1 | /* -*- C++ -*- |
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2 | * lemon/full_graph.h - Part of LEMON, a generic C++ optimization library |
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3 | * |
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4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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5 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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6 | * |
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7 | * Permission to use, modify and distribute this software is granted |
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8 | * provided that this copyright notice appears in all copies. For |
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9 | * precise terms see the accompanying LICENSE file. |
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10 | * |
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11 | * This software is provided "AS IS" with no warranty of any kind, |
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12 | * express or implied, and with no claim as to its suitability for any |
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13 | * purpose. |
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14 | * |
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15 | */ |
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16 | |
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17 | #ifndef LEMON_FULL_GRAPH_H |
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18 | #define LEMON_FULL_GRAPH_H |
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19 | |
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20 | #include <cmath> |
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21 | |
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22 | |
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23 | #include <lemon/bits/iterable_graph_extender.h> |
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24 | #include <lemon/bits/alteration_notifier.h> |
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25 | #include <lemon/bits/default_map.h> |
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26 | |
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27 | #include <lemon/invalid.h> |
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28 | #include <lemon/utility.h> |
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29 | |
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30 | |
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31 | ///\ingroup graphs |
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32 | ///\file |
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33 | ///\brief FullGraph and SymFullGraph classes. |
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34 | |
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35 | |
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36 | namespace lemon { |
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37 | |
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38 | class FullGraphBase { |
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39 | int NodeNum; |
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40 | int EdgeNum; |
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41 | public: |
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42 | |
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43 | typedef FullGraphBase Graph; |
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44 | |
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45 | class Node; |
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46 | class Edge; |
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47 | |
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48 | public: |
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49 | |
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50 | FullGraphBase() {} |
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51 | |
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52 | |
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53 | ///Creates a full graph with \c n nodes. |
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54 | void construct(int n) { NodeNum = n; EdgeNum = n * n; } |
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55 | /// |
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56 | // FullGraphBase(const FullGraphBase &_g) |
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57 | // : NodeNum(_g.nodeNum()), EdgeNum(NodeNum*NodeNum) { } |
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58 | |
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59 | typedef True NodeNumTag; |
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60 | typedef True EdgeNumTag; |
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61 | |
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62 | ///Number of nodes. |
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63 | int nodeNum() const { return NodeNum; } |
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64 | ///Number of edges. |
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65 | int edgeNum() const { return EdgeNum; } |
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66 | |
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67 | /// Maximum node ID. |
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68 | |
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69 | /// Maximum node ID. |
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70 | ///\sa id(Node) |
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71 | int maxId(Node = INVALID) const { return NodeNum-1; } |
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72 | /// Maximum edge ID. |
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73 | |
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74 | /// Maximum edge ID. |
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75 | ///\sa id(Edge) |
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76 | int maxId(Edge = INVALID) const { return EdgeNum-1; } |
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77 | |
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78 | Node source(Edge e) const { return e.id % NodeNum; } |
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79 | Node target(Edge e) const { return e.id / NodeNum; } |
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80 | |
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81 | |
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82 | /// Node ID. |
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83 | |
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84 | /// The ID of a valid Node is a nonnegative integer not greater than |
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85 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
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86 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
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87 | /// |
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88 | /// The ID of the \ref INVALID node is -1. |
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89 | ///\return The ID of the node \c v. |
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90 | |
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91 | static int id(Node v) { return v.id; } |
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92 | /// Edge ID. |
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93 | |
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94 | /// The ID of a valid Edge is a nonnegative integer not greater than |
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95 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
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96 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
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97 | /// |
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98 | /// The ID of the \ref INVALID edge is -1. |
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99 | ///\return The ID of the edge \c e. |
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100 | static int id(Edge e) { return e.id; } |
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101 | |
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102 | static Node fromId(int id, Node) { return Node(id);} |
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103 | |
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104 | static Edge fromId(int id, Edge) { return Edge(id);} |
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105 | |
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106 | /// Finds an edge between two nodes. |
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107 | |
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108 | /// Finds an edge from node \c u to node \c v. |
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109 | /// |
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110 | /// If \c prev is \ref INVALID (this is the default value), then |
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111 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
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112 | /// the next edge from \c u to \c v after \c prev. |
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113 | /// \return The found edge or INVALID if there is no such an edge. |
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114 | Edge findEdge(Node u,Node v, Edge prev = INVALID) |
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115 | { |
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116 | return prev.id == -1 ? Edge(*this, u.id, v.id) : INVALID; |
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117 | } |
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118 | |
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119 | |
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120 | class Node { |
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121 | friend class FullGraphBase; |
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122 | |
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123 | protected: |
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124 | int id; |
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125 | Node(int _id) { id = _id;} |
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126 | public: |
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127 | Node() {} |
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128 | Node (Invalid) { id = -1; } |
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129 | bool operator==(const Node node) const {return id == node.id;} |
