1 | /* -*- C++ -*- |
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2 | * lemon/graph_extender.h - Part of LEMON, a generic C++ optimization library |
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3 | * |
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4 | * Copyright (C) 2006 Egervary Jeno Kombinatorikus Optimalizalasi |
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5 | * Kutatocsoport (Egervary Research Group on Combinatorial Optimization, |
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6 | * EGRES). |
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7 | * |
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8 | * Permission to use, modify and distribute this software is granted |
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9 | * provided that this copyright notice appears in all copies. For |
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10 | * precise terms see the accompanying LICENSE file. |
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11 | * |
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12 | * This software is provided "AS IS" with no warranty of any kind, |
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13 | * express or implied, and with no claim as to its suitability for any |
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14 | * purpose. |
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15 | * |
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16 | */ |
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17 | |
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18 | #ifndef LEMON_GRAPH_EXTENDER_H |
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19 | #define LEMON_GRAPH_EXTENDER_H |
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20 | |
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21 | #include <lemon/invalid.h> |
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22 | #include <lemon/error.h> |
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23 | |
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24 | namespace lemon { |
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25 | |
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26 | template <typename _Base> |
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27 | class GraphExtender : public _Base { |
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28 | public: |
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29 | |
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30 | typedef _Base Parent; |
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31 | typedef GraphExtender Graph; |
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32 | |
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33 | typedef typename Parent::Node Node; |
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34 | typedef typename Parent::Edge Edge; |
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35 | |
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36 | int maxId(Node) const { |
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37 | return Parent::maxNodeId(); |
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38 | } |
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39 | |
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40 | int maxId(Edge) const { |
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41 | return Parent::maxEdgeId(); |
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42 | } |
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43 | |
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44 | Node fromId(int id, Node) const { |
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45 | return Parent::nodeFromId(id); |
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46 | } |
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47 | |
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48 | Edge fromId(int id, Edge) const { |
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49 | return Parent::edgeFromId(id); |
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50 | } |
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51 | |
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52 | Node oppositeNode(const Node &n, const Edge &e) const { |
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53 | if (n == Parent::source(e)) |
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54 | return Parent::target(e); |
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55 | else if(n==Parent::target(e)) |
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56 | return Parent::source(e); |
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57 | else |
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58 | return INVALID; |
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59 | } |
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60 | |
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61 | }; |
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62 | |
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63 | template <typename _Base> |
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64 | class UndirGraphExtender : public _Base { |
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65 | typedef _Base Parent; |
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66 | typedef UndirGraphExtender Graph; |
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67 | |
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68 | public: |
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69 | |
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70 | typedef typename Parent::Edge UndirEdge; |
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71 | typedef typename Parent::Node Node; |
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72 | |
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73 | class Edge : public UndirEdge { |
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74 | friend class UndirGraphExtender; |
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75 | |
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76 | protected: |
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77 | // FIXME: Marci use opposite logic in his graph adaptors. It would |
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78 | // be reasonable to syncronize... |
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79 | bool forward; |
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80 | |
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81 | Edge(const UndirEdge &ue, bool _forward) : |
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82 | UndirEdge(ue), forward(_forward) {} |
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83 | |
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84 | public: |
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85 | Edge() {} |
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86 | |
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87 | /// Invalid edge constructor |
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88 | Edge(Invalid i) : UndirEdge(i), forward(true) {} |
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89 | |
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90 | bool operator==(const Edge &that) const { |
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91 | return forward==that.forward && UndirEdge(*this)==UndirEdge(that); |
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92 | } |
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93 | bool operator!=(const Edge &that) const { |
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94 | return forward!=that.forward || UndirEdge(*this)!=UndirEdge(that); |
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95 | } |
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96 | bool operator<(const Edge &that) const { |
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97 | return forward<that.forward || |
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98 | (!(that.forward<forward) && UndirEdge(*this)<UndirEdge(that)); |
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99 | } |
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100 | }; |
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101 | |
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102 | |
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103 | /// \brief Edge of opposite direction. |
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104 | /// |
