |
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2528 | |
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2529 | #endif //LEMON_DIGRAPH_ADAPTOR_H |
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2530 | |
---|