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130 | bool operator!=(const Node node) const {return id != node.id;} |
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131 | bool operator<(const Node node) const {return id < node.id;} |
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132 | }; |
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133 | |
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134 | |
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135 | |
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136 | class Edge { |
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137 | friend class FullGraphBase; |
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138 | |
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139 | protected: |
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140 | int id; // NodeNum * target + source; |
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141 | |
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142 | Edge(int _id) : id(_id) {} |
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143 | |
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144 | Edge(const FullGraphBase& _graph, int source, int target) |
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145 | : id(_graph.NodeNum * target+source) {} |
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146 | public: |
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147 | Edge() { } |
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148 | Edge (Invalid) { id = -1; } |
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149 | bool operator==(const Edge edge) const {return id == edge.id;} |
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150 | bool operator!=(const Edge edge) const {return id != edge.id;} |
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151 | bool operator<(const Edge edge) const {return id < edge.id;} |
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152 | }; |
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153 | |
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154 | void first(Node& node) const { |
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155 | node.id = NodeNum-1; |
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156 | } |
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157 | |
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158 | static void next(Node& node) { |
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159 | --node.id; |
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160 | } |
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161 | |
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162 | void first(Edge& edge) const { |
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163 | edge.id = EdgeNum-1; |
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164 | } |
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165 | |
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166 | static void next(Edge& edge) { |
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167 | --edge.id; |
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168 | } |
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169 | |
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170 | void firstOut(Edge& edge, const Node& node) const { |
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171 | edge.id = EdgeNum + node.id - NodeNum; |
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172 | } |
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173 | |
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174 | void nextOut(Edge& edge) const { |
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175 | edge.id -= NodeNum; |
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176 | if (edge.id < 0) edge.id = -1; |
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177 | } |
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178 | |
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179 | void firstIn(Edge& edge, const Node& node) const { |
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180 | edge.id = node.id * NodeNum; |
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181 | } |
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182 | |
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183 | void nextIn(Edge& edge) const { |
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184 | ++edge.id; |
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185 | if (edge.id % NodeNum == 0) edge.id = -1; |
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186 | } |
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187 | |
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188 | }; |
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189 | |
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190 | |
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191 | typedef AlterableGraphExtender<FullGraphBase> AlterableFullGraphBase; |
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192 | typedef IterableGraphExtender<AlterableFullGraphBase> IterableFullGraphBase; |
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193 | typedef DefaultMappableGraphExtender<IterableFullGraphBase> MappableFullGraphBase; |
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194 | |
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195 | /// \addtogroup graphs |
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196 | /// @{ |
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197 | |
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198 | ///A full graph class. |
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199 | |
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200 | ///This is a simple and fast directed full graph implementation. |
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201 | ///It is completely static, so you can neither add nor delete either |
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202 | ///edges or nodes. |
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203 | ///Thus it conforms to |
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204 | ///the \ref concept::StaticGraph "StaticGraph" concept |
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205 | ///\sa concept::StaticGraph. |
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206 | /// |
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207 | ///\author Alpar Juttner |
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208 | class FullGraph : public MappableFullGraphBase { |
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209 | public: |
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210 | |
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211 | FullGraph(int n) { construct(n); } |
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212 | }; |
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213 | |
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214 | ///@} |
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215 | |
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216 | // Base graph class for UndirFullGraph. |
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217 | class UndirFullGraphBase { |
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218 | int NodeNum; |
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219 | int EdgeNum; |
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220 | public: |
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221 | |
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222 | typedef UndirFullGraphBase Graph; |
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223 | |
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224 | class Node; |
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225 | class Edge; |
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226 | |
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227 | public: |
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228 | |
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229 | UndirFullGraphBase() {} |
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230 | |
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231 | |
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232 | ///Creates a full graph with \c n nodes. |
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233 | void construct(int n) { NodeNum = n; EdgeNum = n * (n - 1) / 2; } |
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234 | /// |
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235 | // FullGraphBase(const FullGraphBase &_g) |
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236 | // : NodeNum(_g.nodeNum()), EdgeNum(NodeNum*NodeNum) { } |
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237 | |
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238 | typedef True NodeNumTag; |
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239 | typedef True EdgeNumTag; |
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240 | |
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241 | ///Number of nodes. |
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242 | int nodeNum() const { return NodeNum; } |
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243 | ///Number of edges. |
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244 | int edgeNum() const { return EdgeNum; } |
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245 | |
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246 | /// Maximum node ID. |
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247 | |
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248 | /// Maximum node ID. |
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249 | ///\sa id(Node) |
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250 | int maxId(Node = INVALID) const { return NodeNum-1; } |
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251 | /// Maximum edge ID. |
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252 | |
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253 | /// Maximum edge ID. |
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254 | ///\sa id(Edge) |
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255 | int maxId(Edge = INVALID) const { return EdgeNum-1; } |
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256 | |
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257 | Node source(Edge e) const { |
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258 | /// \todo we may do it faster |
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259 | return ((int)sqrt((double)(1 + 8 * e.id)) + 1) / 2; |
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260 | } |
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261 | |
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262 | Node target(Edge e) const { |