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105 | /// Returns the Edge of opposite direction. |
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106 | Edge oppositeEdge(const Edge &e) const { |
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107 | return Edge(e,!e.forward); |
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108 | } |
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109 | |
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110 | public: |
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111 | /// \todo Shouldn't the "source" of an undirected edge be called "aNode" |
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112 | /// or something??? |
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113 | using Parent::source; |
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114 | |
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115 | /// Source of the given Edge. |
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116 | Node source(const Edge &e) const { |
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117 | return e.forward ? Parent::source(e) : Parent::target(e); |
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118 | } |
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119 | |
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120 | /// \todo Shouldn't the "target" of an undirected edge be called "bNode" |
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121 | /// or something??? |
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122 | using Parent::target; |
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123 | |
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124 | /// Target of the given Edge. |
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125 | Node target(const Edge &e) const { |
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126 | return e.forward ? Parent::target(e) : Parent::source(e); |
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127 | } |
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128 | |
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129 | Node oppositeNode(const Node &n, const UndirEdge &e) const { |
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130 | if( n == Parent::source(e)) |
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131 | return Parent::target(e); |
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132 | else if( n == Parent::target(e)) |
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133 | return Parent::source(e); |
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134 | else |
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135 | return INVALID; |
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136 | } |
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137 | |
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138 | /// \brief Directed edge from an undirected edge and a source node. |
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139 | /// |
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140 | /// Returns a (directed) Edge corresponding to the specified UndirEdge |
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141 | /// and source Node. |
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142 | /// |
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143 | Edge direct(const UndirEdge &ue, const Node &s) const { |
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144 | return Edge(ue, s == source(ue)); |
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145 | } |
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146 | |
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147 | /// \brief Directed edge from an undirected edge. |
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148 | /// |
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149 | /// Returns a directed edge corresponding to the specified UndirEdge. |
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150 | /// If the given bool is true the given undirected edge and the |
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151 | /// returned edge have the same source node. |
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152 | Edge direct(const UndirEdge &ue, bool d) const { |
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153 | return Edge(ue, d); |
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154 | } |
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155 | |
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156 | /// Returns whether the given directed edge is same orientation as the |
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157 | /// corresponding undirected edge. |
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158 | /// |
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159 | /// \todo reference to the corresponding point of the undirected graph |
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160 | /// concept. "What does the direction of an undirected edge mean?" |
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161 | bool direction(const Edge &e) const { return e.forward; } |
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162 | |
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163 | |
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164 | using Parent::first; |
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165 | void first(Edge &e) const { |
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166 | Parent::first(e); |
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167 | e.forward=true; |
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168 | } |
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169 | |
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170 | using Parent::next; |
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171 | void next(Edge &e) const { |
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172 | if( e.forward ) { |
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173 | e.forward = false; |
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174 | } |
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175 | else { |
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176 | Parent::next(e); |
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177 | e.forward = true; |
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178 | } |
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179 | } |
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180 | |
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181 | public: |
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182 | |
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183 | void firstOut(Edge &e, const Node &n) const { |
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184 | Parent::firstIn(e,n); |
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185 | if( UndirEdge(e) != INVALID ) { |
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186 | e.forward = false; |
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187 | } |
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188 | else { |
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189 | Parent::firstOut(e,n); |
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190 | e.forward = true; |
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191 | } |
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192 | } |
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193 | void nextOut(Edge &e) const { |
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194 | if( ! e.forward ) { |
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195 | Node n = Parent::target(e); |
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196 | Parent::nextIn(e); |
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197 | if( UndirEdge(e) == INVALID ) { |
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198 | Parent::firstOut(e, n); |
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199 | e.forward = true; |
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200 | } |
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201 | } |
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202 | else { |
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203 | Parent::nextOut(e); |
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204 | } |
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205 | } |
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206 | |