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263 | int source = ((int)sqrt((double)(1 + 8 * e.id)) + 1) / 2;; |
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264 | return e.id - (source) * (source - 1) / 2; |
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265 | } |
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266 | |
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267 | |
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268 | /// Node ID. |
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269 | |
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270 | /// The ID of a valid Node is a nonnegative integer not greater than |
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271 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
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272 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
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273 | /// |
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274 | /// The ID of the \ref INVALID node is -1. |
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275 | ///\return The ID of the node \c v. |
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276 | |
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277 | static int id(Node v) { return v.id; } |
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278 | /// Edge ID. |
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279 | |
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280 | /// The ID of a valid Edge is a nonnegative integer not greater than |
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281 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
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282 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
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283 | /// |
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284 | /// The ID of the \ref INVALID edge is -1. |
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285 | ///\return The ID of the edge \c e. |
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286 | static int id(Edge e) { return e.id; } |
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287 | |
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288 | /// Finds an edge between two nodes. |
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289 | |
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290 | /// Finds an edge from node \c u to node \c v. |
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291 | /// |
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292 | /// If \c prev is \ref INVALID (this is the default value), then |
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293 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
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294 | /// the next edge from \c u to \c v after \c prev. |
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295 | /// \return The found edge or INVALID if there is no such an edge. |
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296 | Edge findEdge(Node u,Node v, Edge prev = INVALID) |
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297 | { |
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298 | return prev.id == -1 ? Edge(*this, u.id, v.id) : INVALID; |
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299 | } |
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300 | |
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301 | |
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302 | class Node { |
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303 | friend class UndirFullGraphBase; |
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304 | |
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305 | protected: |
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306 | int id; |
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307 | Node(int _id) { id = _id;} |
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308 | public: |
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309 | Node() {} |
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310 | Node (Invalid) { id = -1; } |
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311 | bool operator==(const Node node) const {return id == node.id;} |
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312 | bool operator!=(const Node node) const {return id != node.id;} |
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313 | bool operator<(const Node node) const {return id < node.id;} |
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314 | }; |
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315 | |
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316 | |
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317 | |
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318 | class Edge { |
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319 | friend class UndirFullGraphBase; |
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320 | |
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321 | protected: |
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322 | int id; // NodeNum * target + source; |
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323 | |
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324 | Edge(int _id) : id(_id) {} |
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325 | |
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326 | Edge(const UndirFullGraphBase& _graph, int source, int target) |
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327 | : id(_graph.NodeNum * target+source) {} |
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328 | public: |
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329 | Edge() { } |
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330 | Edge (Invalid) { id = -1; } |
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331 | bool operator==(const Edge edge) const {return id == edge.id;} |
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332 | bool operator!=(const Edge edge) const {return id != edge.id;} |
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333 | bool operator<(const Edge edge) const {return id < edge.id;} |
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334 | }; |
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335 | |
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336 | void first(Node& node) const { |
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337 | node.id = NodeNum-1; |
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338 | } |
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339 | |
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340 | static void next(Node& node) { |
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341 | --node.id; |
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342 | } |
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343 | |
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344 | void first(Edge& edge) const { |
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345 | edge.id = EdgeNum-1; |
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346 | } |
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347 | |
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348 | static void next(Edge& edge) { |
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349 | --edge.id; |
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350 | } |
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351 | |
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352 | void firstOut(Edge& edge, const Node& node) const { |
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353 | edge.id = node.id != 0 ? node.id * (node.id - 1) / 2 : -1; |
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354 | } |
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355 | |
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356 | /// \todo with specialized iterators we can make faster iterating |
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357 | void nextOut(Edge& e) const { |
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358 | int source = ((int)sqrt((double)(1 + 8 * e.id)) + 1) / 2;; |
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359 | int target = e.id - (source) * (source - 1) / 2; |
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360 | ++target; |
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361 | e.id = target < source ? source * (source - 1) / 2 + target : -1; |
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362 | } |
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363 | |
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364 | void firstIn(Edge& edge, const Node& node) const { |
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365 | edge.id = node.id * (node.id + 1) / 2 - 1; |
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366 | } |
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367 | |
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368 | void nextIn(Edge& e) const { |
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369 | int source = ((int)sqrt((double)(1 + 8 * e.id)) + 1) / 2;; |
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370 | int target = e.id - (source) * (source - 1) / 2; ++target; |
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371 | ++source; |
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372 | e.id = source < NodeNum ? source * (source - 1) / 2 + target : -1; |
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373 | } |
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374 | |
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375 | }; |
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376 | |
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377 | /// \addtogroup graphs |
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378 | /// @{ |
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379 | |
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380 | |
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381 | /// \todo UndirFullGraph from the UndirFullGraphBase |
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382 | |
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383 | |
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384 | /// @} |
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385 | |
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386 | } //namespace lemon |
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387 | |
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388 | |
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389 | #endif //LEMON_FULL_GRAPH_H |
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