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207 | void firstIn(Edge &e, const Node &n) const { |
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208 | Parent::firstOut(e,n); |
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209 | if( UndirEdge(e) != INVALID ) { |
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210 | e.forward = false; |
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211 | } |
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212 | else { |
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213 | Parent::firstIn(e,n); |
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214 | e.forward = true; |
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215 | } |
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216 | } |
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217 | void nextIn(Edge &e) const { |
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218 | if( ! e.forward ) { |
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219 | Node n = Parent::source(e); |
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220 | Parent::nextOut(e); |
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221 | if( UndirEdge(e) == INVALID ) { |
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222 | Parent::firstIn(e, n); |
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223 | e.forward = true; |
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224 | } |
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225 | } |
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226 | else { |
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227 | Parent::nextIn(e); |
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228 | } |
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229 | } |
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230 | |
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231 | void firstInc(UndirEdge &e, const Node &n) const { |
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232 | Parent::firstOut(e, n); |
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233 | if (e != INVALID) return; |
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234 | Parent::firstIn(e, n); |
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235 | } |
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236 | void nextInc(UndirEdge &e, const Node &n) const { |
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237 | if (Parent::source(e) == n) { |
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238 | Parent::nextOut(e); |
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239 | if (e != INVALID) return; |
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240 | Parent::firstIn(e, n); |
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241 | } else { |
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242 | Parent::nextIn(e); |
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243 | } |
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244 | } |
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245 | |
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246 | void firstInc(UndirEdge &e, bool &d, const Node &n) const { |
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247 | d = true; |
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248 | Parent::firstOut(e, n); |
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249 | if (e != INVALID) return; |
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250 | d = false; |
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251 | Parent::firstIn(e, n); |
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252 | } |
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253 | void nextInc(UndirEdge &e, bool &d) const { |
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254 | if (d) { |
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255 | Node s = Parent::source(e); |
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256 | Parent::nextOut(e); |
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257 | if (e != INVALID) return; |
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258 | d = false; |
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259 | Parent::firstIn(e, s); |
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260 | } else { |
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261 | Parent::nextIn(e); |
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262 | } |
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263 | } |
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264 | |
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265 | // Miscellaneous stuff: |
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266 | |
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267 | /// \todo these methods (id, maxEdgeId) should be moved into separate |
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268 | /// Extender |
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269 | |
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270 | // using Parent::id; |
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271 | // Using "using" is not a good idea, cause it could be that there is |
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272 | // no "id" in Parent... |
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273 | |
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274 | int id(const Node &n) const { |
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275 | return Parent::id(n); |
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276 | } |
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277 | |
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278 | int id(const UndirEdge &e) const { |
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279 | return Parent::id(e); |
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280 | } |
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281 | |
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282 | int id(const Edge &e) const { |
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283 | return 2 * Parent::id(e) + int(e.forward); |
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284 | } |
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285 | |
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286 | int maxNodeId() const { |
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287 | return Parent::maxNodeId(); |
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288 | } |
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289 | |
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290 | int maxEdgeId() const { |
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291 | return 2 * Parent::maxEdgeId() + 1; |
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292 | } |
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293 | |
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294 | int maxUndirEdgeId() const { |
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295 | return Parent::maxEdgeId(); |
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296 | } |
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297 | |
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298 | int maxId(Node) const { |
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299 | return maxNodeId(); |
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300 | } |
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301 | |
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302 | int maxId(Edge) const { |
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303 | return maxEdgeId(); |
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304 | } |
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305 | int maxId(UndirEdge) const { |
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306 | return maxUndirEdgeId(); |
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307 | } |
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308 | |
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309 | int edgeNum() const { |
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310 | return 2 * Parent::edgeNum(); |
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311 | } |
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312 | |
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313 | int undirEdgeNum() const { |
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314 | return Parent::edgeNum(); |
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315 | } |
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316 | |
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317 | Node nodeFromId(int id) const { |
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318 | return Parent::nodeFromId(id); |
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319 | } |
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320 | |
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321 | Edge edgeFromId(int id) const { |
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322 | return direct(Parent::edgeFromId(id >> 1), bool(id & 1)); |
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323 | } |
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324 | |
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325 | UndirEdge undirEdgeFromId(int id) const { |
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326 | return Parent::edgeFromId(id >> 1); |
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327 | } |
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328 | |
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329 | Node fromId(int id, Node) const { |
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330 | return nodeFromId(id); |
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331 | } |
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332 | |
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333 | Edge fromId(int id, Edge) const { |
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334 | return edgeFromId(id); |
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335 | } |
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336 | |
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337 | UndirEdge fromId(int id, UndirEdge) const { |
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338 | return undirEdgeFromId(id); |
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339 | } |
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340 | |
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341 | |
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342 | Edge findEdge(Node source, Node target, Edge prev) const { |
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343 | if (prev == INVALID) { |
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344 | UndirEdge edge = Parent::findEdge(source, target); |
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345 | if (edge != INVALID) return direct(edge, true); |
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346 | edge = Parent::findEdge(target, source); |
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347 | if (edge != INVALID) return direct(edge, false); |
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348 | } else if (direction(prev)) { |
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349 | UndirEdge edge = Parent::findEdge(source, target, prev); |
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350 | if (edge != INVALID) return direct(edge, true); |
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351 | edge = Parent::findEdge(target, source); |
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352 | if (edge != INVALID) return direct(edge, false); |
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353 | } else { |
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354 | UndirEdge edge = Parent::findEdge(target, source, prev); |
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355 | if (edge != INVALID) return direct(edge, false); |
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356 | } |
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357 | return INVALID; |
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358 | } |
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359 | |
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360 | UndirEdge findUndirEdge(Node source, Node target, UndirEdge prev) const { |
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361 | if (prev == INVALID) { |
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362 | UndirEdge edge = Parent::findEdge(source, target); |
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363 | if (edge != INVALID) return edge; |
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364 | edge = Parent::findEdge(target, source); |
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365 | if (edge != INVALID) return edge; |
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366 | } else if (Parent::source(prev) == source) { |
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367 | UndirEdge edge = Parent::findEdge(source, target, prev); |
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368 | if (edge != INVALID) return edge; |
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369 | edge = Parent::findEdge(target, source); |
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370 | if (edge != INVALID) return edge; |
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371 | } else { |
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372 | UndirEdge edge = Parent::findEdge(target, source, prev); |
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373 | if (edge != INVALID) return edge; |
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374 | } |
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375 | return INVALID; |
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376 | } |
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377 | |
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378 | }; |
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379 | |
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380 | |
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381 | template <typename _Base> |
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382 | class UndirBipartiteGraphExtender : public _Base { |
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383 | public: |
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384 | typedef _Base Parent; |
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385 | typedef UndirBipartiteGraphExtender Graph; |
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386 | |
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387 | typedef typename Parent::Node Node; |
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388 | typedef typename Parent::Edge UndirEdge; |
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389 | |
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390 | using Parent::first; |
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391 | using Parent::next; |
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392 | |
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393 | using Parent::id; |
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394 | |
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395 | Node source(const UndirEdge& edge) const { |
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396 | return upperNode(edge); |
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397 | } |
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398 | Node target(const UndirEdge& edge) const { |
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399 | return lowerNode(edge); |
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400 | } |
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401 | |
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402 | void firstInc(UndirEdge& edge, bool& direction, const Node& node) const { |
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403 | if (Parent::upper(node)) { |
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404 | Parent::firstDown(edge, node); |
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405 | direction = true; |
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406 | } else { |
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407 | Parent::firstUp(edge, node); |
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408 | direction = static_cast<UndirEdge&>(edge) == INVALID; |
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409 | } |
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410 | } |
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411 | void nextInc(UndirEdge& edge, bool& direction) const { |
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412 | if (direction) { |
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413 | Parent::nextDown(edge); |
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414 | } else { |
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415 | Parent::nextUp(edge); |
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416 | if (edge == INVALID) direction = true; |
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417 | } |
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418 | } |
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419 | |
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420 | int maxUndirEdgeId() const { |
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421 | return Parent::maxEdgeId(); |
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422 | } |
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423 | |
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424 | UndirEdge undirEdgeFromId(int id) const { |
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425 | return Parent::edgeFromId(id); |
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426 | } |
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427 | |
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428 | class Edge : public UndirEdge { |
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429 | friend class UndirBipartiteGraphExtender; |
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430 | protected: |
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431 | bool forward; |
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432 | |
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433 | Edge(const UndirEdge& edge, bool _forward) |
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434 | : UndirEdge(edge), forward(_forward) {} |
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435 | |
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436 | public: |
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437 | Edge() {} |
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438 | Edge (Invalid) : UndirEdge(INVALID), forward(true) {} |
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439 | bool operator==(const Edge& i) const { |
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440 | return UndirEdge::operator==(i) && forward == i.forward; |
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441 | } |
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442 | bool operator!=(const Edge& i) const { |
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443 | return UndirEdge::operator!=(i) || forward != i.forward; |
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444 | } |
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445 | bool operator<(const Edge& i) const { |
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446 | return UndirEdge::operator<(i) || |
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447 | (!(i.forward<forward) && UndirEdge(*this)<UndirEdge(i)); |
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448 | } |
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449 | }; |
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450 | |
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451 | void first(Edge& edge) const { |
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452 | Parent::first(static_cast<UndirEdge&>(edge)); |
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453 | edge.forward = true; |
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454 | } |
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455 | |
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456 | void next(Edge& edge) const { |
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457 | if (!edge.forward) { |
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458 | Parent::next(static_cast<UndirEdge&>(edge)); |
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459 | } |
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460 | edge.forward = !edge.forward; |
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461 | } |
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462 | |
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463 | void firstOut(Edge& edge, const Node& node) const { |
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464 | if (Parent::upper(node)) { |
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465 | Parent::firstDown(edge, node); |
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466 | edge.forward = true; |
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467 | } else { |
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468 | Parent::firstUp(edge, node); |
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469 | edge.forward = static_cast<UndirEdge&>(edge) == INVALID; |
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470 | } |
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471 | } |
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472 | void nextOut(Edge& edge) const { |
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473 | if (edge.forward) { |
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474 | Parent::nextDown(edge); |
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475 | } else { |
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476 | Parent::nextUp(edge); |
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477 | edge.forward = static_cast<UndirEdge&>(edge) == INVALID; |
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478 | } |
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479 | } |
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480 | |
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481 | void firstIn(Edge& edge, const Node& node) const { |
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482 | if (Parent::lower(node)) { |
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483 | Parent::firstUp(edge, node); |
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484 | edge.forward = true; |
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485 | } else { |
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486 | Parent::firstDown(edge, node); |
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487 | edge.forward = static_cast<UndirEdge&>(edge) == INVALID; |
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488 | } |
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489 | } |
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490 | void nextIn(Edge& edge) const { |
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491 | if (edge.forward) { |
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492 | Parent::nextUp(edge); |
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493 | } else { |
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494 | Parent::nextDown(edge); |
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495 | edge.forward = static_cast<UndirEdge&>(edge) == INVALID; |
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496 | } |
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497 | } |
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498 | |
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499 | Node source(const Edge& edge) const { |
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500 | return edge.forward ? Parent::upperNode(edge) : Parent::lowerNode(edge); |
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501 | } |
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502 | Node target(const Edge& edge) const { |
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503 | return edge.forward ? Parent::lowerNode(edge) : Parent::upperNode(edge); |
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504 | } |
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505 | |
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506 | bool direction(const Edge& edge) const { |
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507 | return edge.forward; |
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508 | } |
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509 | |
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510 | Edge direct(const UndirEdge& edge, const Node& node) const { |
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511 | return Edge(edge, node == Parent::source(edge)); |
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512 | } |
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513 | |
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514 | Edge direct(const UndirEdge& edge, bool direction) const { |
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515 | return Edge(edge, direction); |
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516 | } |
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517 | |
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518 | Node oppositeNode(const UndirEdge& edge, const Node& node) const { |
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519 | return source(edge) == node ? |
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520 | target(edge) : source(edge); |
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521 | } |
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522 | |
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523 | Edge oppositeEdge(const Edge& edge) const { |
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524 | return Edge(edge, !edge.forward); |
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525 | } |
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526 | |
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527 | int id(const Edge& edge) const { |
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528 | return (Parent::id(edge) << 1) + (edge.forward ? 0 : 1); |
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529 | } |
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530 | Edge edgeFromId(int id) const { |
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531 | return Edge(Parent::fromId(id >> 1, UndirEdge()), (id & 1) == 0); |
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532 | } |
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533 | int maxEdgeId() const { |
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534 | return (Parent::maxId(UndirEdge()) << 1) + 1; |
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535 | } |
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536 | |
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537 | class UpperNode : public Node { |
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538 | friend class UndirBipartiteGraphExtender; |
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539 | public: |
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540 | UpperNode() {} |
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541 | UpperNode(const Node& node) : Node(node) { |
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542 | LEMON_ASSERT(Parent::upper(node) || node == INVALID, |
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543 | typename Parent::NodeSetError()); |
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544 | } |
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545 | UpperNode(Invalid) : Node(INVALID) {} |
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546 | }; |
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547 | |
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548 | void first(UpperNode& node) const { |
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549 | Parent::firstUpper(static_cast<Node&>(node)); |
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550 | } |
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551 | void next(UpperNode& node) const { |
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552 | Parent::nextUpper(static_cast<Node&>(node)); |
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553 | } |
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554 | |
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555 | int id(const UpperNode& node) const { |
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556 | return Parent::upperId(node); |
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557 | } |
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558 | |
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559 | class LowerNode : public Node { |
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560 | friend class UndirBipartiteGraphExtender; |
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561 | public: |
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562 | LowerNode() {} |
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563 | LowerNode(const Node& node) : Node(node) { |
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564 | LEMON_ASSERT(Parent::lower(node) || node == INVALID, |
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565 | typename Parent::NodeSetError()); |
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566 | } |
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567 | LowerNode(Invalid) : Node(INVALID) {} |
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568 | }; |
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569 | |
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570 | void first(LowerNode& node) const { |
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571 | Parent::firstLower(static_cast<Node&>(node)); |
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572 | } |
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573 | void next(LowerNode& node) const { |
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574 | Parent::nextLower(static_cast<Node&>(node)); |
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575 | } |
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576 | |
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577 | int id(const LowerNode& node) const { |
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578 | return Parent::upperId(node); |
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579 | } |
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580 | |
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581 | |
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582 | |
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583 | int maxId(Node) const { |
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584 | return Parent::maxNodeId(); |
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585 | } |
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586 | int maxId(LowerNode) const { |
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587 | return Parent::maxLowerId(); |
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588 | } |
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589 | int maxId(UpperNode) const { |
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590 | return Parent::maxUpperId(); |
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591 | } |
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592 | int maxId(Edge) const { |
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593 | return maxEdgeId(); |
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594 | } |
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595 | int maxId(UndirEdge) const { |
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596 | return maxUndirEdgeId(); |
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597 | } |
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598 | |
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599 | |
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600 | Node fromId(int id, Node) const { |
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601 | return Parent::nodeFromId(id); |
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602 | } |
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603 | UpperNode fromId(int id, UpperNode) const { |
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604 | return Parent::fromUpperId(id); |
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605 | } |
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606 | LowerNode fromId(int id, LowerNode) const { |
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607 | return Parent::fromLowerId(id); |
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608 | } |
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609 | Edge fromId(int id, Edge) const { |
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610 | return edgeFromId(id); |
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611 | } |
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612 | UndirEdge fromId(int id, UndirEdge) const { |
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613 | return undirEdgeFromId(id); |
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614 | } |
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615 | |
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616 | }; |
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617 | |
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618 | } |
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619 | |
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620 | #endif // LEMON_UNDIR_GRAPH_EXTENDER_H |
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